Module 1: Rates and Ratios
Lesson 1 Understand Percents
Lesson 2 Percents Greater Than 100% and Less Than 1%
Lesson 3 Relate Fractions, Decimals, and Percents
Lesson 4 Find the Percent of a Number
Lesson 5 Estimate the Percent of a Number
Lesson 6 Find the Whole
Students will use their prior knowledge of fractions and fraction equivalence to develop understanding of ratios and rates. Ratio and proportional reasoning is a foundational topic for middle school mathematics, with applications in algebra, geometry, probability, statistics, and everyday life
Module 2: Fractions, Decimals, and Percent
Lesson 1 Understand Percents
Lesson 2 Percents Greater Than 100% and Less Than 1%
Lesson 3 Relate Fractions, Decimals, and Percents
Lesson 4 Find the Percent of a Number
Lesson 5 Estimate the Percent of a Number
Lesson 6 Find the Whole
Students will use their prior knowledge of fractions, decimals, ratios, and rates to develop understanding of percent and find the percent of a number. Having a solid understanding of percents will prepare students for their future as they calculate tips, understand taxes, and compare sale prices while shopping.
Module 3: Compute with Multi-Digit Numbers and Fractions
Lesson 1 Divide Multi-Digit Numbers
Lesson 2 Compute with Multi-Digit Decimals
Lesson 3 Divide Whole Numbers by Fractions
Lesson 4 Divide Fractions by Fractions
Lesson 5 Divide with Whole and Mixed Numbers
Students will build fluency with whole-number division and decimal operations. They will develop understanding of division of fractions. By building fluency with computation, they will be better prepared to study more advanced mathematical concepts in later courses, without being weighed down by the lack of these skills.
Module 4: Integers, Rational Numbers, and the Coordinate Plane
Lesson 1 Represent Integers
Lesson 2 Opposites and Absolute Value
Lesson 3 Compare and Order Integers
Lesson 4 Rational Numbers
Lesson 5 The Coordinate Plane
Lesson 6 Graph Reflections of Points
Lesson 7 Absolute Value and Distance
Students draw on their knowledge of whole numbers and number lines to develop understanding of integers, rational numbers, and the coordinate plane. Having a solid understanding of these concepts will prepare students for their future as they encounter integers and rational numbers in their everyday life and will be better prepared to study more advanced mathematical concepts in later courses.
Module 5: Numerical and Algebraic Expressions
Lesson 1 Powers and Exponents
Lesson 2 Numerical Expressions
Lesson 3 Write Algebraic Expressions
Lesson 4 Evaluate Algebraic Expressions
Lesson 5 Factors and Multiples
Lesson 6 Use the Distributive Property
Lesson 7 Equivalent Algebraic Expressions
Students will use their prior knowledge of the four basic operations to develop understanding of numerical and algebraic expressions. By having a solid understanding of numerical and algebraic expressions, students will be better prepared to study more advanced mathematical concepts in later courses, as well as being able to determine unknown quantities and totals in everyday life.
Module 6: Equations and Inequalities
Lesson 1 Use Substitution to Solve One-Step Equations
Lesson 2 One-Step Addition Equations
Lesson 3 One-Step Subtraction Equations
Lesson 4 One-Step Multiplication Equations
Lesson 5 One-Step Division Equations
Lesson 6 Inequalities
Students draw on their knowledge of expressions, inequality symbols, and inverse operations to develop understanding of equations and inequalities. They use their understanding of models, properties of equality, and substitution to build fluency with writing and solving one-step addition, subtraction, multiplication, and division equations. Fluency is also built through writing, solving, and graphing inequalities.
Module 7: Relationships Between Two Variables
Lesson 1 Relationships Between Two Variables
Lesson 2 Write Equations to Represent Relationships Represented in Tables
Lesson 3 Graphs of Relationships
Lesson 4 Multiple Representations
Students draw on their knowledge of tables, equations, and the coordinate plane to develop understanding of relationships between two variables. Having a solid understanding of these concepts will prepare students for their future as they encounter situations in their everyday life where a relationship exists between two variables, and they will be better prepared to study more advanced mathematical concepts in later courses.
Module 8: Area
Lesson 1 Area of Parallelograms
Lesson 2 Area of Triangles
Lesson 3 Area of Trapezoids
Lesson 4 Area of Regular Polygons
Lesson 5 Polygons on the Coordinate Plane
Students will use their prior knowledge of polygons, basic computation, and the coordinate plane to develop understanding of area. Having a solid understanding of area will prepare students for their future as they calculate area for landscaping or home improvement projects.
Module 9: Volume and Surface Area
Lesson 1 Volume of Rectangular Prisms
Lesson 2 Surface Area of Rectangular Prisms
Lesson 3 Surface Area of Triangular Prisms
Lesson 4 Surface Area of Pyramids
Students will use their prior knowledge of polygons and area to develop understanding of volume and surface area. Having a solid understanding of volume and surface area will prepare students for their future as they encounter commercial packaging and home improvement projects.
Module 10: Statistical Measures and Displays
Lesson 1 Statistical Questions
Lesson 2 Dot Plots and Histograms
Lesson 3 Measures of Center
Lesson 4 Interquartile Range and Box Plots
Lesson 5 Mean Absolute Deviation
Lesson 6 Outliers
Lesson 7 Interpret Graphical Displays
Students will use their prior knowledge of representing and interpreting data to develop understanding of statistical measures. By having a solid understanding of statistical measures and displays, students will be better prepared to study more advanced mathematical concepts in later courses, as well as being able to analyze data presented in their occupation and in everyday life.