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Chapter 2 Fractions Part 2
38

Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Dec 24, 2015

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Valerie Bryant
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Page 1: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Chapter 2

FractionsPart 2

Page 2: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Day…..

1 – Multiplying Fractions by Fractions

2 –Multiplying Fractions by Whole Numbers

3 –Multiplying Fractions by Mixed Numbers

4 – Fractions in Story Problems

5 - Review

Page 3: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Day 1

Page 4: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Bell Work

Juanyra, Hannah, and Bella went out for pizza.

Juanyra ate of the pizza, Hannah ate of the

pizza, and Bella ate of the pizza. How much did

they eat altogether?

Illustrate and justify your answer.

Page 5: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Quotient-

Reciprocal –

Simplest Form-

a number that has a whole number part and a fraction part

a fraction with a numerator that is greater than or equal to the denominator

the greatest of the common factors of two or more numbers

a number that represents part of a whole or part of a set

the bottom number of a fraction (the whole)

equal or the same

the answer to a multiplication equation

the top number of a fraction (the part)

the answer to a division equation

two numbers with a product of 1 (flipped upside down)

Scaling- to increase or decrease a ratio

a fraction in which the GCF of the numerator and denominator is 1

Page 6: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

I Can….

Multiply fractions by fractions.

Page 7: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Multiplying Fractions

Essential Understanding: To multiply fractions by fractions, you simply multiply numerator by numerator, then denominator by denominator (straight across).Write the product in simplest form.

Examples:

• Quick Check: Complete problems 1-6 on page 104

Page 8: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Wrap it Up

• Review

• Questions

• Station Work

Page 9: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Day 2

Page 10: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Bell Work

Print Out

Page 11: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Quotient-

Reciprocal –

Simplest Form-

a number that has a whole number part and a fraction part

a fraction with a numerator that is greater than or equal to the denominator

the greatest of the common factors of two or more numbers

a number that represents part of a whole or part of a set

the bottom number of a fraction (the whole)

equal or the same

the answer to a multiplication equation

the top number of a fraction (the part)

the answer to a division equation

two numbers with a product of 1 (flipped upside down)

Scaling- to increase or decrease a ratio

a fraction in which the GCF of the numerator and denominator is 1

Page 12: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

I Can….

Multiply fractions and whole numbers.

Page 13: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Multiplying Fractions and Whole Numbers

Essential Understanding: To multiply a fraction by a whole number, begin by converting the whole number to an improper fraction by placing a 1 as it’s denominator. Then simply multiply numerator by numerator and denominator by denominator (straight across). Write the product in simplest form.

Examples:

• Quick Check: Complete problems a-g on page 98-99

Page 14: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Explore Group Work Activities1) Pizza Task Rotations

You will have 30 minutes to complete as many rotations as possible.

Page 15: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Wrap it Up

• Review

• Questions

• Station Work

Page 16: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Day 3

Page 17: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Bell Work

Print Out

Illustrate and justify your answer.

Page 18: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Quotient-

Reciprocal –

Simplest Form-

a number that has a whole number part and a fraction part

a fraction with a numerator that is greater than or equal to the denominator

the greatest of the common factors of two or more numbers

a number that represents part of a whole or part of a set

the bottom number of a fraction (the whole)

equal or the same

the answer to a multiplication equation

the top number of a fraction (the part)

the answer to a division equation

two numbers with a product of 1 (flipped upside down)

Scaling- to increase or decrease a ratio

a fraction in which the GCF of the numerator and denominator is 1

Page 19: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

I Can….

Multiply fractions and mixed numbers.

Page 20: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Multiplying Fractions and Mixed Numbers

Essential Understanding: To find the product of fractions and mixed numbers, begin by converting the mixed number to and improper fraction. This is done by adding the numerator to the product of the denominator and whole number. (leave room for example).

Example:

Next simply multiple numerator by numerator and denominator by denominator (straight across). Finally write the product in simplest form.

Example:

• Quick Check: Complete problems 8-13 on page 114

Page 21: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Explore Group Work Activities

1) Recipe TaskYou will have 30 minutes to complete this task.

Page 22: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Wrap it Up

• Review

• Questions

• Station Work

Page 23: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Day 4

Page 24: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Bell Work

A waffle recipe calls for 2 ¼ cups of flour. If

Chun wants to make 1 ½ times the recipe,

how much flour does he need?

Illustrate and justify your answer.

Page 25: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Assess

Quick Quiz

Page 26: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Vocabulary• Denominator- the bottom number of a fraction (the whole)

• Equivalent- equal or the same

• Fraction- a number that represents part of a whole or part of a set

• Greatest Common Factor- the greatest of the common factors of two or more numbers

• Improper Fraction- a fraction with a numerator that is greater than or equal to the denominator

• Mixed Number- a number that has a whole number part and a fraction part

• Numerator- the top number of a fraction (the part)

• Product- the answer to a multiplication equation

• Quotient- the answer to a division equation

• Reciprocal – two numbers with a product of 1 (flipped upside down)• Scaling- to increase or decrease a ratio

• Simplest Form- a fraction in which the GCF of the numerator and denominator is 1

Page 27: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

I Can……

Solve multiplication

story problems involving

fractions.

Page 28: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Story ProblemsEssential Understanding: Sometimes fractions are presented in number form ( ½ ). Sometimes they are given in word form (three fourths) But, sometimes they are hidden in the wording. For example, the phrase “out of” signifies a part to whole relationship. Three “out of” four dentist recommend trident.

When solving story problems we look for key phrases we can use to identify the proper operation. This remains true for story problems involving fractions.

For Example: “Howard spent 3/5 of his allowance.” Many times a fraction followed by the word of tells us to multiply.

Page 29: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Day 5

Page 30: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Enjoy the Youth Fair!!!!

No School

Page 31: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Slides Not Used

Page 32: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Bell Work

Howard went shopping over the weekend

with his allowance of $35. He spent 3/5 of

his allowance on a video game. How much

did he pay for the game?

Justify your answer.

Page 33: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Quotient-

Reciprocal –

Simplest Form-

a number that has a whole number part and a fraction part

a fraction with a numerator that is greater than or equal to the denominator

the greatest of the common factors of two or more numbers

a number that represents part of a whole or part of a set

the bottom number of a fraction (the whole)

equal or the same

the answer to a multiplication equation

the top number of a fraction (the part)

the answer to a division equation

two numbers with a product of 1 (flipped upside down)

Scaling- to increase or decrease a ratio

a fraction in which the GCF of the numerator and denominator is 1

Page 34: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

I Can……

Estimate the product of

fractions using

compatible numbers and

rounding.

Page 35: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Let’s Review

PleaseTake out your

Study Guide

Page 36: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Let’s Review

Rounding Fractions: Think: “Is the fraction closer to 0, ½, or 1” If the numerator is almost as big as the denominator round up to the next whole number. If the numerator is much smaller than the denominator, round down to the closest whole number.

• Quick Check: Complete problems 1-6 on page 88• Self Check # 3

Page 37: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Estimating Fractions

Essential Understanding: When estimating the product of fractions and whole numbers, use compatible numbers or rounding.

• Quick Check: Complete problems a-f on page 92-93• Self Check # 4

Page 38: Chapter 2 Fractions Part 2. Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed.

Wrap it Up

• Review

• Questions

• End of Unit Test