Chapter 2 Fractions Part 2 Day….. 1 – Multiplying Fractions by Fractions 2 –Multiplying Fractions by Whole Numbers 3 –Multiplying Fractions by Mixed Numbers 4 – Fractions in Story Problems 5 - Review Day 1 Bell Work Juanyra, Hannah, and Bella went out for pizza. 1 3 2 6 Juanyra ate of the pizza, Hannah ate of the 1 4 pizza, and Bella ate of the pizza. How much did they eat altogether? Illustrate and justify your answer. Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same 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 Numerator- the top number of a fraction (the part) Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 I Can…. Multiply fractions by fractions. 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 Wrap it Up • Review • Questions • Station Work Day 2 Bell Work Print Out Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same 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 Numerator- the top number of a fraction (the part) Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 I Can…. Multiply fractions and whole numbers. 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 Explore Group Work Activities 1) Pizza Task Rotations You will have 30 minutes to complete as many rotations as possible. Wrap it Up • Review • Questions • Station Work Day 3 Bell Work Print Out Illustrate and justify your answer. Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same 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 Numerator- the top number of a fraction (the part) Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 I Can…. Multiply fractions and mixed numbers. 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 Explore Group Work Activities 1) Recipe Task You will have 30 minutes to complete this task. Wrap it Up • Review • Questions • Station Work Day 4 Bell Work A waffle recipe calls for 2 ¼ cups of flour. If Chun wants to make 1 ½ times the recipe, how much flour does he need? Illustrate and justify your answer. Assess Quick Quiz Vocabulary • • • • Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same 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 Numerator- the top number of a fraction (the part) Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) • Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 • I Can…… Solve multiplication story problems involving fractions. Story Problems Essential Understanding: Sometimes fractions are presented in number form ( ½ ). Sometimes they are given in word form (three fourths) But, sometimes they are hidden in the wording. For example, the phrase “out of” signifies a part to whole relationship. Three “out of” four dentist recommend trident. When solving story problems we look for key phrases we can use to identify the proper operation. This remains true for story problems involving fractions. For Example: “Howard spent 3/5 of his allowance.” Many times a fraction followed by the word of tells us to multiply. Day 5 Enjoy the Youth Fair!!!! No School Slides Not Used Bell Work Howard went shopping over the weekend with his allowance of $35. He spent 3/5 of his allowance on a video game. How much did he pay for the game? Justify your answer. Vocabulary Denominator- the bottom number of a fraction (the whole) Equivalent- equal or the same 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 Numerator- the top number of a fraction (the part) Product- the answer to a multiplication equation Quotient- the answer to a division equation Reciprocal – two numbers with a product of 1 (flipped upside down) Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 I Can…… Estimate the product of fractions using compatible numbers and rounding. Let’s Review Please Take out your Study Guide Let’s Review Rounding Fractions: Think: “Is the fraction closer to 0, ½, or 1” If the numerator is almost as big as the denominator round up to the next whole number. If the numerator is much smaller than the denominator, round down to the closest whole number. • Quick Check: Complete problems 1-6 on page 88 • Self Check # 3 Estimating Fractions Essential Understanding: When estimating the product of fractions and whole numbers, use compatible numbers or rounding. • Quick Check: Complete problems a-f on page 92-93 • Self Check # 4 Wrap it Up • Review • Questions • End of Unit Test