Boxing Up (A Mathematical Essay)

advertisement
‘Boxing Up’ The Big Launch
Boxing Up (A Mathematical Essay)
Maths Story
What is the question asking me?
What information do I have?
English Story
Introduction
What Maths will I be using?
Main Story
Working out / Calculations
Answers, checking and presentation.
Conclusion
A recipe for 12
people uses
500g of plain
flour. How
much flour is
needed for 18
people?
Green Box - What is the
question asking me? What
information do I have?
How much flour is
needed for 18 people?
12 people use 500g of
plain flour.
A recipe for 12
people uses
500g of plain
flour. How
much flour is
needed for 18
people?
Blue Box - What maths will
I be using?
Ratio / Proportion
Halving
Adding
A recipe for 12
people uses
500g of plain
flour. How
much flour is
needed for 18
people?
Red / Pink Box
Working out /
calculations?
12 people = 500g
6 people = 250g
3 people = 125g
12 + 6 = 18 people
500 + 250 = 750g
A recipe for 12
people uses
500g of plain
flour. How
much flour is
needed for 18
people?
Yellow / Orange Box
Answers / Checking /
Presentation
6 people = 250g
6 x 3 = 18
250 x 3 = 750
The answers are here
Boxing Up is a .......
• Strategy for working out (for writing)
• Strategy for discussing (asking each other
questions)
• Strategy for thinking (asking yourself
questions)
In your boxes you have 3 question
packs
Green – Simpler questions.
Pink – Slightly harder
Gold more challenging.
Your Task – Work in Pairs
Choose a question.
Cut it out.
Stick it on your A4 paper.
Answer it using boxing up.
Each pair should aim to complete two questions
so that you all have an example to stick in your
Maths books.
You may end up doing the same question twice
when it is your turn to train someone else.
Rules for Explaining
• You can tell them what each box is for but you
should ask them what goes inside.
• Try not to give any answers, try to get the
answers from them through questioning.
• Be supportive / positive.
Post-its mean prizes
1 post it note = P1
At least 3 post it notes = a packet of Haribo
The person on the table with the most post it
notes wins a chocolate bar.
A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18
people?
Green Box - What is the question
asking me? What information do
I have?
How much flour is needed for 18 people?
12 people use 500g of plain flour.
Blue Box - What maths will I be
using?
Ratio / Proportion
Halving
Adding
Red / Pink Box
Working out / calculations?
12 people = 500g
6 people = 250g
3 people = 125g
12 + 6 = 18 people
500 + 250 = 750g
Yellow / Orange Box
Answers / Checking /
Presentation
6 people = 250g
6 x 3 = 18
250 x 3 = 750
Gold Questions
A shopkeeper uses this formula to
calculate the total cost when customers
pay by monthly instalments.
C = d + 24 × m
C is the total cost in pounds.
d is the deposit in pounds.
m is the monthly instalment in pounds.
(a)
The value of a vintage car rises
from £36 000 to
£63 000.
Work out the percentage
increase in the price of the car.
The deposit for a wardrobe is £16.
The monthly payments are £10.
What is the total cost?
Mutasem wants to buy two of these
luxury chairs.
At which shop is the price of the
two chairs the cheapest?
You must show your working.
Martha books a 14-night holiday in May. She books for herself, husband Billy and
daughter Mary (aged 11). She books the holiday online. Explain clearly why the total
cost will be £990.
Pink Questions
Which is the best value for
money
500g of sausages for £2.75 or
650g of the same type of sausage
for £3.70?
You must show all your working.
The diagrams below show a
rectangle and a parallelogram.
3.7cm
6.1cm
3.7cm
6.1cm
Calculate the area of the
rectangle.
Explain why the area of the
parallelogram is equal to the area
of the rectangle.
Kylie uses a piece of string to
measure the perimeter of a
shape. The string fits exactly
round a rectangle 10cm by 8cm.
She then fits it exactly round a
square. How long is one side of
the square?
Sara had £50 to spend on a day trip
to France.
The exchange rate was ε 1.55 = £1
How many Euros did she get in
exchange for her £50?
She saw a watch she liked priced at
ε43. How much was the watch to the
nearest penny?
Green Questions
Two websites sell the same type of radio.
Website
A
Website
B
Cost of
radio
£79.99
£76.76
Cost of
Postage
£3.49
£6.79
People pay to visit a garden.
Tickets:
Age 16 and over £3.60
Under 16 £2.25
Sunil is going to buy the radio from one of the websites. He also
has to pay for postage. Which website is cheaper and by how
much.
145 People pay.
39 of them are under 16.
How much ticket money is paid altogether.
The shaded rug is twice as long as it is wide.
The perimeter of the rectangle is 30cm
The price of a coat is £65
In a sale the price is reduced by 15%
What is the sale price of the coat?
What is the area of the rectangle?
Every day a machine makes 500 drawing pins and puts them
into boxes.
The machine needs 15 drawing pins to fill a box.
How many boxes can be filled with the 500 drawing pins?
A special pack of apricots has 50% extra free. Fill in the missing
number on the table.
Weight
Number of apricots
Ordinary pack
450g
10
Special Pack
........g
15
Download