By Unknown Author

ISBN-10: 0030386969

ISBN-13: 9780030386961

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**Extra info for Mathematics in Context: Patterns and Figures**

**Sample text**

B. Explain how you can find the total number of red tiles and of white tiles without counting them. 36 Patterns and Figures 2. a. Suppose you have a stack of pipes, like the one shown on the right, with 5 pipes on the bottom and 1 pipe on the top. Compute the number of pipes in the stack. Use some method other than counting each one. b. Compute the number of pipes in a stack that has 25 pipes on the bottom and 1 pipe on the top. Use some method other than counting each one. c. Design and solve your own pipe problem.

Find an equivalent expression for (2n ؉ 1)2. Explain your method and how you know it is correct. Section C: Square Numbers 25 C Square Numbers The square of a number is the number multiplied by itself. For example: • • • The square of 4 is 4 ؋ 4 ؍42 ؍16. 1 is 3 ᎑᎑ 1 ؋ 3 ᎑᎑ 1 ( ؍3 ᎑᎑ 1 )2 ؍12 ᎑᎑ 1. The square of 3 ᎑᎑ 2 2 2 2 4 The square of n is n •n ؍n2. 1 , 36, 10,000 are called square numbers, and Numbers like 4, 9, 12 ᎑᎑ 4 numbers like 4, 9, 36, 10,000 are perfect squares. The same number strip can represent equivalent expressions.

How many tiles do you need to add a row to the base of the fourth triangle to get the fifth pattern? 28 Patterns and Figures Triangles and Triangular Numbers D 3. Find the total number of tiles needed to make the tenth triangle in the sequence. The number of tiles in each triangle in the sequence is shown on the number strip. 1 4 ____ 9 ____ 16 ____ ____ ____ 4. a. What is the 30th number in this sequence? b. Use n to write an expression for this number strip. Where does n start? Janet is building a triangle table.

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