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Mathematics

“The only way to learn Maths is to do Maths”   Paul Halmos

MATHEMATICS: Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason

mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

Year 7 Maths Curriculum

Year 8 Maths Curriculum

Theme

Content

Assessment

Theme 1

Working with numbers

(7 weeks)

Expand/Factorise: Revise single brackets and simplify. Indices: Revise laws  for multiplication and division Introduce negative and fractional powers in the context of laws. Standard form:  conversions and four operations. Rounding to significant figures, estimating. Pythagoras: Connect with magnitude of vectors; speed. Percentages: x out of y as a %, find x% of y, outcome of % increase / decrease. Convert between decimals, fractions and %: Banking: Interest etc.

End of topic test

Theme 2

Algebra, sequences, proportionality, ratio, scales & angles

(6 weeks)

Algebra   Revise: solve equations including unknowns on both sides. Solve linear equations with fractional coefficients. Linear inequalities & number line representation. Substitute into formulae. Derive formulae. Rearrange formulae in simple cases. Nth term of linear sequence. Proportion – recipe questions. Ratio: simplifying, sharing, comparing with fractions, proportional reasoning [Chef/Cook/catering recipe scaling up. Engineering: Concrete mixtures] Geometry and measures: bearings and scale drawing [Design/Architecture]

End of topic test

Theme 3

Probability

(2 weeks)

Probability & relative frequency, sample space diagrams, listing outcomes

[Actuaries (Risk etc)]

End of topic test

Theme 4

Area, angle and Volume

(5 weeks)

Shape: revise angles – basic facts, parallel lines. 3 letter naming. Interior/exterior angles of polygons and tessellation. Areas of triangle, parallelogram, trapezium, compound shapes

Circumference and area of circles. Arc length, sector area. Surface area/volume of cuboids. Density and Compound measures.

End of topic test

Theme 5

Linear & curved graphs

(4 weeks)

Revise: plot graphs in form y = mx + c. Plot graphs for implicit functions (e.g. ay + bx = 0, y + bx + c = 0)

Plot curved graphs (y=x2 ; y = 3x2+4; y=x3). Gradient and intercept   real life interpretation of gradient as a constant rate of chance. Equation of a line parallel to L with given y-intercept. Simultaneous equations graphically and by elimination. Mathematical modelling: Intersection of linear cost-time graphs. What examples of linear growth can we find in Real Life?

End of topic test

Theme 6

Consolidation of number and Trigonometry

(2 weeks)

Revise fractions. Four operations, reciprocal. Cancel common factors before multiplying.

Taking the reciprocal is a self-inverse operation like multiplying by – 1. Trigonometry (include bearings questions) [Engineering, Conservatory roof design etc].

End of topic test

Theme 7

Using averages

(3 weeks)

Averages: revise finding from lists. Revise finding mean/mode/range from frequency table.

Median from frequency table. Estimated mean, modal class, median class from grouped. CF graphs to find median quartiles, IQR. Box plots.

End of topic test

Theme 8

Real-life charts & graphs

(3 weeks)

Revise: Bar, Pie, scatter (best fit & correlation). Time series. Look for examples of misleading statistical graphs and statements in the media. Discuss why they are misleading. Is it due to scales on the axes that make growth look better? Is it a Pie chart with no indication of population size?

End of topic test

Theme 9

Harder algebra & constructions

(4 weeks)

Expand double brackets, simplify easy algebraic fractions, add/subtract algebraic fractions. Geometry: Constructions and Loci – Constructions with straight edge and compasses; Regions, angle bisectors, perpendicular bisectors.

End of topic test