Explore A - Lesson 4.6 Four as a Factor
- Due No Due Date
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For this lesson you will need the 1-40 board found in the lesson materials and crayons or different colored pencils.
Part 1
On your 1-40 board, circle the answers to the following questions with a crayon.
a) How many legs on 1 peacock?
b) How many legs on 2 peacocks?
c) How many legs on 3 peacocks?
d) How many legs on 4 peacocks?
Continue to circle what the answers would be for 5, 6, 7, 8, 9, 10, and so on peacocks.
On your board write "x2" with the crayon color you used.
Part 2
Let's look at a lion. How many legs does a lion have?
Using a different colored crayon, cross off the answers to the following questions on your 1-40 board.
a) How many legs on 1 lion?
b) How many legs on 2 lions?
c) How many legs on 3 lions?
d) How many legs on 4 lions?
Continue to cross off what the answers would be for 5, 6, 7, 8, 9, 10, and so on lions.
On your board write "x4" with the crayon color you used.
Part 3
Think about the following questions as you look at the numbers circled and crossed off of your 1-40 board.
What do you notice?
Did you notice that every other circled number on your 1-40 board is also crossed off?
Did you notice that all of the circled numbers and the numbers crossed off are even?
Did you notice that all the crossed off numbers are also circled?
Did you notice that the double of each circled number was crossed off?
Part 4
Look at the multiplication chart below. What do you notice? What is the relationship between the number in the 2 column and the number in the 4 column? Is there something you could do to the number in the 2 column to get the number in the 4 column?
Let's look at the multiplication chart and the x2 and x4 columns.
Let's look at the row with the 5. The number in the 2 column is 10 and the number in the 4 column is 20. Is there something that you can do to 10 to get 20? How could knowing 5 x 2 = 10 help you to figure out 5 x 4?
Did you say we could multiply 10 by 2 to get 20? Sometimes we call this doubling. Let's try it with some other numbers.
6 x 4 = ?
6 x 2 = 12
Double 12 = 24
Is that 6 x 4?
Think about why doubling a number twice is the same as multiplying by 4 while you do this next problem.
What is 7 x 4?
Double 7
Double 14
Is that 7 x 4?