Scheme of Work - Year 8

Frameworking Book 3

Scheme of work for the text “Maths Frameworking Book 2” Year 8

Chapter Title

Content

National

Curriculum

Level

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Lessons

Key words

Additional resources

IT Opportunities

Comments

1. Number and Algebra

1.1 Multiplying and dividing negative numbers

1.2 HCF and LCM

1.3 Powers and roots

1.4 Prime Factors

1.5 Sequences 1

1.6 Sequences 2

1.7 Solving Problems

1 hour

Positive, negative, multiply, divide and inverse proportion.

Multiply, factor, prime, highest common factor, lowest common multiple.

Square, square root, power, index

Factor, Prime, HCF, LCM, powers

Sequences, term, rule, flow diagram, generate, consecutive

Arithmetic Sequence, constant difference, first term, nth term.

Investigation, table, simpler case, rule, test, predict.

WS49S\

WS50S

WS62S\

WS63S

WS93S

WS94E

NA11

Investigating sequences

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2.Shape, Space and Measures 1

2.1 Alternate and corresponding angles

2.2 Angles in triangles and quadrilaterals

2.3 Geometric proof

2.4 The geometric properties of quadrilaterals

2.5 Constructions

1 hour

Corresponding, alternate, supplementary, complementary, interior, exterior angles, parallel, perpendicular

Sum, prove, proof, triangle, quadrilateral, vertex, vertices, angles

Exterior angle, interior angle, proof, prove

Acute, obtuse, reflex angle, protractor.

Bisect, diagonal, quadrilateral, square, rectangle, parallelogram, rhombus, kite, arrowhead, delta, trapezium

Bisect, bisector, compasses, construction and construction lines, mid-point, perpendicular bisector, straight edge

WS16S,WS17E

WS18S, WS19E

SSM1

Plotting coordinates 1

SSM2

Plotting coordinates 2

SSM3

Investigating angles 1

SSM6

Investigating angles 2

SSM7

Investigating angles in triangles and quadrilaterals

3. Handling Data 1

3.1 Probability

2.2 Probability scales

3.3 Mutually exclusive events

3.4 Calculating probabilities

3.5 Experimental probability

1 hour

Event, theory, sample, sample space, biased

Probability, event, outcome, random

Event, mutually exclusive, equally likely, chance, outcome

Single events, successive events, sample space, table, dice

Data, experimental and theoretical probability, different outcomes, estimate of probability

WS89S

WS90E

WS91S

WS92S

HD10

Probability models

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4. Number 2

4.1 Fractions and decimals

4.2 Adding and subtracting decimals

4.3 Percentages

4.4 Percentage increase and decrease

4.5 Real life problems WS31S,WS33S

1 hour

Numerator, denominator, terminating decimal, recurring decimal, simplest form

Common denominator, top heavy fraction, mixed number

Equivalent fraction, denominator, rounding off

Percentage increase/decrease, reduction, VAT, sale price, original price, selling price.

Deposit, percentage profit/loss, credit, cost price, selling price

WS51S, WS52E.

WS53S

WS77S

WSTEST18

WS79E

5. Algebra 2

5.1 Algebraic shorthand

5.2 Like terms

5.3 Expanding brackets

5.4 Using algebra and shapes

5.5 Index notation with algebra

1 hour

Symbol, terms, expression, equals

Algebraic expressions, like terms, simplify

Multiply out, expand, BODMAS

Perimeter, area, rectangle

Power, index, indices

WS31S,WS33S

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6 Shape, Space and Measure 2

6.1 Area of triangle

6.2 Area of a parallelogram

6.3 Area of trapezium

6.4 Volume of a cuboid

6.5 Imperial units

1 hour

Area, base, compound shape, perpendicular height, triangle

Area, base, perpendicular height, parallelogram

Area, base, perpendicular height, trapezium

Capacity: millilitre, centilitre, litre

Volume: cubic millimetre, cubic centimetre, cubic metre

Capacity: litre, paint, gallon

Length: centimetre, meter, kilometre, foot, yard, mile

Mass: Gram, kilogram, tonne, ounce, pound

WSTEST17

WS71S

WS73S

WS55S,WS56E

NA2

Unit conversions

7 Algebra 3

7.1 Linear functions

7.2 Finding a function from its inputs and outputs

7.3 Graphs from functions

7.4 Gradient of a straight line

7.5 Real life graphs

1 hour

Mapping, function, linear function, coefficient

Function

Coordinates, axis, parallel

Coefficient, gradient

Travel graph, average speed

WS48S

SSM11

Coordinates and straight lines

SSM13

Investigating straight lines 1

SSM14

Investigating straight lines 2

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8 Number 3

8. 1 Rounding

8.2 Powers of 10

8.3 Estimations

8.4 Adding and subtracting decimals

8.5 Efficient calculations

8.6 Multiplying and dividing decimals

1 hour

Round, decimal place, tenth, hundredth

Place value, column heading, power, million, billion

Estimate, round, approximate

Decimal, hundredths, tenths, integer

Calculator, display, enter, clear, brackets, key, square, square root

Long multiplication, long division, column method, chunking

WS28S

9 Shape, Space and Measure 3

9.1 Congruent shapes

9.2 Combinations of transformations

9.3 and 9.4 Enlargements

9.5 Shape and ratio

1 hour

Congruent, congruence

Map, tessellation, transformation, reflection, rotation, translation

Centre of enlargement, enlarge, enlargement, image, object, scale, scale factor

Area, hectare, length, ratio, simplest form, volume

WS97S

WS98E

ICT4,ICT5,ICT6

ICT7

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10. Algebra 4

10.1 Solving equations

10.2 Equation involving negative numbers

10.3Equations with unknown on both sides

10.4 Substituting into expressions

10.5 Substituting into formulae

10.6 Creating expressions ,formulae

1 hour

Equation, linear equation, unknown, solve,

Negative

Unknown

Expression, substitution, variable

Formula, variable, Celsius, centrigade, Fahrenheit

Consecutive, expression

WS82S

WS84S

11. Handling Data 2

11.1 Statistical surveys.

11.2 Stem and leaf diagram

11.3 Pie charts

11.4 Scatter graphs

11.5Analysing data

1 hour

1hour

Survey, questionnaire, experiment, statistics, grouped data, class interval, tally, frequency, data-collection sheet, database, sample, primary and secondary source, data log, 2-way table, discrete, continuous data

Range, median, mode, modal class, mean, average, stem an leaf diagram

Frequency diagram, primary/secondary data, bar/ pie chart, bar-line/scatter graph

Scatter graph, correlation, positive/ negative correlation, interpret

As in 11.1

WS27S

HD8

Quartiles, averages and range

HD11

Looking at data 4

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12. Number 4

12.1 Fractions

12.2 Adding and subtracting fractions

12.3 BODMAS

12.4 Multiplying decimals.

12.5 Dividing decimals

1 hour

Top-heavy fraction, mixed number, cancelling, equivalent fraction

Lowest common denominator

Order of operations, power, brackets

Decimal place, product

Equivalent calculation, decimal place

WS8S

13. Algebra 5

13.1 Expansion of brackets

13.2 Solving equations

13.3 Constructing equations to solve

13.4 Problems and graphs

13.5 Real-life graphs

13.6 Change of subject

1 hour

Expression, expand, simplify

Solve, variable, unknown

Equation, expression

Gradient, intercept, horizontal run, vertical rise

Axes

Subject, transform, change of subject, express in terms of

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14.Solving problems.

14.1 Number and measures

14.2 Using algebra, graphs and diagrams to solve

14.3Logic and proof

14.4 Proportion

14.5 Ratio

1 hour

Solve, problems, investigate, consecutive, digit, product, number, measure

Algebra, algebraic, graph, sum, difference, equation, flow chart, expression, formula, example

Proof, counter-example, justify, conclude, solution, solve

Proportion, fraction, decimal, percentage, ratio, litres, volume, kilogram

Ratio, unitary method, divide, problem, percentage (%), ratio notation

WS64E,WS65E

WS66E

15. Shape, Space and Measures 4

15.1 and 15.2 Plans and elevations

15.3 Scale drawings

15.4 Finding the midpoint of a line segment

15.5 To construct a triangle given three sides

15.6 Loci

15.7 Bearings

15.8 A cube investigation

1 hour

1 hours

1 hour

Elevation, isometric, plan view,

Plan view, scale, scale drawing, scale factor

Coordinates, line segment, mid-point

Compasses, construct, construction lines

Equidistant, locus, loci, angle bisector, perpendicular bisector

Bearing, three figure bearing, scale drawing

Investigate, cube, surface area

WS22S

SSM15

Drawing bearings

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IT Opportunities

Comments

16. Handling Data 3

16. 1Frequency tables

16.2 Assumed mean working mean

16.3 Drawing frequency diagrams

16.4 Comparing data

16.5 Which average to use

16.6 Experimental and Theoretical Probability

1 hour

Primary source, secondary source, sample size, frequency table

Mean, assumed mean

Bar chart, bar-line graph, frequency diagram, data, time series, continuous data, discrete data

Comparison, range, mode, median, mean, distribution

Modal class, extreme value, appropriate data, central value

Biased, event, experimental probability, theoretical probability, sample, sample space, theory

EX3

Getting started in EXCEL 3

HD8

Quartiles, averages and range

HD10

Probability models

HD11

Looking at data 4