The units listed below are in the order that we learn them.
Unit 1: Area and Surface Area
Students learn to calculate areas of polygons by decomposing, rearranging, enclosing, and composing shapes. They also represent polyhedra with nets and calculate their surface areas
Sub-Unit 1: Area
Sub-Unit 2: Surface Area
Unit 2: Introducing Ratios
Students are introduced to the concept of ratios. They represent ratios using double number line diagrams, tables, and tape diagrams, and use ratio reasoning to solve problems.
Sub-Unit 1: Ratios
Sub-Unit 2: Common Multiples
Sub-Unit 3: Solving Problems with Ratios
Unit 3: Unit Rates and Percentages
Students apply ratio reasoning from Unit 2 to unit rates and recognize that equivalent ratios have the same unit rates. They use a variety of strategies and representations of percentages to determine missing percentages, parts, and wholes.
Sub-Unit 1: Units and Measurement
Sub-Unit 2: Unit Rates
Sub-Unit 3: Percentages
Unit 4: Dividing Fractions
Students extend what they learned about dividing whole numbers to divide fractions by fractions. They answer questions like “How many groups?” or “How many in 1 group?”. They use a variety of strategies, such as making tape diagrams, creating common denominators, and rewriting equivalent multiplication problems using the reciprocal.
Sub-Unit 1: Introduction to Dividing Fractions
Sub-Unit 2: Dividing Fractions
Sub-Unit 3: Area and Volume with Fractions
Unit 5: Decimal Arithmetic
Students develop and use a variety of strategies for adding, subtracting, multiplying, and dividing multi-digit decimals. They also explore strategies for dividing whole numbers that result in decimals, including the standard algorithm.
Sub-Unit 1: Adding and Subtracting Decimals
Sub-Unit 2: Multiplying Decimals
Sub-Unit 3: Division and Dividing Decimals
Sub-Unit 4: Solving Problems with Decimals
Unit 6: Expressions and Equations
Students reason about expressions and equations involving variables. They solve equations of the forms x + p = q and px = q, write equivalent expressions using variables, make sense of variable expressions involving exponents, and create representations for relationships between two variables.
Sub-Unit 1: Solving Equations
Sub-Unit 2: Equivalent Expressions
Sub-Unit 3: Expressions Involving Exponents
Sub-Unit 4: Introduction to Representing Relationships
Unit 7: Positive and Negative Numbers
Students explore positive and negative numbers in several contexts: on a number line, represented as inequalities, and on the coordinate plane.
Sub-Unit 1: Negative Numbers and Absolute Values
Sub-Unit 2: Inequalities
Sub-Unit 3: The Coordinate Plane
Unit 8: Describing Data
Students visualize data using dot plots, histograms, and box plots, as well as calculate measures of center and spread.
Sub-Unit 1: Visualizing Data
Sub-Unit 2: Measuring Data: Mean and MAD
Sub-Unit 3: Measuring Data: Median and IQR
