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Inserting a table and applying bullets and numbering
Quiz by Nerissa Marquez
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Introduction to Free Fall A free-falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. There are two important motion characteristics that are true of free-falling objects: • Free-falling objects do not encounter air resistance. • All free-falling objects (on Earth) accelerate downwards at a rate of 9.8 m/s/s (often approximated as 10 m/s/s for back-of-the-envelope calculations) Because free-falling objects are accelerating downwards at a rate of 9.8 m/s/s, a ticker tape trace or dot diagram of its motion would depict an acceleration. The dot diagram at the right depicts the acceleration of a free-falling object. The position of the object at regular time intervals - say, every 0.1 second - is shown. The fact that the distance that the object travels every interval of time is increasing is a sure sign that the ball is speeding up as it falls downward. Recall from an earlier lesson, that if an object travels downward and speeds up, then its acceleration is downward. Free-fall acceleration is often witnessed in a physics classroom by means of an ever-popular strobe light demonstration. The room is darkened and a jug full of water is connected by a tube to a medicine dropper. The dropper drips water and the strobe illuminate the falling droplets at a regular rate - say once every 0.2 seconds. Instead of seeing a stream of water free-falling from the medicine dropper, several consecutive drops with increasing separation distance are seen. The pattern of drops resembles the dot diagram shown in the graphic at the right. The Acceleration of Gravity It was learned in the previous part of this lesson that a free-falling object is an object that is falling under the sole influence of gravity. A free-falling object has an acceleration of 9.8 m/s/s, downward (on Earth). This numerical value for the acceleration of a free-falling object is such an important value that it is given a special name. It is known as the acceleration of gravity - the acceleration for any object moving under the sole influence of gravity. A matter of fact, this quantity known as the acceleration of gravity is such an important quantity that physicists have a special symbol to denote it - the symbol g. The numerical value for the acceleration of gravity is most accurately known as 9.8 m/s2. There are slight variations in this numerical value (to the second decimal place) that are dependent primarily upon on altitude. We will occasionally use the approximated value of 10 m/s2 in order to reduce the complexity of the many mathematical tasks that we will perform with this number. By so doing, we will be able to better focus on the conceptual nature of physics without too much of a sacrifice in numerical accuracy. g = 9.8 m/s2, downward Look It Up! Even on the surface of the Earth, there are local variations in the value of the acceleration of gravity (g). These variations are due to latitude, altitude and the local geological structure of the region. Recall from an earlier lesson that acceleration is the rate at which an object changes its velocity. It is the ratio of velocity change to time between any two points in an object's path. To accelerate at 9.8 m/s2 means to change the velocity by 9.8 m/s each second. If the velocity and time for a free-falling object being dropped from a position of rest were tabulated, then one would note the following pattern. Time (s) Velocity (m/s) 0 0 1 - 9.8 2 - 19.6 3 - 29.4 4 - 39.2 5 - 49.0 . Observe that the velocity-time data above reveal that the object's velocity is changing by 9.8 m/s each consecutive second. That is, the free-falling object has an acceleration of approximately 9.8 m/s2. Another way to represent this acceleration of 9.8 m/s2 is to add numbers to our dot diagram that we saw earlier in this lesson. The velocity of the ball is seen to increase as depicted in the diagram at the right. (NOTE: The diagram is not drawn to scale - in two seconds, the object would drop considerably further than the distance from shoulder to toes.) Representing Free Fall by Graphs • Early in Lesson 1 it was mentioned that there are a variety of means of describing the motion of objects. One such means of describing the motion of objects is through the use of graphs - position versus time and velocity vs. time graphs. In this part of Lesson 5, the motion of a free-falling motion will be represented using these two basic types of graphs. Representing Free Fall by Position-Time Graphs A position versus time graph for a free-falling object is shown below. Observe that the line on the graph curves. As learned earlier, a curved line on a position versus time graph signifies an accelerated motion. Since a free-falling object is undergoing an acceleration (g = 9.8 m/s/s), it would be expected that its position-time graph would be curved. A further look at the position-time graph reveals that the object starts with a small velocity (slow) and finishes with a large velocity (fast). Since the slope of any position vs. time graph is the velocity of the object (as learned in Lesson 3), the small initial slope indicates a small initial velocity and the large final slope indicates a large final velocity. Finally, the negative slope of the line indicates a negative (i.e., downward) velocity. Representing Free Fall by Velocity-Time Graphs A velocity versus time graph for a free-falling object is shown below. Observe that the line on the graph is a straight, diagonal line. As learned earlier, a diagonal line on a velocity versus time graph signifies an accelerated motion. Since a free-falling object is undergoing an acceleration (g = 9,8 m/s/s, downward), it would be expected that its velocity-time graph would be diagonal. A further look at the velocity-time graph reveals that the object starts with a zero velocity (as read from the graph) and finishes with a large, negative velocity; that is, the object is moving in the negative direction and speeding up. An object that is moving in the negative direction and speeding up is said to have a negative acceleration (if necessary, review the vector nature of acceleration). Since the slope of any velocity versus time graph is the acceleration of the object (as learned in Lesson 4), the constant, negative slope indicates a constant, negative acceleration. This analysis of the slope on the graph is consistent with the motion of a free-falling object - an object moving with a constant acceleration of 9.8 m/s/s in the downward direction. The Kinematic Equations The goal of this first unit has been to investigate the variety of means by which the motion of objects can be described. The variety of representations that we have investigated includes verbal representations, pictorial representations, numerical representations, and graphical representations (position-time graphs and velocity-time graphs). In Lesson 6, we will investigate the use of equations to describe and represent the motion of objects. These equations are known as kinematic equations. There are a variety of quantities associated with the motion of objects - displacement (and distance), velocity (and speed), acceleration, and time. Knowledge of each of these quantities provides descriptive information about an object's motion. For example, if a car is known to move with a constant velocity of 22.0 m/s, North for 12.0 seconds for a northward displacement of 264 meters, then the motion of the car is fully described. And if a second car is known to accelerate from a rest position with an eastward acceleration of 3.0 m/s2 for a time of 8.0 seconds, providing a final velocity of 24 m/s, East and an eastward displacement of 96 meters, then the motion of this car is fully described. These two statements provide a complete description of the motion of an object. However, such completeness is not always known. It is often the case that only a few parameters of an object's motion are known, while the rest are unknown. For example as you approach the stoplight, you might know that your car has a velocity of 22 m/s, East and is capable of a skidding acceleration of 8.0 m/s2, West. However you do not know the displacement that your car would experience if you were to slam on your brakes and skid to a stop; and you do not know the time required to skid to a stop. In such an instance as this, the unknown parameters can be determined using physics principles and mathematical equations (the kinematic equations). The BIG 4 The kinematic equations are a set of four equations that can be utilized to predict unknown information about an object's motion if other information is known. The equations can be utilized for any motion that can be described as being either a constant velocity motion (an acceleration of 0 m/s/s) or a constant acceleration motion. They can never be used over any time period during which the acceleration is changing. Each of the kinematic equations include four variables. If the values of three of the four variables are known, then the value of the fourth variable can be calculated. In this manner, the kinematic equations provide a useful means of predicting information about an object's motion if other information is known. For example, if the acceleration value and the initial and final velocity values of a skidding car is known, then the displacement of the car and the time can be predicted using the kinematic equations. Lesson 6 of this unit will focus upon the use of the kinematic equations to predict the numerical values of unknown quantities for an object's motion. The four kinematic equations that describe an object's motion are: There are a variety of symbols used in the above equations. Each symbol has its own specific meaning. The symbol d stands for the displacement of the object. The symbol t stands for the time for which the object moved. The symbol a stands for the acceleration of the object. And the symbol v stands for the velocity of the object; a subscript of i after the v (as in vi) indicates that the velocity value is the initial velocity value and a subscript of f (as in vf) indicates that the velocity value is the final velocity value. Each of these four equations appropriately describes the mathematical relationship between the parameters of an object's motion. As such, they can be used to predict unknown information about an object's motion if other information is known. In the next part of Lesson 6 we will investigate the process of doing this. Kinematic Equations and Problem-Solving The four kinematic equations that describe the mathematical relationship between the parameters that describe an object's motion were introduced in the previous part of Lesson 6. The four kinematic equations are: In the above equations, the symbol d stands for the displacement of the object. The symbol t stands for the time for which the object moved. The symbol a stand for the acceleration of the object. And the symbol v stands for the instantaneous velocity of the object; a subscript of i after the v (as in vi) indicates that the velocity value is the initial velocity value and a subscript of f (as in vf) indicates that the velocity value is the final velocity value. Problem-Solving Strategy In this part of Lesson 6 we will investigate the process of using the equations to determine unknown information about an object's motion. The process involves the use of a problem-solving strategy that will be used throughout the course. The strategy involves the following steps: 1. Construct an informative diagram of the physical situation. 2. Identify and list the given information in variable form. 3. Identify and list the unknown information in variable form. 4. Identify and list the equation that will be used to determine unknown information from known information. 5. Substitute known values into the equation and use appropriate algebraic steps to solve for the unknown information. 6. Check your answer to ensure that it is reasonable and mathematically correct. The use of this problem-solving strategy in the solution of the following problem is modeled in Examples A and B below. Example Problem A . Ima Hurryin is approaching a stoplight moving with a velocity of +30.0 m/s. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is -8.00 m/s2, then determine the displacement of the car during the skidding process. (Note that the direction of the velocity and the acceleration vectors are denoted by a + and a - sign.) The solution to this problem begins by the construction of an informative diagram of the physical situation. This is shown below. The second step involves the identification and listing of known information in variable form. Note that the vf value can be inferred to be 0 m/s since Ima's car comes to a stop. The initial velocity (vi) of the car is +30.0 m/s since this is the velocity at the beginning of the motion (the skidding motion). And the acceleration (a) of the car is given as - 8.00 m/s2. (Always pay careful attention to the + and - signs for the given quantities.) The next step of the strategy involves the listing of the unknown (or desired) information in variable form. In this case, the problem requests information about the displacement of the car. So d is the unknown quantity. The results of the first three steps are shown in the table below. Diagram: Given: Find: vi = +30.0 m/s vf = 0 m/s a = - 8.00 m/s2 d = ?? The next step of the strategy involves identifying a kinematic equation that would allow you to determine the unknown quantity. There are four kinematic equations to choose from. In general, you will always choose the equation that contains the three known and the one unknown variable. In this specific case, the three known variables and the one unknown variable are vf, vi, a, and d. Thus, you will look for an equation that has these four variables listed in it. An inspection of the four equations above reveals that the equation on the top right contains all four variables. vf2 = vi2 + 2 • a • d Once the equation is identified and written down, the next step of the strategy involves substituting known values into the equation and using proper algebraic steps to solve for the unknown information. This step is shown below. (0 m/s)2 = (30.0 m/s)2 + 2 • (-8.00 m/s2) • d 0 m2/s2 = 900 m2/s2 + (-16.0 m/s2) • d (16.0 m/s2) • d = 900 m2/s2 - 0 m2/s2 (16.0 m/s2)*d = 900 m2/s2 d = (900 m2/s2)/ (16.0 m/s2) d = (900 m2/s2)/ (16.0 m/s2) d = 56.3 m The solution above reveals that the car will skid a distance of 56.3 meters. (Note that this value is rounded to the third digit.) The last step of the problem-solving strategy involves checking the answer to assure that it is both reasonable and accurate. The value seems reasonable enough. It takes a car a considerable distance to skid from 30.0 m/s (approximately 65 mi/hr) to a stop. The calculated distance is approximately one-half a football field, making this a very reasonable skidding distance. Checking for accuracy involves substituting the calculated value back into the equation for displacement and insuring that the left side of the equation is equal to the right side of the equation. Indeed it is! Example Problem B Ben Rushin is waiting at a stoplight. When it finally turns green, Ben accelerated from rest at a rate of a 6.00 m/s2 for a time of 4.10 seconds. Determine the displacement of Ben's car during this time period. Once more, the solution to this problem begins by the construction of an informative diagram of the physical situation. This is shown below. The second step of the strategy involves the identification and listing of known information in variable form. Note that the vi value can be inferred to be 0 m/s since Ben's car is initially at rest. The acceleration (a) of the car is 6.00 m/s2. And the time (t) is given as 4.10 s. The next step of the strategy involves the listing of the unknown (or desired) information in variable form. In this case, the problem requests information about the displacement of the car. So d is the unknown information. The results of the first three steps are shown in the table below. Diagram: Given: Find: vi = 0 m/s t = 4.10 s a = 6.00 m/s2 d = ?? The next step of the strategy involves identifying a kinematic equation that would allow you to determine the unknown quantity. There are four kinematic equations to choose from. Again, you will always search for an equation that contains the three known variables and the one unknown variable. In this specific case, the three known variables and the one unknown variable are t, vi, a, and d. An inspection of the four equations above reveals that the equation on the top left contains all four variables. d = vi • t + ½ • a • t2 Once the equation is identified and written down, the next step of the strategy involves substituting known values into the equation and using proper algebraic steps to solve for the unknown information. This step is shown below. d = (0 m/s) • (4.1 s) + ½ • (6.00 m/s2) • (4.10 s)2 d = (0 m) + ½ • (6.00 m/s2) • (16.81 s2) d = 0 m + 50.43 m d = 50.4 m The solution above reveals that the car will travel a distance of 50.4 meters. (Note that this value is rounded to the third digit.) The last step of the problem-solving strategy involves checking the answer to assure that it is both reasonable and accurate. The value seems reasonable enough. A car with an acceleration of 6.00 m/s/s will reach a speed of approximately 24 m/s (approximately 50 mi/hr) in 4.10 s. The distance over which such a car would be displaced during this time period would be approximately one-half a football field, making this a very reasonable distance. Checking for accuracy involves substituting the calculated value back into the equation for displacement and insuring that the left side of the equation is equal to the right side of the equation. Indeed, it is! The two example problems above illustrate how the kinematic equations can be combined with a simple problem-solving strategy to predict unknown motion parameters for a moving object. Provided that three motion parameters are known, any of the remaining values can be determined. In the next part of Lesson 6, we will see how this strategy can be applied to free fall situations. Or if interested, you can try some practice problems and check your answer against the given solutions. Kinematic Equations and Free Fall As mentioned in Lesson 5, a free-falling object is an object that is falling under the sole influence of gravity. That is to say that any object that is moving and being acted upon only be the force of gravity is said to be "in a state of free fall." Such an object will experience a downward acceleration of 9.8 m/s/s. Whether the object is falling downward or rising upward towards its peak, if it is under the sole influence of gravity, then its acceleration value is 9.8 m/s/s. Like any moving object, the motion of an object in free fall can be described by four kinematic equations. The kinematic equations that describe any object's motion are: The symbols in the above equation have a specific meaning: the symbol d stands for the displacement; the symbol t stands for the time; the symbol a stands for the acceleration of the object; the symbol vi stands for the initial velocity value; and the symbol vf stands for the final velocity. Applying Free Fall Concepts to Problem-Solving There are a few conceptual characteristics of free fall motion that will be of value when using the equations to analyze free fall motion. These concepts are described as follows: • An object in free fall experiences an acceleration of -9.8 m/s/s. (The - sign indicates a downward acceleration.) Whether explicitly stated or not, the value of the acceleration in the kinematic equations is -9.8 m/s/s for any freely falling object. • If an object is merely dropped (as opposed to being thrown) from an elevated height, then the initial velocity of the object is 0 m/s. • If an object is projected upwards in a perfectly vertical direction, then it will slow down as it rises upward. The instant at which it reaches the peak of its trajectory, its velocity is 0 m/s. This value can be used as one of the motion parameters in the kinematic equations; for example, the final velocity (vf) after traveling to the peak would be assigned a value of 0 m/s. • If an object is projected upwards in a perfectly vertical direction, then the velocity at which it is projected is equal in magnitude and opposite in sign to the velocity that it has when it returns to the same height. That is, a ball projected vertically with an upward velocity of +30 m/s will have a downward velocity of -30 m/s when it returns to the same height. These four principles and the four kinematic equations can be combined to solve problems involving the motion of free-falling objects. The two examples below illustrate application of free fall principles to kinematic problem-solving. In each example, the problem solving strategy that was introduced earlier in this lesson will be utilized. Example Problem A Luke Autbeloe drops a pile of roof shingles from the top of a roof located 8.52 meters above the ground. Determine the time required for the shingles to reach the ground. The solution to this problem begins by the construction of an informative diagram of the physical situation. This is shown below. The second step involves the identification and listing of known information in variable form. You might note that in the statement of the problem, there is only one piece of numerical information explicitly stated: 8.52 meters. The displacement (d) of the shingles is -8.52 m. (The - sign indicates that the displacement is downward). The remaining information must be extracted from the problem statement based upon your understanding of the above principles. For example, the vi value can be inferred to be 0 m/s since the shingles are dropped (released from rest; see note above). And the acceleration (a) of the shingles can be inferred to be -9.8 m/s2 since the shingles are free-falling (see note above). (Always pay careful attention to the + and - signs for the given quantities.) The next step of the solution involves the listing of the unknown (or desired) information in variable form. In this case, the problem requests information about the time of fall. So t is the unknown quantity. The results of the first three steps are shown in the table below. Diagram: Given: Find: vi = 0.0 m/s d = -8.52 m a = - 9.8 m/s2 t = ?? The next step involves identifying a kinematic equation that allows you to determine the unknown quantity. There are four kinematic equations to choose from. In general, you will always choose the equation that contains the three known and the one unknown variable. In this specific case, the three known variables and the one unknown variable are d, vi, a, and t. Thus, you will look for an equation that has these four variables listed in it. An inspection of the four equations above reveals that the equation on the top left contains all four variables. d = vi • t + ½ • a • t2 Once the equation is identified and written down, the next step involves substituting known values into the equation and using proper algebraic steps to solve for the unknown information. This step is shown below. -8.52 m = (0 m/s) • (t) + ½ • (-9.8 m/s2) • (t)2 -8.52 m = (0 m) *(t) + (-4.9 m/s2) • (t)2 -8.52 m = (-4.9 m/s2) • (t)2 (-8.52 m)/(-4.9 m/s2) = t2 1.739 s2 = t2 t = 1.32 s The solution above reveals that the shingles will fall for a time of 1.32 seconds before hitting the ground. (Note that this value is rounded to the third digit.) The last step of the problem-solving strategy involves checking the answer to assure that it is both reasonable and accurate. The value seems reasonable enough. The shingles are falling a distance of approximately 10 yards (1 meter is pretty close to 1 yard); it seems that an answer between 1 and 2 seconds would be highly reasonable. The calculated time easily falls within this range of reasonability. Checking for accuracy involves substituting the calculated value back into the equation for time and insuring that the left side of the equation is equal to the right side of the equation. Indeed it is! Example Problem B Rex Things throws his mother's crystal vase vertically upwards with an initial velocity of 26.2 m/s. Determine the height to which the vase will rise above its initial height. Once more, the solution to this problem begins by the construction of an informative diagram of the physical situation. This is shown below. The second step involves the identification and listing of known information in variable form. You might note that in the statement of the problem, there is only one piece of numerical information explicitly stated: 26.2 m/s. The initial velocity (vi) of the vase is +26.2 m/s. (The + sign indicates that the initial velocity is an upwards velocity). The remaining information must be extracted from the problem statement based upon your understanding of the above principles. Note that the vf value can be inferred to be 0 m/s since the final state of the vase is the peak of its trajectory (see note above). The acceleration (a) of the vase is -9.8 m/s2 (see note above). The next step involves the listing of the unknown (or desired) information in variable form. In this case, the problem requests information about the displacement of the vase (the height to which it rises above its starting height). So d is the unknown information. The results of the first three steps are shown in the table below. Diagram: Given: Find: vi = 26.2 m/s vf = 0 m/s a = -9.8 m/s2 d = ?? The next step involves identifying a kinematic equation that would allow you to determine the unknown quantity. There are four kinematic equations to choose from. Again, you will always search for an equation that contains the three known variables and the one unknown variable. In this specific case, the three known variables and the one unknown variable are vi, vf, a, and d. An inspection of the four equations above reveals that the equation on the top right contains all four variables. vf2 = vi2 + 2 • a • d Once the equation is identified and written down, the next step involves substituting known values into the equation and using proper algebraic steps to solve for the unknown information. This step is shown below. (0 m/s)2 = (26.2 m/s)2 + 2 •(-9.8m/s2) •d 0 m2/s2 = 686.44 m2/s2 + (-19.6 m/s2) •d (-19.6 m/s2) • d = 0 m2/s2 -686.44 m2/s2 (-19.6 m/s2) • d = -686.44 m2/s2 d = (-686.44 m2/s2)/ (-19.6 m/s2) d = 35.0 m The solution above reveals that the vase will travel upwards for a displacement of 35.0 meters before reaching its peak. (Note that this value is rounded to the third digit.) The last step of the problem-solving strategy involves checking the answer to assure that it is both reasonable and accurate. The value seems reasonable enough. The vase is thrown with a speed of approximately 50 mi/hr (merely approximate 1 m/s to be equivalent to 2 mi/hr). Such a throw will never make it further than one football field in height (approximately 100 m), yet will surely make it past the 10-yard line (approximately 10 meters). The calculated answer certainly falls within this range of reasonability. Checking for accuracy involves substituting the calculated value back into the equation for displacement and insuring that the left side of the equation is equal to the right side of the equation. Indeed, it is! Kinematic equations provide a useful means of determining the value of an unknown motion parameter if three motion parameters are known. In the case of a free-fall motion, the acceleration is often known. And in many cases, another motion parameter can be inferred through a solid knowledge of some basic kinematic principles.
Align Panel: This panel allows you to align one or more objects the the artboard or other objects. Alignment: Formatting the appearance of text with the margins of the text box. Anchor Point Tool: Allows you to add or remove handles to create a curve on an anchor point. Anchor Points: A point on a path indicates a change of direction. Appearance Panel: This panel shows you the fill, strokes, graphic styles, and effects that have been applied to an object, group or layer and are able to modify theses from this panel directly. Area Type Tool: This occurs when using the type tool and you click and drag a text box, the text will automatically wrap inside the box. Blend Tool: This tool allows you to combine shapes/colors between two or more objects to create a new object between the original, blending the colors and shapes by inserting the middle steps to get from one object to the next. Blob Brush Tool: This tool is used to create free-form objects that can have a more hand-drawn feel. Brushes: Allows you to set the appearance/style of a path, can be applied to existing paths or used to create new paths. Clipping Masks: This command allows you to mask objects to a shape so that only areas that lie within the shape are visible, the mask and objects that are masked are called a clipping set. Closed Path: A path that has the same beginning and ending point. It forms a complete shape that can be filled with color or text. Create Outlines: This command converts text to closed paths and can be found in the Type Menu. Curvature Pen Tool: Allows you to simply create paths with curved anchor points. Curves: Can be applied to an anchor point using handles to create an arched line. Direct Select Tool: Allows you to select individual points of any path. Effects: These can be added to objects to create quick dynamic characteristics. Eraser Tool: This tool allows you to remove anchor points and cut through paths. Expand Objects: This allows you to divide a single object into multiple objects that make up its appearance. Eyedropper Tool: This tool allows you to sample the color or text from an existing part of the artwork. Global Swatches: This is a color swatches that will be automatically updated throughout your artwork when you change them, indicated with a white triangle in the corner of the swatch. Graphic Styles: A set of reusable appearance attributes that allow you to quickly change the look of an object. Grouping: This command allows you to link objects together so that they can be moved, scaled, rotator, or copy. Groups can be nested inside other groups. Hierarchy: To create visual order in design, controlling what the viewer looks at in order using size, color, contrast, etc… Image Trace: This command allows you to convert a raster image into a vector artwork. Isolation Mode: This mode allows you to adjust single objects/groups inside a group without ungrouping the group. Join Tool: This tool joins paths and anchor points together quickly. Kerning: This is the adjustment of the space between two individual letters. Knife Tool: This tool allows you to split an object into 2 pieces along a freehand path you draw. Leading: This is the adjustment of the space between lines of text. Live Corners: This widget appears when using the Direct Select tool and a corner is selected, when used this will create a rounded corner. Live Paint: This command allows you to quickly apply colors to objects in a complex design. Open Path: A path that does not end, not connected back to the original anchor point. Overflow Text: This occurs when the text box is too small to house all the text and is indicated by a small red plus sign in the bottom right corner of the text box. Paintbrush Tool: This tool is used to create free-form paths that can have a more hand-drawn feel. Paragraph Spacing: The space that occurs between lines of text. Pathfinder Panel: This panel allows you to create complex shapes by selecting 2 or more objects and using the buttons in the panel to cut, combine, or divide the objects. Paths: These are created when 2 or more points are connected, these are created using the pen tool. Pen Tool: It allows you to create and edit anchor points and paths. Pencil Tool: This tool is used to create free-form shapes or lines, the accuracy of the lines can be adjusted. Perspective Tool: This tool allows you to place elements on a perspective grid to adjust objects on a different perspective, automatically snapping to the perspective grid. Placeholder Text: Text that is placed in a text box that "holds a place" in a design to allow for creating a layout or adjust the text design. Point Type Tool: This occurs when when using the type tool and you click once, the text will continue without wrapping. Readability: The characteristics of fonts and styles that make test easy to identify and read. Scale, Shear, Distort Objects: This set of commands allows you to adjust the size and perspective of objects. Scissors Tool: This tool allows you to split a path into 2 pieces. Selection Tool: Allows you to select paths, objects or groups by click or dragging over them. Shape Builder Tool: This interactive tool allows you to create complex shapes by merging and erasing simpler objects. Shapes Tools: A group of tools to create basic shapes without using the pen tool (rectangle, ellipse, polygon, star, etc…). Smooth Tool: This tool will smooth a complex path and reduce the number of anchor points. Swatches: This is a saved color that can be applied in a design via the swatches panel and can be grouped, these can include gradients and patterns. Text Wrapping: This is when the text in a text box automatically wraps to the next line when it reaches the edge of the box. Threading Text: This is the ability to create 2 or more text boxes that are linked, when text is added/adjusted in one box, it will affect the other(s). Touch Type Tool: This tool allows you to adjust individual letter in a previously created text box. Tracking: This is the adjustment of the overall spacing between letters. Transform Objects: This allows you to change the size of objects. Type on a Path Tool: This tool allows you to add text along any previously created path. Type Tool: This tool allows you to create text in a design. View Modes: Ability to view projects and adjust the display on the screen. Modes include Outlines, Presentation, & Full Screen.
Allele variation of a specific gene Artificial Insemination (AI) collecting and preserving semen from sires and using artificial means to introduce it to the dam’s reproductive tract Body Cells make up the organs and tissue of an animal and have chromosomes in pairs, called diploids Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR) gene editing technology Codominance heterozygous individual expresses the phenotype of both alleles simultaneously Complete Dominance heterozygous gene pair is expressed the same as a homozygous dominant gene pair Crossbreeding sire from one breed and a dam from another, with each breed excelling in a certain characteristic to benefit the producer and the offspring Deoxyribonucleic Acid (DNA) stores genetic information and acts as a blueprint for all genetic material in the organism in two strands arranged in a double helix Dominant Alleles represent a dominant phenotype and are expressed as uppercase letters Embryo Transfer eggs are collected from a desirable female, fertilized and then implanted in several other females Expected Progeny Differences (EPDs) measure of the heritability of breeding values and traits Gametes fulfill the purpose of sexual reproduction, passing on half of the genetic code in the form of sperm and ovum and are also called haploids or sex cells Genotype organism's genetic composition, which determines its heredity potential and limitations Grading Up using a purebred sire to breed grade (unregistered or commercial) females Heritability degree to which offspring resemble their parent for a particular trait Heterosis (Hybrid Vigor) ability of crossbred animals to have the best traits from each parent Heterozygosity phenomenon of inheriting a different version of an allele from each biological parent Homozygosity phenomenon of inheriting the same version of an allele from each biological parent Inbreeding breeding of closely related animals with the goal of concentrating traits from a superior individual Incomplete Dominance dominant allele does not completely overcome the recessive Law of Dominance states genes will express themselves with the dominant gene appearing in the phenotype Law of Independent Assortment states unlinked or distantly linked gene pairs separate independently of other genes Law of Segregation states paired genes must segregate equally into gametes in a way so offspring have an equal likelihood of inheriting either factor Locus place on a chromosome where a gene is found Meiosis process of cellular reproduction of gametes and results in four genetically different daughter cells Mitosis process of cellular reproduction of body cells which creates two genetically identical daughter cells Outcrossing breeding highly unrelated individuals within a breed Phenotype all the observable characteristics of an organism resulting from the interaction of its genotype with its environment Polygenic Traits controlled by many gene pairs Punnett Square graphical representation of the possible genotypes of an offspring arising from a particular breeding, using letters to represent the genes Recessive Alleles non-dominant phenotypes which can still affect the appearance of an animal, but not as commonly, and are expressed as lowercase letters Ribonucleic Acid (RNA) replicates genetic information found in DNA to build proteins in processes known as transcription and translation Simply Inherited Traits typically controlled by one gene pair
Investing in a Market Economy
Introduction to Hedging Instruments: Forwards, Futures, Options, and Swaps Hedging instruments are financial tools used by businesses and investors to mitigate risk. These instruments help protect against adverse price movements in assets such as commodities, currencies, interest rates, or securities. The four main hedging instruments are forwards, futures, options, and swaps. 1. Forwards A forward contract is a customised agreement between two parties to buy or sell an asset at a predetermined price on a specified future date. Key Characteristics: Over-the-counter (OTC): Traded directly between parties, not on an exchange. Customisation: Can be tailored to suit the needs of the parties involved. Settlement: Occurs at the end of the contract, which may involve physical delivery or cash settlement. Risk: Forwards carry counter-party risk, as there is a possibility one party may default. Example: A company that needs to import raw materials in six months may enter into a forward contract to lock in the current price, avoiding the risk of price increases. 2. Futures A futures contract is similar to a forward, but it is standardised and traded on an exchange. This standardisation eliminates counter-party risk. Key Characteristics: Standardised: Contract size, expiration, and other terms are fixed by the exchange. Mark-to-market: Gains and losses are settled daily. Liquidity: Futures are highly liquid because they are traded on exchanges. Regulation: As they are traded on formal exchanges, they are more regulated than forwards. Example: A wheat farmer may sell futures contracts to hedge against a possible decline in wheat prices before harvest. 3. Options Options provide the right, but not the obligation, to buy or sell an asset at a specified price on or before a certain date. There are two types of options: call options and put options. Call Option: Gives the holder the right to buy an asset at a predetermined price. Put Option: Gives the holder the right to sell an asset at a predetermined price. Key Characteristics: Premium: The buyer pays a premium upfront to obtain the option. Limited Risk: The maximum loss is limited to the premium paid. Flexibility: Options can be used for speculative or hedging purposes. Example: An investor holding stocks may buy a put option to protect against potential declines in the stock's price. 4. Swaps A swap is a contract in which two parties agree to exchange cash flows or liabilities over a specific period. The most common types are interest rate swaps and currency swaps. Key Characteristics: Customizable: Like forwards, swaps are often tailored to meet the needs of the parties involved. Counterparty Risk: Swaps are typically OTC instruments, exposing parties to default risk. Common Uses: Used to manage interest rate risk or currency risk. Example: A company with a variablerate loan may enter into an interest rate swap to exchange its variable payments for fixedrate payments, thus locking in stable costs. Hedging instruments are essential for managing financial risk in volatile markets. Each instrument serves different purposes, with varying levels of complexity, risk, and customization. Whether through forwards, futures, options, or swaps, businesses can better plan for the future by reducing exposure to uncertain price fluctuations. Hedging Strategies for Market Risk, Credit Risk, and Currency Risk 1. Hedging Strategies for Market Risk Market risk (also known as systematic risk) arises from fluctuations in asset prices, such as stocks, bonds, commodities, and interest rates, due to economic factors or market volatility. Key Hedging Instruments for Market Risk: Derivatives (Options, Futures, and Forwards): These instruments allow investors to hedge against unfavorable price movements in stocks, commodities, or interest rates. Example: An investor holding a large stock portfolio might buy a put option to protect against a potential market downturn. If the market declines, the put option increases in value, offsetting losses in the portfolio. Short Selling: Investors can sell borrowed assets with the expectation of buying them back at a lower price, profiting from the decline. Example: A fund manager expecting a market decline may short sell stocks to hedge a portfolio against losses. Common Hedging Strategies: Portfolio Diversification: Reducing market risk by spreading investments across various asset classes (stocks, bonds, commodities) and sectors. Using Index Futures: Large portfolios can be hedged using index futures that track the performance of the overall market. If the market declines, profits from the short position in the futures contract will offset losses in the portfolio. Risk Parity: Allocating assets based on the level of risk rather than the dollar amount invested, balancing risk exposure across asset classes. 2. Hedging Strategies for Credit Risk Credit risk refers to the possibility that a borrower will default on a debt obligation. This is especially important for banks, lenders, and institutions dealing with bonds and loans. Key Hedging Instruments for Credit Risk: Credit Default Swaps (CDS): A financial derivative where the buyer of a CDS pays a premium to the seller in exchange for protection against a default on a loan or bond. Example: A bank holding corporate bonds can buy a CDS to ensure they are compensated if the issuing company defaults. Collateralised Debt Obligations (CDOs): These instruments pool together various debt instruments and allow risk to be distributed among multiple investors. Credit Insurance: Companies may use insurance to protect against the risk of a customer defaulting on payments. Common Hedging Strategies: Diversification of Loan Portfolio: Spreading out credit exposures across various industries, geographies, and borrower profiles reduces the overall risk of default. Tightening Lending Standards: Limiting exposure to highrisk borrowers by implementing stringent credit assessments. AssetBacked Securities: Banks can sell loans or bonds packaged as assetbacked securities to reduce their exposure to credit risk. 3. Hedging Strategies for Currency Risk Currency risk (or exchange rate risk) arises from fluctuations in foreign exchange rates, which can affect companies involved in international trade or with investments in foreign countries. Key Hedging Instruments for Currency Risk: Forward Contracts: A firm agrees to exchange a specified amount of currency at a predetermined exchange rate on a future date. Example: A U.S. exporter expecting payment in euros might enter into a forward contract to sell euros and lock in a favorable exchange rate. Currency Options: These give the right, but not the obligation, to buy or sell currency at a specific price. Example: A U.S.based company buying goods from Japan might buy a call option on the yen to hedge against the risk of yen appreciation. Currency Swaps: Two parties exchange interest payments and principal in different currencies to hedge against exchange rate fluctuations. Common Hedging Strategies: Natural Hedging: Companies can offset currency risk by balancing foreign revenue with costs in the same currency. For example, if a company generates revenue in euros, it can also incur expenses in euros, reducing exposure to exchange rate fluctuations. Multi-Currency Invoicing: Firms can invoice in their home currency, shifting the currency risk to the buyer. Currency Diversification: Holding a diversified basket of currencies can reduce exposure to large fluctuations in any one currency. Effective hedging strategies are crucial for managing various types of risks in financial markets. Market risk can be managed using instruments like futures and options, while credit risk can be mitigated through diversification and credit derivatives. Currency risk, often faced by multinational firms, can be hedged using forward contracts, options, or swaps. Each strategy helps firms and investors protect their portfolios, ensure financial stability, and reduce the impact of adverse movements in the financial markets. Portfolio Risk Management Techniques: Diversification, Asset Allocation, and Risk Budgeting Managing risk is a fundamental aspect of portfolio management. Investors use various techniques to control and reduce the risks inherent in investing. Three key techniques used in portfolio risk management are diversification, asset allocation, and risk budgeting. Each of these techniques helps in mitigating potential losses while aiming to achieve the desired return. 1. Diversification Diversification is a risk management strategy that involves spreading investments across different assets, sectors, or geographic regions to reduce exposure to any single risk. The idea is that different assets perform differently under various market conditions, so losses in one investment can be offset by gains in others. Key Benefits of Diversification: Reduction of Unsystematic Risk: Unsystematic risk, which is unique to a specific company or industry, can be reduced by holding a variety of investments that respond differently to market conditions. Improved Stability: A diversified portfolio is less volatile, as the negative performance of one asset can be balanced by the positive performance of others. Methods of Diversification: Across Asset Classes: Investing in a mix of asset classes such as stocks, bonds, commodities, and real estate. Example: A portfolio with 60% equities, 30% bonds, and 10% commodities is more diversified than one solely consisting of stocks. Within Asset Classes: Diversifying within a single asset class (e.g., holding stocks from different sectors like technology, healthcare, and energy). Geographic Diversification: Investing in assets across various countries or regions to mitigate country-specific risks. Example: Holding U.S. stocks along with emerging market equities can reduce risks related to a downturn in one country's economy. 2. Asset Allocation Asset allocation refers to the process of dividing investments among different asset classes (such as stocks, bonds, and cash) to align with an investor's risk tolerance, time horizon, and financial goals. Asset allocation plays a crucial role in portfolio risk management by determining the overall risk-return profile of the portfolio. Key Elements of Asset Allocation: Strategic Asset Allocation: A longterm approach that involves setting target allocations for different asset classes based on financial goals and risk tolerance. Example: A young investor with a longterm horizon might allocate 70% to stocks, 20% to bonds, and 10% to cash. Tactical Asset Allocation: A more active approach that involves adjusting the asset mix in response to short-term market conditions. Example: If the investor expects an economic downturn, they might temporarily reduce exposure to equities and increase exposure to bonds. Types of Asset Allocation Models: Conservative: Focuses on preserving capital with a larger allocation to bonds and cash (e.g., 20% stocks, 80% bonds). Balanced: A moderate risk approach with an equal focus on growth and income (e.g., 50% stocks, 50% bonds). Aggressive: Targets higher returns by investing predominantly in equities, accepting higher risk (e.g., 80% stocks, 20% bonds). Example of Asset Allocation: A 40 year old investor with moderate risk tolerance may allocate their portfolio as follows: 50% equities, 40% bonds, and 10% in alternative investments such as real estate or commodities. The equities provide growth potential, while the bonds and alternative assets offer stability and income. 3. Risk Budgeting Risk budgeting is a method of allocating risk across different components of a portfolio, rather than focusing solely on returns. The goal is to optimise the portfolio’s risk-return profile by distributing risk in a way that aligns with the investor’s objectives and risk tolerance. Key Concepts of Risk Budgeting: Risk Contribution: Each asset class or investment in the portfolio contributes a certain amount of risk (measured by metrics such as volatility or Value at Risk). Risk budgeting ensures that no single asset class dominates the overall risk of the portfolio. Example: A portfolio may contain 60% stocks and 40% bonds, but if the stocks are highly volatile, they may contribute 90% of the portfolio's risk. Target Risk: Investors set a maximum acceptable level of risk (e.g., a portfolio volatility of 10%) and allocate investments so that the total risk remains within this target. Techniques in Risk Budgeting: Risk Parity: Allocates risk evenly across asset classes, rather than allocating capital based solely on return expectations. Example: In a risk-parity portfolio, both bonds and stocks might be balanced in such a way that they contribute equally to the overall portfolio risk, even though the dollar investment in bonds may be larger due to their lower volatility. Value at Risk (VaR): This technique measures the potential loss in a portfolio over a specific time period, under normal market conditions, at a given confidence level. The risk budget ensures that the potential loss stays within acceptable limits. Example of Risk Budgeting: An investor targets an overall portfolio risk of 8% volatility. After analyzing the risk contribution of each asset class, they determine that equities, which currently make up 60% of the portfolio, contribute 70% of the risk. To adhere to the risk budget, the investor may reduce their equity exposure and increase their allocation to bonds or other less volatile assets. Diversification, asset allocation, and risk budgeting are complementary techniques used in portfolio risk management. Diversification reduces unsystematic risk by spreading investments across various assets. Asset allocation ensures that investments align with an investor's goals and risk tolerance. Risk budgeting focuses on managing the contribution of risk from each asset class to create a balanced and efficient portfolio. Together, these strategies help investors achieve a balance between risk and return, ensuring longterm portfolio stability. Risk Mitigation Through Insurance, Securitisation, and Other Financial Engineering Techniques Risk mitigation is a core objective in financial management, and various strategies can be employed to reduce or manage risks. Three major approaches are insurance, securitisation, and financial engineering techniques. Each of these methods helps firms and individuals transfer, reduce, or eliminate certain financial risks. 1. Insurance as a Risk Mitigation Tool Insurance is a traditional risk transfer method that protects against financial losses by shifting the risk to an insurance company in exchange for premium payments. It is widely used to mitigate various forms of risk, such as operational, liability, and property risks. Key Aspects of Insurance for Risk Mitigation: Risk Transfer: The insurer takes on the risk in exchange for a premium, thus protecting the insured party from unexpected financial losses. Indemnity: In the event of a loss, the insurance policy compensates the insured based on the terms of the contract. Customisable Coverage: Insurance policies can be tailored to address specific risks, such as property damage, business interruption, liability, or cyber risks. Types of Insurance for Businesses: Property and Casualty Insurance: Covers physical assets like buildings, machinery, and inventory from risks like fire, theft, or natural disasters. Liability Insurance: Protects businesses against legal liabilities arising from accidents, negligence, or professional errors. Business Interruption Insurance: Compensates for lost income if a business has to halt operations due to unforeseen events. Credit Insurance: Shields companies from losses due to the nonpayment of trade receivables. 2. Securitisation as a Risk Mitigation Technique Securitisation is a financial engineering process that involves pooling various financial assets (such as loans, mortgages, or receivables) and converting them into marketable securities. This process allows firms to transfer risk to investors, thereby reducing their exposure. Key Elements of Securitisation: Risk Transfer: By securitising assets, companies can transfer the risk of default or nonpayment to investors who purchase the securities. Liquidity Creation: Securitisation converts illiquid assets (like mortgages or loans) into liquid, tradeable securities, improving cash flow for the originating firm. Diversification of Risk: Pooling assets with different risk profiles reduces the impact of individual defaults, spreading the risk across multiple investors. Common Forms of Securitisation: MortgageBacked Securities (MBS): Pools of mortgages are bundled and sold as securities to investors, transferring the risk of mortgage defaults. Example: A bank that issues home loans can bundle those loans into MBS and sell them to investors, transferring the credit risk of potential defaults. Asset-Backed Securities (ABS): Similar to MBS, but backed by other types of assets like credit card receivables, auto loans, or student loans. Collateralised Debt Obligations (CDOs): Structured financial products that pool different types of debt, such as loans and bonds, and sell them as securities with varying risk levels. Example: A bank may issue a portfolio of auto loans and then pool these loans into an assetbacked security (ABS). The ABS is sold to investors, who take on the risk of loan defaults. By securitising the loans, the bank reduces its exposure to credit risk and generates immediate cash flow. 3. Financial Engineering Techniques for Risk Mitigation Financial engineering involves the use of complex financial instruments, derivatives, and structured products to manage or mitigate financial risks. These techniques allow firms to hedge against specific risks, optimize capital structure, and improve financial stability. Common Financial Engineering Techniques: Derivatives: Financial instruments like futures, forwards, options, and swaps are used to hedge against price fluctuations, interest rate changes, or currency movements. Example: A company with significant foreign exchange exposure may use currency forwards or options to hedge against exchange rate fluctuations, ensuring predictable cash flows. Options and Futures: Options: Provides the right (but not the obligation) to buy or sell an asset at a predetermined price, allowing firms to hedge against unfavorable price movements. Example: An airline company can buy options on jet fuel to hedge against rising fuel prices. Futures: Standardized contracts to buy or sell an asset at a set price on a future date, commonly used to hedge commodities or financial assets. Example: A wheat producer may use futures contracts to lock in a favorable price for its crop, hedging against a potential price drop. Swaps: These involve the exchange of cash flows between two parties, often used to manage interest rate risk or currency risk. Interest Rate Swaps: Firms can exchange floatingrate interest payments for fixedrate payments to hedge against rising interest rates. Currency Swaps: Used to hedge exchange rate risk in crossborder transactions by exchanging principal and interest payments in different currencies. Example: A company with a variablerate loan may enter into an interest rate swap to exchange its variable payments for fixedrate payments, locking in stable costs. Structured Products: These are customised financial instruments designed to achieve specific riskreturn objectives. They often combine derivatives with other securities to create tailored risk exposures. Example: A structured note that combines a bond with an embedded option, offering downside protection while allowing for potential upside linked to the performance of an equity index. Credit Derivatives: Tools like credit default swaps (CDS) allow investors to transfer credit risk to other parties. Example: A bondholder worried about a company’s potential default may purchase a CDS, which pays out in case of a default event. Example: A company may issue a bond with an embedded call option, allowing it to repurchase the bond if interest rates decline. This financial engineering tool enables the company to mitigate the risk of rising interest rates, reducing future borrowing costs. Risk mitigation through insurance, securitisation, and financial engineering offers businesses a variety of tools to manage and transfer risks. Insurance allows for the direct transfer of risk to an insurer, while securitisation helps companies offload risk by packaging and selling assets as securities. Financial engineering techniques, including derivatives, swaps, and structured products, provide sophisticated ways to hedge market, interest rate, and currency risks. Each approach helps organizations improve financial stability, enhance liquidity, and manage potential losses in a volatile market environment.
Https://www.pbs.org/video/inventing-america-making-a-government-28apqv/
Understanding the Features of Finance: A Guide for Newbies Finance is a broad field that involves managing money, including activities such as investing, borrowing, lending, budgeting, saving, and forecasting. As a beginner, understanding the basic features of finance is crucial. This guide will relate these features to blockchain technology, cryptocurrency, and decentralized finance (DeFi). 1. Basic Financial Concepts Investing: Putting money into assets like stocks, bonds, or real estate with the expectation of earning a return. In the blockchain world, this translates to investing in cryptocurrencies like Bitcoin, Ethereum, or various DeFi projects. Borrowing and Lending: Traditional finance involves banks and financial institutions providing loans. In the DeFi space, platforms like Aave and Compound allow users to borrow and lend cryptocurrencies without intermediaries. Budgeting: Planning how to allocate your income to cover expenses, save, and invest. Using blockchain technology, you can utilize smart contracts to automate budgeting and savings processes. 2. Blockchain Technology Blockchain is a decentralized ledger that records transactions across multiple computers. It is the technology behind cryptocurrencies and has several key features: Transparency: All transactions are recorded on a public ledger, making them visible to anyone. Security: Cryptographic techniques ensure that data on the blockchain is secure and tamper-proof. Decentralization: No single entity controls the blockchain, reducing the risk of centralized control and failure. 3. Cryptocurrencies Cryptocurrencies are digital or virtual currencies that use cryptography for security. They operate on blockchain technology and offer several advantages: Lower Transaction Costs: Sending money across borders is cheaper with cryptocurrencies compared to traditional banking methods. Accessibility: Anyone with an internet connection can access cryptocurrencies, promoting financial inclusion. Ownership and Control: Users have complete control over their funds without relying on banks. 4. Decentralized Finance (DeFi) DeFi is a movement that uses blockchain technology to recreate and improve traditional financial systems in a decentralized manner. Key features of DeFi include: Smart Contracts: Self-executing contracts with the terms directly written into code, enabling trustless and automated transactions. Liquidity Pools: Users can provide their assets to a pool and earn interest or rewards, promoting liquidity in the DeFi ecosystem. Yield Farming: A strategy where users move their assets between different DeFi platforms to maximize returns. 5. Applications in DeFi and Blockchain HaloFi Save: A platform that leverages blockchain technology to help people save money efficiently and securely. It encourages users to save larger amounts for longer durations, offering higher interest rates compared to traditional banks. Non-Custodial Savings: Users have full control over their funds, reducing the risk of losing their money to institutional failures or fraud. Access to DeFi: Integrating with DeFi platforms like Moola Market, HaloFi Save provides additional opportunities to earn interest on savings, promoting financial growth and stability. Practical Example: A Farmer's Journey Imagine a farmer in a remote village in Africa. Traditionally, this farmer might not have access to banking services, making it difficult to save money, get loans, or invest in better farming equipment. With platforms like HaloFi Save, the farmer can: Save money securely and earn interest. Access microloans through DeFi platforms integrated with Celo. Participate in educational programs to learn more about blockchain and DeFi. Conclusion Blockchain technology, through platforms like HaloFi Save and initiatives by Celo Africa DAO, has the potential to drive significant social change by promoting financial inclusion, transparency, and access to resources. By empowering individuals and communities with the tools and knowledge to participate in the digital economy, blockchain can help address global issues and foster sustainable development.
Make a test, with answers best on the following: Conduct an investigation to provide evidence that living things are made of cells; either one cell or many different numbers and types of cells. Supporting Content LS1.A: Structure and Function • All living things are made up of cells, which is the smallest unit that can be said to be alive. An organism may consist of one single cell (unicellular) or many different numbers and types of cells (multicellular). (MS-LS-1.1) Further Explanation: Emphasis is on developing evidence that living things are made of cells, distinguishing between living and non-living things, and understanding that living things may be made of one cell or many and varied cells. In multicellular organisms, the body is a system of multiple interacting subsystems. These subsystems are groups of cells that work together to form tissues and organs that are specialized for particular body functions. (MS-LS-1.3) Further Explanation: Emphasis is on the conceptual understanding that cells form tissues and tissues form organs specialized for particular body functions. Examples could include the interaction of subsystems within a system and the normal functioning of those systems. Organisms reproduce, either sexually or asexually, and transfer their genetic information to their offspring. (MS-LS-1.4) • Living things share certain characteristics. (These include response to environment, reproduction, energy use, growth and development, life cycles, made of cells, etc.) (MS-LS1.4) Further Explanation: Examples should include both biotic and abiotic items, and should be defended using accepted characteristics of life. Plants, algae (including phytoplankton), and many microorganisms use the energy from light to make sugars (food) from carbon dioxide from the atmosphere and water through the process of photosynthesis, which also releases oxygen. These sugars can be used immediately or stored for growth or later use. (MS-LS-1.5) Further Explanation: Emphasis is on tracing movement of matter and flow of energy. Supporting Content LS1.C: Organization for Matter and Energy Flow in Organisms • Within individual organisms, food moves through a series of chemical reactions (cellular respiration) in which it is broken down and rearranged to form new molecules, to support growth, or to release energy. (MS-LS-1.6) Further Explanation: Emphasis is on describing that molecules are broken apart and put back together and that in this process, energy is released and on understanding that the elements in the products are the same as the elements in the reactants. Organisms, and populations of organisms, are dependent on their environmental interactions both with other living things and with nonliving factors. (MS-LS-2.1) • In any ecosystem, organisms and populations with similar requirements for food, water, oxygen, or other resources may compete with each other for limited resources, access to which consequently constrains their growth and reproduction. (MS-LS-2.1) • Growth of organisms and population increases are limited by access to resources. (MS-LS-2.1) Further Explanation: Emphasis is on cause and effect relationships between resources and growth of individual organisms and the numbers of organisms in ecosystems during periods of abundant and scarce resources. Similarly, predatory interactions may reduce the number of organisms or eliminate whole populations of organisms. Mutually beneficial interactions, in contrast, may become so interdependent that each organism requires the other for survival. Although the species involved in these competitive, predatory, and mutually beneficial interactions vary across ecosystems, the patterns of interactions of organisms with their environments, both living and nonliving, are shared. (MS-LS-2.2) Further Explanation: Emphasis is on predicting consistent patterns of interactions in different ecosystems in terms of the relationships among and between organisms and abiotic components of ecosystems. Examples of types of interactions could include competitive, predatory, and mutually beneficial. Food webs are models that demonstrate how matter and energy is transferred between producers, consumers, and decomposers as the three groups interact within an ecosystem. Transfers of matter into and out of the physical environment occur at every level. Decomposers recycle nutrients from dead plant or animal matter back to the soil in terrestrial environments or to the water in aquatic environments. The atoms that make up the organisms in an ecosystem are cycled repeatedly between the living and nonliving parts of the ecosystem. (MS-LS-2.3) Further Explanation: Emphasis is on describing the conservation of matter and flow of energy into and out of various ecosystems, and on defining the boundaries of the system. Ecosystems are dynamic in nature; their characteristics can vary over time. Disruptions to any physical or biological component of an ecosystem can lead to shifts in all its populations. (MSLS-2.5) Further Explanation: Emphasis is on recognizing patterns in data and making warranted inferences about changes in populations, and on evaluating empirical evidence supporting arguments about changes to ecosystems. Biodiversity describes the variety of species found in Earth’s terrestrial and oceanic ecosystems. The completeness or integrity of an ecosystem’s biodiversity is often used as a measure of its health. (MS-LS-2.6) Supporting Content LS4.D: Biodiversity • Changes in biodiversity can influence humans’ resources, such as food, energy, and medicines, as well as ecosystem services that humans rely on—for example, water purification and recycling. (MS-LS-2.6) Supporting Content ETS1.B: Developing Possible Solutions • There are systematic processes for evaluating solutions with respect to how well they meet the criteria and constraints of a problem. (MS-LS-2.6) Further Explanation: Examples of ecosystem services could include water purification, nutrient recycling, and prevention of soil erosion. Examples of design solution constraints could include scientific, economic, and social considerations. Genes are located in the chromosomes of cells, with each chromosome pair containing two variants of each of many distinct genes. Each distinct gene chiefly controls the production of specific proteins, which in turn affects the traits of the individual. Structural changes to genes (mutations) can result in changes to proteins, which can affect the structures and functions of the organism and thereby change traits. (MS-LS-3.1) Supporting Content LS3.B: Variation of Traits • In addition to variations that arise from sexual reproduction, genetic information can be altered because of mutations. Though rare, mutations may result in significant changes to the structure and function of proteins. Changes can be beneficial, harmful, or neutral to the organism. (MS-LS-3.1) Further Explanation: Emphasis is on conceptual understanding that changes in genetic material may result in making different proteins. Organisms reproduce, either sexually or asexually, and transfer their genetic information to their offspring. (MS-LS-3.2) Supporting Content LS3.A: Inheritance of Traits • Variations of inherited traits between parent and offspring arise from genetic differences that result from the subset of chromosomes (and therefore genes) inherited. (MS-LS-3.2) Supporting Content LS3.B: Variation of Traits • In sexually reproducing organisms, each parent contributes half of the genes acquired (at random) by the offspring. Individuals have two of each chromosome and hence two alleles of each gene, one acquired from each parent. These versions may be identical or may differ from each other. (MS-LS-3.2) Further Explanation: Emphasis is on using models such as simple Punnett squares and pedigrees, diagrams, and simulations to describe the cause and effect relationship of gene transmission from parent(s) to offspring and resulting genetic variation. The collection of fossils and their placement in chronological order is known as the fossil record and documents the change of many life forms throughout the history of the Earth. Anatomical similarities and differences between various organisms living today and between living and once living organisms in the fossil record enable the classification of living things. (MS-LS-4.1, MS-LS-4.2) Further Explanation: Emphasis is on finding patterns of changes in the level of complexity of anatomical structures in organisms and the chronological order of fossil appearance in the rock layers. The collection of fossils and their placement in chronological order is known as the fossil record and documents the change of many life forms throughout the history of the Earth. Anatomical similarities and differences between various organisms living today and between living and once living organisms in the fossil record enable the classification of living things. (MS-LS-4.1, MS-LS-4.2) Further Explanation: Emphasis is on explanations of the relationships among organisms in terms of similarity or differences of the gross appearance of anatomical structures. Scientific genus and species level names indicate a degree of relationship. (MS-LS-4.3) Further Explanation: Emphasis is on inferring general patterns of relatedness among structures of different organisms by comparing diagrams, pictures, specimens, or fossils. Natural selection leads to the predominance of certain traits in a population, and the suppression of others. (MS-LS-4.4) Further Explanation: Emphasis is on using concepts of natural selection, including overproduction of offspring, passage of time, variation in a population, selection of favorable traits, and heritability of traits. In artificial selection, humans have the capacity to influence certain characteristics of organisms by selective breeding. One can choose desired parental traits determined by genes, which are then passed to offspring. (MS-LS-4.5) Further Explanation: Emphasis is on identifying and communicating information from reliable sources about the influence of humans on genetic outcomes in artificial selection (such as genetic modification, animal husbandry, gene therapy), and on the influence these technologies have on society as well as the technologies leading to these scientific discoveries. Adaptation by natural selection acting over generations is one important process by which species change over time in response to changes in environmental conditions. Traits that support successful survival and reproduction in the new environment become more common; those that do not become less common. Thus, the distribution of traits in a population changes. (MS-LS-4.6) Further Explanation: Emphasis is on using mathematical models, probability statements, and proportional reasoning to support explanations of trends in changes to populations over time. Examples could include Peppered Moth population changes before and after the industrial revolution.