## Chapter 4

Powers and Roots

A Layered Curriculum Unit

**Required Assignments:**

Lesson 4-1 Pages 138-140: 14-58 even and 68-90 even

Lesson 4-2 Pages 143-146: 14-46 even and 58-78 even

Lesson 4-3 Pages 150-152: 20-60 even and 70-86 even

Lesson 4-4 Pages 156-158: 12-46 even and 58-76 even

Lesson 4-5 Pages 163-165: 10-52 even and 54-68 even

Lesson 4-6 Pages 172-173: 16-38 even and 48-62 even

Lesson 4-7 Pages 177-179: 14-52 even and 64-88 even

Layer C: 45 Points

1. Create flashcards for the following: Exponent, Power, Base, Negative Exponent, Monomial, Standard Form, Scientific Notation, Square Root, Perfect Square, Radical Sign, Cube Root, Perfect Cube, Irrational Number, Real Numbers, Pythagorean Theorem (5 Points)

*Do Not Spend Hours Doing This For 5 Points.

2. Create a definition, an example, and a real-world example for the following: Exponent, Power, Base, Negative Exponent, Monomial, Standard Form, Scientific Notation, Square Root, Perfect Square, Radical Sign, Cube Root, Perfect Cube, Irrational Number, Real Numbers, Pythagorean Theorem (15 Points)

3. Make a poster showing how to convert numbers from Standard Form to Scientific Notation and from Scientific Notation to Standard Form (5-20 Points)

4. Make a poster showing how to convert numbers written in Standard Form to Exponential Form and how to convert numbers in Exponential Form to Standard Form. (5-20 Points)

5. Make a poster showing the Order of Operations and several examples applying the Order of Operations. (5-20 Points)

Layer B: 70 Points

1. Textbook: Do as many or as few as you would like. Maximum of 5 points for each question. Just because it is completed does not mean that you will receive 5 points. Question difficulty, quality of answer, and other factors will be taken into consideration when determining the points given.

Page 139: 59-63

Page 145: 47-52

Page 151: 61-65

Page 157: 48-52

Page 164: 43-46

Page 172: 39-42

Page 178: 53-58

2. Complete the Chapter Review, Pages 180-182, 1-71 all. (30 Points)

3. Complete the Inquiry Lab for a maximum of 15 points. Quality of work and other factors will be taken into consideration when determining the points given. Pages 166-167.

4. Make a poster showing Perfect Squares and Perfect Cubes. Explain how you determine Perfect Squares and Perfect Cubes. Use the radical sign in your explanation. (5-20 Points)

Layer A: 25 Points

Lesson 4-1 Pages 138-140: 14-58 even and 68-90 even

Lesson 4-2 Pages 143-146: 14-46 even and 58-78 even

Lesson 4-3 Pages 150-152: 20-60 even and 70-86 even

Lesson 4-4 Pages 156-158: 12-46 even and 58-76 even

Lesson 4-5 Pages 163-165: 10-52 even and 54-68 even

Lesson 4-6 Pages 172-173: 16-38 even and 48-62 even

Lesson 4-7 Pages 177-179: 14-52 even and 64-88 even

Layer C: 45 Points

1. Create flashcards for the following: Exponent, Power, Base, Negative Exponent, Monomial, Standard Form, Scientific Notation, Square Root, Perfect Square, Radical Sign, Cube Root, Perfect Cube, Irrational Number, Real Numbers, Pythagorean Theorem (5 Points)

*Do Not Spend Hours Doing This For 5 Points.

2. Create a definition, an example, and a real-world example for the following: Exponent, Power, Base, Negative Exponent, Monomial, Standard Form, Scientific Notation, Square Root, Perfect Square, Radical Sign, Cube Root, Perfect Cube, Irrational Number, Real Numbers, Pythagorean Theorem (15 Points)

3. Make a poster showing how to convert numbers from Standard Form to Scientific Notation and from Scientific Notation to Standard Form (5-20 Points)

4. Make a poster showing how to convert numbers written in Standard Form to Exponential Form and how to convert numbers in Exponential Form to Standard Form. (5-20 Points)

5. Make a poster showing the Order of Operations and several examples applying the Order of Operations. (5-20 Points)

Layer B: 70 Points

1. Textbook: Do as many or as few as you would like. Maximum of 5 points for each question. Just because it is completed does not mean that you will receive 5 points. Question difficulty, quality of answer, and other factors will be taken into consideration when determining the points given.

Page 139: 59-63

Page 145: 47-52

Page 151: 61-65

Page 157: 48-52

Page 164: 43-46

Page 172: 39-42

Page 178: 53-58

2. Complete the Chapter Review, Pages 180-182, 1-71 all. (30 Points)

3. Complete the Inquiry Lab for a maximum of 15 points. Quality of work and other factors will be taken into consideration when determining the points given. Pages 166-167.

4. Make a poster showing Perfect Squares and Perfect Cubes. Explain how you determine Perfect Squares and Perfect Cubes. Use the radical sign in your explanation. (5-20 Points)

Layer A: 25 Points

**1. Planetary Play (up to 30 points)**