 # Progression of Skills

Progression of Number Skills, Concepts and Mental Maths Strategies

Maths Strategies:

Chunking: The child finds the sum of the numbers mentally, by chunking one of the numbers to allow them to make the problem easier to add mentally. The ‘bubbles’ indicate what the child might be thinking.

Counting on: Students start with a number and count on 1, 2, 3. For example, if the question is 5 + 2, students count 5, 6, 7. Note: This strategy is only useful for adding 1, 2, or 3.

Using Doubles: The first fact combinations students often learn are doubles. Examples:

2+2=                                                      3+3=                                                   4+4=

Making Ten: Students make combinations that equal 10. Then they extend to make combinations that are multiples of 10. Examples: 6+4=10 extends to 76+4=80. This can then be extended to 10+4=14 or 50+8=58

Thinking Strategies for Subtraction

Counting Back: Students start with a number and count backwards. If the question is 5 - 2, students count 5, 4, 3. Note: This strategy is only useful for subtracting 1, 2 or 3.

Counting Up: Students start with a number being subtracted and count up to the number from which it is being subtracted. For example, for the question 9 - 7, students can count 8, 9.

Make Ten and Then Some: Give a subtraction question such as 14 - 8 = ?, students start with the part (8), add-on to make 10 (i.e., 8 + 2), then add-on from 10 to make 14 (10 + 4). Then the students add the numbers they added-on to make 14 (4 + 2 = 6).

Using Doubles: For the question 13 - 6 = ?, students think addition using doubles. For example, 6 + 6 = 12, then add-on 1 to make 13, so 6 + 1 = 7.

Think in Patterns

Skip Counting: Starting at any number, students skip count by 10s, 2s, 3s, 5s. For example, ask students to skip count by 10s starting at 46.

100 Chart: Make sure a 100 chart is visible in your classroom and that students have access to desk-size charts. Refer to the chart and practise counting skills or the chart regularly.

Chaining Operations: Example: 8 + 2 + 4 + 6 - 3 = ? (Note: choose combinations that end in multiples of 10 to encourage students' visualization of the 10 frame.) 5 + 7 = 12

Progression of Number Skills, Concepts and Mental Maths Strategies

Mental Maths Strategies: (Year 1)

The child finds the sum of the numbers mentally, by chunking one of the numbers to allow them to make the problem easier to add mentally. The ‘bubbles’ indicate what the child might be thinking.

5 + 7 = 12