QUIZ 1: 4/7 QUIZ 2: 4/25 UNIT TEST:

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1 Say it with Symbols Day Topic Homework IXL Grade 1 Investigation 1.1 Inv 1/ACE # 1, V.11 2 Investigation 1.2 Inv 1/ACE # 3, 25-27, 34 V.12 3 Investigation 1.3 Inv 1/ACE # V.13 4 Investigation 1.4 Inv 1/ACE # 10a-c, 11-14, 53, 57 V.14 5 Investigation 2.1 Study for Quiz V.16 6 Quiz 1 Inv 2/ACE # 1, 3-5, Investigation 2.2 Inv 2/ACE # 6-8, Investigation 2.3 Inv 2/ACE # 10-12, Investigation 2.4 Inv 2/ACE # 16, Investigation 3.1 Inv 3/ACE # 1, 4-7, Review Study for Quiz 12 Quiz 2 None 13 Investigation 3.2 Inv 3/ACE # 10-17, 40, Practice Review Handout 15 Review Study for Exam 16 Unit Test All IXL due by 5/1 QUIZ 1: 4/7 QUIZ 2: 4/25 UNIT TEST: 5/1

2 Date: Day 1 Inv 1.1- Tiling Pools Equivalent expressions: Vocabulary A) 1. Write an expression for the number of border tiles needed to surround a square pool with sides of length s feet. 2. Write a different but equivalent expression for the number of tiles needed to surround the square pool. 3. Explain why your two expressions for the number of border tiles are equivalent.

3 B) 1. Use each expression in Question A to write an equation for the number of border tiles N. Make a table and a graph for each question. 2. Based on your table and graph, are the two expressions for the number of border tiles in Question A equivalent. Explain? C) Is the relationship between the side length of the pool and the number of border tiles linear or nonlinear? Explain.

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6 Date: Day 2 Inv 1.2- Thinking in Different Ways A) Make a sketch that shows how the student might have been thinking about the border of the pool. 1. Stella s equation: N = 4(s + 1) 2. Jeri s equation: N = s + s + s + s Hank s equation: N = 4(s + 2) 4. Sal s equation: N = 2s + 2(s + 2) B) Find the number of border tiles needed for a square pool with side length of 10 feet. 1. Stella s equation: N = 4(s + 1)

7 2. Jeri s equation:n = s + s + s + s Hank s equation:n = 4(s + 2) 4. Sal s equation:n = 2s + 2(s + 2) C) Which of the expressions for the number of border tiles in Question A represent Takashi s sketch? Explain.

8 Date: Day 3 Inv 1.3- The Community Pool Problem A) Which part of the expression for the area of the pool represents 1. The area of the indoor part? Explain. 2. The area pf the outdoor part? Explain. B) 1. Make a sketch of the outdoor part. Label the dimensions.

9 C) 1. Explain the reasoning that each person may have used to write their expression. 2. Decide if these expressions are equivalent to the original expression in Question A, part 2. Explain your reasoning.

10 Date: Day 4 Inv 1.4 Diving in Distributive Property: Vocabulary Factored form: Expanded form: Commutative Property of Addition: Commutative Property of Multiplication: A) Use the Distributive Property to write each expression in expanded form 1. 3(x + 5)

11 2. 2(3x 10) 3. 2x(x + 5) 4. (x + 2)(x + 5) B) Use the Distributive Property to write each expression in factored form x 2. x + x + x + 6 D) Three of the following expressions are equivalent. Explain which expression is not equivalent to the other three. 1. 2x 12x x 3. 10(1 x) 4. 20( x+1) 2

12 Date: Day 5 Inv Walking Together A) 1. Write equations to represent the money M that each student will raise for walking x kilometers. a. M Leanne = b. M Gilberto = c. M Alana = 2. Write an equation for the total amount of money M total the three-person team will raise for walking x kilometers B) 1. Write an expression that is equivalent to the expression for the total amount of money raised by the team in Question A, part 2. Explain why it is equivalent. 2. What information does this new expression represent about the situation? 3. Suppose each person walks 10 kilometers. Explain which expression(s) you would use to calculate the total amount of money raised.

13 Date: Day 7 Inv 2.2 Predicting Profit A) 1. Suppose the probability of rain is 25%. What profit can the concession stand expect? Explain. 2. What is the probability of rain if the profit expected is $625? Explain your reasoning. B) 1. Write an equation you can use to predict the concession-stand profit P based on the probability of rain R. 2. Use your equation to predict profit when the probability of rain is 25%. Compare your answer with your result in Question A, part 1.

14 C) 1. Write an equivalent expression for the profit in Question B. Explain why the two expressions are equivalent.

15 Date: Day 8 Inv 2.3- Making Candles Volume Formulas Rectangular Prism: Cone: Sphere: Cylinder: A) 1. Is Noah correct? Write an expression to find the volume of a rectangle prism. 2. Will this method work for finding the volume of a cylinder? Explain why or why not. B) 1. Write the relationships among the three containers in words and then as algebraic equations. 2. Use the relationships in part 1 to write an expression for finding the volume of

16 a. A cone with height h and radius r. b. A sphere with radius r.

17 Date: Day 9 Inv 2.4 Selling Ice Cream A How many cartons of ice cream should Ester order to make 100 scoops? B) 1. How much ice cream do you need to make 50 cups? 2. If the 50 cups are in addition to the 100 scoops from Question A, how many more cartons of ice cream must Ester order?

18 Date: Day 10 Inv 3.1 Selling Greeting Cards Vocabulary Properties of equality: A) 1. What information do the expressions 5s and 100+2s represent in the situation? What information do 100 and 2s represent? 2. Use the equations to find the number of boxes the choir must sell to make a $200 profit. Explain. 3. How many boxes must the choir sell to break even? Explain.

19 4. Write a simpler expression for profit. Explain how your expression is equivalent to the original expression for profit. C) Solve each equation for x when y = 0. Check your solutions. 1. y = 5 + 2(3 + 4x) 2. y = 5 2(3 + 4x) 3. y = 5 + 2(3 4x) 4. y = 5 2(3 4x)

20 Date: Day 11

21 Date: Day 12 Inv 3.2 Comparing Homework A) 1. Without using a table or graph, find the number of tiles for which the two costs are equal. 2. How can you check that your solution is correct? 3. How can you use a graph or table to find the number of tiles for which the two costs are equal?

22 B) Solve each equation for x. Check your solutions. 1. 3x = 5 + 2(3 + 4x) 2. 3x = 5 2(3 + 4x) x = 2(3 + 4x) (1 x) = 5 2(3 4x)