ADDITION AND SUBTRACTION 22 PATTERNS AND ALGEBRA 19 – TEACHING MISSING NUMBER SENTENCES WITH RELATIONSHIP BETWEEN ADDITION AND SUBTRACTION
ESSENTIAL PRIOR, RELATED AND NEXT LEARNING
Identify students’ current levels of understanding using tracking data, and formative embedded or separate assessment for this concept, and for the essential prior learning.
Differentiate learning
by including the
segment of each
Teaching Plan that
children demonstrate
they are ready to
investigate.
Essential Prior Learning
Place Value 17 – Place value of four-digit
numbers
Addition and Subtraction 12, Patterns and
Algebra 7 – Equivalent number sentences
and the equals sign meaning equality
Addition and Subtraction 17 - Add and
subtract two-digit numbers
Essential Related Learning
Addition and Subtraction 21 – Add
and subtract three- and four-digit
numbers using place value
Essential Next Learning
Addition and Subtraction 23 – Add and
subtract three- and four-digit numbers as
money, using place value
Addition and Subtraction 24 – Add and
subtract five-digit numbers, including as
money, using place value
Use assessment data to select the levels of this concept, or essential related concepts, and the segments of each explicit teaching plan, to teach.
TEACHING VIDEOS, EXPLICIT TEACHING PLAN, INVESTIGATION, REFLECTION, PROBLEM SOLVING
The videos and the explicit teaching plan are divided into the same segments of the concept.
TEACHING SEGMENT and VIDEO 1: Solve missing and equivalent number sentences, explaining equality and the relationship between addition and subtraction.
VIEW the videos before teaching, to develop YOUR understanding and metalanguage, then teach the concept using YOUR understanding and metalanguage and the Explicit
Teaching PowerPoint, and/or SHOW the video to the whole class / groups of children / individual children to develop THEIR understanding and metalanguage
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ADDITION AND SUBTRACTION 22 PATTERNS AND ALGEBRA 19 – TEACHING MISSING NUMBER SENTENCES WITH RELATIONSHIP BETWEEN ADDITION AND SUBTRACTION
ADDITION AND SUBTRACTION 22, PATTERNS AND ALGEBRA 19_OVERVIEW OF EXPLICIT TEACHING PLAN
(Year 3) ACMNA054, ACMNA055, NSW MA2-5NA
Solve missing and equivalent number sentences, explaining equality and the relationship between addition and subtraction.
THIS IS A SUMMARY OF THE EXPLICIT TEACHING PLAN, DESCRIBING THE SEQUENCE WHICH WILL OCCUR OVER MULTIPLE LESSONS. THE COMPLETE EXPLICIT TEACHING PLAN STARTS ON PAGE 3.
Children
SEGMENT 1: Children:
Solve missing  record an addition number sentence, for example, 24 + 38  ask one another questions about solving missing and equivalent
number sentences and the relationship between addition and
and equivalent
= 62
subtraction, for example:
number
 record 2 related subtraction number sentences, for
sentences,
 How could we record an addition number sentence?
example, 62 – 24 = 38 and 62 – 38 = 24
explaining
 How could we record 2 relayed subtraction number sentences?
equality and
the
 What does the equals sign mean?
 explain the equals sign means equality
relationship
between
 What does the left side of the equals sign equal?
 record equivalent number sentences, for example,
addition and
 What does the right side of the number line have to equal?
___ + ___ = ___ - ___ ,
subtraction.
27 + 17 = ___ - ___ ,
27 + 17 = 50 – 6
 How can we work out what number is missing from this number
 record a missing number sentence, for example,
sentence?
27 + 17 = 45 - ____
or
24 + ___ = 45 – 1

Use the meaning of the equals sign to work out the
missing number, for example,
27 + 17 = 45 - _1_
or
24 + _20_ = 45 – 1
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 What does the left side of the equals sign equal?
 What does the right side of the equals sign have to equal?
 What number will make both sides of the equals sign equal?
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ADDITION AND SUBTRACTION 22 PATTERNS AND ALGEBRA 19 – TEACHING MISSING NUMBER SENTENCES WITH RELATIONSHIP BETWEEN ADDITION AND SUBTRACTION
ADDITION AND SUBTRACTION 22, PATTERNS AND ALGEBRA 19_EXPLICIT TEACHING PLAN
(Year 3) ACMNA054, ACMNA055, NSW MA2-5NA
THIS IS THE FULL LEARNING PLAN, WITH DETAILS OF ACTIONS AND QUESTIONS THAT MAY BE USED TO DEVELOP DEEP UNDERSTANDING OVER MULTIPLE LESSONS.
Resources: Playing cards, card with equals sign, pencil, paper
What could we do?
Focuses
children’s
Children think about, talk and listen to a friend talk about, then have
thoughts on the the opportunity to share what they already know.
concept, exposing
current
understanding and
any
misconceptions
What language could we use to explain and ask questions?
►
Today brings an investigation about addition and
subtraction.
►
What do you know about addition and subtraction?
►
Talk about addition and subtraction with a friend.
►
Is anyone ready to share what they are thinking about
addition and subtraction?
►
We’ve investigated addition and subtraction.
►
And we found that addition is joining groups together.
►
And we found that subtraction is starting with one group
and taking away from it.
►
Let’s record an addition number sentence.
►
If we know that 24 plus 38 equals 62, what would we get
if we subtracted 24 from 62?
►
Would we get 38?
Reviews
addition and
subtraction.
(Addition and
Subtraction 3-21)
Introduces the
relationship
between addition
and subtraction.
Record, for example, 24 + 38 = 62
Record, for example, 62 – 24 = 38
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ADDITION AND SUBTRACTION 22 PATTERNS AND ALGEBRA 19 – TEACHING MISSING NUMBER SENTENCES WITH RELATIONSHIP BETWEEN ADDITION AND SUBTRACTION
Record, for example, 62 – 38 = 24
►
If we know that 24 plus 38 equals 62, what would we get
if we subtracted 38 from 62?
►
Would we get 24?
►
Today we’re going to investigate number sentences involving
addition and subtraction.
►
What do you know about this symbol?
►
We’ve investigated this symbol.
►
And we found that this symbols says ‘equals’.
►
We found that this symbol means equality – that both
sides are equal.
►
Here we have a number sentence.
►
Let's select numbers to make this number sentence true.
►
What does the equals sign mean?
►
Does the equals sign mean equality?
►
Does the equals sign mean both sides are equal?
►
What numbers could we use on the left side of the
equals sign?
►
Could we use 27 plus 17?
►
What does the left side of our equals sign equal?
►
Does the left side of our equals sign equal 44?
►
What does the right side of our equals sign have to
equal?
Reviews
the equals sign as Display an equals sign, for example, =
meaning equality.
(Addition and
Subtraction 12,
Patterns and
Algebra 7)
Introduces
Display an equivalent number sentence, for example,
creating
___ + ___ = ___ - ___
equivalent number
sentences using
addition and
subtraction.
Allow children to suggest numbers we could use on the left side of
the equals sign, for example, 27 + 17 = ___ - ___
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Email: [email protected]
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ADDITION AND SUBTRACTION 22 PATTERNS AND ALGEBRA 19 – TEACHING MISSING NUMBER SENTENCES WITH RELATIONSHIP BETWEEN ADDITION AND SUBTRACTION
►
Does the right side of our equals sign have to equal 44 as
well?
►
What numbers could we use on the right side of the
equals sign to equal 44?
Record 50 minus 6, on the right side of the equals sign, for example,
►
Could we use 50 minus 6?
27 + 17 = 50 - 6
►
Is this number sentence true?
►
Are both sides of the equal sign equal?
►
Do both sides equal 44?
Record 45 minus, on the right side of the equals sign, for example,
►
What if our number sentence said 27 plus 17 = 45 minus?
27 + 17 = 45 - ____
►
How could we work out the missing number?
►
What does the left side of the equals sign equal?
►
Does the left side equal 44?
►
What does the right side of the equals sign have to
equal?
►
Does the right side have to equal 44 as well?
►
45 minus what equals 44?
►
Does 45 minus 1 equal 44?
►
Is the missing number 1?
►
What if our number sentence said 24 plus something =
45 minus 1?
►
How could we work out the missing number?
►
What does the right side of the equals sign equal?
Record 45 minus, on the right side of the equals sign, for example,
27 + 17 = 45 - _1_
Record 24 plus something = 45 minus 1, for example,
24 + ___ = 45 - 1
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Email: [email protected]
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ADDITION AND SUBTRACTION 22 PATTERNS AND ALGEBRA 19 – TEACHING MISSING NUMBER SENTENCES WITH RELATIONSHIP BETWEEN ADDITION AND SUBTRACTION
Record 24 plus 20, on the left side of the equals sign, for example,
24 + _20_ = 45 - 1
►
Does the right side equal 44?
►
What does the left side of the equals sign have to equal?
►
Does the left side have to equal 44 as well?
►
24 plus what equals 44?
►
Does 24 plus 20 equal 44?
►
Is the missing number 20?
Introduces
the investigation,
reflection and
problem solving
related to this
segment of the
concept.
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Email: [email protected]
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