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Grade 7 Math

9 units · printable worksheets, answer guides & syllabus.

Course syllabus

The full unit-by-unit outline (unit goals, section goals, lesson list).

📄 Full Syllabus (PDF)

Units

Each unit has a student worksheet and a parent/teacher answer guide.

Unit 1 Scale Drawings

Students study scaled copies of plane figures and scale drawings of real-world objects, learning that lengths in a scaled copy are products of the original lengths and a scale factor while angles are preserved.

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Unit 2 Introducing Proportional Relationships

Students develop the idea of a proportional relationship, working with relationships represented in tables, as equations, and on graphs.

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Unit 3 Measuring Circles

Students apply their knowledge of proportional relationships to measuring circles, learning the relationships between radius, diameter, circumference, and area.

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Unit 4 Proportional Relationships and Percentages

Students deepen their understanding of proportional relationships and percentages, solving multi-step problems and working with situations that involve fractional amounts.

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Unit 5 Rational Number Arithmetic

Students perform operations on rational numbers, which are all numbers that can be written as a positive or negative fraction.

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Unit 6 Expressions, Equations, and Inequalities

Students deepen their algebraic reasoning as they write and solve equations and inequalities, and work with more complex equivalent expressions.

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Unit 7 Angles, Triangles, and Prisms

Students investigate angle relationships, conditions for unique triangles, and the area, surface area, and volume of prisms.

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Unit 8 Probability and Sampling

Students work with probability and sampling, designing simulations, representing sample spaces, and using samples to make inferences about populations.

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Unit 9 Putting It All Together

Students use concepts and skills from previous units to solve problems in the contexts of running a restaurant, making connections across topics, and designing a course.

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Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.