Transcript Y5T2U10D1_3 - Primary Resources

Year 5 Term 2 Unit 10
Day 1
L.O.1
To be able to derive quickly two-digit pairs
that total 100
To add several two-digit numbers
Different numbers will be shown. Your job is
to write the complement to 100.
30
60
90
15
20
35
45
5
75
75
65
85
Quickly
copy this
number
grid into
your
books
Do these:
1. Which number is nearest 100?
2. Which pair of numbers total 100?
3. What is the sum of the top row?
4. What is the sum of the bottom corners?
5. What is the total of the middle column?
6. Add the bottom row.
7. Sum the diagonal from the top left.
8. Total the numbers under 40.
9. Add the two highest numbers.
10. Find the sum of the left-hand column.
L.O.2
To be able to extend written methods to
column addition of two integers less than
10 000
3587 purchased advance tickets for the final
home game of the season at Boston United. A
further 675 people bought tickets on the gate.
How many people attended the game
altogether?
Q. What calculation do we need to do to work
out the answer to this problem.
The calculation is addition.
REMEMBER …
This is the COLUMN method of addition:
468+276
400 + 200 = 600
60 + 70 = 130
8 + 6 = 14
744
468
+ 276
600
130
14
744
468
+ 276
14
130
600
744
We’ll do this in the same way but add the
most significant digits first.
+
Q. How many thousands will there be?
Q. How many hundreds will there be?
Q. How many tens will there be?
Q. How many units will there be?
3587
675
3000
1100
150
12
4262
Q. What is the total?
NOTICE : THE FIGURES ARE IN STRAIGHT COLUMNS!
Do these using the COLUMN method and
starting with the most significant digit.
Keep your digits in straight columns.
1.
2.
3.
Imelda Marcos bought 2356 pairs of shoes in 1998
and 947 pairs the following year. How many pairs of
shoes had she altogether?
Prince Charles owns 8894 acres of land in Cornwall
and 658 acres in Norfolk. How much land has he?
When Granny sold the last of her jewels she made
£2486. Her jewel sale last year brought her £828 and
the year before that £593. How much did she make
altogether?
We’ll do this one together:
5709 + 3296
Let’s try this but begin with the least significant digit.
4736 + 582
+
4736
582
8
110
1200
4000
5318
Do this. Use either method but be
prepared to explain your reasoning.
6285 + 445
By the end of the lesson the children should
be able to :
Use a written column method to add a
four-digit to a three-digit number by
adding the most significant digit first or
the least significant digit first.
Discuss, explain and compare methods.
Year 5 Term 2 Unit 10
Day 2
L.O.1
To be able to count on and back in equal
steps.
To use known number facts and place
value for mental addition.
1
We are going to count on and
back in steps of 0.1 beginning
at different points from 0 to 1
0
2
We are going to count on and
back in steps of 0.1 beginning
at different points from 1 to 2
1
2
We are going to count on and
back in steps of 0.2 beginning
at different points from 0 to 2
0
5
We are going to count on and
back in steps of 0.5 beginning
at different points from 0 to 5
0
1.2
0.8
0.6
0.2
2.7
4.4
3.3
3.8
6.1
Find a pair of numbers which add to :
1,
2,
4,
5,
6
.
2.5
5.4
2.7
3.5
6.6
3.4
1.2
1.5
1.9
1.8
6.8
4.5
Find three numbers which make:
6,
1.8 1.9 2.3
2.5 2.7 1.8
1.2 3.4 5.4
7,
10
2.3
4.2
.
2.5
5.4
2.7
3.5
6.6
3.4
1.2
1.5
1.8
6.8
1.9
4.5
Find four numbers which make:
12,
1.5 2.5 3.5 4.5
6.8 1.2 2.3 2.7
13
2.3
4.2
L.O.2
To be able to use column written
methods to add two or more decimals.
Last week I spent £48.76 at the supermarket.
This week I spent £37.53.
How much did I spend altogether?
Q. What calculation do we need to carry out?
+
Q. How could we work this out?
Q. What would you estimate the answer to be?
We shall use a similar written method of
addition to that used in the last lesson.
4 8.7 6
3 7.5 3
7 0.0 0
1 5.0 0
1.2 0
0.0 9
8 6.2 9
Q. Does this answer seem reasonable?
Let’s try this one.
We shall begin by adding the least significant digit.
Your assistance is required!
14.78 m. + 26.24 m
Where shall we start?
You will be given a worksheet to do.
Begin each problem by adding the
least significant digit.
REMEMBER :
ESTIMATE B4U CALCULATE
At the Funfair the rides are priced as follows:
White Knuckle
£1.65
Dodgems
£0.90
Wall of Death
£2.30
Space Wheel
£1.25
1.
2.
3.
4.
How much is it to go on each ride once?
If I have £4.00 to spend which rides could I go on?
How much does it cost to go on the Space Wheel
three times and the White Knuckle twice?
Granny is afraid of the Dodgems but likes all the other
rides. How much does she spend if she goes on each
one twice?
By the end of the lesson the children should
be able to:
Use a written column method to add two
or more decimal numbers;
Know that a decimal points should link up
under each other;
Solve mathematical problems involving
money and measures.
Year 5 Term 2 Unit 10
Day 3
L.O.1
To have a rapid recall of multiplication
facts.
Let’s say our tables (twice) :
6x
8x
9x
and answer some questions about them.
Answer the questions using number fans.
Now ask your partner to recite the same
tables and then ask them questions.
5 minutes
Do these:
7x8=
5x6=
8x8=
8x9=
7x6=
9x5=
70 x 8 =
0.5 x 6 =
800 x 8 =
8 x 0.9 =
70 x 60 =
0.9 x 0.5=
L.O.2
To be able to subtract whole numbers
with up to four digits using a written
column method.
3450 people attend a football match. At half
time 867 people leave. How many people stay
to the end of the match?
Q. What calculation must we carry out to work out
the answer?
-
Q. How could we estimate the answer?
Q. What is a sensible estimate?
2500
Remember the complementary addition
method used to work out the answer to a
problem?
+33
867
+100
900
+2000
1000
+450
3000
Is the answer ( 2583 ) close to the estimate of 2500 ?
The jumps are to and from 100’s and 1000’s as
this helps make the addition easier.
3450
The sum can be set out using the column method.
+33
867
+100
900
+2000
1000
+450
3000
3450
3450
- 867
33
to make
900
100
to make 1000
2000
to make 3000
450
to make 3450
2583
Answer is 2583
c.f. the estimate of 2500
2340 - 758
Q. What calculation must we carry out to work
out the answer?
Q. How could we estimate the answer?
Q. What is a sensible estimate?
1500
Remember the complementary addition
method used to work out the answer to a
problem?
+42
758
+200
800
+1340
1000
Is the answer ( 1582 ) close to our estimate?
2340
The sum can be set out using the column method.
+42
758
+200
800
+1340
1000
2340
2340
- 758
42
to make
800
200
to make 1000
1340
to make 2340
1582
Answer is 1582
c.f. the estimate of 1500
Try these with a partner. Agree an
estimate before
ALL
PRISMS
1.
2.
3.
4.
5.
6.
B4U calculate.
832 - 645
733 - 1609
8976 - 543
573 - 67
6571 - 89
4773 - 882
3450 - 867 = 2583
Q. What is the answer to 2583 + 867?
Why?
Q. Is there a connection between addition and
subtraction? If so, what is it?
Does the same rule apply here?
30 – 10 = 20
: 20 + 10 = ____
88 – 36 = 52
: 52 + 36 = ____
45 – 18 = 27
: 27 + 18 = ____
76 – 42 = 35
: 35 + 42 = ____
Copy and complete :
2733 – 1609 = 1124 : 1124 + 1609 = _____
By the end of the lesson the children should
be able to:
Subtract pairs of numbers involving a
different number of digits by
counting up;
Find an estimate and check answers;
Use the relationship between addition
and subtraction to check answers