Slide 2 Standardised Approaches to Numeracy The following slides
contain the standard methods for key topics that your child will
learn in Mathematics at Denbigh School. This does not mean that
they will not learn any other methods but these are the basic
methods that all students are taught. The aim is that students will
be able to transfer these skills and apply them in different
subjects where necessary. By providing these methods to parents,
you should be more able to help your child at home with homework or
revision when these skills are needed to solve any type of problem
across the curriculum. Slide 3 How to use these slides. By clicking
on the icon in the bottom right of the screen, it will open the
power-point in full screen mode. This will enable you to click
through the steps for a particular method along with an audio
explanation. To exit full screen mode at any time, press the Escape
key on your keyboard. You can choose to look at any method your
child requires, you do not have to go through them in order. Slide
4 Method 1: Loops Solving Linear Equations Rearranging Formula
Conversions Slide 5 Standardised Layout To Solve Linear Equations 4
Slide 6 Standardised Layout To Rearrange Formula What happened
first? Slide 7 Standardised Layout for Conversions Slide 8 Method
2: Fractions Adding and Subtracting Fractions Multiplying Fractions
Slide 9 Standardised Layout To Add & Subtract Fractions 3 Key
Point: Keep fractions underneath each other. This will help to
avoid confusion when converting them to equivalent fractions. Slide
10 Standardised Approach to Multiplying Fractions Slide 11 Method
3: Bubbles & Multipliers Finding Percentages of an Amount
Percentage Increase and Decrease Slide 12 Standardised Approach for
Percentage of an amount The method will depend on the paper: Non
Calculator Paper Bubble Method Calculator Paper Single Multiplier
Method Slide 13 Bubble Method (Non Calculator Paper) Stage 1 Fill
in the bubbles Stage 2 Add up using the bubbles you need: e.g. 30%
of 800 25% + 5% 200 + 40 = 240 e.g. 46% of 800 25% + 10% + 10% + 1%
200 + 80 + 80 + 8 = 368 100% 50% 25% 10% 1% 5% 80080 8 40 400 200
Slide 14 Single Multiplier Method (Calculator Paper) Divide the
percentage by 100 50% 100 = 25% 100 = 13% 100 = 6% 100 = 0.5 0.25
0.13 0.06 This is the.. MULTIPLIER Slide 15 Single Multiplier
Method (Calculator Method) To find the percentage of an amount:
Multiplier x Amount Worked examples What is 32% of 600 32% 100 =
0.32 0.32 x 600 = 192 What is 7% of 600 7% 100 = 0.07 0.07 x 600 =
42 What is 17.5% of 600 17.5% 100 = 0.175 0.175 x 600 = 105 Slide
16 An increase of 12% An increase of 9% A decrease of 9% A decrease
of 88% A shop offering 20% off all prices A city where the
population has gone up by 3% A year where there was 4% less
rainfall 1.12 1.09 0.91 0.12 0.8 1.03 0.96 PERCENTAGE CHANGE
MULTIPLIER 100% + 12% = 112% 100% + 9% = 109% 100% - 9% = 91% 100%
- 88% = 12% 100% - 20% = 80% 100% + 3% = 103% 100% - 4% = 96%
CALCULATION Standardised Approach to Percentage Increase / Decrease
Single Multiplier Method Slide 17 Standardised Approach to
Percentage Increase Example A box of cereal has 33% extra free.
Usually the box has 500grams. How many grams does the new box of
cereal have? Work out without using a calculator. (Bubble method)
Check answer with a calculator. (Single Multiplier) See next slide
for answer Slide 18 Standardised Approach to Percentage Increase
100% + 33% = 133% 133% of 500g 500 50 5 25 250 125 100% + 25% + 10%
- 1% - 1% 500 + 125 + 50 5 5 = 665 grams Check your answer: 1.33 x
500 = 665 grams Slide 19 Standardised Approach to Percentage
Decrease Example A TV costs 340. A sale gives a 15% discount. What
is the price paid for the TV in the sale? Work out without using a
calculator. (Bubble method) Check answer with a calculator. (Single
Multiplier Method) See next slide for answer Slide 20 Standardised
Approach to Percentage Decrease 100% - 15% = 85% of the original
price to pay 85% of 340 340 34 3.4 17 170 85 50% + 25% + 10% 170 +
85 + 34 = 289 (new price) Check your answer: 0.85 x 340 = 289