Magical Tens

Purpose

This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.
A PDF of the student activity is included.

Achievement Objectives
NA2-1: Use simple additive strategies with whole numbers and fractions.
Student Activity

Click on the image to enlarge it. Click again to close. Download PDF (211 KB)

Specific Learning Outcomes

use additive strategies (make a ten) to solve addition problems

Required Resource Materials
counters

photocopy of a "Make Ten" board

FIO, Levels 3-4, Basic Facts, Magical Tens, page 11

classmate

Activity

This activity will help students to bridge through 10 or a multiple of 10 as a mental strategy for addition. Initially, a Make Tens board is used as a model. Students are then encouraged to visualise the process, and finally, to work with numbers in their mind only.
Using the Make Tens board as a model for the calculation 8 + 7, it is useful to see the 7 as 5 + 2, taking the 8 up to 10, and then adding the remaining 5. To help the students split the numbers, you could ask questions like: “What do you need to add to 87 to make the next multiple of 10?” or “What two parts will you break the 6 into?” Using these models and activities, the students should see how useful part-whole thinking is.
The students can use a Make Tens board to check their answers to question 3.
Another good model for the same strategy is a number line. Encourage the students to visualise from this model using the same process.
For example:

model.

Magical Tens is complemented by the activity on page 14 of the student booklet, which uses subtraction.

Answers to Activity

1. a. 18 + 7 = 25
board.
b. 28 + 7 = 35
board.
c. 38 + 7 = 45
baord.

2. Discussion may vary, but the statements on the boards could be written as:
a. 9 + 6 = 10 + 5
= 15
b. 7 + 6 = 10 + 3
= 13
c. 9 + 8 = 10 + 7
= 17
d. 8 + 7 = 10 + 5
= 15
3. a. 20 + 5
b. 30 + 5
c. 60 + 5
d. 90 + 5
e. 30 + 3
f. 50 + 3
g. 80 + 3
h. 90 + 3
4. a. 19 + 8 = 20 + 7
= 27
b. 59 + 8 = 60 + 7
= 67
c. 109 + 8 = 110 + 7
= 117
d. 1 009 + 8 = 1 010 + 7
= 1 017
e. 47 + 6 = 50 + 3
= 53
f. 67 + 6 = 70 + 3
= 73
g. 237 + 6 = 240 + 3
= 243
h. 997 + 6 = 1 000 + 3
= 1 003

Attachments

Printed from https://nzmaths.co.nz/resource/magical-tens at 2:12am on the 15th May 2024