9 units ยท printable worksheets, answer guides & syllabus.
The full unit-by-unit outline (unit goals, section goals, lesson list).
Each unit has a student worksheet and a parent/teacher answer guide.
Students reason about areas of polygons and surface areas of polyhedra, building on geometric understandings developed in earlier grades.
Students develop an understanding of ratios, equivalent ratios, rates, unit rates, and percentages, and use representations such as discrete diagrams, double number lines, tables, and tape diagrams to solve problems.
Students develop understanding of division of fractions by fractions and operations on whole numbers and decimals, including addition, subtraction, multiplication, and division.
Students apply their understanding of arithmetic to reason about algebraic expressions and equations, including writing and solving equations, identifying equivalent expressions, and using exponents.
Students develop the idea of a proportional relationship and apply proportional reasoning to circumference and area of circles.
Students deepen their understanding of proportional relationships and percentages, solving multi-step problems and applying percent increase and decrease in real-world contexts.
Students learn about negative numbers and ways to represent them on a number line and the coordinate plane, and they perform the four operations on rational numbers.
Students explore key statistical concepts including dot plots, histograms, measures of center and variability, sampling, and probability.
In this optional unit, students use concepts and skills from previous units to solve problems involving Fermi problems, voting systems, and designing a course.
Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. ยฉ Illustrative Mathematics.