Grade 7 Math Practice

Students identify proportional relationships, find unit rates and constants of proportionality, and represent them with tables, graphs, and equations.

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Students interpret proportional graphs, identify unit rate points, and write related equations y = px.

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Students solve percent increase, decrease, tax, tip, markup, and commission problems in context.

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Students interpret scales, convert between drawing and actual measurements, and solve scale drawing problems.

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Students add, subtract, multiply, and divide integers, fractions, and decimals with correct sign rules.

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Students convert rational numbers among fraction, decimal, and percent forms and interpret repeating decimals.

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Students simplify linear expressions, apply the distributive property, and recognize equivalent forms.

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Students solve multi-step equations and inequalities and interpret solutions in context.

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Students model and solve multi-step problems across domains and justify their strategies.

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Students compute circumference and area of circles using π, with approximations and exact forms.

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Students work with complementary, supplementary, vertical, and transversal angle relationships.

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Students investigate when given side and angle conditions create zero, one, or many triangles.

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Students describe and predict 2D figures formed when planes slice common 3D solids.

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Students compute surface area and volume of prisms, cylinders, pyramids, and composite 3D figures.

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Students distinguish populations and samples, recognize bias, and make inferences from sample data.

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Students compare two populations using measures of center and variability and assess distributional overlap.

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Students compute theoretical and experimental probabilities and build simple probability models.

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Students use lists, tables, and tree diagrams to find probabilities of compound events.

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