Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms...

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Chapter 1 Fractions Our Goals: •I will learn how to write equivalent fractions using equivalent forms of one. •I will learn how to find the greatest common factor of two or more numbers. •I will learn how to write fractions in simplest form. •I will learn how to compare and order fractions and find their approximate locations on a number line.

Transcript of Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms...

Page 1: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Chapter 1Fractions

Our Goals:

•I will learn how to write equivalent fractions using equivalent forms of one.•I will learn how to find the greatest common factor of two or more numbers.•I will learn how to write fractions in simplest form.•I will learn how to compare and order fractions and find their approximate locations on a number line.

Page 2: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

What is a prime number?

A whole number

that can only be

divided evenly by

itself or one.

Page 3: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Sieve of EratosthenesThe Sieve of Eratosthenes is a chart that can help us easily identify prime numbers.

Eratosthenes was a Greek scientific writer, astronomer and poet.

He was born in 276 BC and died in 194.

Page 4: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Cross off the number 1.

Page 5: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Circle the number 2, it is our first prime number.

Cross out every even number after 2 because they are all divisible by 2.

Page 6: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Circle the number 3, it is our next prime number.

Cross out every third number because they are all divisible by 3.

Page 7: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Circle the number 5, it is our next prime number.

Cross out every number divisible by 5.

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Circle the number 7, it is our next prime number.

Cross out every number divisible by 7.

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Circle the remaining numbers, they are all prime.

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What is prime factorization?

Finding the prime

numbers that are

factors of the

given number.

Page 12: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

What does the term greatest common factor mean?

The greatest

factor that two

numbers have in

common.

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Determining GCF by listing Factor Pairs

List all of the factor pairs.

Workbook page 12.

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Workbook Page 12

Page 15: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Determining GCF by making a list

List all of the factor in order from least to greatest.

Workbook page 12.

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Workbook Page 12

Page 17: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Determining GCF by using prime factors.

Hint: Use your Prime Number Chart

Workbook page 13.

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Workbook Page 13

Page 19: Chapter 1 Fractions Our Goals: I will learn how to write equivalent fractions using equivalent forms of one. I will learn how to find the greatest common.

Finding the GCF with Factor Trees

4th Multiply the common factors to get the GCF

1st Draw the factor trees for both numbers

2nd Underline all the common prime factors

3rd List the common factors

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Cynthia found the least common multiple.She is incorrect.Irena found the greatest common factor.She is correct.

Oliver found a common factor.He did not find the GREATEST common factor.He is incorrect.

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Work on exercises 12-30 on your own or with a partner.

SHOW WHAT YOU KNOW!

*You will need scrap paper

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Progress Check 1Reviews Lessons 1-1 and Lessons 1-2