A - Numerical Reasoning

• 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

A - Numerical Reasoning

• 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

A - Numerical Reasoning

• 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