chapter 2 fractions part 1. day….. 1 – gcf and lcm 2 – adding and subtracting fractions 3...

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Chapter 2 Fractions Part 1

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Page 1: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Chapter 2Fractions

Part 1

Page 2: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Day…..1 – GCF and LCM2 – Adding and Subtracting Fractions3 –Multiplying Fractions4 – Multiplying Fractions5- Review and Reflect

Page 3: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Day 1

Page 4: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Bell Work

Vocabulary List

Page 5: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Simplest Form-

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

a fraction who’s numerator 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)

Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1

Prime Number- a number who's factors are only 1 and it’s self

Multiple- The product of a number and any whole number (Think: skip counting)

Least Common Multiple- The smallest multiple of two or more numbers

Factors- two or more numbers multiplied to form a product

Page 6: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

I Can….

Determine the GCF and LCM for a given

number set.

Page 7: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Greatest Common FactorEssential Understanding: • To determine the greatest common factor of any number

set, compare the prime factorization of each number in the given set.

• Think: Factor Tree

Example: What is the greatest common factor for the given set. 12, 42, 72, 90

• Quick Check: Page- 11 Questions- b, c, and d

Page 8: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Least Common MultipleEssential Understanding: • There are two ways to determine the LCM of any given number

set.1) Create a list of multiples for each number given.

Example:

2) Multiply the prime factors of each number. (each factor is used once)

Example:

• Think: Skip Counting

• Quick Check: Page- 11 Questions- e, f, and g

Page 9: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Whole Class GameThe Final Countdown

Directions:• Students will be divided into 6 groups.• One player from each group will compete to

against other players to determine the GCF or LCM for a given number set.

• The first player with the correct answer will be be rewarded 1 point for that round.

• The team with the most points at the end of the game wins!

Page 10: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Wrap it Up

• Review

• Questions

• Station Work

Page 11: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Day 2

Page 12: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Simplest Form-

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

a fraction who’s numerator 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)

Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1

Prime Number- a number who's factors are only 1 and it’s self

Multiple- The product of a number and any whole number (Think: skip counting)

Least Common Multiple- The smallest multiple of two or more numbers

Factors- two or more numbers multiplied to form a product

Page 13: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Bell WorkScarlett planted rose bushes around her porch. She measured the growth on the plants each week for 4 weeks. The results are shown in the table below.

1) How tall was Scarlett’s plant after 2 weeks? After 3 weeks? After 4 weeks?

2) Suppose Scarlett’s porch is only 3’ tall. How much more can the plants grow before they will need to be trimmed?

Week Plant Height1 4 ½ inches2 3 ¼ inches3 6 ¾ inches4 5 inches

Page 14: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

I Can….

add and subtract fractions.

Page 15: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Add and Subtract Fractions

Essential Understanding: To find the sum or difference of fractions, you must first identify a common denominator. Remember to scale both fractions up or down until you reach the LCM. Once all fractions have a common denominator, you can simply add or subtract the numerators (the denominator will stay the same). Simplify when possible.

Examples:

• Quick Check: Page 14 Questions- a, b, c, and d

Page 16: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Explore Group Work Activities

1) Fraction War

Page 17: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Wrap it Up

• Review

• Questions

• Station Work

Page 18: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Day 3

Page 19: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Bell WorkKelly makes $80 a week babysitting. Each week she

deposits of her earnings into a savings account. How

much money does she put into the account each week?

Justify your answer.Kelly is saving her money to buy a prom dress. The dress she has picked out will cost her $400. She estimates she will have enough money, after 6 weeks of saving. Is she correct? Why or Why not?

How many weeks will she need to save, before she can purchase the dress?

Page 20: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Simplest Form-

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

a fraction who’s numerator 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)

Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1

Prime Number- a number who's factors are only 1 and it’s self

Multiple- The product of a number and any whole number (Think: skip counting)

Least Common Multiple- The smallest multiple of two or more numbers

Factors- two or more numbers multiplied to form a product

Page 21: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

I Can….

Multiply fractions.

Page 22: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

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 23: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

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 24: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

ExploreWork Activities

1) Brains and Hands

Page 25: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Wrap it Up

• Review

• Questions

• Station Work

Page 26: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Day 4

Page 27: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Bell WorkThere are 150 students in the band and 90 students in

the chorus. ½ of the band members and 4/5 of the

chorus members participated in a charity concert.

1) Which group hand more participates?

2) How many more?

Let’s change this problem:

How many members would the chorus need to have

more participants than the band?

Page 28: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Simplest Form-

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

a fraction who’s numerator 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)

Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1

Prime Number- a number who's factors are only 1 and it’s self

Multiple- The product of a number and any whole number (Think: skip counting)

Least Common Multiple- The smallest multiple of two or more numbers

Factors- two or more numbers multiplied to form a product

Page 29: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

I Can….

Multiply fractions by mixed numbers.

Page 30: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

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 31: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Day 5

Page 32: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Bell Work

Silent Study

Page 33: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

VocabularyDenominator-

Fraction-

Equivalent-

Greatest Common Factor-

Improper Fraction-

Mixed Number-

Numerator-

Product-

Simplest Form-

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

a fraction who’s numerator 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)

Scaling- to increase or decrease a ratio a fraction in which the GCF of the numerator and denominator is 1

Prime Number- a number who's factors are only 1 and it’s self

Multiple- The product of a number and any whole number (Think: skip counting)

Least Common Multiple- The smallest multiple of two or more numbers

Factors- two or more numbers multiplied to form a product

Page 34: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

I Can….

Show what I know.

Page 35: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Quiz

Please clear your desk of everything except a pencil.

Page 36: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

ExploreIndividual Work Activity

Create a story problem project

Page 37: Chapter 2 Fractions Part 1. Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and

Wrap it Up

• Review

• Questions

• Station Work