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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