- Course type: Self-paced
- Available Lessons: 19
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1Introduction to Functions
Course SummaryEnsure your 8th grade math instruction aligns with Common Core Standards with this course covering functions, graphs and linear equations. Use these video lessons and interactive quizzes to engage your 8th graders with refreshed curriculum that meets educational standards.
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About the Common Core
These lessons cover topics addressed by the Common Core math standards for teaching functions to 8th grade. Content discusses properties of functions and their graphs as well as their uses to model quantitative relationships.
Lessons feature brief self-assessment quizzes that you could use to walk students through the processes of identifying and composing functions, finding the slope, and applying the intercepts of a line. The videos and transcripts also include step-by-step instructions for solving practice problems, which might prove useful to students completing their homework assignments.
Understanding Functions: CCSS.Math.Content.8.F.A.1
Standard: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Students watching these lessons can find out what, exactly, a function is and learn key terminology associated with these mathematical equations. They can also get tips for identifying functions, using function notation, and plotting points on the coordinate plane.
Compare Properties of Functions: CCSS.Math.Content.8.F.A.2
Standard: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
This chapter shows students how to compare the domain and range of two functions when given algebraic expressions, ordered pairs on the coordinate plane, or tables listing x and y values.
Interpret Linear Functions: CCSS.Math.Content.8.F.A.3
Standard: 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. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
These lessons can show students how to use x and y values to identify whether a function is linear or nonlinear, positive or negative, increasing or decreasing. They can also learn how to find the slope of a line using points on the coordinate plane, or determine the slope and x or y intercepts when given the slope-intercept form of an equation.
Model Linear Relationships: CCSS.Math.Content.8.F.B.4
Standard: 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.
Show students how to compose functions with the lessons included in this chapter. Students also learn how a linear equation can be used to determine the initial value and rate of change between two quantities.
Functional Relationships: CCSS.Math.Content.8.F.B.5
Standard: 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.
After students have learned to model linear relationships, this chapter can be used to teach them how to plot points or analyze a graph demonstrating the quantitative differences between an equation's input and output.
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