1. Week 12 Revision of formulae and scale
Functional MATHS
Week 12
Revision of formulae and scale

2. Today’s starter…

3. Re-cap: What did we do last week?

4. Re-cap: What we did last week…
Scale Drawings
Use scale to draw a diagram
Draw an accurate scale plan using a given scale expressed as a ratio
Interpret real life measurements from a scale diagram
Solve problems involving scale
(Ratio and Proportion part 2)

5. Conversion trick– helpful rhyme
Convert 200g to Kg
0.2 Kg
Convert 150cm to mm
1500 mm
Convert 0.35 L to ml
350 ml

6. Scale Re-cap
Scale - Recap

7. Scale Drawing: Re-cap Example: 1cm : 100cm
Scale drawing allows us to draw large objects on a smaller scale or a smaller object on a larger scale, keeping them accurate.
All scale drawings must have a scale written on them. Scales are usually expressed as ratios.
Example: 1cm : 100cm
The ratio 1cm:100cm means that for every 1cm on the scale drawing the length will be 100cm in real life

8. Scale Drawings A scale of 1 cm : 2m for every 1cm measured on a
this represents 2m in real-life.

9. Scale Drawings A scale of 1 : 200 …means for every 1 measured on a
drawing this represents 200 in real-life.
So if you measured 1cm it is worth 200cm in real life.
Or if you measured 1mm it is worth 200mm in real life

10. Scale Drawings : Example
4x25= 100cm
4cm
2cm
2x25 = 50cm
The scale of this drawing is 1cm = 25cm
What is the actual width and height of the TV ?

12. Activity for you
‘Youth Club’ worksheet

13. L1 Extension task: Design me a garden!
Draw a plan of the garden onto squared paper
Include the pond, playground, vegetable garden, shed and grass area
You’ll need to think of a suitable scale to use so that it will fit on your paper

14. L2 Extension task: Map distances - Europe
Use a ruler to measure the distance in cm from one city to another (e.g. 3.9cm)
Multiply by the map scale to record the real life distance in cm
Convert this into Km

15. Put your name on it please before handing in!
Directed Study

16. What are we going to do today?
Revision of formulae
(tasks 1 & 2)
Calculate substituting letters for numbers
Understand and use simple word formulae
Solve problems by substituting into a formula (to include letters and symbols)

17. Rules of formulae: Expressionspq
p × q
abc
a × b × c
e/m
e ÷ m h²
h × h ( h squared)
a + b
the value of a added to the value of b
c – d
take away the value of d from the value of c 3x
3 times the value of x;
3x = 3 × x

18. SUBSTITUTION
REVISION

19. If a = 17 and b = 19 what is the value of
a + b ? 38 26 36

20. If c = 100 and d = 71 what is the value of c – d ?29 31 39

21. If x = 8 what is the value of 3x ?24 11 38

22. If p = 7 and q = 8 what is the value of pq ?15 78 56

23. If e = 42 and m = 6 what is the value of e/m ?7 8

24. Name the Planet Your turn…
Extension - substitution matching activity (in pairs)

25. Clue 1 = g + q Clue 2 = j – p Clue 3 = 3u Clue 4 = a/w
Name the Planet (or Moon) a b c d e f g h i j k l m 50 48 45 42 40 36 35 32 30 28 25 1 21 n o p q r s t u v w x y z 20 18 16 15 12 10 8 7 6 5 4 3 2
Clue 1 = g + q Clue 2 = j – p
Clue 3 = 3u Clue 4 = a/w
= 50 = a
28 – 16 = 12 = r
3 × u = 3 × 7 = 21 = m
a ÷ w = 50 ÷ 5 = 10 = s
Unscrambling gives…
Mars

26. a b c d e f g h i j k l m 50 48 45 42 40 36 35 32 30 28 25 1 21 n o p q r s t u v w x y z 20 18 16 15 12 10 8 7 6 5 4 3 2
1) Clue 1 = w + y Clue 2 = i – r Clue 3 = 2t Clue 4 = j/x Clue 5 = b – c – z
2) Clue 1 = 2w Clue 2 = q – t Clue 3 = 2s Clue 4 = 2k Clue 5 = 6z Clue 6 = 2w - z
3) Clue 1 = 4s Clue 2 = d/u Clue 3 = d/v Clue 4 = sz Clue 5 = zw
4) Clue 1 = h/z Clue 2 = 2y + l Clue 3 = 2r – x
Clue 4 = 2u – v Clue 5 = zi – n Clue 6 = xr – t
Clue 7 = a ÷ k × s
5) Clue 1 = w² + k Clue 2 = y² - l Clue 3 = x² ÷ 2 Clue 4 = wyz Clue 5 = st/x

27. Answers…
Pluto
Saturn
Venus
Neptune
Titan

28. Solving problems
And exam questions

29. Formulae is a way of describing a relationship between variables
What is formulae?
Formulae is a way of describing a relationship between variables
For example:
How do you calculate the area of a room?
Length x Width (You always do this calculation, regardless of what the length and width are)
Area = Length x Width
A = L X W
This is a formula!!

30. Level 1 exam type question:Your turn

31. Level 1 exam type question Your turn

32. Using formulae – calculating BMI

36. Using formula – Level 2: Example

37. Level 2 - Your Turn!

38. Past exam questions

39. Past exam questions

40. Your turn!

41. Directed study