100% coverage of New Zealand Mathematics and Statistics Curriculum for Phases 1-3
Proven results in New Zealand schools for over a decade Clear, step-by-step lessons for consistent, explicit teaching
Structured problem solving and reasoning for deep understanding
1. Count. Then, write the number in numerals and in words.
Numeral: Word:
2. Count the sticks and write the number. 3 tens 4 ones =
3. Continue each number pattern. Then, describe the number pattern. a) 31, 21, 11, Count by . b) 25, 27, 29, , , Count by
4. Complete the number line.
5. Compare the numbers. Then, write the missing numbers.
is the greatest. is the least.
The number of countries in each continent is shown below.
North America: 23 South America: 12 Europe: 44 Africa: 54 Asia: 48 Oceania: 14
Arrange the continents in order. Begin with the continent that has the greatest number of countries.
How can we solve this problem?
Discuss in your group and fill in columns 1 and 2.
1. What I already know that will help me solve the problem
Compare and order numbers within 40.
3. What I have learnt Africa, Asia, Europe, North America, Oceania, South America
2. What I need to find out and learn
Compare and order numbers within 120. Answer varies.
You will learn to...
• count within 120
• read and write numbers up to 120
• write 2-digit and 3-digit numbers in hundreds, tens and ones
• skip count objects in twos, fives or tens
• identify odd and even numbers
Let's Learn Let's Learn
10 ones = 1 ten 10, 20, 30, 40, 50, 60
b)
10, 20, ..., 100 are numerals.
10 tens = 1 hundred
6 0 sixty 6 tens = 60 ones = 60
10 tens = 100 ones = 100 10, 20, 30, ..., 80, 90, 100
1 0 0 one hundred
A numeral is a symbol used to represent a number of objects.
tens = 120 ones = 120 10, 20, 30, …, 90, 100, 110, 120
d) The way numbers are named in English and te reo Māori are similar. 1 0 0 one hundred and twenty
tens = 1 hundred 2 tens
Let's Do Let's Do
1. Count the tens. Then, write the missing numbers.
= ones =
2. Write the numerals.
a) forty b) one hundred and twenty c) toru tekau d) rima tekau
1. Count the tens. Then, write the missing numbers. tens =
2. Write the numerals.
a) fifty b) one hundred a) iwa tekau b) rua tekau
3. Write the numbers in English words. a) 30 b) 110
a) Count the number of erasers. Make tens first.
40 and 4 make 44. There are 44 erasers.
4 0 4 forty-four 4 4
b) Count the number of sticks.
I make tens and count. 10, 20, 30, 40, 41, 42, 43, 44
100, 10 and 2 make 112. There are 112 sticks.
1 0 0
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 111, 112
ten 1 ten tekau
eleven 1 ten 1 one tekau mā tahi
twelve 1 ten 2 ones tekau mā rua
thirteen 1 ten 3 ones tekau mā toru
fourteen 1 ten 4 ones tekau mā whā
fifteen 1 ten 5 ones tekau mā rima
sixteen 1 ten 6 ones tekau mā ono
seventeen 1 ten 7 ones tekau mā whitu
eighteen 1 ten 8 ones tekau mā waru
nineteen 1 ten 9 ones tekau mā iwa
twenty 2 tens rua tekau
twenty-one 2 tens 1 one rua tekau mā tahi
twenty-two 2 tens 2 ones rua tekau mā rua
twenty-three 2 tens 3 ones rua tekau mā toru
twenty-four 2 tens 4 ones rua tekau mā whā
twenty-five 2 tens 5 ones rua tekau mā rima
twenty-six 2 tens 6 ones rua tekau mā ono twenty-seven
tens 7 ones rua tekau mā whitu
twenty-eight 2 tens 8 ones rua tekau mā waru twenty-nine 2 tens 9 ones rua tekau mā iwa thirty 3 tens toru tekau
thirty-one 3 tens 1 one toru tekau mā tahi thirty-two 3 tens 2 ones toru tekau mā rua
thirty-three 3 tens 3 ones toru tekau mā toru forty 4 tens whā tekau forty-one
tens 1 one whā tekau mā tahi forty-two
tens 2 ones whā tekau mā rua forty-three
tens 3 ones whā tekau mā toru
1. Count and write the number of buttons. There are buttons.
2. Count and write the number of straws. There are straws.
3. Write the numerals.
a) sixty-eight b) fifty-two c) one hundred and four
4. Match.
1. Count and write the number of sticks.
There are sticks.
2. Count and write the number of dots.
There are dots.
3. Write the numerals.
a) seventy-one b) one hundred and two
4. Write the numbers in English words. a) 45
111 5. Match.
Let's Learn Let's Learn
53 is 50 and 3. 53 = 5 tens 3 ones
1. Count and write the missing numbers.
56 = 5 tens ones 56 = 50 +
= 1 hundred ten 2 ones
= 100 + + 2 2. Add.
1. Count and write the missing numbers.
= tens ones = +
2. Write the missing numbers. a) 4 tens 6 ones = b) 50 and 8 make . c) 1 hundred 8 ones = d) is 100, 10 and 5.
3. Add.
Let's Learn Let's Learn
a) 2, 4, 6
Count forwards in 2s. 2, 4, 6
There are 6 toy cars.
b)
c)
12 beans can be put into groups of 2. 12 is an even number.
Count forwards in 5s. or Count forwards in 10s. 5, 10, 15, 20 10, 20
There are mangoes.
An even number of objects can be put into groups of 2. An odd number of objects cannot be put into groups of 2. There will be 1 object left over. 5, 10, 15, 20 10, 20 or 20
15 beans cannot be put into groups of 2. There is 1 bean left over. 15 is an odd number.
1, 3, 5, 7, 9 11, 13, 15, 17, 19
Look at the digits in the ones place. What pattern do you see?
The digit in the ones place of an odd number is 1, 3, 5, 7 or 9.
The digit in the ones place of an even number is , , , or . 0, 2, 4, 6, 8, 10 12, 14, 16, 18, 20
Let's Do Let's Do
1. Count and write the number of objects. Circle groups of 2, 5 or 10 objects to help you count.
2. Cross out the group that shows an even number.
3. Is 72 an even or an odd number?
Why? The digit in the ones place is .
1. Count and write the number of objects.
2. Circle the group that shows an odd number.
3. Circle the even numbers.
4. Circle the odd numbers.
5. Is 107 an even or an odd number? Why?
I have learned to... count within 120 read and write numbers up to 120 write 2-digit and 3-digit numbers in hundreds, tens and ones skip count objects in twos, fives or tens identify odd and even numbers Odd number The digit in the ones place is 7.
You will learn to...
• find 1, 2, 5 or 10 more than or less than a given number
• describe and complete number patterns
• read numbers to 120 on a number line
• round numbers to the nearest ten
• compare and order numbers within 120
2.1 Finding more than and less than Let's Learn Let's Learn
b) Count backwards 5 ones from 56.
56, 55, 54, 53, 52, 51
5 less than 56 is .
c) Count forwards 1 ten from 19. 19, 29
10 more than 19 is . 1 ten = 10
Let's Do Do
1. Write the missing numbers.
a) is 1 more than 65. b) is 1 less than 65. c) is 2 more than 65. d) is 2 less than 65. e) is 5 more than 65. f) is 5 less than 65. g) is 10 more than 65. h) is 10 less than 65.
Let's Practise Let's
1. Write the missing numbers.
a) is 1 more than 53. b) is 1 less than 53. c) is 10 more than 53. d) is 10 less than 53. e) is 2 more than 53. f) is 2 less than 53. g) is 5 more than 53. h) is 5 less than 53.
2. Answer the questions.
a) What number is 2 more than 34?
b) What number is 1 less than 50?
c) What number is 5 more than 115?
d) What number is 10 less than 102?
Let's Learn Let's Learn
We can find number patterns on a number chart.
a) pattern: Start at 63. Count forwards in 3s.
The number pattern is 63, 66, 69, 72.
Each number is 3 more than the number before it.
The next two numbers in the pattern are 75 and 78.
b) pattern: Start at 89. Count backwards in 2s.
The number pattern is 89, 87, 85, 83.
Each number is 2 less than the number before it.
The next two numbers in the pattern are and .
Let's Do Do
1. Describe each number pattern. Then, continue the number pattern.
a) pattern: Start at 28.
Count forwards in . 28, , , , ,
b) pattern: Start at 80. Count in . 80, , , , ,
2. Complete the number patterns. a) 85, 80, 75, , b) 42,
,
1. Continue each number pattern. Then, describe the number pattern.
a) 88, 86, 84, 82, , Count in . b) 18, 21, 24, 27, , Count in .
2. Complete the number patterns.
a) 55, 60, 65, , b) 17, 15, 13, ,
c) , 110, 100, 90, 80, , 60 d) 36, , , 45, 48, 51
Count forwards in 1s: 40, 41, 42. stands for 42.
Count forwards in 1s: 44, . stands for .
Count backwards in 1s: 50, 49, . stands for
Let's Do Let's Do
1. Complete the number lines.
1. Complete the number lines.
2. Look at the number line.
a) Label the number that is 1 more than 49 with A.
b) Label the number that is 2 less than 54 with B.
c) Label the number that is 2 more than 53 with C.
d) Which letter stands for a number that is 5 less than letter C?
3. Mark 117 with a cross on the number line below.
a) Round 62 to the nearest ten.
62 is between 60 and 70. It is nearer to 60 than to 70.
62 is 60 when rounded to the nearest ten.
62 ≈ 60
≈ is the approximation sign.
b) Round 38 to the nearest ten.
I round 62 to the nearest ten. 62 is approximately 60.
38 is between 30 and 40. It is nearer to 40 than to 30.
38 is 40 when rounded to the nearest ten.
38 ≈ 40
c) Round 85 to the nearest ten.
38 is approximately 40.
85 is halfway between 80 and 90. We round 85 up to the greater ten.
85 is 90 when rounded to the nearest ten.
85 ≈ 90
85 is approximately 90.
d) Round 106 to the nearest ten.
106 is between 100 and 110. It is nearer to 110 than to 100. 106 is 110 when rounded to the nearest ten.
106 ≈ 110
To round a number to the nearest ten, look at the digit in the ones place. If it is 5 or greater, round up. If it is less than 5, round down.
Let's Do Do
1. Round each number to the nearest ten.
2. Round each number to the nearest ten.
Let's Practise Let's
1. Round each number to the nearest ten. a) 23 ≈ b) 99 ≈ c) 105 ≈
2. a) There are 84 cows on a farm. Round the number of cows to the nearest ten.
b) 118 children took part in a cross-country race. Round the number of children to the nearest ten.
a) Compare 53 and 47.
Compare the tens. 5 tens is greater than 4 tens.
53 is greater than 47. 53 > 47
b) Compare 53 and 59.
53 is less than 59. 53 < 59
c) Compare 53, 47 and 59.
47 is the least number. 59 is the greatest number.
Arrange the numbers in order. Begin with the greatest. , , (greatest)
First, compare the tens. They are the same. Then, compare the ones. 3 ones is less than 9 ones.
First, compare the tens. 4 tens is less than 5 tens.
Then, compare the ones of 53 and 59. 9 ones is greater than 3 ones.
d) Compare 106, 99 and 102.
First, compare the hundreds. 0 hundreds is less than 1 hundred.
Next, compare the tens of 106 and 102. They are the same. Then, compare the ones of 106 and 102. 6 ones is greater than 2 ones.
99 is the least number. 106 is the greatest number.
Arrange the numbers in order. Begin with the least. , , (least)
Let's Do Let's Do
1. Write greater than or less than.
2. Write > or <. a) 44 69 b) 87 84
3. Arrange 86, 49 and 94 in order. Begin with the least. , ,
1. Write > or <.
2. Circle True or False.
a) 56 < 65 True / False
b) 95 > 101 True / False
c) 120 < 112 True / False
3. Arrange the numbers in order. Begin with the given number.
I have learnt to... find 1, 2, 5 or 10 more than or less than a given number describe and complete number patterns read numbers to 120 on a number line round numbers to the nearest tens compare and order numbers within 120
You will learn to…
• solve non-routine problems involving numbers up to 120
Let's Learn Let's Learn
Adele arranges three numbers in order. 33 is the greatest and 24 is the least. The third number has 3 tens and at least 1 one. What can the third number be?
1 Plan what to do.
2 Work out the Answer
4
3 Check if your answer is correct.
My answer is correct. Understand the problem.
How many numbers are there? What number is the greatest? What number is the least? What do I know about the third number? What do I have to find?
I can make a list to solve the problem.
The third number is greater than 24 but less than 33.
The third number can be 25, 26, 27, 28, 29, 30, 31 or 32.
The third number has 3 tens and at least 1 one. Only 31 and 32 have 3 tens and at least 1 one. So, the third number can be 31 or 32.
Both 31 and 32 are greater than 24 but less than 33. Both 31 and 32 have 3 tens and at least 1 one.
+ Plus Solve the problem in another way.
The third number is greater than 24 but less than 33. Draw a number line.
From the number line, 25, 26, 27, 28, 29, 30, 31 and 32 are greater than 24, but less than 33.
The third number has 3 tens and at least 1 one. So, the third number can be 31 or 32.
Compare the methods in steps 3 and 5. Which method do you prefer? Why?
1. Understand 2. Plan 3. Answer 4. Check 5. Plus
Let's Do Let's Do
Oscar and Sarah are in a queue to buy tickets for a football match. There are 11 people between Oscar and Sarah.
Oscar's queue number is 101.
Sarah is in front of Oscar. What is Sarah’s queue number?
Strategy: Draw a picture.
Sarah’s queue number is 89. 11 people
I have learnt to... solve non-routine problems involving numbers up to 120
>> Look at EXPLORE on page 2 again. Fill in column 3. Can you solve the problem now?