Slippery Slopes

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Slippery Slopes

Description:

In this unit, students will build on previous work with proportional relationships and unit rates. Students will deepen their understanding of functions and linear equations.

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:

Linear equations, Slope, Functions, Proportional relationships, Y - intercept, Unit rate

Mediator:

Middle school teachers

Publisher:

New York City Department of Education

Is Part Of:

http://schools.nyc.gov/

Language:

English

General

Learning Time:

10-15 instructional days

Subjects/Topics

P21 Subject:

Mathematics

Instructional Methods

Assessment Method:

Authentic assessment

Learning Outcomes:

Learning Outcomes:

Broad Correlation

Common Core State Standards for Mathematics (2010)

Expressions and Equations

Understand the connections between proportional relationships, lines, and linear equations.

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

Broad Correlation

Common Core State Standards for Mathematics (2010)

Expressions and Equations

Understand the connections between proportional relationships, lines, and linear equations.

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Broad 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.

Broad Correlation

Common Core State Standards for Mathematics (2010)

Standards for Mathematical Practice

Make sense of problems and persevere in solving them.

Broad Correlation

Common Core State Standards for Mathematics (2010)

Standards for Mathematical Practice

2. Reason abstractly and quantitatively.

Broad Correlation

Common Core State Standards for Mathematics (2010)

Standards for Mathematical Practice

Model with mathematics.

Broad Correlation

Common Core State Standards for Mathematics (2010)

Standards for Mathematical Practice

Attend to precision.

This data provided by the Achievement Standards Network

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