Transcript (3) - Teaching Level 6 Maths to Year 6 Chidren (0.21Mb x)

Two way tables
There are 125 children in Year 6. 52% of them are girls.
20% of girls do not play football. Five times as many
boys play as do not play football.
Fill in the table.
Girls
Boys
Play football
Do not play football
You pick a boy at random from the whole group of boys. What is the probability of
picking one that likes football?
Solving problems with averages (1)
There are four numbers in a set of data. The mean is 7 and
the range is 4. What could the numbers be?
Hint:
What must the four numbers add up to?
Hint:
What must the difference between the
biggest and the smallest be?
Solving problems with averages (7)
A, B and C stand for three different numbers.
The mean of A and B is 40.
The mean of B and C is 35.
A + B + C = 100.
Calculate the values of A, B and C.
“Estimate the area of a circle when r = 5 cm” says Shamila.
“What’s the formula again?” asked Beth.
“πr2” Shamila suggests, looking at her book.
“Well, π x 5 is roughly 15” mumbled Abdul.
“And 15 squared is 225!” called Beth triumphantly.
Challenge:
Explain why Abdul and Beth
are wrong and work out a better
estimate.
How numbers behave
≠ means “is
not equal to”.
When you are adding, you can
swap the numbers round.
So a + b = b + a
When you are subtracting, you can’t swap the numbers
round.
So a - b ≠ b - a
When you are multiplying, you can swap the numbers
round.
So a x b
= bxa
When you are dividing, you can’t swap the numbers round.
So a ÷ b ≠ b ÷ a
10 split into 4 equal parts
10 - 4
10 + 4
4 + 10
10 x 4
4 - 10
10 ÷ 4
4 ÷ 10
4 x 10
10 split into 4 equal parts
10 - 4
10 + 4
4 + 10
10 x 4
4 - 10
10 ÷ 4
4 ÷ 10
4 x 10
Dice Games 1
d = the number on the dice
d-3
Total
3d
Total
d+7
Total
20 - d
Total
5 more than
the dice
number
4 more than
the dice
number
5 less than
the dice
number
4 multiplied
by the dice
number
Subtract the
dice number
from 5
4 less than
the dice
number
4 take
away the
dice
number
5 multiplied
by the dice
number
7 divided
by the dice
number
7 less
than
double the
dice
number
2 more than
the dice
number, all
divided by 7
The dice
number
multiplied by
itself, then
subtract 7
The dice number plus
the dice number plus
the dice number plus
the dice number plus
the dice number plus
the dice number plus
the dice number
7 lots of
the square
of the dice
number
Subtract
half the
dice
number
from 7
7 multiplied
by 2 more
than the dice
number
d
x2
+1
÷7
-5
+3
x 12
+4
-5
-1
÷2
Harder Expressions
d
1
2
3
4
5
10
0
2d
d2
d3
d
64
25
144
400
0
1
-1
Think of a number
I think of a number.
I multiply it by 3.
I add 4.
I multiply it by 2.
I subtract 2.
I divide it by 3.
I subtract 2.
I divide by 2.
What number have I got?
x
3x
3x + 4
6x + 8
6x + 6
2x + 2
2x
x
Equations
Find two different ways to complete these
equations.
1.
………… + 6 = ……. - 9
2.
………… x ………. = ……. - 3
3.
……… ÷ 5 = ……… + 9
4.
………. x 3 = ……… + 5
In an equation, the left
hand side must equal
the right hand side.
How many solutions?
x+5=y+6
x2 = 25
2x + 3 = x + 1
x + y = 10
x+5=x-1
How many different
numbers can you find
for the letters to make
the two sides of the
equations equal?
Solving Simultaneous Equations
Find x and y:
Find a, b and c:
2x + y = 11
x+y=7
a + b = 21
ac = 30
a + c = 17
Forming and solving equations
I think of a number. I multiply it by 5 and subtract 1. My
answer is 39. What number was I thinking of?
Form an equation using the letter m to stand for the unknown
value and solve it.
The number I was thinking of is ……..
Finding 100%
15% of a number is 33.
What is the number?
÷3
15% = 33
÷3
5% = 11
x 20
x 20
100% = 220