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EAST ALLEN COUNTY SCHOOLS

Bundle 3

Algebra I

Big Idea: Functions Relations and

Functions

Enduring Understandings Essential Questions

Graphs are used to show the relationship between two quantities.

Scatter Plots show the trend of a data set.

The vertical line test can be used to determine if a relation is a function.

We control the values of the independent variable, but the corresponding values of the dependent variable are controlled by the function rule.

The slope of a linear function represents a constant rate of change.

Graphs of linear functions can be translated using the characteristics of the parent function.

The horizontal-intercept is where the dependent variable is zero and the vertical-intercept is where the independent variable is zero.

There are three ways to represent a linear function, each with their advantages and disadvantages.

Parallel lines are lines in same plane with the same slope and different y-intercepts.

Perpendicular lines are lines in the same plane that intersect at a right angle and the product of their slopes is -1.

The graph of and inequality represents a region of the coordinate plane bounded by its related function. The line may or may not be a solution to the inequality.

What are the real-life applications to graphing linear equations and inequalities?

How can scatter plots be used to make predictions?

What characteristics of a relation distinguish it as a function?

How do you determine which variable is the independent or dependent variable?

What does the slope tell you about a function?

What do the intercepts represent in a real-life situation?

What are the advantages of having different forms of linear equations?

How can you determine whether two lines are parallel or perpendicular?

How does the graph of an inequality compare to its related function?

Big Idea: Functions Relations and

Functions

A

CC/Learning Targets Core Vocabulary Common Core 8.3.5 8.3.6 8.3.7 8.3.8 8.5.2 8.6.5 A1.3.1a A1.3.1b A1.3.2a A1.3.2b A1.3.3a A1.3.3b A1.3.3c A1.3.3d

A1.3.3e A1.3.4a A1.3.4b A1.3.4c A1.4.1a A1.4.1b A1.4.1c A1.4.2a A1.4.2b A1.4.2c A1.4.2d A1.4.2e A1.4.2f A1.4.3a

A1.4.3b A1.4.3c A1.4.3d A1.4.3e A1.4.3f A1.4.4a A1.4.4b A1.4.4c A1.4.4d A1.4.5a A1.4.5b A1.4.5c A1.4.5d A1.4.6a

Domain Function Independent/Dependent Variable Intercept Parallel/Perpendicular Lines Range Trend Line

8.EE.5 F.IF.1 S.ID.7 8.EE.6 F.IF.2 S.ID.8 8.F.1 F.IF.4 S.ID.9 8.F.3 F.IF.5 F.LE.1b 8.F.4 F.IF.6 8.F.5 F.IF.7 8.SP.1 F.IF.7a 8.SP.2 F.IF.8 8.SP.3 F.IF.9 8.SP.4 F.BF.1 A.CED.2 S.ID.6 A.CED.3 S.ID.6a A.REI.10 S.ID.6b A.REI.12 S.ID.6c

Your parents have decided that it is now time for you to pay for your own cell phone. You will need to research at least two different cell phone providers without text or data features. You will not be able to use an unlimited plan as one of your two options. Once you have picked the two plans, you will write an equation for each plan in both slope-intercept and standard form, and then compare them graphically. You will need to describe the slope and y-intercept of your graph and the quantity each represents. You will then determine which plan is best for you and a give a detailed summary of your reasons for this choice.

ALGEBRA I Math Bundle 3

Quarter 2 October - November

Relations and Functions Alg 1- Bundle 3

Indiana Learning Targets Resource of Ideas Evidence of Learning 8.3.5

Identify and graph linear functions, and

identify lines with positive and negative

slope.

-Prentice Hall Algebra 1 Lesson 5-2, 5-3, 6-1, 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 4.2, 4.4, 5.1, 5.3, 5.4, 5.5, 5.6, and 5.7 Slope Slope Problems

Graphing Activity Quiz Homework

8.3.6 Find the slope of a linear function given

the equation and write the equation of a

line given the slope and any point on the

line.

-Prentice Hall Algebra 1 Lesson 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, 5.6, and 5.7 Slope Slope Problems

Create a Problem and Trade Quiz Homework

8.3.7

Demonstrate an understanding of rate as

a measure of one quantity with respect

to another quantity.

-Prentice Hall Algebra 1 Lesson 5-5, 6-1, 6-2, 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, and 5.7

Written Explanation of Standard Quiz Homework

8.3.8 Demonstrate an understanding of the

relationships among tables, equations,

verbal expressions, and graphs of linear

functions.

-Prentice Hall Algebra 1 Lesson 5-2, 5-3, 5-4, 5-5, 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 4.2, 4.4, 4.5, 5.3, 5.4, 5.5, 5.6, and 5.7

Written Explanation of Relationship Quiz Homework

8.5.2 Solve simple problems involving rates

and derived measurements for such

attributes as velocity and density.

-Prentice Hall Algebra 1 Lesson 5-5, 6-2, 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.1, 5.2, 5.3, 5.4, 5.5, and 5.6

Real-life Problems Quiz Homework

8.6.5 Represent two-variable data with a

scatterplot on the coordinate plane and

describe how the data points are

distributed. If the pattern appears to be

linear, draw a line that appears to best fit

the data, and write the equation of that

line.

-Prentice Hall Algebra 1 Lesson 1-9 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.7 Interactive Scatter Plot

Graphing Activity Real-life Problems Quiz Homework

A1.3.1a Apply appropriate labels and intervals to

each axis.

-Prentice Hall Algebra 1 Lesson 1-9 and 5-1 -Pearson iBooks Algebra 1 Lesson 1.9 and 4.1


A1.3.1b Sketch a reasonable graph for a given

relationship.

-Prentice Hall Algebra 1 Lesson 5-1 -Pearson iBooks Algebra 1 Lesson 4.1 Linear Function Explorer


http://www.purplemath.com/modules/slope.htm

http://cs.selu.edu/~rbyrd/math/slope/

http://www.purplemath.com/modules/slope.htm

http://cs.selu.edu/~rbyrd/math/slope/

http://www.shodor.org/interactivate/activities/ScatterPlot/

http://www.mathopenref.com/linearexplorer.html


A1.3.2a Describe relationships between two

measures on the horizontal and vertical

axes.

-Prentice Hall Algebra 1 Lesson 5-1, 5-2, 5-3, 5-4, 5-5, 6-1, 6-2, 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 4.1, 4.2, 4.4, 4.6, 5.1, 5.3, 5.4, 5.5, and 5.6

Graphing Activity Written Explanation of Relationship Quiz Homework

A1.3.2b Explain what is going on at a specific

point or during a particular interval on a

graph.


Written Explanation Quiz Homework

A1.3.3a Identify the criteria for a relationship to

be considered a function.

-Prentice Hall Algebra 1 Lesson 5-2, 5-3, and 5-4 -Pearson iBooks Algebra 1 Lesson 4.6 What is a Function


A1.3.3b Determine whether a list or table of

ordered pairs represents a function.

-Prentice Hall Algebra 1 Lesson 5-2, 5-3, and 5-4 -Pearson iBooks Algebra 1 Lesson 4.6 What is a Function

Create a Relation and Trade Quiz Homework

A1.3.3c Determine whether a given graph

represents a function.

-Prentice Hall Algebra 1 Lesson 5-2, 5-3, and 5-4 -Pearson iBooks Algebra 1 Lesson 4.6


A1.3.3d Determine whether a given equation

represents a function

-Prentice Hall Algebra 1 Lesson 5-2, 5-3, and 5-4 -Pearson iBooks Algebra 1 Lesson 4.6 Linear Function Explorer


A1.3.3e Translate between a table, an equation,

a graph and a verbal description, given

at least one of the representations.


Quiz Homework

A1.3.4a Find the domain and range of a list or

table of ordered pairs.


Quiz Homework

A1.3.4b Find the domain and range of a given

graph.


Graphing Activity Quiz

http://www.mathsisfun.com/sets/function.html

http://www.mathsisfun.com/sets/function.html



Homework

A1.3.4c Find the domain and range of a given

equation.


Quiz Homework

A1.4.1a Graph a linear equation given slope-

intercept form.

-Prentice Hall Algebra 1 Lesson 5-3, 6-2, 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, and 5.6 Slope and y-intercept Linear Function Explorer


A1.4.1b Graph a linear equation given in

standard form.

-Prentice Hall Algebra I, Lesson 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.4, 5.5, and 5.6 Linear Function Explorer


A1.4.1c Graph a linear equation in any form. -Prentice Hall Algebra 1 Lesson 5-3, 6-2, 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, and 5.6 Linear Function Explorer


A1.4.2a Find the slope of a line given its graph. -Prentice Hall Algebra 1 Lesson 6-1, 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.1, 5.3, 5.4, 5.5, 5.6, and 5.7 Slope and y-intercept


A1.4.2b Find the slope of a line given its

equation. Use equations in both slope-

intercept and standard forms.

-Prentice Hall Algebra 1 Lesson 6-2, 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, and 5.6


A1.4.2c Find the slope of a line given two points

on the line.

-Prentice Hall Algebra 1 Lesson 6-1, 6-2, 6-3, 6-4, 6-5, and 6-6 -Pearson iBooks Algebra 1 Lesson 5.1, 5.3, 5.4, 5.5, 5.6, and 5.7


A1.4.2d Find the x-intercept and the y-intercept of

a line given its graph.



A1.4.2e Find the x-intercept and the y-intercept of

a line given its equation.

Use equations in both slope-intercept

and standard forms.



A1.4.2f Find the x-intercept and the y-intercept of

a line given two points on the line.



http://www.math.com/school/subject2/practice/S2U4L2/S2U4L2Pract.html






A1.4.3a Write the equation of a line in slope-

intercept form, given the slope and the y-

intercept.

-Prentice Hall Algebra 1 Lesson 6-2, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, and 5.6


A1.4.3b Write the equation of a line in slope-

intercept form, given a graph.

-Prentice Hall Algebra 1 Lesson 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, and 5.6


A1.4.3c Demonstrate how the slope and y-

intercept of the graph are related to a

linear equation in slope-intercept form.

-Prentice Hall Algebra 1 Lesson 6-2, 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, and 5.6 Slope and y-intercept


A1.4.3d Write the equation of a line in slope-

intercept form, given the standard form.

-Prentice Hall Algebra 1 Lesson 6-3, 6-4, and 6-5 -Pearson iBooks Algebra 1 Lesson 5.5 and 5.6


A1.4.3e Write the equation of a line in slope-

intercept form, given a table.



A1.4.3f Write the equation of a line in slope-

intercept form, given a verbal

description.



A1.4.4a Write the equation of a line given two

points on the line.

-Prentice Hall Algebra 1 Lesson 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, 5.6, 5.7


A1.4.4b Write the equation of a line given one

point on the line and an equation of a

parallel line.

Be sure to discuss that parallel lines

have equal slopes.

-Prentice Hall Algebra 1 Lesson 6-5 -Pearson iBooks Algebra 1 Lesson 5.6


A1.4.4c Write the equation of a line given one

point on the line and an equation of a

perpendicular line.

Be sure to review that perpendicular

lines have negative reciprocal slopes.



A1.4.4d Write the equation of a line, given a

combination of points on the line, x- or y-

-Prentice Hall Algebra 1 Lesson 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, 5.6, and 5.7

Create a Problem and Trade Quiz



intercepts, or the slope of the line. Homework

A1.4.5a Write the equation of a line that models a

data set.

-Prentice Hall Algebra 1 Lesson 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.3, 5.4, 5.5, 5.6, and 5.7


A1.4.5b Use the equation of a line or the graph of

the equation to make predictions with a

given data set.


Quiz Homework

A1.4.5c Find the slope of the line described by a

given data set.

-Prentice Hall Algebra 1 Lesson 6-1, 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.1, 5.3, 5.4, 5.5, 5.6, and 5.7


A1.4.5d Determine the rate of change for a

specified measure based on the

equation or graph for a given set of data.

This is to assess whether the student

knows the rate of change is the slope.

-Prentice Hall Algebra 1 Lesson 6-1, 6-2, 6-3, 6-4, 6-5 and 6-6 -Pearson iBooks Algebra 1 Lesson 5.1, 5.3, 5.4, 5.5, 5.6, and 5.7


A1.4.6a Graph a linear inequality in two

variables.



Correlating CC/Learning Targets Teacher Notes

*8.1.2 *8.2.1 8.2.3 8.2.4 *8.3.1 *8.3.4 A1.1.1a A1.1.1b A1.1.3a A1.1.3b A1.2.1a A1.2.1b

A1.2.1c A1.2.1d A1.2.2a A1.2.3 A1.2.4a A1.2.4b A1.2.4c A1.2.6a A1.2.6b A1.2.6c

Bundle 3 Algebra I - hhs.eacs.k12.in.us › UserFiles › Servers › Server_3123024 › File... ·...

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