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Review Factors – Multiples – Prime Numbers Learn Alberta http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&l esson=m6lessonshell07.swf Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators What is a common denominator? Definition -a common multiple of the fractions denominators Fraction Fraction 1/3 1/2 Or -Making equivalent fractions with the same denominator (common) Multiples of 3 Multiples of 2 Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators • What is a common denominator? Definition -a common multiple of the fractions denominators Fraction Fraction 2/5 3/4 Or -Making equivalent fractions with the same denominator (common) Multiples of 5 Multiples of 4 Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators • What is a common denominator? Definition -a common multiple of the fractions denominators Fraction Fraction 5/8 1/6 Or -Making equivalent fractions with the same denominator (common) Multiples of 8 Multiples of 6 Determine the “Equivalent Fraction” Student Outcome: I will be able to model and explain equivalent fractions • Which of the models below are examples of common denominators? Determine the “Equivalent Fraction” Student Outcome: I will be able to model and explain equivalent fractions • Which of the models below are examples of common denominators? Equivalent Fractions Equivalent Fractions http://www.learnalberta.ca/content/memg/index.html?term=Division03/Equivalent_Fr actions/index.html Modelling Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions • How can you make the fraction into more equal parts (a larger, but equal fraction) • Multiples: the product of a given number and a natural number like 1,2,3,... • Example: multiples of 2 are 4,6,8,10,... Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions • Make equivalent for the examples below. 1. 2. 1 = 3 = 6 = = 12 = 15 3 9 12 27 36 Fill in the correct numerator and denominator. One fraction is incorrect. Which one? Why? Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions • Make equivalent for the examples below. 1. 2. = = = = = Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions • Make equivalent for the examples below. 1. 4 5 = = = = 2. 2 3 = = = = Have you notice a pattern (rule) of equivalent fractions? Hint…denominators and numerators Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions Using Pattern Blocks make equivalent fractions for: 1 2 4 6 2 3 Homework Page 234-235: #7a, 8a, 10ab, 11, 12cd, 13ab, 16 Extend #19, 20, 21 Practical Quiz #1 Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. Multiples http://www.learnalberta.ca/content/memg/index.html?term=Division03/Multiple/index.html Common Multiples http://www.learnalberta.ca/content/memg/index.html?term=Division03/Common_Multiple/inde x.html Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. • You will be able to model and understand how to add fractions of different denominators 1 2 + 1 3 New Addition Fraction Statement How can you add the two fractions together if they are NOT equal sections (denominators)? Hint…find the lowest common multiple! Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. • You will be able to model and understand how to add fractions of different denominators 1 2 + 1 3 New Addition Fraction Statement 3 + 2 6 6 How can you add the two fractions together if they are NOT equal sections (denominators)? Hint…find the lowest common multiple! Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. • You will be able to model and understand how to add fractions of different denominators + New Addition Fraction Statement How can you add the two fractions together if they are NOT equal sections (denominators)? Hint…find the lowest common multiple! Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. • You will be able to model and understand how to add fractions of different denominators + New Addition Fraction Statement How can you add the two fractions together if they are NOT equal sections (denominators)? Hint…find the lowest common multiple! What have you NOTICED??? When adding fractions of different denominators the rules are… 1. 2. 3. Example 1 1 + 1 2 3 Example 2 Example 3 = 3 + 2 2 + 1 6 6 4 2 = 2 + 2 1 + 1 4 4 4 3 = 3 + 4 12 12 = 5 6 = 4 4 = 7 12 What have you NOTICED??? When adding fractions of different denominators the rules are… 1. Both denominators must be the same 2. Find the lowest common denominator (multiple) 3. The numerators are multiplied by the same # it’s denominator is multiplied by. Example 1 Example 2 Example 3 1 + 1 2 3 = 3 + 2 2 + 1 6 6 4 2 = 2 + 2 1 + 1 4 4 4 3 = 3 + 4 12 12 = 5 6 = 4 4 = 7 12 What have you NOTICED??? When adding fractions of different denominators the rules are… 1. Both denominators must be the same 2. Find the lowest common denominator (multiple) 3. The numerators are multiplied by the same # it’s denominator is multiplied by. Example 1 Example 2 Example 3 2 + 1 5 3 = = 1 + 2 4 6 = = 3 + 1 8 4 = = Write the Subtraction or Addition Statement a) _ b) + c) _ Write the Subtraction or Addition Statement a) b) c) Write the Subtraction or Addition Statement a) b) c) Homework Complete pages… Page 242-243 #4ab,5ab, 6ab, 8, 9bc, 10bc, 11bc, 13, 14, 15, 18a, 19a Extend #20, 21 Practical Quiz #2 On the front On the back Practical Quiz Solve the following by: 1. Drawing what it looks like using fractions strips 2. What are the new fractions (common denominators) 3 + 1 = 6 6 1 - 1 = 3 Mixed Numbers Learn Alberta – Mixed Numbers and Improper Fractions http://www.learnalberta.ca/content/mesg/html/math6web/index.html?pag e=lessons&lesson=m6lessonshell02.swf Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 1 3 = 6 9 6 How? Use pattern blocks to try and prove!!! How did you show this? Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 1 3 6 = 9 6 Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 3 1 = 2 7 2 Use pattern blocks to try and prove!!! How did you show this? Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 3 1 2 = 7 2 Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 2 2 3 = 8 3 Improper Fractions Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 23 = 6 18 = 5 Add Mixed Numbers Student Outcome: I will be able to add mixed numbers. 1 1+1 1 4 + 1 2 4 1 2 3 ++ + =2 4 4 4 What steps do you think need to be done in order to find the answer? Add Mixed Numbers Student Outcome: I will be able to add mixed numbers. 3 4 1 + 1 8 8 Steps: 1. Add the whole #’s 2. Find Lowest Common Denominators 3. Add the numerators 4. Place the fraction into lowest terms Add Mixed Numbers (with uncommon fractions) Student Outcome: I will be able to add mixed numbers. 2 1. 2. 3. 4. Steps Add the whole #’s Find Lowest Common Denominators Add the numerators Place the fraction into lowest terms 1 + 3 4 1 2 Add Mixed Numbers (with uncommon fractions) Student Outcome: I will be able to add mixed numbers. 2 1 + 3 4 1 2 Add Mixed Numbers Student Outcome: I will be able to model adding mixed numbers. 1. 2. 3. 4. Steps Add the whole #’s Find Lowest Common Denominators Add the numerators Place the fraction into lowest terms Add Mixed Numbers Student Outcome: I will be able to problem solve using mixed numbers. Xavier got a new job at Perkins. At the start of his shift he made 2 ½ chocolate pies for morning deserts. In the afternoon he made another 3 1/3 pies. How many pies did he make in all...show your work in both an illustration and in addition statements. Homework Complete pages… Page 249: # 4ab, 6ac, 8a, 10ef, 11ed, 13, 18 (Good Luck with this one…) Practical Quiz #3 On the front On the back Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 3 1 1 2 4 2+ 4 1 4 1= = 2 1 4 4 What steps do you think need to be done in order to find the answer? Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 5 1. 2. 3. 4. Steps Subtract the whole #’s Find Lowest Common Denominators Subtract the numerators Place the fraction into lowest terms 2 5 2 1 4 Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 How can you solve this problem? Hint - - Think of money Draw it out 1 4 1 2 4 Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 1. 2. 3. 4. Steps Subtract the whole #’s Find Lowest Common Denominators Subtract the numerators Place the fraction into lowest terms 1 4 1 2 4 “Cashing In” Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 1. 2. 3. 4. Steps Subtract the whole #’s Find Lowest Common Denominators Subtract the numerators Place the fraction into lowest terms 1 4 1 2 4 “Cashing In” Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 4 1. 2. 3. 4. Steps Subtract the whole #’s Find Lowest Common Denominators Subtract the numerators Place the fraction into lowest terms 1 3 1 2 3 “Cashing In” Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 1. 2. 3. 4. Steps Add the whole #’s Find Lowest Common Denominators Add the numerators Place the fraction into lowest terms Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. Subtracting Mixed Numbers Student Outcome: I will be able to problem solve using mixed numbers. In gym class Millz ran 3 3/4 laps. Taylor ran 27/12 laps. Who ran further and by how much? Show your work... Subtracting Improper Fractions Student Outcome: I will be able to subtract improper fractions. 17 4 8 4 Subtracting Improper Fractions Student Outcome: I will be able to subtract improper fractions. 17 4 8 4 Subtracting Improper Fractions Student Outcome: I will be able to subtract improper fractions. 7 2 - 8 4 Subtracting Improper Fractions Student Outcome: I will be able to subtract improper fractions. 7 = 14 2 4 - 8 4 Activity Let’s add and subtract mixed numbers Homework Complete pages… Page 257-258: # 3ac, 4c, 5ef, 6cd, 7c, 8b, 9f, 11, 16, 20