High School

Algebra 1 For Credit

Math Packet

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Algebra 1 Packet

Essential Questions 1. How do you graph a line? 2. What are the forms of linear equations? 3. What are the advantages of the different forms

of linear equations?

Enduring Understandings 1. Lines need a minimum of two points to be plotted 2. The different forms highlight key information such

as slope, y-intercepts, points that are on the line

Linear Equations, Inequalities, & Functions Content Standard Success Criteria

Developing (2) Proficient (3) Advanced (4)

Understand a graph of an equation and an inequality in two variables (REI.10)

❏ I can find slope ❏ I can identify slope and y-

intercept from a graph or equation

❏ I can graph a linear inequality with errors (dotted/solid line, shading)

❏ I can find and interpret slope

❏ I can graph a linear equation

❏ I can graph a linear inequality

❏ I can use linear models to make predictions

❏ I can represent and describe real world situations using the graph if an equation/inequality

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales (CED.A.2)

❏ I can identify and describe important quantities that need to be represented.

❏ I can create equations in two or more variables to represent relationships between quantities.

❏ I can graph equations on coordinate axes with labels and scales.

❏ I can justify which quantities in a mathematical problem or real-world situation are dependent and independent of one another.

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.(REI.B.3)

❏ I can solve a linear equation or inequality algebraically or graphically with errors and/or with assistance.

❏ I can begin to isolate a specific term in equation or inequality, but need assistance to finish

❏ I can isolate a specific term in an equation or inequality

❏ I can solve a linear equation or inequality algebraically

❏ I can solve a linear equation or inequality by graphing

❏ I can analyze the effect a coefficient will have on a graph of a equation or inequality

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Answer Key Page 1 - 4

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Answer Key Page 6 - 8

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Answer Key Page 11-12

ANSWERS: 9) zero; 10) ½ ; 11) 1; 12) -⅔

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Performance Task- Club Fundraising

Standard Description Score

REI.10 Understand a graph of an equation and an inequality in

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two variables

REI.B.3 Solve linear equations and inequalities in one variable

MP Group 1 Make sense of problems and persevere in solving them

MP Group 3 Construct viable arguments and critique the reasoning of others

You are part of the __________________________ Club and you are fundraising to go to a conference in New York City. The cost per member is $700 and 8 members and 2 chaperones plan to attend the conference. The cost for each chaperone is $350 and that cost needs to be covered by the members of the club. Your club has decided to sell frozen pizzas for a profit of $3.00 per pizza sold as well as frozen pies for a profit of $4.50 per pie sold. Create a fundraising log to show how the money for the trip is raised.

A. Write and graph an inequality that represents the number of pizzas (y) and pies (x) that are sold.

B. The restaurant that is supplying the pizzas and pies can only guarantee 200 pizzas and 140 per seller.

C. Create your log as if each seller sells a different combination of pizzas and pies -------------------------------------------------------------------------------------------------------------------------------

Performance Task - Amusement Park

Standard Description Score

F.BF.1 Write a function that describes a relationship between two quantities

CED.A.2 Create equations in two or more variables to represent relationships between quantities

MP Group 1 Make sense of problems and persevere in solving them

MP Group 2 Use models and tools precisely

You are planning a trip to a local amusement park with some of your friends and parents. The park requires one adult per 5 teens in a group. The cost of entering is $55 per person and parking costs $10 per vehicle. The minivans you plan to take can hold 7 people including the driver. What is the total cost of bringing 5, 8, or 12 friends?

A. Write and graph linear equation for each combination B. Create a data display (chart and graph included) to represent each cost combination. C. Is there a number of people that is more cost effective than another?