Unit 6, Lesson 15: Equivalent Exponential Expressions - Weebly

GRADE 6 MATHEMATICS

Unit 6, Lesson 15: Equivalent Exponential Expressions

Lesson Goals

? Work with simple equations involving exponents. ? Evaluate exponential expressions with variables.

Required Materials

15.1: Up or Down? (10 minutes)

Setup: 2 minutes of quiet work time, followed by a whole-class discussion.

Student task statement

1. Find the values of and values of .

for different

2. What patterns do you notice?

1 2 3 4

Possible responses

1. The values of and

: 3 and ,

9 and , 27 and , 81 and .

2. Answers vary. See lesson plan for sample responses.

Anticipated misconceptions

Some students may need to sketch a diagram to help them find a fraction of another fraction.

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Unit 6: Expressions and Equations, Lesson 15: Equivalent Exponential Expressions

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15.2: What's the Value? (10 minutes)

Setup: 5 minutes quiet work time followed by whole class discussion.

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Unit 6: Expressions and Equations, Lesson 15: Equivalent Exponential Expressions

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Student task statement

Evaluate each expression for the given value of . 1. when is 10 2. when is

3. when is 4

4. when is

5.

when is 1

6.

when is

Possible responses

1. 300

2.

3. 16

4.

5. 10

6.

Anticipated misconceptions

Students may use the wrong order when evaluating expressions, such as in multiplying by 3 first in and then squaring. Have them recall the last lesson where they practiced applying the agreed on order of operations in numeric expressions.

Students may interpret an expression like as meaning 3 next to the digit instead of as multiplication. For

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Unit 6: Expressions and Equations, Lesson 15: Equivalent Exponential Expressions

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GRADE 6 MATHEMATICS

example, students may think that

means 35 instead of 15 when

.

Discuss how the shorthand notation of

coefficients next to variables with no

symbols between them tells us to

multiply, and that it will simplify future

work with expressions and equations.

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Unit 6: Expressions and Equations, Lesson 15: Equivalent Exponential Expressions

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15.3: Exponent Experimentation (15 minutes)

Setup: 10 minutes of quiet work time, followed by a whole-class discussion.

Student task statement

Find a solution to each equation in the list that follows. (Numbers in the list may be a solution to more than one equation, and not all numbers in the list will be used.)

1.

5.

2.

6.

3.

7.

4.

8.

List:

1

2

3

4

5

6

8

Possible responses

1. 8 2. 4 3. 5 4. 5. 6. 6 7. 8 8. 2

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Unit 6: Expressions and Equations, Lesson 15: Equivalent Exponential Expressions

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