Linear and Non-Linear Function Distinction: Domain and Range of a Function

Define, explore, compare, and analyze functions with the fourth chapter of a 10-part eighth-grade workbook series. After encountering the definition of a function, pupils begin to explore linear and nonlinear functions. They then...

How does an input affect an output? Assess your learners' ability to answer this question using this pre-test. Scholars answer questions about the basics of a function. Topics include determining if a table or statement represents a...

Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...

Profit from this interactive on graphing and interpreting functions. An interactive allows learners to plot a square root function representing a company's profits. They answer some challenge questions that require interpreting this...

Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns...

Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.

What's the rule that makes it true?  A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.

Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...

Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...