ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
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 Related Learning
Place Value 19 – Place value of five-digit numbers
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: Add and subtract combinations of even and odd numbers, using the relationships to check calculations.
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.
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
1
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21_OVERVIEW OF TEACHING PLAN
(Year 4) ACMNA071, NSW MA1-5NA
Add and subtract combinations of even and odd numbers, using the relationships to check calculations.
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:
Add and
 add 2 even numbers = even, for example, 6 + 8 = 14
subtract
 subtract 2 even numbers = even, for example, 8 – 6 = 2
combinations
 add 2 odd numbers = odd, for example, 5 + 7 = 12
of odd and
even numbers.  subtract 2 odd numbers = odd, for example, 7 – 5 = 2
 add 3 odd / even numbers = odd, for example,
 add 1 odd and 2 even numbers = odd, for example,
 add 1 even and 2 odd numbers, for example,
Use
relationships
to check
calculations.
 use the
relationships
to check
calculations.
Children
 ask one another questions about adding and subtracting
combinations of odd and even numbers, for example:
 If we add / subtract 2 even numbers, do we get an odd
or an even number?
 If we add / subtract 2 odd numbers, do we get an odd
or an even number?
 If we add / subtract 1 even and 1 odd number, do we
get an odd or an even number?
 If we add 3 odd numbers, do we get an odd or an even
number?
 If we add 3 even numbers, do we get an odd or an
even number?
 If we add 2 odd and 1 even number, do we get an odd
or an even number?
 If we add 1 odd and 2 even numbers, do we get an
odd or an even number?

Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
How can we use these relationships to check addition
and subtraction calculations?
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
2
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21_EXPLICIT TEACHNING PLAN
(Year 4) ACMNA071, NSW MA1-5NA
THIS IS THE FULL LEARNING PLAN, WITH DETAILS OF ACTIONS AND QUESTIONS THAT MAY BE USED TO DEVELOP DEEP UNDERSTANDING OVER MULTIPLE LESSONS.
Resources: cards, pencil, paper
Focuses
What could we do?
children’s
thoughts on the Children think about, talk and listen to a friend about, then have the
concept, exposing opportunity to share what they already know.
current
understanding and
any
misconceptions
What language could we use to explain and ask questions?
►
Today brings an investigation about adding and
subtracting odd and even numbers.
►
What do you know about adding and subtracting odd
and even numbers?
►
Talk about adding and subtracting odd and even
numbers with a friend.
►
Is anyone ready to share what they are thinking about
adding and subtracting odd and even numbers?
Reviews
odd and even
numbers.
(Patterns and
Algebra 9, 10
Fractions and
Decimals 2)
Record, for example, even 2 4 6 8
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
►
We’ve investigated even and odd numbers.
►
And we found that even numbers can be halved to make a
whole number with no remainder.
►
And odd numbers cannot be halved and make a whole
number with no remainder.
►
We found that 2, 4, 6 and 8 are even numbers, because
we can halve 2 or 4 or 6 or 8 and make whole numbers
with no remainder.
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
3
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Record, for example, odd 1 3 5 7 9
Add zero to the list, for example, even 2 4 6 8 0
Introduces
adding 2 even
numbers makes
an even number.
Select 2 cards with even numbers on them, for example,
Record, for example, 6 + 8 =
Record, for example, 6 + 8 = 14
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
►
And we found that 1, 3, 5, 7 and 9 are odd numbers,
because we can’t halve 1 or 3 or 5 or 7 or 9 and make
whole numbers with no remainder.
►
What about zero?
►
Is zero an even number? Let's check!
►
If we halve zero will we get a whole number or a whole
number with 1 remaining?
►
Half of zero is zero.
►
Zero is a whole number and there is no remainder.
►
So zero is an even number.
►
Today we’re going to investigate adding and subtracting
even numbers to even numbers, adding and subtracting
odd numbers to odd numbers, and adding and subtracting
combinations of odd and even numbers.
►
Let’s add 2 even numbers.
►
What numbers did we select?
►
Did we select 6 and 8?
►
Are 6 and 8 both even numbers?
►
So we’re going to add 2 even numbers.
►
Let’s record our number sentence.
►
What does 6 plus 8 equal?
►
Does 6 plus 8 equal 14?
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
4
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
►
When we added 2 even numbers, did we make an even
number or an odd number?
►
Is 14 even or odd?
►
Is 14 even?
►
If we halve 14, will we make a whole number with no
remainder?
►
Let’s look at the ones digit in 14.
►
The ones digit is 4.
►
Is 4 an even number?
►
If the ones digit is even, is the number even? Let’s
investigate!
►
What does place value tell us about 14?
►
Is 14 1 ten and 4 ones?
►
Are all tens numbers even?
►
Is 10 even?
►
Is 20 even?
►
Is 30 even?
►
If all tens numbers are even, do we just need to look at
the ones digit to tell if a number is odd or even?
►
So we added 2 even numbers and we made an even
number!
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
5
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Introduces
Display the 2 cards with even numbers on them, for example,
subtracting an
even number from
an even number
makes an even
number.
►
What do you think we’ll get if we subtract an even number
from an even number? Let’s investigate!
►
Let’s use the same 2 even numbers.
►
So we’re going to subtract an even number from an even
number.
►
Let’s record our number sentence.
►
What does 6 minus 8 equal?
►
Does 6 minus 8 equal 2?
►
When we subtracted an even number from an even
number, did we make an even number or an odd number?
►
Is 2 even or odd?
►
Is 2 even?
►
If we halve 2, will we make a whole number with no
remainder?
►
So we subtracted an even number from an even number
and we made an even number!
Record, for example, 8 - 6 =
Record, for example, 8 - 6 = 2
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
6
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Introduces
Select 2 cards with odd numbers on them, for example,
adding 2 odd
numbers makes
an even number.
Record, for example, 7 + 5 =
Record, for example, 7 + 5 = 12
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
►
What do you think we’ll get if we add 2 odd numbers? Let’s
investigate!
►
Let’s select 2 odd numbers.
►
What numbers did we select?
►
Did we select 7 and 5?
►
Are 7 and 5 both odd numbers?
►
So we’re going to add 2 odd numbers.
►
Let’s record our number sentence.
►
What does 7 plus 5 equal?
►
Does 7 plus 5 equal 12?
►
When we added 2 odd numbers, did we make an even
number or an odd number?
►
Is 12 even or odd?
►
Is 12 even?
►
If we halve 12, will we make a whole number with no
remainder?
►
Let’s look at the ones digit in 12.
►
The ones digit is 2.
►
Is 2 an even number?
►
If the ones digit is even, is the number even?
►
What does place value tell us about 12?
►
Is 12 1 ten and 2 ones?
►
Are all tens numbers even?
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
7
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Introduces
subtracting an
odd number from
an odd number
makes an even
number.
Display the 2 cards with odd numbers on them, for example,
Record, for example, 7 - 5 =
Record, for example, 7 - 5 = 2
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
►
Is 10 even?
►
Is 20 even?
►
Is 30 even?
►
If all tens numbers are even, do we just need to look at
the ones digit to tell if a number is odd or even?
►
So we added 2 odd numbers and we made an even
number!
►
What do you think we’ll get if we subtract an odd number from
an odd number? Let’s investigate!
►
Let’s use the same 2 odd numbers.
►
So we’re going to subtract an odd number from an odd
number.
►
Let’s record our number sentence.
►
What does 7 minus 5 equal?
►
Does 7 minus 5 equal 2?
►
When we subtracted an odd number from an odd
number, did we make an even number or an odd number?
►
Is 2 even or odd?
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
8
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Introduces
adding an odd
number to an
even number
makes an odd
number.
Select 2 cards, 1 with an odd number and 1 with an even number, for
example,
►
Is 2 even?
►
If we halve 2, will we make a whole number with no
remainder?
►
So we subtracted an even number from an even number
and we made an even number!
►
What do you think we’ll get if we add 1 odd number and 1 even
number? Let’s investigate!
►
Let’s select an odd number and an even number to add.
►
What numbers did we select?
►
Did we select 7 and 2?
►
Are 7 odd and is 2 even?
►
So we’re going to add an odd and an even number.
►
Let’s record our number sentence.
►
What does 7 plus 2 equal?
►
Does 7 plus 2 equal 9?
►
When we added an odd and an even number, did we
make an even number or an odd number?
►
Is 9 even or odd?
►
Is 9 odd?
►
So we added an odd and an even number and we made an
odd number!
Record, for example, 7 + 2 =
Record, for example, 7 + 2 = 9
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
9
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Introduces
Display the 2 cards with odd and even number, for example,
subtracting an
even number from
an odd number
makes an odd
number.
Record, for example, 7 - 2 =
Record, for example, 7 - 2 = 5
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
►
What do you think we’ll get if we subtract an even number
from an odd number? Let’s investigate!
►
Let’s use the same odd and even number.
►
So we’re going to subtract an even number from an odd
number.
►
Let’s record our number sentence.
►
What does 7 minus 2 equal?
►
Does 7 minus 2 equal 5?
►
When we subtracted an even number from an odd
number, did we make an even number or an odd number?
►
Is 5 even or odd?
►
Is 5 odd?
►
If we halve 5, will we make a whole number with no
remainder?
►
So we subtracted an even number from an odd number
and we made an odd number!
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
10
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Introduces using
the relationships
in adding and
subtracting
combinations of
odd and even
numbers to check
calculations.
As children add and subtract numbers, they check their calculations using their understanding of adding and subtracting combinations of odd and even
numbers for example,
2 odd numbers, therefore the sum will be even.
2 odd numbers, therefore the difference will be even.
2 even numbers, therefore the sum will be even.
2 even numbers, therefore the difference will be even.
1 odd and 1 even number, therefore the sum will be odd.
1 odd and 1 even number, therefore the difference will be odd.
3 odd numbers, therefore the sum will be odd.
3 even numbers, therefore the sum will be even.
1 odd and 2 even number, therefore the sum will be odd.
2 odd and 1 even number, therefore the sum will be even.
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
11
ADDITION AND SUBTRACTION 25, PATTERNS AND ALGEBRA 21 – TEACHING ADDING AND SUBTRACTING ODD AND EVEN NUMBERS
Introduces
the investigation,
reflection and
problem solving
related to this
segment of the
concept.
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
12