Download Properties of shapes Year 5 Maths Newsletter

Properties of shapes
Year 5
Maths
Newsletter
HERE’S THE MATHS
An angle measures an amount of turn in degrees (°). A whole turn is 360°, a right angle
90° and a straight-line angle 180° (two right angles). Your child is learning to calculate
an unknown angle at a point on a straight line and other multiples of 90°, to use a
protractor to draw and measure angles and to estimate the size of an angle. Acute (less
than 90°), obtuse (between 90°and 180°) and reflex angles (greater than 180°) have
been defined.
Name: ______________________
ACTIVITY
What to do
 One person draws a straight line.
 Roll the dice and multiply the score by 10 to give
an acute angle, e.g. a roll of 4 is an angle of 40°.
 Sketch and label the angle on the line. Try to
sketch the angle approximately the correct size.
 Roll the dice again and repeat to give a second
angle.
 Calculate the missing angle to make the straight line.
 Second person checks the calculation.
 Change roles and repeat.
 Continue for 10 minutes.
MATHS TOPICS
You will need:
 1–6 dice
 pencil, paper and ruler
QUESTIONS TO ASK
What is an acute angle?
Obtuse angle? Reflex
angle?
4
These are the maths topics your child will be working on during the next few weeks:



Properties of shape - Angles
Percentages
Perimeter and Area
We would really appreciate your help in supporting them to further progress and
have enclosed some possible fun activities you could do with them.
Variation
 Roll the dice three times to give three angles and work out the missing angle
for a complete turn.
Explain what a
protractor is and
how to use it.
Teacher: Miss Moores
How many degrees
in a whole turn? (Two
whole turns?)
TIPS FOR GOOD HOMEWORK HABITS
Turn off the TV and computer. Choose a quiet place, preferably sitting at a table,
where your child can work comfortably without disturbance. Try to make it as fun
and as enjoyable as possible.
We really appreciate your support and know that any help you give will greatly
benefit your child and improve their mathematical understanding.
1
Percentages
(including fractions and
decimals)
Perimeter and area
HERE’S THE MATHS
HERE’S THE MATHS
The focus for the week is on measurement and calculation of perimeter and area.
Rules to find the perimeter: P = 2(a + b) and area: A = a × b are used to find perimeter
and area and also to work out unknown lengths from known information, e.g. if side a is
3 cm and side b is 4 cm, the perimeter is 14 cm. Encourage your child to use the correct
2
2
units for area, which is measured in square units: cm or m .
ACTIVITY
Player A
Player B
1
20 cm
2
2
1
50 cm
3
36 cm
2
2
2
40 cm
4
2
3
30 cm
2
80 cm
5
100 cm
2
4
2
18 cm
90 cm
6
2
6
2
60 cm
16 cm
2
48 cm
ଵ
) and then multiply the answer by 7.
ଵ଴
ACTIVITY
SALE
REDUCTION
1
5%
2
10%
3
20%
4
25%
Perimeter of rectangle
= 50 cm and the length
of one side is 15 cm.
Work out the length of
the other side.
ITEM
Beanie
hat
£20
Rucksack
£80
Fleece
jacket
£60
Jeans
£40
You will need:
 1–6 dice
 pencil and paper
6
50%
Trainers
£100
T-shirt
£30
What to do
 You each have £200 and have to try to buy one of every item.
 Take turns to roll the dice to see the sale discount offered.
 Decide what to buy, calculate the cost and take the amount away from £200.
 If you don’t have enough money to buy the items you still need, you miss that go.
 The winner is the first person to have bought one of each item.
Variation
 Make a new grid of items to buy and use reductions of 10%, 25%, 30%, 50%
and 75%.
QUESTIONS TO ASK
The answer is 5% –
what is the
question?
The answer is 65%
– what is the
question?
The answer is 0·4 –
what is the question?
2
5
40%
2
QUESTIONS TO ASK
What is the area of an
8 cm square?
find 10% (
6
2
What to do
 The grid shows the areas of different rectangles.
 Players choose which row they will play.
You will need:
 Take turns to roll the dice to decide which box to
 pencil and paper
work out.
 12 counters or coins
 Suggest two possible sets of lengths of the sides
 two 1–6 dice
for the rectangle.
 If successful, cover the square with a counter.
 If a number is rolled that is already covered, miss that go.
 The winner is the first person to cover every square in their row first.
What is the perimeter
of a 16 cm square?
The focus this week is on handling percentages. Your child is learning the percentage
and decimal equivalents of fractions and how to solve problems involving percentages.
They calculate percentages of numbers and amounts. To find 70% of a quantity, first
The answer is 100%
– what is the question?
The answer is
3
ଷଶ
ଵ଴଴
– what is the question?