Equality and inequality

Transcription

1 Block 1 Student Activity Sheet The king ruled his kingdom in a strange manner. He fancied himself as clever and thus provided the following riddle to his court. I have three identical vessels, he pronounced. One of the three vessels contains gold coins. The other two contain nothing. I have the royal scale. A brave soul may make one and only one weighing and then must immediately choose one vessel to take. If you choose the vessel with gold, you may take it with you and live prosperously. But if you choose wrong, you will be put to death immediately. He laughed cruelly at the thought. How brave and clever are you? Can you determine a way to solve the riddle and live richly? Page 1 of 1

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3 Block 2 Student Activity Sheet 1. The limes, cherries, grapes, strawberries, pineapples, pears, apples, plums, oranges, and bananas shown in these equations have a particular meaning. Each type of fruit represents a single digit (0 9). (This means that a two-digit number is represented by two pieces of fruit side-by-side with no symbol between them.) Each fruit represents the same number in every equation. Using what you know about the number system and properties, determine the value of each fruit. Page 1 of 2

4 Block 2 Student Activity Sheet 2. REINFORCE Create your own equation to give an example of each property. Property Example a. Reflexive Property of Equality b. Symmetric Property of Equality c. Transitive Property of Equality d. Additive Identity Property of 0 e. Multiplicative Identify Property of 1 Page 2 of 2

5 Block 3 Student Activity Sheet Write a number sentence to describe each number line Page 1 of 2

6 Block 3 Student Activity Sheet 8. A large box of strawberries varies in price. The cost of a box is never greater than or equal to $9. The lowest price ever reached for the box of strawberries is $4. Write an inequality number sentence to show all the possible prices (P) for a box of strawberries. P > < = Read the constraints, or rules. For each number in the table, decide whether it meets all of the constraints. Write Yes or No to show whether the number meets all of the constraints. Constraint 1: The number is greater than or equal to 18. Constraint 2: The number is less than 84. Constraint 3: The number is divisible by 6. Constraint 4: The number does not have a 4 as a factor. Yes or No? Number Page 2 of 2

7 Block 4 Student Activity Sheet 1. Use the symbols <, =, and > to make the number sentences true. a. Mike deposited $89 and Ellyn deposited $84. A week later Mike added $17 to his account and Ellyn added $22. $89 + $17 $84 + $22 b. Mike works a paper route and makes $89 per month. Ellyn baby-sits and makes $84 per month. Mike worked for 3 months and Ellyn worked for 4 months. $89 3 $84 4 c. Mike earned $89 this month and then spent $21 on new music CD s. Ellyn earned $84 and bought two books for $17. $89 - $21 $84 - $17 2. Write a number sentence to compare how much Mike and Ellyn have in the bank. Page 1 of 1

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9 Block 5 Student Activity Sheet 1. Each type of fruit has a unique weight that is consistent between scales. Use the four scales to determine the relationship between the different types of fruit. How do the weights of each fruit compare with each other? Which weighs the most? Which weighs the least? How many of one kind of fruit equal another kind of fruit? Page 1 of 2

10 Block 5 Student Activity Sheet 2. Determine the symbol that makes the number sentence true. If a = b and c > d, a + c b + d. If a < b and c < d, a + c b + d. If a < b and c = d, a + c b + d. If a = b and c = d, a + c b + d. Page 2 of 2