Crossing the Five Barrier

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

Achievement Objectives
NA1-1: Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions.
Specific Learning Outcomes

Solve addition problems to 20 by counting all the objects in their head.

Solve subtraction problems from 20 by counting all the objects in their head.

Description of Mathematics

Number Framework Stage 3

Required Resource Materials
Ten Frames (Material Master 4-6)

Blank card

Counters

Activity

Using Materials

Problem: Work out 3 + 4. Record 3 + 4 on the board. Show a tens frame pre-printed with 3 dots. Ask the students to point where 4 more counters would go and work out 3 + 4. Check by adding 4 counters. Record the answer.

Examples. Word stories and recording for: 3 + 3, 6 + 3, 2 +? = 6, 6 - ? = 2, 6 - 4, 4 +4, 8 -? = 4

Using Imaging Shielding:

Problem. Find 7 - ? = 4 Record 7 – ? = 4 on the board. Hide a pre-printed tens frame showing 7 dots and ask the students to picture what you can see. Then picture removing 3 dots. Let them draw in the air if this helps. Fold back if necessary by showing 7 dots and shielding 3 of the dots. Record the answer. Examples. Word stories and recording for: 3 +? = 7, ? + 4 = 8, 4 + ? = 9, ? + 2 = 8, 3 +4, 8 -2 …

Imaging Only:

Examples. Word stories and recording for: 2 + ? = 6, 8 - ? = 4 …

Challenging examples.

Problem: Angus has some money. He spends $4. Now he has $3. How much did he start with? Word stories and recording for: ? – 3 = 3, ? – 4 = 3, ? – 3 = 6, ? – 2 = 8 …

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Level One