CM2 Prime Time 2.3 Classifying Numbers

7/27/2019 CM2 Prime Time 2.3 Classifying Numbers

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Prohlem $f, Beasoning With Even and. Odd NumbersA. Make conjectures about whether the results below will be even or odd.

Then use tile models or some other method to support your conjectures.1. the sum of two even numbers2. the sum of two odd numbers3. the sum of an even number and an odd number4. the product of two even numbers5. the product of two odd numbers6. the product of an even number and an odd number

B. Is 0 an even number or an odd number? How do you know?C. Without building a tile model, how can you determine whether a sumof numbers, such as 721 + 38, is even or odd?D. A problem occurs when we compute 6 + 3 x 9. You can get 81 or 33

as the answer! How can you get 81? How can you get33? T\e order ofoperations rule says that you do all multiplications and divisions beforeyou add or subtract. This makes 33 the correct answer.Compute each number and tell whether it is even or odd.1.3+5x7 2,25-3x24. 43 *25 + 5 +2 5. 43 -7 + 5 xZ

.eGm ] Homework starts on page 30.

3.11 x 5 + 3 x 96.6+78-24+6

GhssifyingNumbersA Veo, diagram uses circles to group things that belong together. Youcan use Venn diagrams to explore relationships among whole numbers. Forexample, suppose that you want to group the whole numbers from 1 to 9according to whether they are prime or multiples of 2. First,list thenumbers that fall into each category:

Prime Numbers:2,3,5,1 Multiples of 2;2,4,6,8Next, draw and label two overlapping circles, one that represents the primenumbers and one that represents the multiples of 2. Put each number from1 to 9 in the appropriate region. The numbers that don't fall into eithercategory belong outside of the circles. The numbers that are in bothcategories belong in the overlap of the circles.

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PrimeNumbers iia;itipiJ3!

Problem Gtassifying lUumberslhe Venn diagrams in euestions A-D are related to the ideas vou studied-r Investigation 1.A. List the factors of 30 and 36. Fill in a copy of this venn diagramwith all whole numbers less than or equal to 4o.Then answerthe questions below.

1. what do the numbers in the intersection (the,,overlap,,) of thecircular regions have in common?2. List flve numbers that fall in the region outside the circles andexplain why they belong outside the circles.3. Explain how you can use your compreted diagram to find thegreatest factor that 30 and 36 have in common. what is thisgreatest common factor?4. what is the least number that fars in the intersection?

lnvestigation 2 whore-Number patterns and Rerationships


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List the factors of 20 and the factors of 27. Fill in a copy of this Venndiagram with whole numbers less than or equal to 30. Then answer thequestions below.

1. What do the numbers in the intersection of the circular regionshave in common?2. Explain how you can use your completed diagram to flnd thegreatest factor that20 and2l have in common.What is this greatestcommon factor?

3. Compare this Venn diagram to the one you completed inQuestion A. How are they alike, and how are they different?

List the multiples of 5 and the multiples of 4 that are less than or equalto 40. Fill in a copy of this Venn diagram with whole numbers less thanor equal to 40. Then answer the questions that follow.

Multiples Multiples

1. What do the numbers in the intersection of the circular regionshave in common?

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Explain how you can use your completed diagram to flnd the leastmultiple that 5 atd 4 have in common.What is this least commonmultiple?List flve more numbers that would be in the intersection if numbersgreater than 40 were allowed. What would be the greatest possiblenumber in the intersection if you could use any number?

D. List the multiples of 6 and the multiples of 8 that are less than or equalto 48. Fill in a copy of this Venn diagram with whole numbers less thanor equal to 48. Then answer the questions below

Multiplesultiples

1. What do the numbers in the intersection have in common?2. Explain how you can use your completed diagram to flnd the leastmultiple that 6 and 8 have in common. What is this least commonmultiple?3. Compare this Venn diagram to the one you completed inQuestion C. How are they alike? How are they different?

eCffi I Homework starts on page 30.

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lnvestigation 2 Whole-Number Patterns and Relationships 29

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CM2 Prime Time 2.3 Classifying Numbers