apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers
determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces
compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads
represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt
solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids
solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents
make predictions and determine solutions using experimental data for simple and compound events
convert between measurement systems, including the use of proportions and the use of unit rates
represent solutions for one-variable, two-step equations and inequalities on number lines
extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers
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
model and solve one-variable, two-step equations and inequalities
generalize the critical attributes of similarity, including ratios within and between similar shapes
determine the circumference and area of circles
solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems
solve problems using qualitative and quantitative predictions and comparisons from simple experiments
represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b
determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles
create and organize a financial assets and liabilities record and construct a net worth statement
solve mathematical and real-world problems involving similar shape and scale drawings
add, subtract, multiply, and divide rational numbers fluently
describe π as the ratio of the circumference of a circle to its diameter
analyze and compare monetary incentives, including sales, rebates, and coupons
determine the constant of proportionality (k = y/x) within mathematical and real-world problems
determine if the given value(s) make(s) one-variable, two-step equations and inequalities true
calculate unit rates from rates in mathematical and real-world problems
use data from a random sample to make inferences about a population
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