Grade 8 Work Sta on Slope and y-Intercept

Grade 8 Work Staon Slope and y-Intercept

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Center 3: Slope and y-intercept Reporting Category 2, TEKS 8(4)(C), 8(5)(I)

Folder tab label:

RC 2 TEKS 8(4)(C), 8(5)(I) Slope and y-intercept

Cover:

Reporting Category 2

Computations and Algebraic Relationships

TEKS 8(5)(I), 8(4)(C)

Slope and

y-Intercept

Content Objective I can write an equation from a graph of a linear relationship.

Language Objective I can describe the slope and y-intercept of a line.

Key Questions 1. What attributes of a line are used to write an equation? 2. How can you describe a line with positive slope? With negative slope? 3. What is the difference between a y-intercept and an x-intercept? 4. How can you determine the slope when given an equation in the form y = mx + b? 5. How can you determine where a line will cross the y-axis when given an equation in the form y = mx + b?

STAAR? Review To Go: Grade 8

?2016 Region 4 Education Service Center All Rights Reserved

Center 3: Slope and y-intercept Reporting Category 2, TEKS 8(4)(C), 8(5)(I)

Slope and y-Intercept Instructions

Task 1: Slope and y-Intercept Card Sort

? Sort the Graph Cards into groups with the same slopes.

? Use your sort to complete Slope and y-Intercept Card Sort: Part 1.

? Sort the cards into groups with the same y-intercepts.

? Use your sort to complete Slope and y-Intercept Card Sort: Part 2.

? Shuffle cards. ? Randomly select three cards. ? Use the selected cards to complete

Slope and y-Intercept Card Sort: Part 3.

Task 2: Writing Equations from Graphs

? Use the marker and word bank to complete the statement.

? Wipe the statement clean with a paper towel before you leave the station.

Task 3: Assessment ? Read and work through the assessment question.

Task 1 Graph Cards (9 cards)

Please do not write on cards.

Task 3 Which equation can be used to describe the relationship between x and y shown in the graph below?

A y = -4x - 3 B y = 4x - 1 C y = -4x - 1 D y = 4x - 3

STAAR? Review To Go: Grade 8

?2016 Region 4 Education Service Center All Rights Reserved

Center 3: Slope and y-intercept Reporting Category 2, TEKS 8(4)(C), 8(5)(I)

Task 2: Writing Equations from Graphs

Word Bank

intersects

steepness x-intercept

y-intercept

y2 - y1 x2 - x1

slope

x-axis y-axis

y = mx + b

The slope-intercept form of a line is ____________. The ____________ is represented by the variable m and the ____________ is represented by the variable b. Slope is a measure of the ____________ of a line. The slope can be determine by determining the ratio ____________. The y-intercept is the point at which the line ____________ the ____________.

STAAR? Review To Go: Grade 8

?2016 Region 4 Education Service Center All Rights Reserved

Center 3: Slope and y-intercept Reporting Category 2, TEKS 8(4)(C), 8(5)(I)

Answer Key

Task 1 Part 1: Slope Sort

Set 1: The slope is

1 2

.

Cards: A, D

Set

2:

The

slope

is

1 -2

.

Cards: B, C

Set 3: The slope is 2. Cards: E, H

Set 4: The slope is -3.

Cards: F, G, I

Part 2: y-intercept Sort Set 1: The y-intercept is 3. Cards: A, B, I Set 2: The y-intercept is 2. Cards: C, E, F

Set 3: The y-intercept is -4.

Cards: D, G, H

Part 3: Write an equation that can be used to describe the relationship between x and y shown in the graph.

Card: A

Card: B

Card: C

Equation:

y

=

1 2x

+ 3

Equation:

y

=

1 -2 x

+ 3

Equation:

y

=

1 -2x

+ 2

Card: D

Card: E

Card: F

Equation:

y

=

1 2x

- 4

Equation: y = 2x + 2

Equation: y = -3x + 2

Card: G

Card: H

Card: I

Equation: y = -3x - 4

Equation: y = 2x - 4

Equation: y = -3x + 3

Task 2 The slope-intercept form of a line is y = mx + b. The slope is represented by the variable m and the y-intercept is represented by the variable b. Slope is a measure of the steepness of a line. The slope can be determine by finding the ratio y2 - y1 . The y-intercept is the point at which the

x2 - x1 line intersects the y-axis.

Task 3: A

STAAR? Review To Go: Grade 8

?2016 Region 4 Education Service Center All Rights Reserved

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