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Lesson 1 factors.notebook
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October 25, 2016
Notes #1 Factors
Unit 2 Number Relationships6N3 Demonstrate an understanding of factors and multiples by:• determining multiples and factors of numbers less than 100• identifying prime and composite numbers• solving problems using multiples and factors.[CN, PS, R, V]
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6 x 7 = 426N3.1 Determine all the whole number factors of a given number, using arrays.
Factors any number that is multiplied by another number to get a product. Factors always come in pairs.
ex. Find the factors of 8 (Concretely and Pictorially)(First ask yourself: What numbers do I multiply together to get 8?)
Multiplication equations with product 8 are:
The factors of 8 are:
Number of arrays:
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Finding factors using ARRAYS:Representing arrays concretely & pictorially:We can represent the factors of 9 concretely using Snap Cubes or Countersand pictorially using Grid Paper.
Multiplication equations with product 9 are:
The factors of 9 are:
Number of arrays:
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Group WorkYou will need:
36 Snap Cubes or Counters, dot paper
Find the factors of 12, 18, 24, 30, and 36.
For each number: Create as many arrays (rectangle) as possible using Snap cubes Draw each array (with dimensions) on the dot paper provided Write a multiplication equation for each array List the factors this number using the arrays.
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We used arrays to find the factors of numbers.Video: http://www.learnalberta.ca/content/me5l/html/math5.html?goLesson=2
We can also use Organized Lists.
Factors of 12 The factors of 12 are:
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Practice: Use an organized list to list the factors of 8 and 24.
Factors of 8 The factors of 8 are:
Factors of 24 The factors of 24 are
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Construct Arrays (Rectangles) to show that 8 is a factor of 16 and 24.
Explain.
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Factor patterns:Use organized lists to find the factors of 12, 13 and 15.
factors of 12: factors of 18: factors of 36:
factors of 13: factors of 24:
factors of 15: factors of 30:
1. Which numbers have the least number of arrays and therefore, the least number of factors?
2. Which numbers have arrays that form a square?
3. Which numbers have a factor of 2?
4. What can you say about the factors for even numbers?
5. Do even numbers always have 2 as a factor?
6. What do you notice about the factors of odd numbers?
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Find a number that:
1. has exactly 4 factors
2. has exactly 5 factors
Journal entry #1 (Independent)Draw one or more rectangles to show that 6 is a factor of 12 and 24.
Journal entry #2 (Thinkpairshare)Find a number which has 4, 7, 28 and 12 as factors. Is there a
smaller number which will meet the conditions? Explain why or why not.
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Factor Rainbows - Using Divison Facts
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Create a factor rainbow for these numbers.18 21
64 30
Text page 72 questions 1,2,3,4Evaluation question # 5 (Handout)
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Problem solving using factors.Example 1Kimberly bought boxes of yogurt tubes. Each box contains the same number of yogurt tubes. Kimberly has a total of 24 yogurt tubes. How many yogurt tubes could there be in each box?
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Example 2Craig and John bought boxes of granola bars. Craig had 24 bars in total and John had 30 bars in total.
(i) What are the possible sizes of boxes for each student?
(ii) Craig and John bought boxes containing the same number of bars. How many bars are in each box? How many boxes did each person buy?
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Example 3Jill has an ice cream sandwich which measures 10cm by 10cm. She wants to cut the ice cream into squares. What possible sizes could the squares be? How many squares of each size would be cut?
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Example 4Harry's dad had 36 Halloween treats that he wanted to share evenly among treat bags. What are the different possibilities of the number of bags that he could fill?
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Example 5Ms. Benoit is creating Spirit Day teams. There are 64 students that she will share evenly among the teams. What are the different possibilities of the size of teams she could create?
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