Scheme of Work - Year 8

Frameworking Book 3

Scheme of work for the text “Maths Frameworking Book 1” 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, 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

Chapter Title

Content

National

Curriculum

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2.Shape, Space and Measures 1

2.1 Parallel and perpendicular Lines

2.2 Measuring and drawing angles

2.3 Calculating angles

2.4 The geometric properties of quadrilaterals

2.5 Constructions

1 hour

Parallel, perpendicular, right angle, sketch

Acute, obtuse, reflex angle, protractor.

Angles at a point, angles on a straight line, angles in a triangle, vertically opposite angles

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

Construct, measure, protractor, ruler.

WS16S,WS17E

WS18S, WS19E

SSM1

Plotting coordinates !

SSM2

Plotting coordinates 2

SSM3

Investigating angles 1

3. Handling Data 1

3.1 Probability

2.2 Probability scales

3.3 Collecting data

3.4 Events

3.5 Experimental probability

1 hour

Event, impossible, unlikely, likely, even chance.

Probability, event, outcome, random

Event, trail, frequency table, experiment, chance, outcome, probability

Events, probability, dice, chance, information

Data, experimental 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

1 hour

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

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 Two rules of algebra

5.3 Like terms and simplification

5.4 Using algebra and shapes

5.5Expanding brackets

1 hour

1hour

1 hour

Symbol, terms, expression, equals

Indices, power

Simplify, coefficient, like terms, unlike terms

Perimeter, area, rectangle

Term, expression, expand, multiply out

WS31S,WS33S

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6 Shape, Space and Measure 2

6.1 Perimeter and area of a rectangle

6.2 Perimeter and area of compound shapes

6.3 Reading scales

6.4 Surface area of cubes and cuboids

6.5 Converting one metric unit into another

1 hour

Length: millimetre, centimetre, metre,

Area: square millimetre, square centimetre, square metre,

Formula, perimeter, width

Area, compound shape, perimeter

Length, weight, volume, temperature, mass

Cube, cuboid, surface area

Convert, Capacity: millilitre, centilitre, litre

Length: millimetre, centimetre, metre,

Mass: gram, kilogram

WS71S

NA2

Unit conversions

7 Algebra 3

7.1 Linear functions

7.2Finding a function from its inputs and outputs

7.3 Graphs from functions

7.4 Rules with coordinates

7.5 Distance-time graph

1 hour

Mapping, function, linear function, coefficient

Function

Coordinates, axis, parallel

Coefficient, gradient

Travel graph, axes

WS48S

SSM11

Coordinates and straight lines

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Curriculum

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IT Opportunities

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8 Number 3

8. 1 Rounding

8.2 Large numbers

8.3 Estimations

8.4 Adding and subtracting decimals

8.5 Efficient calculations

8.6 Long multiplication and division

1 hour

Round, decimal place, tenth, hundredth

Place value, column heading, power, million, billion

Inverse operation, guess, estimate, approximate, roughly, nearly

Decimal, hundredths, tenths, integer

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

Partitioning, long multiplication, long division, carry digit, column method, place value

WS28S

9 Shape, Space and Measure 3

9.1 Congruent shapes

9.2 and 9.3Combinations of transformations

9.4 Reflections in two mirror lines

9.5 Shape and ratio

1 hour

Congruent, congruence

Map, transformation, reflection, rotation, translation

Mirror, line, reflection

Area, hectare, length, ratio, simplest form

WS97S

WS98E

ICT4,ICT5,ICT6

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10. Algebra 4

10.1 Puzzle mappings

10.2 Puzzle mappings involving more than one operation

10.3Solving equations.

10.4 Substituting into expressions

10.5 Substituting into formulae

10.6 Creating your own expressions and formulae

1 hour

Unknown, solve, mapping, inverse

Operation

Unknown

Expression, substitution, variable

Formula, variable

Consecutive, expression

WS82S

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

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

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

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

Scatter graph, correlation, positive/ negative correlation, interpret

Experiment., tally, frequency, data-collection sheet, database

WS27S

EX3

Getting started in EXCEL 3

HD8

Quartiles, averages and range

HD11

Looking at data 4

Chapter Title

Content

National

Curriculum

Level

Number of

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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

Lowest common denominator, top-heavy fraction, mixed number

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 Lines and equations

13.5Real-life graphs

13.6 Change of subject

1 hour

Expression, expand, simplify

Solve, variable, unknown, inverse mapping

Equation, expression

Gradient, intercept, horizontal run, vertical rise

Axes

Subject, transform, change of subject

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14.Solving problems.

14.1 Number and measures

14.2 Using words and diagrams to solve

14.3Logical solutions and best value

14.4Proportion

14.5Ratio

1 hour

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

Algebra, table, sun, difference, formula, flow chart, example

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

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

Ratio, 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 Coordinates in all four quadrants

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, view

Scale, scale drawing

Axis, coordinates, grid, origin, quadrant, x and y axis, x and y coordinate

Compasses, construct, construction lines

Equidistant, locus, loci

Bearing, three figure bearing, scale drawing, north line, clockwise

Investigate, cube, surface area

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. 1Frequency tables

16.2 The median.

16.3 Drawing frequency diagrams

16.4 Comparing data

16.5Which average to use

16.6Experimental and Theoretical Probability

1 hour

Discrete, data, sample size, frequency table

Median middle value.\, data, set of data

Bar chart, bar-line graph, Frequency diagram, discrete data

Comparison, range, mode, median, mean

Mode, mean, median, extreme value, appropriate data, central value

Biased, event, experimental probability, theoretical probability

EX3

Getting started in EXCEL 3

HD8

Quartiles, averages and range

HD11

Looking at data 4