Number practice

Numbers and place value

A digit’s place tells us its value.
CONCEPT
Ten thousandsThousandsHundredsTensOnes
21047

21 047 = 20 000 + 1 000 + 40 + 7. Zero holds the hundreds place.

Compare from the left. The first different place decides.

1Write each number in digits.
a
sixteen thousand and eight
b
thirty thousand and sixty
c
eight thousand four hundred and nine
d
twenty-two thousand five hundred and three
2Use place value.
a
Value of 4 in 24 106:
b
Value of 7 in 17 032:
c
Value of 6 in 16 405:
d
Value of 9 in 29 014:

Write 20 708 in words.

3Order and insert.

Order from smallest to largest: 20 070, 19 980, 20 700, 20 007, 21 000.

Insert 20 050 and 20 705. Write all seven in order.

4Check a claim.

“15 306 is smaller than 15 280 because 0 is smaller than 8.”

Is the claim correct? Explain the first place that is different.

Name: ______________________________   Date: _________________1
Number practice

Fractions of a whole

Equal parts make a whole.
CONCEPT

2 of 5 equal parts shaded = 25.

25 + 35 = 1 whole.

The denominator counts all equal parts.
The numerator counts the chosen parts.

1Name the shaded fraction. Each strip is one whole.
a
b
c
d
2Shade the named fraction. Each strip is one whole.
a
13
b
15
c
110
d
45
3Complete each whole. Write both fractions.
a

Shaded Still needed

b

Shaded Still needed

c

Shaded Still needed

d

Shaded Still needed

4Compare parts of equal-sized wholes.

Shade one third of the first strip and one fifth of the second.

Which shaded part is larger? Explain using equal-sized wholes.

Name: ______________________________   Date: _________________2
Number practice

Times and card rules

Compare durations. Use equal groups to find totals.
CONCEPT
1 minute = 60 seconds

74 seconds = 60 + 14 seconds
= 1 minute 14 seconds.

A smaller time means a faster finish.

2 cards for each player

3 players × 2 cards = 6 cards.

One more player adds 2 cards.

1Compare finishing times for the same course.

Times: 53 seconds, 68 seconds, 61 seconds, 57 seconds.

Fastest to slowest:

2Convert the times.
a
68 s = min s
b
61 s = min s
c
85 s = min s
d
1 min 12 s = s

Which is longer: 59 seconds or 1 minute 3 seconds? Explain.

3Each player gets 4 cards. Complete the table.
Players123456
Total cards

What happens to the total when one more player joins?

4Create and use your own card rule.

Choose 3, 5 or 10 cards for each player. My choice:

Players2345
Total cards

Write steps that work for any number of players.

7 players need cards. One more player adds cards.

Name: ______________________________   Date: _________________3
Number practice

Equal groups and related facts

Multiplication and division undo each other.
CONCEPT

3 equal groups of 4 make 12.

3 × 4 = 12   12 ÷ 4 = 3
4 × 3 = 12   12 ÷ 3 = 4

1Make equal groups.

Pack 35 counters into bags with 5 counters in each bag. How many bags?

Draw equal groups or an array to prove your answer.

a
Multiplication:
b
Related division:
2Complete each multiplication fact and related division fact.
a
3 × = 21
21 ÷ 3 =
b
5 × = 45
45 ÷ 5 =
c
10 × = 60
60 ÷ 10 =
d
3 × = 27
27 ÷ 3 =
e
5 × = 20
20 ÷ 5 =
f
10 × = 80
80 ÷ 10 =
3Use a fact family.

Use 3, 8 and 24 to write two multiplication facts and two division facts.

a
b
c
d

Explain how knowing a multiplication fact helps you divide.

4Solve and show your thinking.
a
40 pencils, 10 in each pot. How many pots?
b
5 teams have 6 players each. How many players?
Name: ______________________________   Date: _________________4
Number practice

Follow and create steps

An algorithm is a set of precise steps.
CONCEPT

Record → add → test → repeat or stop.

Example: start at 5, record, add 5, stop if the new number is greater than 15.

Record 5, 10, 15. The next number is 20, so stop before recording it.

1Follow these steps. Write every recorded number.
  1. Start with 3.
  2. Record the current number.
  3. Add 3.
  4. Is the new number greater than 30? If yes, stop. If no, go back to step 2.

Describe the pattern.

2Explain the stopping decision.
a
Is 30 recorded in Question 1? Explain.
b
Is 33 recorded in Question 1? Explain.
3Create and test your own steps.

Record the 5 times-table numbers from 5 to 30, including 30. Write steps or draw a flowchart. Include a decision that tells you when to stop.

Use your steps. Write all recorded numbers.

4Find numbers shared by two patterns.

Which numbers appear in both your Question 1 and Question 3 lists?

Explain how you checked that you found every shared number in the lists.