Transcript Negative Numbers - Growth Mindset Maths

Negative Numbers
Adding and Subtracting Negative
numbers
Number skills - Calculate using mental and written methods - Negative numbers
Bronze
Yr 4
Identify negative
whole numbers
on a number line
Order whole
numbers between
-10 and 10
Silver
Yr 5
Order negative
and positive
numbers,
including
decimals to 1
decimal place
Gold
Yr 6
Platinum
Yr 7
Add or subtract
negative or
positive numbers
using a number
line
add and subtract
with negative
numbers using
mental methods
Yr 8
Yr 9
multiply and
divide with
negative numbers
using mental
methods
use the four
operations in
multistep
calculations
involving
negative
numbers, using
mental and
written methods
Name:
Never heard it before word grid:
Vocabulary
number line
negative numbers
positive numbers
four operations
mental method
written method
Never heard
it
Heard it but
not sure
Know it and can give examples about it
(–8) + (–3)
(+3) – (+8)
(+8) – (+3)
(–8) – (–3)
(–3) + (+8)
(+8) – (–3)
•Copy the questions and write
the answers into your book
•Choose two of the questions
and explain your answers below
using words or diagrams or both.
Why is this ‘4’?
4
How much is this?
Making 3
Show me three more ways of
making 3.
Can you do one using 11 charges
altogether?
How much is this?
How much is this?
–2
How much is this?
How much is this?
0
How much is this?
How much is this?
+3
How would you describe what
happens here?
How would you describe what
happens here?
How would you describe what
happens here?
(+4) +
How would you describe what
happens here?
(+4) + (-2) =
How would you describe what
happens here?
(+4) + (-2) = +2
What about this?
+2
What about this?
What do we get when we
take away a negative?
What about this?
(+2) -
What about this?
(+2) – (–1) =
What about this?
(+2) – (–1) = (+3)
Another example
Another example
+1
Another example
(+1) – (–2)
Another example
(+1) – (–2) = +3
Number skills - Calculate using mental and written methods - Negative numbers
Bronze /Silver
Gold
Platinum
Yr 8
Yr 9
Identify negative whole numbers on a
number line
Order whole numbers between -10
and 10
Add or subtract
negative or
positive numbers
using a number
line
add and subtract
with negative
numbers using
mental methods
multiply and
divide with
negative numbers
using mental
methods
use the four
operations in
multistep
calculations
involving
negative
numbers, using
mental and
written methods
Check your
answers with
each other on
MWB before you
decide where
each picture goes.
Go through and
write your
answers in
without looking at
the diagrams.
Then use the
cards and draw
diagrams to
convince
someone else in
your group that
your answers are
correct.
Come up with a
diagram that uses
+ and – symbols
to explain
calculations
which use x and ÷
See if you can
convince other
people in your
group that your
diagrams work to
shoe x and ÷
Order negative and positive numbers,
including decimals to 1 decimal place
Use two different coloured counters to
help you.
See if you can
convince other
people in your
group that your
diagrams work to
shoe x and ÷
Working together 1
1. Choose one of the three cards and match it with one of the
calculations.
2. Write the answer to the calculation after the equals sign.
3. Check that the answer matches what you see in the drawing.
4. Do the same with the other two cards.
5. Make up drawings to fit the remaining three calculations and
write down the answers to those three calculations.
6. The answers should match the drawings.
7. Everyone in the group should agree.
Calculations (1)
How can I draw (+2) – (+5)?
How can I draw (+2) – (+5)?
Another way of thinking of (+2)…
How can I draw (+2) – (+5)?
And another...
How can I draw (+2) – (+5)?
And another...
Do you agree that this is still (+2)?
How can I draw (+2) – (+5)?
How can I take away (+5)?
How can I draw (+2) – (+5)?
(+2) – (+5) =
How can I draw (+2) – (+5)?
(+2) – (+5) = (-3)
Number skills - Calculate using mental and written methods - Negative numbers
Bronze /Silver
Gold
Platinum
Yr 8
Yr 9
Identify negative whole numbers on a
number line
Order whole numbers between -10
and 10
Add or subtract
negative or
positive numbers
using a number
line
add and subtract
with negative
numbers using
mental methods
multiply and
divide with
negative numbers
using mental
methods
use the four
operations in
multistep
calculations
involving
negative
numbers, using
mental and
written methods
Check your
answers with
each other on
MWB before you
decide where
each picture goes.
Go through and
write your
answers in
without looking at
the diagrams.
Then use the
cards and draw
diagrams to
convince
someone else in
your group that
your answers are
correct.
Come up with a
diagram that uses
+ and – symbols
to explain
calculations
which use x and ÷
Choose two
different positive
integers less than
10. Make a new
table showing all
the possible
addition and
subtraction
calculations if
either number
could be positive
or negative. Try to
work out the
answers, use
diagrams if you
need to.
Order negative and positive numbers,
including decimals to 1 decimal place
Use two different coloured counters to
help you.
See if you can
convince other
people in your
group that your
diagrams work to
shoe x and ÷
Working together 2
1. Choose one of the three cards and match it with one of the
calculations.
2. Write the answer to the calculation after the equals sign.
3. Check that the answer matches what you see in the drawing.
4. Do the same with the other two cards.
5. Make up drawings to fit the remaining three calculations and
write down the answers to those three calculations.
6. The answers should match the drawings.
7. Everyone in the group should agree.
Calculations (2)