8th- Third 9 weeks 

This 9 weeks will cover slope and functions.  Then move on to volume of 3D shapes. 

Students will learn how to write, read and use an equation with two variables to solve problems.  They will understand the relationship between the algebraic equation and the physical line in space it represents. 

The 3D unit serves an introduction to working with formulas and the steps that students need to take in order to use a formula in my class. Students will also be introduced to cross sections. Students will  review attributes of 3D shapes, Cross Sections, and Volume. This unit will also introduce the idea of surface area of a sphere, and percent volume. 

MA.8.AF.3

Understand that a function assigns to each x-value (independent variable) exactly one y-value (dependent variable), and that the graph of a function is the set of ordered pairs (x,y).

MA.8.AF.4

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described.

MA.8.AF.5

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. Describe similarities and differences between linear and nonlinear functions from tables, graphs, verbal descriptions, and equations.

MA.8.AF.6 

Construct a function to model a linear relationship between two quantities given a verbal description, table of values, or graph. Recognize in y = mx + b that m is the slope (rate of change) and b is the y-intercept of the graph, and describe the meaning of each in the context of a problem. 

MA.8.AF.7

Compare properties of two linear functions given in different forms, such as a table of values, equation, verbal description, and graph (e.g., compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed).

 MA.8.AF.8

Understand that solutions to a system of two linear equations correspond to points of intersection of their graphs because points of intersection satisfy both equations simultaneously. Approximate the solution of a system of equations by graphing and interpreting the reasonableness of the approximation.

MA.8.GM.1

Identify, define and describe attributes of three-dimensional geometric objects (right rectangular prisms, cylinders, cones, spheres, and pyramids). Explore the effects of slicing these objects using appropriate technology and describe the two-dimensional figure that results.

 MA.8.GM.2

Solve real-world and other mathematical problems involving volume of cones, spheres, and pyramids and surface area of spheres.

MA.8.C.1

Solve real-world problems with rational numbers by using multiple operations.

• I can define a function as a rule, where for each input there is exactly one output.

• I can identify the independent and dependent variables.

• Given a graph or table, I can determine whether the relation is a function.

• I can show the relationship between inputs and outputs of a function by graphing them as ordered pairs on a coordinate grid.

• I can explain that an equation in the form of y = mx + b represents the graph of a linear relationship.

• I can give examples of relationships and create a table of values that can be defined as non-linear.

• I can compare and contrast linear and nonlinear functions from tables, graphs, equations, and verbal descriptions.

• I can find the slope and y-intercept in a linear function.

• Given an equation in slope-intercept form, I can interpret the slope and y-intercept in context.

• I can plot ordered pairs on a coordinate grid representing the relationship between two data sets.

• I can identify an appropriate scale for each measurement data when constructing scatter plots.

• I can accurately label the axes when constructing a scatter plot.

• I can describe patterns such as clustering, positive or negative association and linear or nonlinear association.

• I can identify outliers.

• I can recognize if the data plotted on a scatter plot has a linear association or a nonlinear association.

• I can draw a straight line to approximate the linear relationship between the plotted points of two data sets.

• I can describe the fit of my line by evaluating the closeness of the data points to the line.

• I can determine the equation of a trend line that approximates the linear relationships between the plotted points of two data sets.

• I can interpret the y-intercept and slope of an equation based on collected data.

• I can use the equation of a trend line to make predictions about additional data points.

• I can identify three-dimensional figures based on specific attributes.

• I can define three-dimensional figures based on specific attributes.

• I can describe three-dimensional figures based on specific attributes.

• I can make predictions regarding the two-dimensional figure formed when slicing a three-dimensional solid.

• I can state and apply the formulas for the volumes of cones, spheres and pyramids.

• I can state and apply the formula for surface area of a sphere.

• I can solve real-world problems involving the volume of cones, spheres, and pyramids.

See Canvas for links to Notes, Homework assignment, online activities as well as listed in class activities.