From Monday 23rd March, until further notice, Toot Hill School will only be open for children of key workers and vulnerable groups. Registration links are available on the home page.

# Year 8 Curriculum

Please note that the specifics of what is covered in each unit will depend on the learning needs of each group. The tables below give a guide to what may be covered in the course of a unit.

Autumn Term

 Unit Name Topics Covered Number 1 Mental, Written and Calculator Methods Mental, written and calculator methods for addition, subtraction, multiplication and division of integers and decimals; Order of operations. Geometry 1 Area and Perimeter Perimeter and area of rectangles, parallelograms, trapezia and circles. Perimeter and area of compound shapes. Probability Probability vocabulary; calculating the probability of an event occurring or not occurring; using frequency trees and Venn diagrams to list show outcomes and find probabilities; calculating probabilities based on experimental data and comparing with theoretical results. Number 2 Place Value, Rounding, Estimating and Checking Multiplying and dividing by powers of 10; Rounding to powers of 10; Rounding to decimal places; Rounding to significant figures; Use rounding to make estimates. Geometry 2 Measures and Conversions Metric units; Scales; Converting units; Approximate imperial conversions; Converting measures of area and volume; Maps and scale drawings; Compound measures such as speed. Algebra 1 Simplifying and Substitution Construct and use expressions and formulae; Simplifying expression by collecting like terms; Expanding single and double brackets; Index notation; Substitution including negatives and decimals; Simple algebraic fractions; Algebra 2 Co-ordinates Reading and plotting coordinates; Coordinate geometry; Midpoints of line segments; Dividing a line segment into a given ratio.

Spring Term

 Unit Name Topics Covered Algebra 3 Sequences Number and picture patterns; Generating sequences using term-to-term rules; Generating sequences using position-to-term rules; Find the nth term of a linear sequence; Find the nth term of a quadratic sequence; Recognise and use triangular numbers; square numbers; cube numbers and the Fibonacci sequence. Geometry 4 2D and 3D    Visualising Properties of 2D and 3D shapes; Nets; Plans and elevations; Isometric drawing. Number 3 Integers, Powers and Roots Prime numbers; Arithmetic with negative numbers; Factors; Multiples; Highest common factor; Lowest common multiple; Prime factor decomposition; Roots of numbers; Standard form; Calculations with standard form. Algebra 4 Solving Equations Solving one-step and two-step equations; Solving equations with brackets; Solving equations with unknowns on both sides; Construct simple linear equations; Solving equations with fractional and negative coefficients. Geometry 5 Lines, Angles and Shapes Types of angles; Angles on straight lines and in triangles; Angles properties of parallel lines; Interior and exterior angles of polygons; Bearings from and between points; Parts of circles; Number 4 Fractions, Decimals and Percentages Shading and stating fractions; Simplifying fractions; Converting between improper and mixed number fractions; Adding, subtracting, multiplying and dividing with fractions; Simple algebraic fractions; Percentages of amounts; Percentage increase and decrease; Percentage change; Finding original amounts; Converting between fractions, decimals and percentages; Ordering fractions, decimals and percentages. Geometry 6 Volume and Surface Area Volume and surface area of cuboids, right prisms and cylinders.

Summer Term

 Unit Name Topics Covered Ratio, Proportion and Rates of Change Creating, simplifying and using ratios; Simple proportion including recipes;  Dividing amounts into a given ratio; Comparing quantities using proportion; Variation (direct and inverse proportion). Geometry 7 Transformations and Vectors Lines and planes of symmetry; Reflection in lines, axes or lines given by equations; Rotational symmetry; Rotating shapes about a given point; Translations given by instructions and by vectors; Enlargements; Enlargement from a point; Describing transformations; Combinations of transformations. Statistics 1 Processing, Representing and Interpreting Pictograms; Frequency tables; Bar charts including dual and composite bar charts; Pie charts; Scatter graphs and correlation; Measures of average (mean, median and mode) and dispersion (range, quartiles and inter quartile range); Mean from frequency tables; Mean from grouped frequency tables. Geometry 8 Pythagoras and Trigonometry Pythagoras’ theorem in 2D contexts. Algebra 5 Formulae Substitution into formulae; Changing the subject of a formula. Algebra 6 Functions and Graphs Geometry 9 Loci and Constructions Drawing 2D and 3D shapes; Construct parallel and perpendicular lines; Constructing triangles; Construct perpendicular bisectors of a line, bisect an angle; Simple loci;

# Mathematics

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