chapter 2 fractions. day….. 1.multiplying and dividing fractions by whole numbers, mixed numbers...

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Chapter 2 Fractions

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Page 1: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Chapter 2

Fractions

Page 2: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Day…..1. Multiplying and dividing fractions by w

hole numbers, mixed numbers and fractions.

2. Using models to solve p

roblems involving the multiplication and divi

sion of fractions

3. Solving real world p

roblems involving the multiplication and divi

sion of fractions

4. Exploring Fractions

5. Review

Page 3: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Day 1

Page 4: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Bell WorkMary's dad says that he will give her an allowance of $2 the first month,

$4 the second month, $8 the third month, and so on. Mary knows that

her dad is using a base of 2. Mary doesn't think that this is a good deal.

She thinks $50 a month is a better deal. How much will she make in a

year if she does it her way.

Show your work.

d) How much will Mary make in a year if she does what her dad wants? Show your work.

c) Which deal is better, Mary's or her Dad's? By how much?

b) How much will Mary make the twelfth month using her dad's idea? How did you find this number?

Page 5: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

I Can….

Multiply and Divide Fractions.

Page 6: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Vocabulary• 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• Reciprocal – two numbers with a product of 1• Simplest Form- a fraction in which the GCF of the

numerator and denominator is 1

Page 7: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Multiplying Fractions

Essential Understanding: • To multiply a fraction by a fraction, you simply

multiply the numerators, then the denominators. • To multiply a fraction by a whole number or a mixed

number, you must first change the number to an improper fraction. Then, multiply the numerators and the denominators.

Write each product in simplest form.

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

Page 8: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Dividing Fractions

Essential Understanding: • To divide a fraction by a fraction, simply flip the

second fraction and multiply. • To divide a fraction by a whole number or a mixed

number, change the number to an improper fraction. Then, flip the second fraction and multiply.

• Quick Check: Complete problems on page

Page 9: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 10: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Day 2

Page 11: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Bell Work

Nathan is baking cookies and the recipe calls for 3 cups of water. He needs to make 1 whole batch and only of another batch, for a total of 1 batches. How much water will Nathan need to bake the cookies?

Draw a diagram to show how much water will be needed.

Page 12: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

I Can….

• Create story context for equations involving the multiplication and division of fractions

~And~• Use a visual fraction model to show

my work.

Page 13: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

VocabularyNo New Vocabulary

• 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

• Reciprocal – two numbers with a product of 1• Simplest Form- a fraction in which the GCF of the numerator and

denominator is 1

Page 15: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Explore Group Work Activity

• You will be given a recipe. • Your job is to create , model, and solve 2 story problems

using your recipe. (1 multiplication and 1 division)• Be sure you check your work with a calculator!!!• We will use these problems in class tomorrow, be ready

to share.

Page 16: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 17: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Day 3

Page 18: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Bell Work1) Hakeem’s front porch measures 9 3/4 feet by 4 feet.

Estimate the area of his front porch.

Justify your answer.(Hint: Area = Length x Width)

2) Leslie spread organic fertilizer on 4/5 of her flower pots to

test how much they would grow. If she has 25 flower pots,

how many did she spread fertilizer on?

Justify your answer.

Page 19: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

I Can….

Can look at my answer to check that I answered

what was asked and see if my answer makes sense

Page 20: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

VocabularyNo New Vocabulary

• 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

• Reciprocal – two numbers with a product of 1• Simplest Form- a fraction in which the GCF of the numerator and

denominator is 1

Page 22: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Presentation of Story Context

Page 23: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 24: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Day 4

Page 25: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Bell Work

Create a story problem for

6 ÷ ¼ =

Illustrate the solution

Page 26: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

VocabularyNo New Vocabulary

• 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

• Reciprocal – two numbers with a product of 1• Simplest Form- a fraction in which the GCF of the numerator and

denominator is 1

Page 27: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

I Can….

solve problems involving the addition, subtraction,

multiplication, and division of mixed

numbers

Page 28: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Explore

Lab Rotations

1-8

You will have 15 minutes to complete 4 stations.

Page 29: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 30: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Day 5

Page 31: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Bell Work

Sandy wants to split one-half of a pan of

brownies between herself and three

friends. How much of the pan of brownies

will each person get?

Page 32: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

I Can….

Fluently multiply and divide fractions.

Page 33: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

VocabularyNo New Vocabulary

• 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

• Reciprocal – two numbers with a product of 1• Simplest Form- a fraction in which the GCF of the numerator and

denominator is 1

Page 34: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Let’s Review

PleaseTake out your

Study Guide

Page 35: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Wrap it Up

• Review

• Questions

• Quiz

Page 36: Chapter 2 Fractions. Day….. 1.Multiplying and dividing fractions by whole numbers, mixed numbers and fractions.Multiplying and dividing fractions by whole

Converting Numbers

• Fractions to Decimals to Percent