chapter 1 fractions our goals: i will learn how to write equivalent fractions using equivalent forms...
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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.
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What is a prime number?
A whole number
that can only be
divided evenly by
itself or one.
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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.
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Cross off the number 1.
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Circle the number 2, it is our first prime number.
Cross out every even number after 2 because they are all divisible by 2.
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Circle the number 3, it is our next prime number.
Cross out every third number because they are all divisible by 3.
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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.
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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
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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
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Determining GCF by using prime factors.
Hint: Use your Prime Number Chart
Workbook page 13.
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Workbook Page 13
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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
50 20
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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