Miss Alexander

Mathematics

Grade 6

Unit 4

Factors

Day / Lesson Name
1 / Prime Factorization Expanded and Exponential Form
2 / Prime Factorization Expanded and Exponential Form
3 / Greatest Common Factor using Prime Factorization
4 / Greatest Common Factor Day #2
5 / Apply Greatest Common Factor to Simplify Fractions
6 / Performance Task
7 / Tables
8 / Review Game Day
9 / Test

Name: ______

Period: ______

Lesson 1: Prime and Composite

PRIME NUMBERS:

______

______

How do you know if it is prime or not?

Top 10 prime numbers:

______

Composite Numbers:

______

Determine if the following are prime or composite:

1. 61 2. 25

3. 43 4. 47

5. 21 6. 29

7. 1018. 71

9. 31 10. 63

HOMEWORK

Determine if the following are prime or composite:

1. 31 2. 50

3. 41 4. 23

5. 100 6. 81

7. 11 8. 7

9. 3310. 59

Lesson 2: Prime Factorization Expanded and Exponential Form

Vocabulary:

prime factorization- ______

Lesson: How can you write the prime factorization of a number?

Use a factor tree to find the prime factorization of 72

Guided Class Practice: Write the prime factorization of each number. If it is prime, write prime. If it is composite, write composite.

1.) 18______2.) 23______

3.) 32______4.) 45______

5.) 89______6.) 169______

7.) 216______8.) 243______

Try These: Show all work.

1.)Find the prime factorization of each number in exponential form.

2456

2.)Ms. Alexander loves to do math problems in his free time. She wants to find out which number below is prime.

23275760

3.)What is another way to write 8 x 8 x 8?

4.)Evaluate: 3x – 42 + (3-1) when x= 7

5.) Simplify and check: 4x= 24

6.) Simplify and check: x + 9= 30

7.) Simplify and check: x – 8 = 4

9.) Evaluate: 3x3 when x=4

10.) Evaluate: 6x4 when x=2

Homework: Finish today’s practice problems.

Lesson3: Greatest Common Factor using Prime Factorization

Vocabulary:

Greatest Common Factor- ______

Lesson: How can you find the GCF of a set of numbers?

To find the GCF, you can use prime factorization or multiply the factors they share.

Multiplying factors- LADDER
18 and 36

Guided Practice: Find the GCF for each set of numbers.

1.)14, 35

2.)22, 55

3.)25, 100

4.)15, 44

5.)27, 81

6a.) What is the greatest common factor of 40 and 12?

6b.) Using the greatest common factor, complete the equation below.

40 + 12 = ___ ( ___ + ___ )

7a.) What is the greatest common factor of 36 and 20?

7b.) Using the greatest common factor, complete the equation below.

36 + 20 = ___ ( ___ + ___ )

8a.) What is the greatest common factor of 21 and 14?

8b.) Using the greatest common factor, complete the equation below.

21 + 14 = ___ ( ___ + ___ )

Try These: Find the GCF for each set of numbers.

1.)39, 692.)21, 49

3.)8, 524.)20, 35

5a.) What is the greatest common factor of 49 and 14?

5b.) Using the greatest common factor, complete the equation below.

49 + 14 = ___ ( ___ + ___ )

Homework- Worksheet Practice

Lesson 4: Applying GCF to Simplify Fractions

Vocabulary:

fractions- ______

numerator- ______

denominator- ______

simplify: ______

Lesson: What are fractions and how do you write them in simplest form?

Try these: Find the GCF of the numerator and denominator to simplify the fractions.

1.) 2.)

3.)4.)

5.)6.)

7.)8.)

9.) 10.)

11.)12.)

13.)14.)

Lesson 5: Solving Tables/ Patterns

1.) Mr. Berman can make t-shirts for his students. The table below shows the number of t-shirts he made each day.

Boxes of T-Shirts

Days / Packages (boxes) / T-shirts made
Monday / 4 / 16
Tuesday / 7 / 28
Wednesday / 3 / 12

Rule:______

Equation: y= ______

How many t-shirts can he make from one package (box)?

2.) Miss Alexander bought a few bags of marbles to use with her students. The table below shows the number of Bags she bought with the marbles included in the bags.

Bags / Marbles
1 / 12
4 / 48
3 / ?

Rule: ______

Equation: y= ______

Following the pattern in this table, how many marbles would Miss Alexander have if she used 3 bags?

3.)The table below shows the number of bags of oatmeal to make dog bones.

Bags of Oatmeal / Dog Bones
6 / 3
12 / 6
18 / ?
24 / 12

Rule: ______

Equation: y= ______

What is the total number of dog bones that could be made from 18 bags of oatmeal?