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Math lessons for the week of Jan 3-6 2012

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Math lessons for the week of Jan 3-6 2012

Mrs. Di Todd

5th grade

Group activity:

Show the common factors of 70 and 40:

70 40

Independent activity:

Create a Venn diagram of 70 and 40 to display common factors.

Number Riddle:

Clue 1: I am a common factor of 28 and 40.

Create factor trees for both numbers.

Clue 2: I am an even number.

Remove all odd numbers

Clue 3: I am not prime.

Remove all prime numbers

What is the number?

Group activity:

Solve each of the riddles below. For each one:

• Make a factor tree and list the factor pairs for each number.

• Find the factors shared by each number (their common factors).

• Use the other clues to find the answer to the riddle.

• Show your work.

1. I am a common factor of 27 and 45.

I am an odd number.

When you multiply me by 3, you get a number

greater than 10.

What number am I?

2. I am a common factor of 36 and 48.

I am also a factor of 30.

I am an even number.

I am divisible by 3.

What number am I?

3. I am a common factor of 60 and 100.

I am an even number greater than 4.

I am divisible by 4.

What number am I?

Independent activity:

Write your own factor riddle for a classmate that includes

- at least 3 clues. Be sure not to give the answer away before the third clue.
- Exchange papers with a classmate and see if you can solve each other’s riddles.
Hint: Start with the prime numbers and then multiply different combinations of

them to get starting numbers.

Finding Simplest Forms

Find the simplest form for 5/15 and 6/18.

Use your knowledge of prime and composite numbers.

There are 3 ways to find simplest forms:

1. Divide by common factors.

2. Find the GCF and divide by GCF.

3. Use a calculator. See text book page 316.

Math Idea: You can divide by using common factors until 1 is the only common factor, or you can divide by the GCF one time to write a fraction in simplest form.

GCF- greatest common factor

Group:

Tell whether the fraction is in simplest form:

- 2/62. 1/103. 8/204. 25/32
Name the GCF of the numerator and the denominator.

- 18/306. 8/247. 12/15 8. 50/100
Write each fraction in simplest form.

9. 4/1010. 12/3611. 24/3212. 8/20

Independent:

Explain how you would find the simplest form of

16/24 by using both the common factor method and the GCF method.

Adding and subtracting Fractions

- Khan Academy Video: Adding Fractions with Like Denominators
- Khan Academy Video: Subtracting Fractions
- Virtual Nerd Video: How Do You Add Fractions with the Same Denominator?
- Virtual Nerd Video: How Do You Subtract Mixed Numbers with the Same Denominator?

Group Activity:

Independent Activity:

http://qta.quantiles.com/m/resources/downloads/QuantileResource42017.pdf