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Chapter 2 Fractions Day….. 1. Multiplying and dividing fractions by whole numbers, mixed numbers and fractions. 2. Using models to solve problems involving the multiplication and division of fractions 3. Solving real world problems involving the multiplication and division of fractions 4. Exploring Fractions 5. Review Day 1 Bell Work Mary'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. b) How much will Mary make the twelfth month using her dad's idea? How did you find this number? c) Which deal is better, Mary's or her Dad's? By how much? d) How much will Mary make in a year if she does what her dad wants? Show your work. I Can…. Multiply and Divide Fractions. 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 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 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 Wrap it Up • Review • Questions • Exit Tickets Day 2 Bell Work 2 3 Nathan is baking cookies and the recipe calls for 3 cups of water. He needs to make 1 whole batch and 1 1 only of another batch, for a total of 1 batches. How 2 2 much water will Nathan need to bake the cookies? Draw a diagram to show how much water will be needed. I Can…. • Create story context for equations involving the multiplication and division of fractions ~And~ • Use a visual fraction model to show my work. Vocabulary • • • • • • No 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 Watch This • http://learnzillion.com/lessons/212-multiplyfractions-by-whole-numbers-using-bar-models • http://learnzillion.com/lessons/199-dividewhole-numbers-by-unit-fractions-using-visualmodels • http://learnzillion.com/lessons/1383-solveword-problems-involving-division-of-mixednumbers-and-fractions-using-picture-models 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 1) 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. I Can…. Can look at my answer to check that I answered what was asked and see if my answer makes sense Vocabulary • • • • • • No 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 Watch This • http://learnzillion.com/lessons/1323-solvedivision-of-fractions-problems-usingreciprocals Presentation of Story Context Wrap it Up • Review • Questions • Exit Tickets Day 4 Bell Work Create a story problem for 6÷¼= Illustrate the solution Vocabulary • • • • • • No 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 I Can…. solve problems involving the addition, subtraction, multiplication, and division of mixed numbers Explore Lab Rotations 1-8 You will have 15 minutes to complete 4 stations. Wrap it Up • Review • Questions • Exit Tickets Day 5 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? I Can…. Fluently multiply and divide fractions. Vocabulary • • • • • • No 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 Let’s Review Please Take out your Study Guide Wrap it Up • Review • Questions • Quiz Converting Numbers • Fractions to Decimals to Percent