Transcript

Tuesday, Oct 30

5 Minute CheckComplete in your notebook.

1. 7 7 7 =

2. 2 2 2 =

3. 9 9 9 9 =

4 14. 5 - 2

1 55. 310 - 2 65 Minute CheckComplete in your notebook.

1. 7 7 7 =

5 Minute CheckComplete in your notebook.

1. 7 7 7 = 343

5 Minute CheckComplete in your notebook.

2. 2 2 2 =

5 Minute CheckComplete in your notebook.

2. 2 2 2 = 8

5 Minute CheckComplete in your notebook.

3. 9 9 9 9 =

5 Minute CheckComplete in your notebook.

3. 9 9 9 9 = 6561

5 Minute CheckComplete in your notebook.

4 14. 5 - 2

5 Minute CheckComplete in your notebook.

4 14. 5 - 2 4 2 1 5 5 2 - 2 5

8 5 3 10 - 10 = 10

5 Minute CheckComplete in your notebook. 1 55. 310 - 2 65 Minute CheckComplete in your notebook. 1 55. 310 - 2 6

31 17 10 - 6 = 31 3 17 5 10 3 - 6 5

93 85 8 4 30 - 30 = 30 = 15Monday, Nov 18Lesson 6.1

Powers and ExponentsPowers and ExponentsObjective: To understand how to represent numbers using exponents.

Powers and ExponentsAt the end of this lesson you should be able to answer the following question.

How is using exponents helpful?

Powers and ExponentsFitness Fortress recycles plastic water bottles. On Saturday, 8 bottles were placed in the bins. On Sunday, 8 bottles were recycled.

Powers and ExponentsYou can use bar diagrams to represent the number of bottles recycled. Use a second bar to represent the number of bottles recycled on Sunday.

Powers and ExponentsYou can use bar diagrams to represent the number of bottles recycled. Use a second bar to represent the number of bottles recycled on Sunday.

Saturday

Sunday

8 bottles8 bottlesPowers and ExponentsWe can also write this as an addition expression. How many terms are in the expression? 8 + 8 =

Saturday

Sunday

8 bottles8 bottlesPowers and ExponentsWe can also write this as an addition expression. How many terms are in the expression? 2 8 + 8 =

Saturday

Sunday

8 bottles8 bottlesPowers and ExponentsWe can also write this as an addition expression. Would the answer represent a sum, product or quotient? 8 + 8 =

Saturday

Sunday

8 bottles8 bottlesPowers and ExponentsWe can also write this as an addition expression. Would the answer represent a sum, product or quotient? Sum 8 + 8 =

Saturday

Sunday

8 bottles8 bottlesPowers and ExponentsWe can also write this as an multiplication expression. Would the answer represent a sum, product or quotient? 2 x 8 =

Saturday

Sunday

8 bottles8 bottlesPowers and ExponentsWe can also write this as an multiplication expression. Would the answer represent a sum, product or quotient? Product 2 x 8 =

Saturday

Sunday

8 bottles8 bottlesPowers and ExponentsSome expressions can be written as the product of a sum.

For example, 2 x (1 + 4).

The expression 2 x (1 + 4) can be thought of as having two factors, 2 and (1 + 4).

Powers and ExponentsThe expression 2 x (1 + 4) can be thought of as having two factors, 2 and (1 + 4).

Which factor is a sum?

Powers and ExponentsThe expression 2 x (1 + 4) can be thought of as having two factors, 2 and (1 + 4).

Which factor is a sum? 1 + 4

Powers and ExponentsUsing a bar diagram 2 x (1 + 4) can be written as follows.

1144Powers and ExponentsComplete questions 7- 21 on pages 431-432 with a partner. You have 15 minutes. Reminders-factors are something you multiply to get a product.

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Powers and ExponentsNumbers expressed using exponents are called powers.

e.g. 100 is a power of 10 because it can be written as 10.

Powers and ExponentsNumbers expressed using exponents are called powers.

A perfect square is a number that is made by squaring a whole number.

e.g. 100 is a perfect square because 10=100

Powers and ExponentsTo write powers as products, determine the base and the exponent.

e.g. The base of 10 is 10 and the exponent is 2. 10 is read ten squared.

10 is read ten cubed. Powers and ExponentsWhat is the difference between an expression and an equation?Powers and ExponentsWhat is the difference between an expression and an equation?

An equation has an equal sign.

An expression has no equal sign, but has an operation. Powers and ExponentsA number that is squared represents a two dimensional shape.

Powers and ExponentsA number that is cubed represents a three dimensional shape.

Powers and ExponentsWrite 6 6 6 using an exponent.

Powers and ExponentsWrite 6 6 6 using an exponent.

6 6 6 = 6Powers and ExponentsWrite 4 4 4 4 4 using an exponent.

Do this on your own. Powers and ExponentsWrite 4 4 4 4 4 using an exponent.

4 4 4 4 4 = 4Powers and ExponentsWrite 7 7 7 7 using an exponent.

Powers and ExponentsWrite 7 7 7 7 using an exponent.

7 7 7 7 = 7Powers and ExponentsWrite 5 as an expression with the same factors. Powers and ExponentsWrite 5 as an expression with the same factors.

5 5

What is the product?Powers and ExponentsWrite 5 as an expression with the same factors.

5 5 = 25

Powers and ExponentsWrite 2 as an expression with the same factors and then find the product.

Do this on your own. Powers and ExponentsWrite 2 as an expression with the same factors and then find the product.

2 2 2 2 Powers and ExponentsWrite 2 as an expression with the same factors and then find the product.

2 2 2 2 = 16Powers and ExponentsWrite ( ) as an expression with the same factors and then find the product.

Do this on your own.

Powers and ExponentsWrite ( ) as an expression with the same factors and then find the product.

Powers and ExponentsWrite ( ) as an expression with the same factors and then find the product.

=

Powers and ExponentsWrite 1.5 as an expression with the same factors and then find the product.

Do this on your own.

Powers and ExponentsWrite 1.5 as an expression with the same factors and then find the product. 1.5 1.5

Powers and ExponentsWrite 1.5 as an expression with the same factors and then find the product. 2 1.5 1.5 = 2.25 1.5 x 1.5 7 5 1 5 0 2.2 5

Powers and ExponentsWrite 10 as an expression with the same factors and then find the product.

Do this on your own.

Powers and ExponentsWrite 10 as an expression with the same factors and then find the product.

10 10 10 10 10

Powers and ExponentsWrite 10 as an expression with the same factors and then find the product.

10 10 10 10 10 = 100,000

Powers and ExponentsHow is using exponents helpful?

Powers and ExponentsAgenda Notes

Homework Homework Practice 6-1Due Tuesday, Nov 19Show all work!

Mid-Chapter 6 QuizFriday, Nov 22


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