Lesson 2: Extending Number Patterns

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Extra Practice 1

Lesson 1: Patterns in Charts

1.Use a hundred chart. Choose a start number. Count on by 4s. Shadethese numbers with one colour.
Use the same start number. Count on by 6s.
Shade these numbers with another colour.
a)Write the numbers that are shaded in both colours.
b)What is a rule for this pattern?
 / 1 / 2 / 3 / 4 / 5
1 / 1 / 1 / 1 / 1 / 5
2 / 2 / 4 / 6 / 7 / 8
3 / 3 / 4 / 5 / 12 / 15
4 / 4 / 8 / 12 / 8 / 9
5 / 5 / 7 / 15 / 16 / 20
2.Identify the errors in this multiplication chart.

Lesson 2: Extending Number Patterns

1.Here is a pattern made with squares.
Figure / Number of Grey Squares / Number of White Squares
1
2
3
4
a)Complete the table.
b)How many white squares will be in the figure with 10grey squares?
c)How many grey squares will be in the figure with
29white squares?

Extra Practice 2

Lesson 3: Representing Patterns

1.a)Use counters to build this pattern.
Figure / Counters in a Figure
1 / 1
2 / 4
3 / 7
4 / 10
b)Write a pattern rule for the number of counters.
c)How many counters are in Figure 10? How do you know?
d)Does any figure have 24 counters? How do you know?

Lesson 4: Equations Involving Addition and Subtraction

1.Say what each equation means.
Use any method to solve the equation.
a)16 – = 9b)19 = 16 + 
c)+ 19 = 25d)9 = – 16
2.Write an equation that represents the problem below.
Solve the equation.
Alex had 25 blocks.
Alicia gave Alex some blocks.
Now, Alex has 33 blocks.
How many blocks did Alicia give Alex?

Extra Practice 3

Lesson 5: Equations Involving Multiplication and Division

1.Say what each equation means.
Use any method to solve the equation.
a)16 ÷= 4b)6 = 12 ÷
c)4 = 20d)6 = 6 ÷
2.Write an equation that represents the problem below.
Solve the equation.
Jamal has 25 books.
He shares them equally among his friends.
Each friend gets 5 books.
How many friends get books?

Extra Practice Sample Solutions

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Name / Date

Extra Practice 1 – Master 1.20

Lesson 1: Patterns in Charts

1.Shaded numbers will vary depending on the start number.

a)For example: for a start number of 1, the shaded numbers are: 1, 25, 49, 73, 97

b) Start at 1. Add 24 each time.

2.The correct chart is shown.
The numbers in boldface are the corrections.

 / 1 / 2 / 3 / 4 / 5
1 / 1 / 2 / 3 / 4 / 5
2 / 2 / 4 / 6 / 8 / 10
3 / 3 / 6 / 9 / 12 / 15
4 / 4 / 8 / 12 / 16 / 20
5 / 5 / 10 / 15 / 20 / 25

Lesson 2: Extending Number Patterns

1.a)

Figure / Number of Grey Squares / Number of White Squares
1 / 2 / 7
2 / 3 / 9
3 / 4 / 11
4 / 5 / 13

b)23 white squares

c)13 grey squares

Extra Practice 2 – Master 1.21

Lesson 3: Representing Patterns

1.a)Patterns may vary. For example:

b)Start at 1. Add 3 each time.

c)I added 3 six times to 10, to get 28.
That is the number of counters in Figure 10.

d)No figure has 24 counters.
Figure 8 has 22 counters, Figure 9 has 25 counters, and there are no figures between these two in the pattern.

Lesson 4: Equations Involving Addition and Subtraction

1.Explanations may vary.

a)Sixteen subtract a number equals 9;  = 7

b)Nineteen equals 16 add a number;  = 3

c)A number add 19 equals 25; = 6

d)Nine equals a number subtract 16;  = 25

2.25 +  = 33;  = 8; Alicia gave Alex 8 blocks.

Extra Practice 3 – Master 1.22

Lesson 5: Equations Involving Multiplication and Division

1.Explanations may vary.

a)Sixteen divided by a number equals 4;  = 4

b)Six equals 12 divided by a number;  = 2

c)Four times a number equals 20; = 5

d)Six equals 6 divided by a number;  = 1

2.25 ÷ = 5;  = 5; 5 friends get books.