The Broxbourne School

Year 8 Top sets Scheme of Work 2001-2002

WEEK

/

TOPIC

/ OBJECTIVE / DETAILS / RESOURCES / RELATED RESOURCES / NNS REF / LEVEL / VOCAB /

Term 1

1 /

NUMBER ~ Mental work

Ma2~3a,3b,3g,3i / 9 / Recap laws of arithmetic
Commutative, distributive, associative, doubling, halving
Bodmas / O/M: Mental, written
or calculator?
ICT: Excel – Activity
15 / 85
87,89 / 4/5
5 / N1
L

Key questions

·  Explain how you might:
add 19… subtract 19… multiply a number by 19… divide a number by 19…
2 /

NUMBER

Ma2~3a,3i / 1A / Read and write positive integers of 10 e.g. 102=100, understand 7.2 x 102
Add and subtract 0.001 from any number
Multiply and divide by 0.1 and 0.01
Multiply and divide by any integer power of ten
Order positive and negative decimals using < >
Use factors/partitioning/place value to multiply and divide numbers / 37
39
39*
40,49
97 / 4/5 / D1,D21
Key questions
3 / NUMBER ~ ROUNDING
Ma2~ 3h, 4c, 4d / 1B / Rounding
Whole numbers to a given power of ten
To a given number of decimal places
Recognise recurring decimals
Significant figures
Estimating
Focus on mental skills / Pg40
Ex 2.9
Ex 2.9
Ex 2.9
Ex 2.10; 2.11 / O/M: Three in a row
(1) (2) / 43
45,45*
103, 111 / 4
5
6
7 / D1,D21
Key questions
4 /

DATA HANDLING

Ma4~ 4a, 5b, 3a,3b,3c / 45
48
49 / Data ~ Understand discrete and continuous data
Drawing Bar charts and Pictograms
Frequency diagrams
Line graphs
Questionnaires
Types of questions open/closed, biased / Ex 3.5
Ex 3.6;3.7;3.8
W/S needed /

O/M: NNS Travel

graphs

/ 253
263*
265 / 5
4
5 / D3
D1
L
Key questions
5 /

DATA HANDLING

Ma4~ 4a, 5b, 3a, 3b, 3c,5g / 48,
49 / Scattergraphs ~ Drawing
Correlation
Drawing pie charts
Interpreting Bar charts, Pictograms, Pie Charts, Scattergraphs, Stem and leaf / Pg53 Ex 3.2
Ex 3.2; 3.3; 3.4 W5 / O/M: 4 coloured OHTs - discussion /interpretation
Representing data –
see lesson plan 2/6
Representing: stem
and leaf – see lesson plan 3/6
ICT: Autograph –
Statistics Activity 1, 3
ICT: Excel – Activity 5
ICT: mini investign:
Excel – Activity 12 / 267
271*
263 / 6
6
5 / D1
L
Key questions
6 /

INVESTIGATION

/ CONSECUTIVE SUMS I2
Key questions
7 /

NUMBER~ FRACTIONS

Ma2~ 2c, 2d, 3c, 3d, 3l / 5,6 / Recap fractions
Definition
Simplifying
Equivalent fractions
Calculating fractional amounts & strategies
Multiply and divide a fraction by an integer
Addition & Subtraction of fractions
Multiplication and division of fractions
Converting fractions to decimals and vice versa
Ordering fractions / C/W
W/S needed
W/S needed
Pg 193 Ex 9.8
W/S needed / 61
61
67,99
69
67
69*
65
65 / 4
5
5
5
6
6 / F1
Key questions
8 /

RECAP & ASSESSMENT

9 /

NUMBER ~ DIRECTED NUMBERS

Ma2~ 2a / 2
9 / Ordering ~ number-lines
Addition & subtraction
Strategies for adding and subtracting negative numbers
Multiplication & division
Understand that the operations add, subtract, multiply and divide apply to positive and negative numbers / Pg116 Ex6.1 Qu1-4
Ex 6.1 Qu 6-13 Ex6.2
Ex6.3; 6.4 / 49
93
51
83 / 5
5
6 / NEG1
Key questions
10 / ALGEBRA ~ Simplifying & solving
Ch4
Ma2~ 1g, 4c,5a,5b,5c 5d, 5e, 6a / 18
19
20
21
22 / Distinguish between the different roles for letter symbol conventions
Know that algebraic operations follow the same conventions and order as arithmetic operations
Use index notation
Simplify and transform linear expressions
Forming and solving linear equations including brackets on both sides / W/S needed
Ex 4.7; 4.8
W/S needed / O/M: NNS Algebra
loop card game
O/M: Algebra
equivalence (1)
Magic squares (alg)
Addition crosses/
Squares
Plenary: ‘x – 1’ / 113
115
115
117
123,123*, 125, 125* / 5
6 / A1
Key questions
·  Demonstrate that 2(a + b) and 2a + 2b are equivalent in as many different ways as you can.
·  What is the same and what is different about : 40 – (a + b) and 40 – a – b
11 / ALGEBRA~ Substitution
Ch4
Ma2~ 5f / 22 / Using formulae given in words and symbols
Using inverses of formulae
Substitution
(recap of BODMAS and powers will be needed)
Using negative numbers in formulae / Ex 4.3
Ex 4.6
Ex 4.9; 4.10; 4.11 W2,W£
Pg126 Ex6.5; 6.6; 6.7; 6.8 / 141, 141*
139, 139*
141 / 5 / A1
Key questions
12 / SHAPE & SPACE ~Area & Perimeter
Ch12
Ma2~ 5f
Ma3~ 2e, 4f, 4h / 42
33 / Perimeter
Formulae for area of:
Rectangles
Triangles
Parallelograms
Trapezium
Composite shapes
Circles & circumference
Kite / Pg 250 Ex 12.1
Ex 12.2
Ex 12.3 Qu1-6
Ex 12.3 Qu6-10
Ex 12.4; 12.5
Ex 12.6
W/S needed
Ex 12.7 / O/M: Group problem
solving 3 and 4
O/M: Visualisations / 235
235
236
235
237
235*, 237*
235 / 4
5
5
6
6
6
6
6 / S5
Key questions
13 / SHAPE & SPACE ~ Volume
CH14
Ma3~ 2j, 4g / 42 / Volume of composite cuboids by counting cubes
Formulae for volume of cuboids and surface area
Formulae for volume of prisms / Pg 299 Ex 14.3; 14.4; 14.5
W/S needed
Ex 14.6; 14.7; 14.8; 14.9 / Preliminary activity:
ICT: Excel Activity 8 / 239, 241
239*,241* / 7
7 / S5
Key questions
14 / NUMBER ~ long division and multiplication
Ma2~3k / 12
15 / Long multiplication inc. decimals
Long division inc. decimals / C/W / 105, 105*
107, 107* / N15
Key questions
·  Why do 16  0.5 and 160  5 give the same answer? … now consider 1.6  0.05 …
15 /

RECAP & ASSESSMENT


TERM 2

1 / DATA HANDLING ~ Probability
Ch8
Ma4~4c, 4d, 4e, 5h,5I,5j, 4f / 51
52
53
54 / Vocabulary
Scale
Calculating equally likely events
Mutual exclusivity
Event add up to 1(needs factions)
Probability of an event not happening
Sample space
Lists and tables
Compare theoretical and experimental probabilities
Use relative frequency / Pg 160 Ex8.1
Ex8.2; 8.3; 8.5 Qu1-3
Ex 8.4
Ex 8.5 Qu4-6
Ex 8.6; 8.7 W6 / 277
278
278
279*
279
280,281
283, 285
283* / 5
5
6
6
6
7 / D4
L
Key questions
·  How do you know you have got them all? (possible outcomes)
·  Is there a different way in which you could have listed the possible outcomes? Which way is the most efficient?
2 / NUMBER ~ Percentages Ch9
Ma2~ 2e, 2g,3e, 3m / 7 / Recap identifying percentages
Calculating percentages
Strategies for calculating percentages
Equivalent fractions, decimals and percentages and strategies for converting
Use percentage increase and decrease
Use percentage change to solve problems / Pg180 Ex9.1
Ex9.2; 9.3; 9.4; 9.5
Ex 9.7; 9.10 / 70
73
99
71, 75
99
77
77* / 4
5
6 / F1
Key questions
·  What will happen if you reduce the price of a jacket by 10% in a sale… and then 2 weeks later you increase the price of the jacket by 10%?
·  Using approximations, write 5 statements about the diagram,
involving the words: decimal… fraction… percentage… ratio…
proportion…
3 /

SHAPE & SPACE~ Transformations

Ch5
Ma3~
3a, 3b, 3c,3d / 35
32 / Recap co-ordinates
Reflections
Translations
Rotation
Congruence
Combinations of transformations
Enlargement
Whole scale factor
Ext fractional scale factor / C/W
Pg92 Ex 5.1; 5.2
Ex 5.5; 5.6
Ex 5.7; 5.8; 5.9
Ex 5.10; 5.11; 5.12
W/S needed / O/M or Plenary: sheet Transformation Geom
ICT: Autograph -
Transformations
Activity 1 and 2
ICT: Cabri – Activity 8
and 9 / 202-6
212
209,211
191
203,205
213,215 / 5
5
5
5
5
6
7 / S1
Key questions
·  What is the same and what is different about an object and its image, under an enlargement with SF 2, if the centre of enlargement is :
* at a corner of the object?
* on an edge of the object?
* inside the object?
* outside, to the left of the object?
* outside and below the object?
4 /

NUMBER

Ma2~2a,2b / 3
4 / Recap Factors, multiples, primes, HCF, LCM
Divisibility tests
Prime factor decomposition
Use to find LCM, HCF
Squares, cubes and roots
Investigate problems using above
Using factors, powers and roots in calculations / Pg28 Ex 2.1; 2.2; 2.3; 2.12; 2.4 / 52-56
53
55
57
59
91 / 4/5 / N3
Key questions
5 /

INVESTIGATION

/ CUTTING CORNERS I1 / L
Key questions
6 /

RECAP & ASSESSMENT

Key questions
7 / ALGEBRA ~ Sequences
Ch4
Ma2~ 6a, 6b,6c / 23
24
25 / Arithmetic sequences
Term to term rules
Nth term rules (position to term)
Using nth term for practical contexts / Pg71 Ex 4.1
Ex 4.2 / 147
148
149
155,157,155* / L4
L6 / S1
Key questions
8 /

ALGEBRA ~ Sequences ICT

/ 23 24 / Using a spreadsheet to generate sequences / ICT: Excel – Activities
2, 3 and 4 / 151 / S1
Key questions
9 &10 / SHAPE & SPACE ~ Angles
Ch7
Ma3~ 2a, 2b, 2c, 2d, 2f, 2g, 4b,4d,4e / 29
30
31
34
35 / Definitions
Drawing & measuring
Construct perpendicular bisectors of line and angle
Calculating angles
Straight lines
( complementary/supplementary)
Point
Triangle and proof
Parallel lines and proofs
Polygons ( interior & exterior angles)
Properties of quadrilaterals and proofs
Bearings
Construct triangles and nets
Use logo to generate shapes / Pg137 Ex 7.1
Ex 7.2
Ex 7.3
Ex 7.3
Ex 7.4
Ex 7.5; 7.6; 7.7; 7.8
Ex 7.9; 7.10
W/S needed
Ex 7.11; 7.12 / O/M: Back to Back
Generating loci
ICT: Cabri – Activities
6 and 7
ICT: EXT Cabri –
Activity 10 / 220
221
179
183
181
183*
187,183
233
223
227 / L5
L5
L5
L5
L5
L6
L6
L6 / S2
Key questions
·  How many pairs of corresponding angles can you find?
·  Can a triangle have more than one obtuse angle? Why?
·  Can any set of 3 measurements make a triangle? eg 6, 6, 6 … 6, 4, 5 … 6, 2, 3


TERM 3

1& 2 / DATA HANDLING ~ Averages
Ch13
Ma4~ 4b, 4g, 4g,5d / 47
48
50 / Listed data:
Mean
Mode
Median
Range
Comparing averages
Frequency tables discrete data:
Mean, mode, median, range
Continuous Data
Grouping ~ class intervals
Mean
Mode & Median
Frequency polygons
Stem and leaf diagrams / Pg272 Ex 13.1 Qu1-3
Ex 13.1 Qu4-6
Ex 13.1 Qu7-9
Ex 13.2
Ex 13.3
Ex 13.4 more questions needed
Ex 13.7
Ex 13.8
W/S needed
Ex 13.9 / ‘People photographs’
– see lesson plan 5/6
Comparing
distributions – see lesson plan 6/6 / 256
258
260
273
257
259*
259 / L5
L4
L5
L4
L5
L5
L6
L7
L7
L6 / D2
Key questions
3 / INVESTIGATION / ARGON FACTOR I3,I4
Discuss the need to use statistics
How to sample/find data
Write a short statistical report / 249
251
272 / L

Key questions

4&5 / NUMBER ~ Ratio
Ch11
Ma3~4a,4i
Ma2~ 2f, 3f, 3n, 4a,5g / 8
36 / Length
Metric system & conversions
Imperial to metric
Mass
Imperial to metric
Capacity
Imperial to metric
Area and volume conversions
Using ratio
Simple proportion
Simplifying ratios
Understand the link between ratio and proportion
Sharing in a given ratio
Recap above
Use graphs and set up equations to solve simple problems involving direct proportion
Using maps & scales / Pg227 Ex 11.1
Ex 11.2
Ex 11.3
Ex 11.4
Ex 11.6
Ex 11.7
Ex 11.8 Qu1
Ex 11.8 Qu2 onwards
Ex 11.9
Ex 11.10; 11.11 / O/M: Fractions times
tables
O/M: Generating
proportional sets
5 x O/M: expressing
proportions…
Metric paper sizes
Exam style Questions
– 1, 2
‘Doll’s House…’ (cards)
Car Trial results
Record Breakers
Orange Squash
NNS: main activities –
phase 1
NNS: main activities –
Phase 3
Problem bank / 231
229
229
229
229*
79
81,81*
81
217* / L5
L5
L5
L5
L5
L6
L6/7
L6
L6
L5/6
6
6
7 / R1
Key questions
·  What is the same and what is different about sharing:
A £60 in the ratio 4 : 6 … and £60 in the ratio 8 : 12
B 80 cm in the ratio 3 : 5 … and 160 cm in the ratio 12 : 20
6 / SHAPE AND SPACE ~ Co-ordinates
Ma2~6e
Ma3~3e / 37 / Co-ordinates in 4 quadrants – plotting and reading
Finding the mid-point of a line / 218
219 / 5 / S4
Key questions
7&8 / ALGEBRA ~ Straight lines
Ch10
Ma2~ 6e, 6f,6h / 26
27
28 / Using function machines and mapping diagrams
Horizontal and vertical lines
Plotting equations in the form Y=mx+c
Identifying key features of above
Find gradient and intercept of linear graphs
Conversion graphs
Using formulae to draw graphs
Compound measures ~ travel graphs
Plotting graphs to represent real life functions / Pg 202 Ex 10.1; 10.2
Ex10.3;10.4;10.5;10.6; 10.7; 10.8
Pg 2 Ex 1.1;.1.2
Ex 1.5
Ex 1.10; 1.11 / O/M or plenary: NNS
Graphs of linear
functions
ICT: Autograph –
Algebra Activity 1 / 161,163
165,167
173,
173*
175,177
175*, 177* / L6
L6
5/6 / S4
Key questions
·  How do you know that there is only one possible position for the line y = 2x + 3
9&10 / MORE ALGEBRA
Ch15
Ma2~ 1g, 5a, 5I,5j / 21 / Solving equations using trial & improvement
Inequalities
Using a number line
Solving simple inequalities
Double inequalities / Pg 318 Ex 15.1; 15.2
Ex15.3;15.4;15.5; 15.6; 15.7
Ex 15.8; 15.9
Ex15.10; 15.11; 15.12 / 131* / L6
L7 / A1
Key questions
11 / EXAMS
12&13 / ALGEBRA ~ Simultaneaous equations
Ma2~ 1f, 5h / 21 / Plotting equations
Graphically solving simultaneous equations
Algebraically solving simultaneous equations / Pg 339 Ex 16.1; 16.2
W/S needed / Ex 16.6; 16.7; 16.8 / 127*, 129* / L6
L7
L7
Key questions
14&15 / SHAPE & SPACE ~ Pythagoras’ theorem
Ma3~ 2h / 31
42 / Using to find the shortest sides
Using to find the hypotenuse / W/S needed / 187*
189* / L7
Key questions

12