Teacher's Name: Joseph G. DiVincenzo
Periods 1, 3, 5, 7, & 8
Lesson Plan 1.1
Exponential Notation
Lesson Objective:
• Understand and use exponential notation.
• Use exponents to write the prime factorization of a number.
Essential Question:
Consider a whisper and a large rock concert. How can you measure which sound is louder? Possible
answer: Use sound measuring devices. In this chapter, students will learn that they can represent
repeated multiplication of the same factor by using exponential notation.
Caution:
Point out that the term power can be used either to refer to an entire exponential expression (109) or to
only the exponent (“…the 9th power”). Tell students that “power” usually means the exponential term,
unless the phrase “…to the nth power”, n is any integer, is included.
Common Core State Standards 8.EE.1
Mathematical Practices 2. Reason. 6. Attend to precision.
Day 1: Chapter 1 Pretest
Pacing
45-minute Classes: 1 day
Day 2: TE pp. 5–8
Pacing
Date: Thursday, September 5th, 2013
Date: Friday, September 6th, 2013
45-minute Classes: 1 day
WARM UP
5-minute Warm Up TE p. 5
TEACH
Instruction Understand Exponential Notation., TE p. 5
Example 1 Identify the base and exponent., TE p. 5
Guided Practice 1–2, TE p. 6
Example 2 Write in exponential notation., TE p. 6
Guided Practice 3–4, TE p. 6
Example 3 Write repeated multiplication using exponential notation., TE p. 6
Guided Practice 5–7, TE p. 7
Example 4 Expand and evaluate expressions in exponential notation., TE p. 7
Guided Practice 8–10, TE p. 8
PRACTICE 1.1, TE p. 12
Basic 1–17
Intermediate 18
Advanced 22–23, 26
Extra Practice 1.1
ASSESSMENT, TE p. 12
Lesson Check 1, 11
Copyright © Houghton Mifflin Harcourt
All rights reserved.
Reteach 1.1
1
Math in Focus, Course 3
Teacher's Name: Joseph G. DiVincenzo
Periods 1, 3, 5, 7, & 8
Date: Monday, September 9th, 2013
Day 3: TE pp. 8–12
Pacing
45-minute Classes: 1 day
TEACH
Instruction Use Exponents to Write the Prime Factorization of a Number., TE p. 8
Example 5 Write the prime factorization of a number using exponential notation., TE p. 9
Guided Practice 11–12, TE p. 10
Example 6 Solve a real-world problem using exponential notation., TE pp. 10–11
Guided Practice 13–14, TE p. 111
PRACTICE 1.1, TE p. 12
Basic 19
Intermediate 20–21, 24–25
Advanced 22–23, 26
Extra Practice 1.1
ASSESSMENT, TE p. 12
Lesson Check 20
Reteach 1.1
Lesson Plan 1.2
The Product and Quotient of Powers
Lesson Objective
• Understand the product of powers property.
• Understand the quotient of powers property.
• Multiply and divide expressions in exponential notation.
Essential Question:
How many factors of a are there in a4? How many factors of a are there in a3? How many factors are
there in the expressions a7 How do you find the product of a4 x a3?
Caution:
After discussing Example 7b), discuss with the students that the product of powers property cannot be
used to multiply 42 (-4)5 because the bases 4 and -4 are not the same.
Common Core State Standards 8.EE.1
Mathematical Practices 2. Reason. 3. Construct Arguments. 6. Attend to precision
Day 1: TE pp. 13–16
Pacing
Date: Tuesday, September 10th, 2013
45-minute Classes: 1 day
WARM UP
5-minute Warm Up TE p. 13
TEACH
Instruction Understand the Product of Powers Property., TE p. 13
Example 7 Use the product of powers property to simplify numerical expressions., TE p. 14
Guided Practice 1–3, TE p. 14
Example 8 Use the product of powers property to simplify algebraic expressions., TE p. 15
Copyright © Houghton Mifflin Harcourt
All rights reserved.
2
Math in Focus, Course 3
Teacher's Name: Joseph G. DiVincenzo
Periods 1, 3, 5, 7, & 8
Guided Practice 4–6, TE p. 15
Instruction Use the Product of Powers Property with Algebraic Expressions., TE p. 15
Example 9 Use the product of powers property to simplify algebraic expressions., TE p. 16
Guided Practice 7–8, TE p. 16
PRACTICE 1.2, TE p. 24
Basic 1–5, 7
Intermediate 8–9
Advanced 23
Extra Practice 1.2
Activity Book 1.2
ASSESSMENT, TE p. 24
Lesson Check 2, 7
Day 2: TE pp. 17–20
Pacing
Reteach 1.2
Date: Wednesday, September 11th, 2013
45-minute Classes: 1 day
TEACH
Instruction Understand the Quotient of Powers Property., TE p. 17
Example 10 Use the quotient of powers property to simplify numerical expressions., TE p. 18
Guided Practice 9–11, TE pp. 18–19
Example 11 Use he quotient of powers property to divide algebraic expressions., TE p. 19
Guided Practice 12–13, TE p. 19
Instruction Use the Quotient of Powers Property with Algebraic Expressions., TE p. 19
Example 12 Use the quotient of powers property to simplify algebraic expressions., TE p. 20
Guided Practice 14–15, TE p. 20
PRACTICE 1.2, TE p. 24
Basic 6, 10–14
Intermediate 15
Advanced 23
Extra Practice 1.2
Activity Book 1.2
ASSESSMENT, TE p. 24
Lesson Check 6, 15
Day 3: TE pp. 21–24
Pacing
Reteach 1.2
Date: Thursday, September 12th, 2013
45-minute Classes: 1 day
TEACH
Instruction Multiply and Divide Expressions in Exponential Notation. TE p. 21
Example 13 Use exponent properties to simplify numerical and algebraic expressions. TE pp. 21–22
Guided Practice 16–18, TE p. 22
Example 14 Solve a real-world problem in exponential notation. TE p. 23
Guided Practice 19, TE p. 23
PRACTICE 1.2, TE p. 24
Basic 16–19
Intermediate 20–22
Advanced 23
Copyright © Houghton Mifflin Harcourt
All rights reserved.
Extra Practice 1.2
Activity Book 1.2
3
Math in Focus, Course 3
Teacher's Name: Joseph G. DiVincenzo
Periods 1, 3, 5, 7, & 8
ASSESSMENT, TE p. 24
Lesson Check 22, 24
Ticket Out The Door, TE p. 24
Reteach 1.2
Lesson Plan 1.3
The Power of a Power
Lesson Objective
• Understand raising a power to a power.
• Use properties of exponents to simplify expressions.
Essential Question:
Using your own words and algebraic notation, explain how to raise a power to a power.
Caution:
Point out that in b) to d), the simplified expressions all include parentheses. Be sure that students know
why the parentheses are necessary. The parentheses indicate the base that is raised to the exponent.
For example,e without the parentheses, the solution to c) would be 2a15, meaning 2 a15
Common Core State Standards 8.EE.1
Mathematical Practices 4. Model mathematics. 5. Use tools strategically. 6. Attend to precision.
Day 1: TE pp. 25–28
Pacing
Date: Friday, September 13th, 2013
45-minute Classes: 1 day
WARM UP
5-minute Warm Up TE p. 25
TEACH
Instruction Understanding Raising a Power to a Power., TE p. 25
Hands-On Activity, TE p. 26
Example 15 Simplify expressions using the power of a power property., TE p. 27
Guided Practice 1–4, TE p. 28
PRACTICE 1.3, TE p. 31
Basic 1–8
Intermediate 9–13
Advanced 28–29
Extra Practice 1.3
ASSESSMENT, TE p. 31
Lesson Check 1, 9
Copyright © Houghton Mifflin Harcourt
All rights reserved.
Reteach 1.3
4
Math in Focus, Course 3
Teacher's Name: Joseph G. DiVincenzo
Day 2: TE pp. 28–31
Pacing
Periods 1, 3, 5, 7, & 8
Date: Monday, September 16th, 2013
45-minute Classes: 1 day
TEACH
Instruction Use Properties of Exponents to Simplify Expressions., TE p. 28
Example 16 Simplify expressions using properties of exponents., TE pp. 28–29
Guided Practice 5–8, TE p. 30
PRACTICE 1.3, TE p. 31
Intermediate 14–27
Advanced 28–29
Extra Practice 1.3
ASSESSMENT, TE p. 31
Lesson Check 14, 20
Ticket Out The Door, TE p. 31
Copyright © Houghton Mifflin Harcourt
All rights reserved.
Reteach 1.3
5
Math in Focus, Course 3