200 Freestyle

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200 Freestyle

Description:

This unit of instruction is focused on the introduction of a precise definition of functions as students transition to the more formalized study of algebra. Students will analyze graphs of functions and interpret rates of change, intersections, and points on the curves of different functions.

Education Levels:

7, 8

Subject:

Functions, Algebra

Resource Type:

Unit of instruction

Medium:

PDF

Fee Status:

Free

Beneficiary:

Students

Online provider:

New York City Department of Education

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Keywords:

Graphs, Rates of change, Intersections, Linear equations

Mediator:

Middle school teachers

Publisher:

New York City Department of Education

Is Part Of:

http://schools.nyc.gov/

Language:

English

General

Learning Time:

2-3 weeks

Subjects/Topics

P21 Subject:

Mathematics

Instructional Methods

Assessment Method:

Authentic assessment

Learning Outcomes:

Learning Outcomes:

Exact Correlation

Common Core State Standards for Mathematics (2010)

Functions

Define, evaluate, and compare functions.

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.

Exact Correlation

Common Core State Standards for Mathematics (2010)

Functions

Define, evaluate, and compare functions.

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Exact Correlation

Common Core State Standards for Mathematics (2010)

Functions

Use functions to model relationships between quantities.

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.

Exact Correlation

Common Core State Standards for Mathematics (2010)

Functions

Use functions to model relationships between quantities.

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.

Exact Correlation

Common Core State Standards for Mathematics (2010)

Expressions and Equations

Analyze and solve linear equations and pairs of simultaneous linear equations.

Solve linear equations in one variable.

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

This data provided by the Achievement Standards Network

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