Our topics are displayed in sequential order. We will be using Amplify's Desmos program. For more information on the program and to see resources that may help you at home, please visit the following link.
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
