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Chapter 2 Fractions Part 1 Day….. 1 – GCF and LCM 2 – Adding and Subtracting Fractions 3 –Multiplying Fractions 4 – Multiplying Fractions 5- Review and Reflect Day 1 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 Factors- two or more numbers multiplied to form a product Greatest Common Factor- the greatest of the common factors of two or more numbers Improper Fraction- a fraction who’s numerator greater than or equal to the denominator Least Common Multiple- The smallest multiple of two or more numbers Mixed Number- a number that has a whole number part and a fraction part Multiple- The product of a number and any whole number (Think: skip counting) Numerator- the top number of a fraction (the part) Prime Number- a number who's factors are only 1 and it’s self Product- the answer to a multiplication equation Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 Today's Standard Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2). Greatest Common Factor Essential Understanding: • To determine the greatest common factor of any number set, compare the prime factorization of each number in the given set. • Think: Rainbow Factors Example: What is the greatest common factor for the given set. 12, 42, 72, 90 Least Common Multiple Essential 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 Game Time Face Off Directions: • Students will be divided into 6 groups. • Each round, one player from each group will race determine the GCF or LCM for a given set of numbers. • The first player with the correct response will receive 10 points, for their team. • The team with the most points wins! Wrap it Up • Review • Questions • Pack Up Day 2 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 Factors- two or more numbers multiplied to form a product Greatest Common Factor- the greatest of the common factors of two or more numbers Improper Fraction- a fraction who’s numerator greater than or equal to the denominator Least Common Multiple- The smallest multiple of two or more numbers Mixed Number- a number that has a whole number part and a fraction part Multiple- The product of a number and any whole number (Think: skip counting) Numerator- the top number of a fraction (the part) Prime Number- a number who's factors are only 1 and it’s self Product- the answer to a multiplication equation Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 Bell Work Scarlett 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. Week Plant Growth 1 4 ½ inches 2 3 ¼ inches 3 6 ¾ inches 4 5 inches 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? Today's Standard Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2). Add and Subtract Fractions Essential Understandings: • To find the sum or difference of fractions, they must have a common denominator. • Remember: Fractions are ratios, and ratios can be scaled up or down. • To add or subtract, you will need to scale both fractions up or down until you reach their LCM (common denominator). • Once all fractions have a common denominator, you simply add or subtract the numerators (the denominator will stay the same). • Answers should be simplified when possible. Examples: Math Time Technology: Check Google Classroom for the Link Independent: Complete the Provided Page My Choice: Check Out What’s New! Extension: New options have been posted. Wrap it Up • Review • Questions • Pack Up Day 3 Bell Work 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? 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 Factors- two or more numbers multiplied to form a product Greatest Common Factor- the greatest of the common factors of two or more numbers Improper Fraction- a fraction who’s numerator greater than or equal to the denominator Least Common Multiple- The smallest multiple of two or more numbers Mixed Number- a number that has a whole number part and a fraction part Multiple- The product of a number and any whole number (Think: skip counting) Numerator- the top number of a fraction (the part) Prime Number- a number who's factors are only 1 and it’s self Product- the answer to a multiplication equation Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 Today’s Standard Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi? Multiplying Fractions Essential Understanding: To multiply a fraction by another fraction, simply… 1.multiply numerator by numerator 2.then multiply denominator by denominator *Think: Straight Across. Examples: Scale the product down to its simplest form when possible. Examples: Multiplying Fractions and Whole Numbers Essential Understanding: To multiply a fraction by a whole number, you simply… 1.Begin by converting the whole number to an improper fraction. This can be done by placing a 1 as it’s denominator. 2.Then multiply numerator by numerator and denominator by denominator *Think: Straight Across. 3. Simplify when possible. Examples: Game Time Fraction War Build a Monster Directions: • First, both players will flip over 4 cards at the same time. Please deskinof except • Then, you clear can useyour the card, anyeverything order, to create two fractions. for a dry erase marker and board. • Next, players must multiply their two fractions. • Finally, simplify your products and compare. • The player with the largest product wins that round. Wrap it Up • Review • Questions • Pack Up Day 4 Bell Work There 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? 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 Factors- two or more numbers multiplied to form a product Greatest Common Factor- the greatest of the common factors of two or more numbers Improper Fraction- a fraction who’s numerator greater than or equal to the denominator Least Common Multiple- The smallest multiple of two or more numbers Mixed Number- a number that has a whole number part and a fraction part Multiple- The product of a number and any whole number (Think: skip counting) Numerator- the top number of a fraction (the part) Prime Number- a number who's factors are only 1 and it’s self Product- the answer to a multiplication equation Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 Today's Standard Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi? Multiplying Fractions and Mixed Numbers Essential Understanding: To find the product of fractions and mixed number.. • 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. Example: • Next simply multiply numerator by numerator and denominator by denominator. • Finally, simplify when possible. Example: Math Time Technology: Check Google Classroom for the Link Independent: Green Book Page 11 # 1-9 (odd only) My Choice: Try Something New! Extension: Options have been posted. Wrap it Up • Review • Questions • Pack Up Day 5 Quick Quiz Clear your desk of everything except for a pencil and a piece of scratch paper. 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 Factors- two or more numbers multiplied to form a product Greatest Common Factor- the greatest of the common factors of two or more numbers Improper Fraction- a fraction who’s numerator greater than or equal to the denominator Least Common Multiple- The smallest multiple of two or more numbers Mixed Number- a number that has a whole number part and a fraction part Multiple- The product of a number and any whole number (Think: skip counting) Numerator- the top number of a fraction (the part) Prime Number- a number who's factors are only 1 and it’s self Product- the answer to a multiplication equation Scaling- to increase or decrease a ratio Simplest Form- a fraction in which the GCF of the numerator and denominator is 1 Today's Standard Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi? Partner Practice Complete: Textbook Page 116 Wrap it Up • Review • Questions • Station Work