extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers
find the probabilities of a simple event and its complement and describe the relationship between the two
solve problems using qualitative and quantitative predictions and comparisons from simple experiments
determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces
apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers
represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt
determine the constant of proportionality (k = y/x) within mathematical and real-world problems
solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems
represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b
represent solutions for one-variable, two-step equations and inequalities on number lines
model and solve one-variable, two-step equations and inequalities
determine if the given value(s) make(s) one-variable, two-step equations and inequalities true
convert between measurement systems, including the use of proportions and the use of unit rates
describe π as the ratio of the circumference of a circle to its diameter
solve mathematical and real-world problems involving similar shape and scale drawings
solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids
determine the circumference and area of circles
determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles
solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net
write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships
solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents
compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads
calculate the sales tax for a given purchase and calculate income tax for earned wages
identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget
create and organize a financial assets and liabilities record and construct a net worth statement
use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or another large city nearby
calculate and compare simple interest and compound interest earnings
analyze and compare monetary incentives, including sales, rebates, and coupons
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