Scheme of Work

Active Math 2

Frameworking Book 1

Frameworking Book 2

Frameworking Book 3

Scheme of work for the text “Maths Frameworking Book 3” Year 8

Chapter Title

Content

National

Curriculum

Level

Number of

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, directed number multiply, product, divide and inverse proportion, BODMAS

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

Square, square root, cube, cube root, power, index

Factor, Prime, HCF, LCM, power, index

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,WS63E

WS93S

WS94E

NA11

Investigating sequences

Chapter Title

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National

Curriculum

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IT Opportunities

Comments

2.Shape, Space and Measures 1

2.1 Alternate and corresponding angles

2.2 Interior and exterior angles of a polygon

2.3 Geometric proof

2.4 The geometric properties of quadrilaterals

2.5 Constructions

1 hour

Corresponding, alternate, supplementary, complementary, parallel

Polygon, interior, exterior angle, vertex

Demonstration, proof, prove

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

Chance, event, theory, probability, random, predictable, experiment, bias

Probability, event, outcome

Event, mutually exclusive, equally likely

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

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

WS89S

WS90E

WS91S

WS92S

HD10

Probability models

Chapter Title

Content

National

Curriculum

Level

Number of

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IT Opportunities

Comments

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

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, sale 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, equal

Algebraic expressions, like terms, simplify

Multiply out, expand, factorise

Perimeter, area, expansion, simplify

Power, index, indices, cancelling

WS31S,WS33S

Chapter Title

Content

National

Curriculum

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IT Opportunities

Comments

6 Shape, Space and Measure 2

6.1 The circle

6.2 Circumference of a circle

6.3 Area of a circle

6.4 Surface area and volume of a prism

6.5 Imperial units

1 hour

Centre, circumference, arc, radius, diameter, chord, tangent, segment, sector, semicircle

Circumference, diameter, pi, radius

Area, diameter, pi, radius

Prism, cross-section, volume, surface area

Metric, imperial units, conversions, capacity, length, mass

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, inverse

Coordinates, axes, equation

Gradient, intercept, coordinates, axes

Travel graph, average speed

WS48S

SSM11

Coordinates and straight lines

SSM13

Investigating straight lines 1

SSM14

Investigating straight lines 2

Chapter Title

Content

National

Curriculum

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Number of

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IT Opportunities

Comments

8 Number 3

8.1 Powers of 10

8. 2 Rounding

8.3 Estimations

8.4 Adding and subtracting decimals

8.5 Efficient calculations

8.6 Multiplying and dividing decimals

1 hour

Round, decimal place, power of 10, tenth, hundredth

Place value, column heading, power, million, billion

Estimate, round, approximate

Decimal, hundredths, tenths, integer, decimal place, rounding

Calculator, display, brackets, key, square, square root, fraction, power

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 Enlargements

9.4 Planes of symmetry

9.5 Shape and ratio

1 hour

Transformation, object, image, congruent

Map,transformation, reflection, rotation, translation

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

Plane, solid, plane of symmetry axis of symmetry

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

WS97S

WS98E

ICT4,ICT5,ICT6

ICT7

Chapter Title

Content

National

Curriculum

Level

Number of

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Key words

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IT Opportunities

Comments

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 your own expressions and formulae

1 hour

Equation, linear equation, unknown, solve,

Negative

Unknown

Expression, substitution, variable

Formula, variable, Celsius, centigrade, Fahrenheit

Expression, expression

WS82S

WS84S

11. Handling Data 2

11.1 Statistical surveys.

11.2 Stem and leaf diagram

11.3 Interpreting graphs and diagrams

11.4 Scatter graphs

11.5 Analysing data

1 hour

1hour

1 hour

Problem, hypothesis, survey, questionnaire, observation, data

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

Interpret, criticise, secondary data, table, graph, pie chart, pictogram, bar chart, frequency diagram

Scatter graph, correlation, positive/ negative correlation,

Problem, hypothesis data, presentation, report, conclusion

WS27S

HD8

Quartiles, averages and range

HD11

Looking at data 4

Chapter Title

Content

National

Curriculum

Level

Number of

Lessons

Key words

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IT Opportunities

Comments

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

Common denominator

Order of operations, power, brackets, power

Decimal place, product, equivalent product

Equivalent calculation, decimal place

WS8S

13. Algebra 5

13.1 Expansion of brackets and simplify

13.2 Solving equations

by trial and improvement

13.3 Constructing equations

13.4 Problems and graphs

13.5 Real-life graphs

13.6 Change of subject

1 hour

Expression, equation, expand, simplify, like terms

Linear, non-linear, powers, trial and improvement

Equation, construct, solve

Gradient, intercept, horizontal run, vertical rise

Axes, relationship, variable

Subject, transform, express in terms of

Chapter Title

Content

National

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IT Opportunities

Comments

14.Solving problems.

14.1 Number and measures

14.2 Using algebra, graphs and diagrams to solve

14.3 Logic and proof

14.4 Proportion

14.5 Ratio

1 hour

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

Algebra, graph, equation, flow chart

Solution, proof, trial and improvement, integer, consecutive, best value, counter-example

Proportion, fraction, decimal, percentage, ratio, conversion

Ratio, unitary method, percentage (%), fraction, conversion

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

15.5 Map scales

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,

Coordinates, line segment, mid-point

Map, scale drawing, map scale, map ratio, scale factor

Equidistant, locus, loci, angle bisector, perpendicular bisector

Bearing, three figure bearing, north, back bearing

Investigate, cube, surface area, volume

WS22S

SSM15

Drawing bearings

Chapter Title

Content

National

Curriculum

Level

Number of

Lessons

Key words

Additional resources

IT Opportunities

Comments

16. Handling Data 3

16. 1Collecting data and frequency tables

16.2 Assumed mean working mean

16.3 Drawing frequency diagrams

16.4 Comparing data

16.5 Comparing sets of data

16.6 Experimental and theoretical Probability

1 hour

Data, primary source, secondary source, sample size, frequency table, class interval, bias, data collection

Mean, assumed mean, range

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

Comparison, range, mode, median, mean, distribution, variation, consistency

Comparison, percentage bar chart, distribution

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

EX3

Getting started in EXCEL 3

HD8

Quartiles, averages and range

HD10

Probability models

HD11

Looking at data 4