### Clarifications

*Clarification 1:*Instruction includes referring to the input as the independent variable and the output as the dependent variable.

*Clarification 2: *Within this benchmark, it is the expectation to represent domain and range as a list of numbers or as an inequality.

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**8

**Strand:**Functions

**Standard:**Define, evaluate and compare functions.

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Lesson Plan

## Original Student Tutorials

## Tutorials

## Video/Audio/Animations

## MFAS Formative Assessments

Students are asked decide if one variable is a function of the other in the context of a real-world problem.

Students are shown the graph of a circle and asked to identify a portion of the graph that could be removed so that the remaining portion represents a function.

Students are asked to determine if each of three equations represents a function. Although the task provides equations, in their explanations students can use other representations such as ordered pairs, tables of values or graphs.

Students are asked to determine if relations given by tables and mapping diagrams are functions.

Students are given four graphs and asked to identify which represent functions and to justify their choices.

Students are asked to determine whether or not each of two graphs represent functions.

Students are asked to determine whether or not tables of ordered pairs represent functions.

Students are asked to define the term function and describe any important properties of functions.

Students are asked to determine if each of two sequences is a function and to describe its domain, if it is a function.

## Original Student Tutorials Mathematics - Grades 6-8

Learn how to determine if a relationship is a function in this interactive tutorial that shows you inputs, outputs, equations, graphs and verbal descriptions.

## Original Student Tutorials Mathematics - Grades 9-12

What is a function? Where do we see functions in real life? Explore these questions and more using different contexts in this interactive tutorial.

This is part 1 in a two-part series on functions. Click HERE to open Part 2.

## Student Resources

## Original Student Tutorials

What is a function? Where do we see functions in real life? Explore these questions and more using different contexts in this interactive tutorial.

This is part 1 in a two-part series on functions. Click HERE to open Part 2.

Type: Original Student Tutorial

Learn how to determine if a relationship is a function in this interactive tutorial that shows you inputs, outputs, equations, graphs and verbal descriptions.

Type: Original Student Tutorial

## Tutorials

In an equation with 2 variables, we will be able to determine which is the dependent variable, and which is the independent variable.

Type: Tutorial

A graph in Cartesian coordinates may represent a function or may only represent a binary relation. The "vertical line test" is a visual way to determine whether or not a graph represents a function.

Type: Tutorial

## Video/Audio/Animations

Although the domain and codomain of functions can consist of any type of objects, the most common functions encountered in Algebra are real-valued functions of a real variable, whose domain and codomain are the set of real numbers, R.

Type: Video/Audio/Animation

Two sets which are often of primary interest when studying binary relations are the domain and range of the relation.

Type: Video/Audio/Animation