Addition and Subtraction 27, Patterns and Algebra 24_Guided and Independent Investigations
(Year 3) ACMNA083, NSW MA2 5NA, MA2-8NA
Use equivalent number sentences involving addition and subtraction to find unknown quantities.
INDEPENDENT INVESTIGATION
Children investigate and explain independently over many lessons at their current level of
understanding informing both themselves and the teacher of their current level of
understanding
GUIDED INVESTIGATION
Children learn how to investigate the concept by following teacher’s
instructions until they are ready to investigate the concept independently.
Resources:
playing cards, pencil, paper
What could we do?
Children:
1. sit in pairs
2. create or select addition and
subtraction problems
involving equivalent number
sentences to find unknown
quantities as guided by the
teacher
3. find the unknown quantity in
the equivalent number
sentence
What language could we use to ask
What could we do?
questions and explain?
 What does our addition and Children:
subtraction problem say?
1. sit in pairs
 How could we record an
2. create or select addition and
equivalent number sentence
subtraction problems involving
to find the unknown
equivalent number sentences to
number?
find unknown quantities that is
neither too easy nor too challenging
 How could we solve our
equivalent number
3. find the unknown quantity in the
sentence?
equivalent number sentence
REFLECTION Before, during and after lessons, children discuss then record responses to
reflection questions to inform themselves and the teacher of their current level of
understanding
What language could we use to explain?
 My addition and subtraction
problem say...
 I recorded the problem in an
equivalent number sentence as ...
 I solved the equivalent number
sentence by …
• What does the equals symbol mean?
• How can we record addition and subtraction problems in equivalent number
sentences?
• How does knowing what the equals sign means help us to create and solve
equivalent number sentences?
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1
If you can’t explain it
simply, you don’t
understand it well enough.
CONGRUENT INVESTIGATIONS
These investigations allow children to investigate and explain the concept in new and varied situations, providing formative assessment
data for both the child and the teacher.
‘Doing’ mathematics is not enough and is not a good indicator of understanding.
Anyone who has
Investigation takes time as children develop both the capacity and meta-language to explain mathematical concepts
never made a
at their current level of understanding.
mistake has never
tried anything new.
As they investigate, allow children to experience confusion (problematic knowledge) and to make mistakes to develop
resilience and deep understanding,


In pairs, children select addition and subtraction problems involving equivalent number sentences to find unknown
quantities, for example,
►
When a number is added to 14, the answer is the same as 27 minus 9. What is the number?
►
When a number is added to 32, the answer is the same as 67 minus 16. What is the number?
►
When a number is added to 136, the answer is the same as 267 minus 84. What is the number?
►
When a number is subtracted from 43, the answer is the same as 25 plus 9. What is the number?
►
When a number is subtracted from 87, the answer is the same as 34 plus 19. What is the number?
►
When a number is subtracted from 237, the answer is the same as 124 plus 56. What is the number?
In pairs, children create addition and subtraction problems involving equivalent number sentences to find unknown
quantities.
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
2
Investigating Equivalent Number Sentences involving Addition and Subtraction to
find Unknown Numbers
ADDITION AND SUBTRACTION 27, PATTERNS AND ALGEBRA 24, Use equivalent number sentences involving addition
and subtraction to find unknown quantities
Select and solve addition and subtraction problems involving equivalent number sentences to find
unknown quantities, for example,
•
When a number is added to 14, the answer is the same as 27 minus 9. What is the
number?
•
When a number is added to 32, the answer is the same as 67 minus 16. What is the
number?
•
When a number is added to 136, the answer is the same as 267 minus 84. What is the
number?
•
When a number is subtracted from 43, the answer is the same as 25 plus 9. What is the
number?
•
When a number is subtracted from 87, the answer is the same as 34 plus 19. What is the
number?
•
When a number is subtracted from 237, the answer is the same as 124 plus 56. What is
the number?
http://www.alearningplace.com.au
Investigating Equivalent Number Sentences involving Addition and Subtraction to
find Unknown Numbers
ADDITION AND SUBTRACTION 27, PATTERNS AND ALGEBRA 24, Use equivalent number sentences involving addition
and subtraction to find unknown quantities
Create and solve addition and subtraction problems involving equivalent number sentences to find
unknown quantities.
http://www.alearningplace.com.au