Adding numbers to ten

Adding numbers to ten

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about writing numbers that add to ten.

Complete the following equations that add to ten.

Question 1Change answer

a)  4 + 2 +   = 10

b)  2 +   + 3 = 10

c)  3 + 6 +   = 10

d)   + 4 + 3 = 10

e)  1 +   + 7 = 10

Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
2
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Keywords: 
equations, addition, basic facts
Description of task: 
Students find and write the numbers to complete equations that add to 10.
Curriculum Links: 
This resource can be used to help to identify students' ability to partition whole numbers.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, set 3
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

Y5 (05/2005)

a)
b)
c)
d)
e)

4
5
1
3
2

very easy
(for all 5 correct)

These results are based on a trial set of 149 Y5 students.

Teaching and learning: 

Students could solve these equations in a number of ways - by counting on, counting back (Stage 4: Advanced counting - strategy, from The Number framework, book 1, 2004) or by simply recalling them as addition and subtraction facts (addition facts to 10 is at Stage 4: Advanced counting - knowledge).

Diagnostic and formative information: 
  Common error Likely calculation Likely misconception
b) i)
b) iv)		 6
7		 4 + 2 = 6
4 + 3 = 7		 Adds the numbers given rather than seeking a solution that adds to 10.
b) iii)
b) v)		 4
3		 6 + 4 = 10
3 + 7 = 10		 Ignores '3 +' or '1 + '.

 

Next steps: 

Once students are comfortable and confident with equations that total to ten and are calculating without materials or pictures, get them to solve similar problems that total to twenty. 

Give students problems similar to those in part b) but with two missing numbers, for example

 4 +  +  = 10

Encourage students to explore the relationships between the numbers by getting them to find all the possible combinations of numbers that would correctly solve the problem (including  0).