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This lesson teaches students how to find the GCF of numbers, multiply fractions and mixed numbers, express distances as improper fractions, and solve problems involving multiplication of positive fractions. Vocabulary and step-by-step instructions are provided to aid understanding.
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Bell Work • Find the GCF of the numbers • 18, 24 • 12, 36 • Shane bicycled 3 5/6 miles. Express the distance as an improper fraction.
Answers • Find the GCF of the numbers • 18, 24 = 6 • 12, 36 =12 • Shane bicycled 3 5/6 miles. Express the distance as an improper fraction. • 23/6
Objectives • Students will be able to multiply fractions and mixed numbers with 80% accuracy. • Essential Question- How do you multiply two mixed numbers? • NS 2.1- Students will solve problems involving multiplication of positive fractions and explain why a particular operation was used.
Vocabulary • GCF- • Mixed number- • Improper fraction-
Vocabulary • GCF- this is used to help us simplify a fraction. We must divide the numerator and denominator by the GCF. • Mixed number- this is when we have a whole number and a fraction. • Improper fraction- this is when we have a fraction that has a numerator larger than its denominator.
Multiplying Fractions • To solve these types of problems you will be applying standard NS 2.1- multiplying fractions to solve a problem. • Step 1- check to see if you can divide out common factors using the GCF. (cross cancel) • Step 2- multiply the numerator. • Step 3- multiply the denominator. • Step 4- simplify (write your answer in a mixed number if needed)
Don’t Forget • When multiplying a fraction and a whole number, the whole number is the numerator over 1. 18= 18/1 • Complete #’s 1-8, page 88-89 • 1) independently 8 min. • 2) partner (error analysis) 5 min. • 3) poll and review
Multiplying Mixed Numbers • ***Step 1- write the mixed numbers as improper fractions • Step 2- check to see if you can divide out common factors using the GCF. (cross cancel) • Step 2- multiply the numerator. • Step 3- multiply the denominator. • Step 4- simplify (write your answer in a mixed number if needed)
Complete #’s 9-12, page 90 • 1) independently 5 min. • 2) partner (error analysis) 5 min. • 3) poll and review
Closing the lesson What are the mistakes in problems 1 and 2? 3. Explain how to multiply two mixed numbers.
Exit Ticket • 2/5 X 45 • 5/8 X 6/25 • 5 ¼ X 1 3/7 • Find the product of 3/4 X 36. • A recipe calls for 1/4 cups of diced tomatoes. Mia is making three times the recipe. How many cups of diced tomatoes should she use?
Homework • Page 90 #’s 15-18 • Page 91 #’s 31-34 • Due Thursday