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Write the equivalent expression from set B by each expression in set A Set A Set B 1. 5. 3. 4. 2.

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Presentation on theme: "Write the equivalent expression from set B by each expression in set A Set A Set B 1. 5. 3. 4. 2."— Presentation transcript:

1 Write the equivalent expression from set B by each expression in set A Set A Set B 1. 5. 3. 4. 2.

2 Write the expression from set B by each expression in set A Set A Set B 1. 5. 3. 4. 2.

3 #5 Intuition: Estimate the number of cups in a stack that is as tall as your math teacher?

4 #6 Intuition: Give a range of reasonable answers to the number of cups in a stack that is as tall as your math teacher?

5 Estimate the number of cups in a stack that is as tall as your math teacher? Avoid these mistakes

6 11.5 Precision About 11.4 in 11+(5/16)=11.375≈11.4

7 Estimate the number of cups in a stack that is as tall as your math teacher? Create an estimate. Give clear, convincing evidence that your estimate is accurate. (Write something that would convince your boss) Generalize: create written steps, a graph and/or a variable expression that could be used to find the height of stacks with different numbers of cups. 7.

8 A stack of 3 cups is 7.5 inches tall. The relationship between number of cups and height of stack (inches) is modeled by the recursive function: Next=Now+0.7 8.26.8 Cups2345 Height (inches) 7.5 8.98.2 6.8

9 Next=Now+0.7 Cups01234524 Height (inches) 5.46.16.87.58.28.9 5.4+0.7(5) ? 5.4+0.7(24) 22.2 Height (inches) as a function of cups. 5.4+0.7c General expression: Function: h(c) = 5.4+0.7c Recursive Function: 94 71.2 c is # of cups

10 Time (minutes) 01234553 Weight (grams) 115127 Generalize: Function: Generalize:General expression: Function: Recursive Function: Table: 9.

11 Time (minutes) 01234553 Weight (grams) 115127 Generalize: Function: Generalize:General expression: Function: Recursive Function: Table: 9. Next=now+12 139151103 91727 91+12t W(t)=91+12t

12 Can I do it? Find the following: Missing information from the table General Expression Function

13 Given: Example 1: Find the value of f(x) when x is 4. Example 2: Find the value(s) of x that make f(x)=20 Use store as to try it.

14 Given: #1: Find the value of f(x) when x is 9. #2: Find the value(s) of x that make f(x)=60 72 6 f(9)=72 X=6

15 Given : #3: Find the value of f(x) when x is -5. #4: Find the value(s) of x that make f(x)=52 61 f(-5)=61 4 and -4 x=4 and -4

16

17 (2,6 ) (4,3 )

18 (1.4,6) (4.3,3 ) 2.9

19 A)Exact distance between the two points B)Decimal estimate of the distance between the two points. 1. (2,4) and (5, 9) 2. (-3,-6) and (2, -3) 3. (-4,6.1) and (-5.3, 9.8) 4. (25,68) and (88, -212) Use calculator for # 3 and 4. Decimal answer only


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