Grade 5 Math Strategy, 2013-2014 Day 3 ~ Proportional Reasoning Tasks French Immersion

Elementary Program Team, March 2014 1

Big Idea Number 1: A number tells how many or how much. (Usually we use numbers to give us the sense of the size of something.)

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Combien de 2’s est-ce qu’il y a en 30? Combien de 3’s est-ce qu’il y a en 45? Explique comment ça se peut.

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Big Idea Number 2: Classifying numbers or numerical relationships provides information about the characteristics of the numbers or the relationship. (Sometimes if you know a little bit about a number or relationship, you know more than you realize.)

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Comment est-ce que savoir le périmètre d’un rectangle t’aide à savoir les autres mesures du rectangle? Explique.

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Big Idea Number 3: There are many equivalent representations for a number or numerical relationship. Each representation may emphasize something different about that number or relationship. (There is usually more than one way to show a number or relationship and each of those ways might make something more obvious about that number or relationship.)

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Une recette pour 8 muffins utilise 2 tasses de farine. Choisi un autre montant de muffins --- 10, 12, ou 14. Explique comment tu vas changer le montant de farine dans la recette. Combien de muffins supplémentaires as-tu cuit? Pourquoi est-ce que tu n’ajoutes pas ce montant de tasses de farine à la recette?

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Big Idea Number 4: Numbers are compared in many ways. Sometimes they are compared to each other; other times, they are compared to benchmark numbers. (Numbers can be compared in different ways – sometimes to each other and sometimes to benchmark numbers.)

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B est la moitié d’A. Es-tu d’accord ou pas? Explique.

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Voici les fréquences cardiaques de quelques animaux: Un lion – 40 battements du cœur en 60 secondes Une girafe – 5 battements du cœur en 12 secondes Un colibri – 41 battements du cœur en 10 secondes Quel animal a la plus lente fréquence cardiaque?

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Choisi deux fractions avec le même numérateur. Explique comment tu sais quelle fraction est la plus grande?

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Big Idea Number 5: The operations of addition, subtraction, multiplication, and division each hold the same fundamental meaning no matter the domain to which they are applied. (The meanings of addition, subtraction, multiplication, and division hold true, regardless of the type of number being used.)

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Diane livre 78 journaux par semaine. Environ combien de semaines se passent avant qu’elle livre 1000 journaux? Explique.

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Big Idea Number 6: There are many algorithms for performing a given operation. (You can add, subtract, multiply, or divide in more than one way.)

Anticipated Solutions: 1. Draw a picture

Proportional Reasoning: Unitizing -120 is 100+20; 3X40; 8 less than 128

2. Whole/Parts 120= 40 + 40 + 40 Determine 5 8’s in 40. Multiply 3X5=15 3. Friendly Facts & Whole/Parts 8X10=80 80 is 40 less than 120 __ X 8=40 5X8=40 10 + 5 = 15 4. Make a Model Array 5. Known Facts & add on 8X12=96 Add two more 8’s 96+16=112 112+8=120 6. Repeated Addition 8+8+8+8+8…=120 7. Repeated Subtraction 120 - 8 – 8… 8. Standard Algorithm

-120 is 120 ones; 1 100, 2 tens, 0 ones; 8 tens, 40 ones; etc Multiplicative Thinking Relative vs Absolute Understanding Quantity Relationships and Change Quantities relate or change together (e.g. doubling or halving) Partitioning Equal splitting of a whole

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Tu veux découvrir combine de 8’s se trouvent dans le numéro 20. Quelles son quelques façons différentes pour découvrir cela? Montre ton travail.

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