Lesson 1: Inputs and Outputs Lesson 2: Introduction to Functions
8.F.A.1 Understand that a function is a rule that assigns to each input exactly one output.
Lesson 3: Equations for Functions Lesson 9: Linear Models
8.F.A Define, evaluate, and compare functions.
8.F.B.4 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Lesson 4: Tables, Equations, and Graphs of Functions
8.F.A.3 Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
Lesson 5: More Graphs of Functions Lesson 6: Even More Graphs of Functions
8.F.B Use functions to model relationships between quantities.
8.F.B.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Lesson 7: Connecting Representations of Functions
8.F.A.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Lesson 11: Filling Containers Lesson 12: How Much Will Fit?
8.G.C Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Lesson 13: The Volume of a Cylinder Lesson 14: Finding Cylinder Dimensions Lesson 15: The Volume of a Cone Lesson 16: Finding Cone Dimensions Lesson 21: Cylinders, Cones, and Spheres
8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Lesson 1: Organizing Data Lesson 2: Plotting Data Lesson 7: Observing More Patterns in Scatter Plots
8.SP.A Investigate patterns of association in bivariate data.
8.SP.A.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Lesson 3: What a Point in a Scatter Plot Means
8.SP.A.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.
Lesson 4: Fitting a Line to Data Lesson 5: Describing Trends in Scatter Plots
8.SP.A.2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.
Lesson 9: Looking for Associations Lesson 10: Using Data Displays to Find Associations
8.SP.A.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables.