Scheme of Work - Year 8

Frameworking Book 3

Active Math 2

AT

Chapter title

Content

No. of weeks

Additional resources / ideas

Comments / feedback from departmental meetings

IT Opportunities

1. Arithmetic 1

· Basic Principles

· Decimals

· Fractions

· Directed Number

· The Calculator

· Percentages

Extension

Recurring decimals to fractions

Defn. of rational/irrational nos.

◄ Use own method of increasing and decreasing percentages

◄Notation for recurring decimals

◄BEDMASsig figs and decimal places included

Algebra 1

· Basic Principles

· Symbolic Expression

· Brackets

· Substitution

· Equations

· Problem Solving

· Sequences

üü

Extension

Expand double brackets

Investigate numerically

e.g. (2+3)(4+1) =(2)(4)+(3)(4)…..

◄SMP type introduction to finding n^th term of sequence is better method

◄Masterminders only accessible to most able.

Proportion

· Basic Principles

· Change of units

· Exchange rates

· Problem Solving

· Science Problems

üü

2½

◄Students need to become familiar with Imperial units.

*Need to know

1inch » 2.5cm 1kg » 2.2pounds

1mile » 1.6km 1yard » 0.9m

1 litre » 1.75 pints

◄Calculators (Scientific) essential in this chapter. Large numbers.

Geometry 1

· Basic Principles

· Parallel lines

· Symmetry of quadrilaterals

· Rotational symmetry

· Angles of polygon

· Miscellaneous calculations

2, 3

2½

◄Activity 11 involves paper folding for symmetry

Show various methods for interior

angles of regular polygons

1. E = 360 ¸ n, I = 180 – E

2. angles round point followed by isosceles triangles

3. sum of int. angles = 180(n – 2)

◄Terminology: The books uses ‘allied’ angles-also called interior or co-interior angles.

◄Although nominally only goes to level 6 this is a very challenging chapter

Logo – for symmetry and developing interior/exterior angle work, move into tessellations, why some shapes and not others?

AT

Chapter title

Content

No. of weeks

Additional resources / ideas

Comments / feedback from departmental meetings

IT Opportunities

Graphs 1

· Basic Principles

· Drawing graphs

· Using graphs

2,4

1½

*Extension

linear graphs (y=mx+c) and quadratic graphs

testing a point on a graph by substitution (on some SATs!)

◄Need for accuracy. Care with interpretation.

* see Extension

use of ‘omnigraph’ see ETU

Algebra 11

· Multiplication and Division

· Fractions

· Factors

· Substitution

· Equations

◄Use of”confectioery box’ for expanding brackets ,then for factorising

.◄Problem solving: write the facts, use algebra.

Reminder of BEDMAS and directed numbers when substituting

Arithmetic 11

· Index form

· Standard form

· Percentages

· *Cross number

◄What is the largest number that can be made with 3 digits? How big is it?

◄Photocopy

◄Most questions use real data. Students should think about what it really means.

◄Very demanding, prompt required by some.

Statistics and Probability

· Basic Principles

· Pie charts

· Probability

1½

Relative probability-use activities in book.

Grouped frequencies not covered.

Use Excel to produce graphs and pie charts.

		AT	5	6	7	8
Chapter title	Content						No. of weeks	Additional resources / ideas	Comments / feedback from departmental meetings	IT Opportunities
9. Graphs 11	· Travel Graphs · Information graphs	4	ü ü				1½	◄Railway Problem – Activity 23 is very good, but needs discussion and organisation	◄Cover misrepresentation of data. Note: Cross curricular in Citizenship program.
10. Transformations	· Basic Algebraic graphs* · Reflections · Rotations · Translations · Miscellaneous transformations	3	ü ü	ü ü ü ü			3	◄Everyday examples of reflections, rotations and translations	◄* lines y = a, x = a, y =±x etc.	Use LOGO for reflection etc.
11. Algebra 111	· Basic Principles · Area · Graphs and Area · Speed · Formulae · Inequalities	2 3 ()	ü ü ü ü ü	ü ü ü	ü ü		4	◄Examples involving compound shapes	◄Learn formulae for areas ◄Introduce ‘sandwich notation where appropriate	10/10 Algebra: Inequalities, equations
12 Geometry 11	· Basic Principles · Bearings and maps</