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Modeling Multiplication
2
What will we Be discussing?
Write a number sentence that describes the image.
On a sticky note describe what you see.
Is there a more powerful operation that we could use and still get the same answer?
Hook
How can we use this operation to describe the image? What does it mean? Why is it connected to addition?
There are 3 baskets, each basket has 4 apples. How many apples are there in all? Use equal groups and repeated addition to find the product.
which is easier, counting the whole number of students, or group them and find out the number in all?
Practice
Let's try to add all the number of students in each group.
6 in the first group, 2nd group, 3rd group and 4th
How can we describe four tables of 6 students differently?
Each group will receive a different word problem. use equal groups and repeated addition to find the product.
In the math copybook.
Find the product using equal groups.
a) 4x8
b) 5x4
In the math copybook.
Find the product using repeated addition.
a) 6x9
b) 4X7
Group Activity
Go Math book Solve Page:
If we rearrange the order of the factors, will the product change?
using 6 counters, try and put them in rows or columns.
Make sure that each row or column has an equal number of counters.
What property suggests that the order of factors doesn’t change the product?
do you know what rows and columns together are called?
Arrays.
Array
an arrangement of objects, pictures or numbers in columns or rows.
Rows x columns
Can you use skip counting to find the product? How?
Write a related multiplication sentence.
Go Math book Page:
Use a number line to find 4x3
skip counting
In your math copybook find the following using array.
a) 5x4 b) 3x5
In your math copybook find the following using number line.
a) 4x2 b) 5x6
What about the connection between 4 and 8?
Can you identify the pattern and describe it?
The products are all even, the products of 8 are the products of 4 but doubled.
The products of 2 are all even numbers, skip counting by 2.
The products of 4 are all even numbers, skip counting by 4.
The products of 8 are all even numbers, skip counting by 8.
What is the connection between factors 2 and 4?
Pattern
The products are all even, the products of 4 are the products of 2 but doubled.
Go Math Book:
Page 67, 69, 71, 81
5x4=
6x3=
8x4=
Strategy of Doubling
Can you identify the pattern and describe it?
Go Math Book:
Pages: 79, 91
The products of 6 are the products of 3 but doubled.
The products of 10 are the products of 5 but doubled.
The products of 5 end in 0 or 5.
The products of 10 end in 0.
Pattern
3x4=
4x3=
Did the product change?
What is this property called?
Commutative Property.
Write an example showing commutative property.
Properties of multiplication
4x1x2=
4x(1x2)=
(4x1)x2=
8
4x2=
8
When you group and regroup the order of factors, does the product change?
What is this property called?
Associative Property.
Write an example showing associative property.
Now break apart the factors.
What do we call this strategy?
solve using arrays.
6x4=
solve using arrays.
4x2=
solve using distributive (break apart) strategy.
3 x 8 =
What if one of the factors is an odd number how would you break it apart?
Distributive or break apart strategy.
6x2
(1 x 8) + (2 x 8)=
What is another way you can break apart the factors?
so
+
8 + 16 = 24
6x2
solve using distributive (break apart) strategy.
5 x 5 =
24
3x4
24
=
+
(1 x 5) + (4 x 5)=
so
5 + 20 = 25
What name would you give this property?
Solve the following:
1 x 0 =
3 x 0 =
10 x 0 =
20 x 0 =
0
0
0
0
Zero Property
What do you notice?
Any number multiplied by zero is zero.
What name would you give this property?
Solve the following:
1 x 1 =
3 x 1 =
10 x 1 =
20 x 1 =
1
3
10
20
Identity Property
What do you notice?
Any number multiplied by one the product is the same as the given number.
Go Math Book:
Page: 59, 61, 73, 77
What are the 5 properties of multiplication?
Multiplication properties
Math Trick
How can you use your hands to work out some of the times table involving 6, 7, 8, 9, 10 ?
Go Math Book:
Pages: 75, 83
Math Trick
https://www.youtube.com/watch?v=x2Nr-f02AUY