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STANDARDS

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US-OK

Math

Oklahoma Math

Seventh Grade (7): Algebraic Reasoning & Algebra (A)

7.A.1

Explain the concept of proportionality in mathematical models and situations and distinguish between proportional and non-proportional relationships.

7.A.1.1

Identify a relationship between two varying quantities, x and y, as proportional if it can be expressed in the form y/x = 𝑘 or y=kx; distinguish proportional relationships from non-proportional relationships.
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7.A.1.2

Recognize that the graph of a proportional relationship is a line through the origin and the coordinate (1, r), where r is the slope and the unit rate (constant of proportionality, k).

7.A.2

Identify and justify proportional relationships using mathematical models and situations; solve problems involving proportional relationships and interpret results in the original context.

7.A.2.1

Represent proportional relationships with tables, verbal descriptions, symbols, and graphs; translate from one representation to another. Determine and compare the unit rate (constant of proportionality, slope, or rate of change) given any of these representations.

7.A.2.2

Solve multi-step problems with proportional relationships (e.g., distance-time, percent increase or decrease, discounts, tips, unit pricing, mixtures and concentrations, similar figures, other mathematical situations).

7.A.2.3

Use proportional reasoning to solve problems involving ratios.

7.A.2.4

Use proportional reasoning to assess the reasonableness of solutions.
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7.A.3

Represent mathematical situations using equations and inequalities involving variables and rational numbers.

7.A.3.1

Write and solve problems leading to linear equations with one variable in the form px + q = r and p(x + q) = r, where p, q, and r are rational numbers.

7.A.3.2

Represent, write, solve, and graph problems leading to linear inequalities with one variable in the form 𝑥 + 𝑝 > 𝑞 and 𝑥 + 𝑝 < 𝑞, where 𝑝, and 𝑞 are nonnegative rational numbers.

7.A.4

Use order of operations and properties of operations to generate and evaluate equivalent numerical and algebraic expressions.

7.A.4.1

Use properties of operations (associative, commutative, and distributive) to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols and whole number exponents.

7.A.4.2

Evaluate numerical expressions using calculators and other technologies and justify solutions using order of operations and grouping symbols.