solve relevant, mathematical problems involving the four operations with rational numbers in any form (i.e., integers, percentages, fractions, and decimal numbers), including problems that involve multiple steps
B - Patterning & Algebraic Reasoning
use properties of operations to generate equivalent expressions and interpret the expressions to explain relevant situations
represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality
recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, verbal descriptions, and equations
design, collect, model, and analyze data from a representative sample to answer statistical questions and solve relevant, mathematical problems
C - Geometric & Spatial Reasoning
solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms composed of cubes and right prisms
D - Probability Reasoning
investigate chance processes and develop, evaluate, and use probability models to find probabilities of simple events presented in authentic situations
solve relevant, multi-step mathematical problems involving the four operations with rational numbers in any form (i.e., integers, percentages, fractions, and decimal numbers)
B - Patterning & Algebraic Reasoning
use properties of operations to generate equivalent expressions and interpret the expressions to explain relevant situations
create and interpret expressions within realistic situations; create, interpret, and solve linear equations and linear inequalities in one variable to model and explain real-life phenomena
recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, verbal descriptions, and equations
show and explain the connections between proportional and non-proportional relationships and linear equations; create and interpret graphical, mathematical models and use the graphical, mathematical model to explain real-life phenomena represented in the graph
design, collect, model, and analyze data from a representative sample to answer statistical questions and solve relevant, mathematical problems
C - Functional & Graphical Reasoning
describe the properties of functions to define, evaluate, and compare relationships; model and explain real-life phenomena using linear functions
use bivariate quantitative data to solve relevant, linear problems
D - Geometric & Spatial Reasoning
solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms composed of cubes and right prisms
solve problems involving the Pythagorean Theorem and the volume of cones, cylinders, and spheres to explain real-life phenomena
E - Probability Reasoning
investigate chance processes and develop, evaluate, and use probability models to find probabilities of simple events presented in authentic situations
solve relevant, mathematical problems involving the four operations with rational numbers in any form (i.e., integers, percentages, fractions, and decimal numbers), including problems that involve multiple steps
B - Patterning & Algebraic Reasoning
use properties of operations to generate equivalent expressions and interpret the expressions to explain relevant situations
represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality
recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, verbal descriptions, and equations
design, collect, model, and analyze data from a representative sample to answer statistical questions and solve relevant, mathematical problems
C - Geometric & Spatial Reasoning
solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms composed of cubes and right prisms
D - Probability Reasoning
investigate chance processes and develop, evaluate, and use probability models to find probabilities of simple events presented in authentic situations
