Unit 6, Lesson 15: Equivalent Exponential Expressions - Welcome to Mrs ...
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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GRADE 6 MATHEMATICS
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
2
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GRADE 6 MATHEMATICS
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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GRADE 6 MATHEMATICS
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
5
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