Chapter 2 Fractions Part 2. Day….. 1.Dividing fractions by fractions, whole numbers, and mixed...

Chapter 2

FractionsPart 2

Day…..1. Dividing f

ractions by fractions, whole numbers, and mixed

numbers .

2. Creating real world p

roblems involving the multiplication and division

of fractions

3. Using models to solve problems involving the mu

ltiplication and division of

fractions

4. Exploring Fractions

5. End of Unit Assessment

Day 1

Bell Work

Hakeem’s front porch measures

9 3/4 feet by 4 feet.

Estimate the area of his front porch.

Justify and illustrate your solution path.(Hint: Area = Length x Width)

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

Multiplying Fractions(Review)

Essential Understanding: •To multiply a fraction by a fraction, you simply multiply the numerator by numerator, then the denominator by denominator. •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 then the denominators.

•Write each product in simplest form.

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

I Can….

Divide Fractions.

Dividing FractionsEssential Understanding: •To divide a fraction by a fraction, begin by finding the reciprocal of the divisor (flip the second fraction). Then simply multiply numerator by numerator and denominator by denominator. In other word, Keep Change Flip

Examples:

•To divide a fraction by a whole number or a mixed number, begin by changing the numbers to improper fractions before following the procedure for dividing fractions. In other words …… Keep Change FlipExamples:

Quick Check: Complete problems ___ on page ____

Watch This• http://

learnzillion.com/lessons/1323-solve-division-of-fractions-problems-using-reciprocals

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 2

Bell Work

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

I Can….

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

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.

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 3

Bell Work

Create a story problem for

6 ÷ ¼ =

Illustrate the solution

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

I Can….

Use models to represent fractions and fraction

equations.

Watch This• http://learnzillion.com/lessons/212-multiply-f

ractions-by-whole-numbers-using-bar-models• http://learnzillion.com/lessons/199-divide-

whole-numbers-by-unit-fractions-using-visual-models

• http://learnzillion.com/lessons/1383-solve-word-problems-involving-division-of-mixed-numbers-and-fractions-using-picture-models

Fraction Models

Essential Understandings:•Fractions can be modeled by using a single figure to represent part of a whole.Example:

orBy using multiple figures to represent part of a set.Example:

Modeling Fraction EquationsEssential Understandings:Fractions equation models can be used to solve •Addition Equations Example:

•Subtraction EquationsExample:

•Multiplication Equations Example:

•Division EquationsExample:

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 4

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?

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

I Can….

solve problems involving the addition, subtraction,

multiplication, and division of mixed

numbers

Chapter Review

Explore

Lab Rotations

1-8

You will have 15 minutes to complete 4 stations.

Wrap it Up

• Review

• Questions

• Exit Tickets

Day 5

Silent Review

Look over your Chapter Review.Your Exam will

begin in 10 minutes.

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

I Can….

Fluently multiply and divide fractions by

fractions, whole numbers, and mixed

numbers.

Wrap it Up

• Review

• Questions

• Quiz