CPM Algebra 1 - Chapter 2 Name
Group Test Date Period
Team
Work as a team to solve the following problems. Each student must write out the complete solution for each problem on her/his own paper. Be sure to write clear, organized responses.
1. Hajari is a new student who has just joined your study group. He has not used algebra tiles before. Using one x2-tile and one xy-tile, give him a brief introduction. Start by drawing a sketch of each tile with the proper labels. Explain what you know about the tiles. Be sure to mention similarities and differences between the two tiles. Use the words variable, dimension, and area in your explanation.
2. Show and explain at least three different ways to represent zero on an expression mat. Sketch and describe each simplification.
3. Simplify each expression below, recording your steps in writing as you go. When you have simplified as much as possible, decide which expression is greater.
4. Find three different ways to represent using an expression mat and algebra tiles. Sketch each representation.
5. Use Guess and Check to solve the following problem.
Your friend’s math test contained 42 questions, some of which were worth two points while the rest were worth three points. Your friend tells you that a perfect score is 100 points, but she cannot remember how many of each type (2 point or 3 point) were on the test. Help your friend out: how many of each type were on the test?
6. Study the figures in the pattern below.
a. Draw Figures 4 and 5 on graph paper.
b. How many tiles will Figure 13 have? Show how you found your answer.
c. How tall will Figure 106 be? Be clear enough so that a new student to the class would understand.
7. The triangles below are similar (meaning that corresponding sides are proportional). Solve for x. Show all work.
IF THERE IS EXTRA TIME FOR PRACTICE, TRY THESE…………
8. Each student in a team began to solve the following problem a different way.
Deonna tried to use similar triangles, but she got stuck!
Cemetra tried to use a table to find out the time it took to hiccup one time and then 1000 times but she got stuck!
Robert turned minutes into seconds and tried to do some dividing but didn’t know what the numbers meant so she got stuck!
Josue tried to write out the relationship but he got stuck!
When they asked the teacher who was on the right track, she told them that all 4 methods would work. Show how to find the answer using each method.
9. The recorder reporter in your group got lazy and only recorded some of the steps and explanations while simplifying an expression on an expression mat. Fill in what is missing. Build the original equation as a group and use it to guide your conversation.
=
Left expression / Right expression / Explanation/ / Starting expression
Remove zeros and combine like terms
Take 2 from each side
10. Build the equation below using an equation mat and tiles then solve for x, if possible. Remember to justify that each step is “legal” and record each step of your solution process.
11. Build each equation, simplify as much as possible, and solve for x or y. Be sure to record each step of your solution process. If you cannot solve for the given variable, explain why not.
a. b.
c.