Children
ADDITION AND SUBTRACTION, 10 PATTERNS ALGEBRA 5_PROBLEM SOLVING
(Year 1) ACMNA015, NSW MA1 5NA, MA1 8NA
Add and Subtract Zero.
PROBLEM SOLVING
Problems allow children to investigate concepts in new and varied situations. Any problem worth solving takes time and effort
– that’s why they’re called problems!
Problems are designed to develop and use higher order thinking. Allowing children to grapple with problems, providing minimal
support by asking strategic questions, is key. Differentiating problems allows children to solve simpler problems, before solving
more complex problems on a concept.
Problems may not always be solved the first time they are presented – or at all. The focus of problem solving is the development
of problem solving understanding and capacity – not mastery! Returning to a problem after further learning, develops both
resilience and increased confidence as children take the necessary time and input the necessary effort.
After solving problems, children also create their own problems.
Create 3 levels of a problem. GUIDE children through the first level using the problem solving steps. Allow children to investigate the second level
with friends, with minimal guidance. Allow children to investigate the third level INDEPENDENTly. Children create their own problem.
Teaching Segment and Video 1:
Add zero
These problems are directly linked to Explicit Teaching and appear on this PDF, are embedded in the Explicit Teaching Plan, appear on the Investigation
PDF and the Explicit Teaching PowerPoint, and are differentiated into 3 levels on the Problem Solving PowerPoint.

Lola collected 45 cans. Jill collected zero cans. How many cans did Lola and Jill collect altogether? (45)
Subtract zero

Altogether Lola and Jill had 63 cans. Jill collected zero cans. How many cans did Lola collect? (63)
Add zero on a calculator

Jenny showed this number on his calculator. 58 She subtracted zero.
Jenny's calculator? (58)
Subtract zero on a calculator

Jenny showed this number on his calculator. 58 She added zero.
calculator? (58)
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What number is now showing on
What number is now showing on Jenny's
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More problems
These problems are not directly linked to Explicit Teaching and appear here and are differentiated into 3 levels on the Problem Solving PowerPoint.
Subtract zero 1

April wrote this correct number sentence. 56 - 0 = 56. Which of these number sentences is also correct?
56 - 56 = 0
0 - 56 = 56 (56 – 56 = 0)
Add zero 1

April wrote this correct number sentence. 56 + 0 = 56. Which of these number sentences is also correct?
56 + 56 = 0
0 + 56 = 56 (0 + 56 = 56)
Add zero 2

Matt thought of a number. He subtracted 0. The answer was 35. What number did Matt first think of? (35)
Zero oranges

I have 12 more apples than oranges. I have zero oranges. How many apples do I have? (12)
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Problem Solving
ADDITION AND SUBTRACTION 10 PATTERNS ALEGEBRA 5 Add and Subtract Zero.
Lola collected 45 cans.
Jill collected zero cans.
How many cans did Lola and Jill collect altogether?
Hint: Change the number of cans, and allow children
to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
ADDITION AND SUBTRACTION 10 PATTERNS ALEGEBRA 5 Add and Subtract Zero.
Altogether Lola and Jill had 63 cans.
Jill collected zero cans.
How many cans did Lola collect?
Hint: Change the number of cans, and allow children
to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
ADDITION AND SUBTRACTION 10 PATTERNS ALEGEBRA 5 Add and Subtract Zero.
Jenny showed this number on his calculator. 58
She subtracted zero.
What number is now showing on Jenny's calculator?
Hint: Change the number, and allow children to solve
again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
ADDITION AND SUBTRACTION 10 PATTERNS ALEGEBRA 5 Add and Subtract Zero.
Jenny showed this number on his calculator. 58
She added zero.
What number is now showing on Jenny's calculator?
Hint: Change the number, and allow children to solve
again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
ADDITION AND SUBTRACTION 10 PATTERNS ALEGEBRA 5 Add and Subtract Zero.
April wrote this correct number sentence. 56 - 0 = 56.
Which of these number sentences is also correct?
56 - 56 = 0
0 - 56 = 56
Hint: Change the number sentence, and allow children
to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
ADDITION AND SUBTRACTION 10 PATTERNS ALEGEBRA 5 Add and Subtract Zero.
April wrote this correct number sentence.
56 + 0 = 56.
Which of these number sentences is also correct?
56 + 56 = 0
0 + 56 = 56
Hint: Change the number sentence, and allow children to
solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
ADDITION AND SUBTRACTION 10 PATTERNS ALEGEBRA 5 Add and Subtract Zero.
Matt thought of a number.
He subtracted 0.
The answer was 35.
What number did Matt first think of?
Hint: Change the number, and allow children to solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving
ADDITION AND SUBTRACTION 10 PATTERNS ALEGEBRA 5 Add and Subtract Zero.
I have 12 more apples than oranges.
I have zero oranges.
How many apples do I have?
Hint: Change the number of apples, and allow children to
solve again!
Make up your own problem!
http://www.alearningplace.com.au
Problem Solving Steps (back to Problems)
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