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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
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Activity Let’s add and subtract mixed numbers
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Videos Ways to Measure Day 1 http://www.youtube.com/watch?v=9caqSJ4sN8Y Day 2 http://www.youtube.com/watch?v=mKarbrOme_Y Day 3 http://www.youtube.com/watch?v=UUZ517r3PYk
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Activity Let’s Measure Objects Measure your shoe Measure your pencil Measure your textbook Measure you desk top
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Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators common denominator What is a common denominator? DefinitionFraction -a common multiple of the fractions denominators Or -Making equivalent fractions with the same denominator (common) 2/53/4 Multiples of 5Multiples of 4
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Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators common denominator What is a common denominator? DefinitionFraction -a common multiple of the fractions denominators Or -Making equivalent fractions with the same denominator (common) 1/31/2 Multiples of 3Multiples of 2
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Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators common denominator What is a common denominator? DefinitionFraction -a common multiple of the fractions denominators Or -Making equivalent fractions with the same denominator (common) 5/81/6 Multiples of 8Multiples of 6
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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?
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Determine the “Equivalent Fraction” Student Outcome: I will be able to model and explain equivalent fractions
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Equivalent Fractions http://www.learnalberta.ca/content/memg/Division03/Equivalent%20Fractions/index.h tml
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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,...
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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 2736 Fill in the correct numerator and denominator. One fraction is incorrect when compared to 1/3. Which one? Why?
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Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions Make equivalent for the examples below. 1. 2. = = = = =
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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
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Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions Using Pattern Blocks make equivalent fractions for: 142 263
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Homework Page 234-235: 2,11,14,19,20 12b,d2,5,6,10,11,14 2,5,6,9,10,12a,c
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Show Me What You Know #1
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Different Denominators 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
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Activity Let’s Measure Objects Find a friend 5 different times and measure 5 different objects.
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Different Denominators 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+1 23 How can you add the two fractions together if they are NOT equal sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement
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Different Denominators 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+1 23 How can you add the two fractions together if they are NOT equal sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement 3+ 2 6 6
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Different Denominators 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 + How can you add the two fractions together if they are NOT equal sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement
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Different Denominators 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 + How can you add the two fractions together if they are NOT equal sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement
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NOTICED What have you NOTICED??? When adding fractions of different denominators the rules are… 1. 2. 3. Example 1Example 2Example 3 1 + 1 = 3 + 2 2 3 6 6 = 5 6 2 + 1 = 2 + 2 4 2 4 4 = 4 4 1 + 1 = 3 + 4 4 3 12 12 = 7 12
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NOTICED 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 1Example 2Example 3 1 + 1 = 3 + 2 2 3 6 6 = 5 6 2 + 1 = 2 + 2 4 2 4 4 = 4 4 1 + 1 = 3 + 4 4 3 12 12 = 7 12
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NOTICED 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 1Example 2Example 3 2 + 1 = 5 3 = 1 + 2 = 4 6 = 3 + 1 = 8 4 =
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SubtractionAddition Write the Subtraction or Addition Statement a) _ b) + c) _
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SubtractionAddition Write the Subtraction or Addition Statement a) b) c)
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SubtractionAddition Write the Subtraction or Addition Statement a) b) c)
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Homework Page 242-243 5a,8b,9c,15,19a,22 163,6cd,9be,14,19a 21 3,4,6ace,9,11ace
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Show Me What You Know #2 On the front On the back
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Activity Let’s Measure Objects Scavenger Hunt: Measure the following: 1. Width of a classroom door 2. Length of a table in (room 228) 3. Width of blue table in the common area 4. Height of locker in the hallway 5. Width of window in the hallway (breakout room) 6. Height of water fountain 7. Height of grey garbage can (in hallway)
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Mixed 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
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Mixed 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. 3636 1 = 9696 Use pattern blocks to try and prove!!! How did you show this? How?
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Mixed Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 3636 1 = 9696
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Mixed 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. 1212 3 = 7272 Use pattern blocks to try and prove!!! How did you show this?
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Mixed Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 1212 3 = 7272
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Mixed Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 2 2323 = 8383
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Improper Fractions Improper Fractions Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 23 6 = 5 18 =
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Mixed Add Mixed Numbers Student Outcome: I will be able to add mixed numbers. 1 + 1 1 + 1 + + + = 2 steps What steps do you think need to be done in order to find the answer? 1414 2424 1414 2424 3434
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Mixed Add Mixed Numbers Student Outcome: I will be able to add mixed numbers. 1 + 1 Steps: 1.Add the whole #’s 2.Find Lowest Common Denominators 3.Add the numerators 4.Place the fraction into lowest terms 3838 4848
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Mixed Add Mixed Numbers (with uncommon fractions) Student Outcome: I will be able to add mixed numbers. 2 + 4 1313 1212 Steps 1.Find Lowest Common Denominators 2.Add the fractions 3.Can you cashing in 4.Add whole numbers 5.Place the fraction into lowest terms
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Mixed Add Mixed Numbers (with uncommon fractions) Student Outcome: I will be able to add mixed numbers. 2 + 4 1313 1212
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Mixed Add Mixed Numbers Student Outcome: I will be able to model adding mixed numbers. Steps 1.Find Lowest Common Denominators 2.Add the fractions 3.Can you cashing in 4.Add whole numbers 5.Place the fraction into lowest terms
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Mixed 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.
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Homework Page 249-250 9b,11b,13,17,20 154c,6be,8b,10d,12 17 4,6ab,8ab,10ac,14
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Show Me What you Know #3 On the front On the back
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Activity Let’s Measure Objects Measure the following: Width and Length of 3 different objects. Add the width and length together to find a total Ex: 9 ½ + 16 ¾ = 9 2/4 + 16 ¾ = 25 5/4 = 26 ¼
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 1 3 1 + = = 2 steps What steps do you think need to be done in order to find the answer? 2424 1414 2424 1414 1414
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 5 2 2323 1313 Steps 1.Find Lowest Common Denominators 2.Is borrowing/cashing in required 3.Subtract the fractions 4.Subtract whole numbers 5.Place the fraction into lowest terms
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 1 erererrre2 3 1 + = steps What steps do you think need to be done in order to find the answer? 1414 2424 1414 2424
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 1 erererrre2 3 1 + = steps What steps do you think need to be done in order to find the answer? 1414 2424 1414 2424 1 + 4 = 5 4 4 4 “Cash In”
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 1 1414 2424 How can you solve this problem? Hint - - Think of money Draw it out
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 1 1414 2424 “Cashing In” Or “Borrowing” Steps 1.Find Lowest Common Denominators 2.Is borrowing/cashing in required 3.Subtract the fractions 4.Subtract whole numbers 5.Place the fraction into lowest terms
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 3 1 1414 2424 “Cashing In” Or “Borrowing” Steps 1.Find Lowest Common Denominators 2.Is borrowing/cashing in required 3.Subtract the fractions 4.Subtract whole numbers 5.Place the fraction into lowest terms
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. 4 1 1313 2323 “Cashing In” Or “Borrowing” Steps 1.Find Lowest Common Denominators 2.Is borrowing/cashing in required 3.Subtract the fractions 4.Subtract whole numbers 5.Place the fraction into lowest terms
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers. Steps 1.Find Lowest Common Denominators 2.Is borrowing/cashing in required 3.Subtract the fractions 4.Subtract whole numbers 5.Place the fraction into lowest terms
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Mixed Subtracting Mixed Numbers Student Outcome: I will be able to subtract mixed numbers.
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Mixed 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...
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Improper Fractions Subtracting Improper Fractions Student Outcome: I will be able to subtract improper fractions. 17 - 8 4
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Improper Fractions Subtracting Improper Fractions Student Outcome: I will be able to subtract improper fractions. 17 - 8 4
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Improper Fractions Subtracting Improper Fractions Student Outcome: I will be able to subtract improper fractions. 7 - 8 2 4
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Improper Fractions Subtracting Improper Fractions Student Outcome: I will be able to subtract improper fractions. 7 = 14- 8 2 4 4
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Homework Page 257-258: 4,6e,8c,13,16,20,21,23 124a,5e,7b,9f,15,19 20 4,5ace,8,9ace,11
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Activity Let’s Measure Objects Measure the following: Perimeter of 3 different objects. Add the width + length + width + length together to find the perimeter Ex: 4 ½ + 2 ¼ + 6 ¾ + 4 ½ = 4 2/4 + 2 ¼ + 6 ¾ + 4 2/4 = 16 8/4 = 18
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Homework Chapter Review Pages 260-261 (a,b for each question)
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