Getting started. Introductions, expectations and course outline. Study habits/best practices/advice

Identify and use natural numbers. Understand notation of Venn diagrams. Definition of sets.

Squares, square roots, cubes and cube roots and other powers and roots of numbers. Use the language and notation of simple fractions and percentages. Equivalence and conversion.

Order quantities by magnitude and demonstrate familiarity with the symbols. Indices (fractional, negative and zero) and use the rules of indices. Use the standard form and the four rules for calculations.

Estimates of numbers, quantities and lengths. Upper and lower bounds for data

Ratio and proportion. Percentages, Time and Money.

Simple interest and compound interest. Exponential growth and decay.

Review of Unit 1

Assessment on Unit 1 Discussion/Questions/Concerns

Review unit 1 assessment/Help with any misconception
Use letters to express generalised numbers. Construct and rearrange complicated formulae and equations. Manipulate directed numbers. Use brackets and extract common factors.

Expand products of algebraic expressions. Factorise where possible expressions. Manipulate algebraic fractions. Factorise and simplify rational expressions.

Positive, negative and zero indices. Use and interpret fractional indices. Use the rules of indices. Derive and solve linear equations in one unknown. Derive and solve simultaneous linear equations in two unknowns

Derive and solve simultaneous equations, involving one linear and one quadratic Derive and solve quadratic equations by actorization, completing the square and by use of the formula. Derive and solve linear inequalities.

Represent inequalities graphically and use this representation to solve simple linear programming problems. Number sequence. Patterns in sequences including the term to term rule and relationships between different sequences. Find and use the nth term of sequences.

Direct and inverse proportion. Function notation. Inverse functions. Composite functions. Interpret and use graphs.

Construct tables of values for functions. Draw and interpret these graphs. Distance–time and speed–time graphs, acceleration and deceleration. Calculate distance travelled as area under a speed–time graph. Estimate gradients of curves by drawing tangents. Understand the idea of a derived function.

Review of Unit 2

Assessment of unit 2 Discussion/Questions/Concerns

Review unit 2 assessment/Help with any misconception
Cartesian coordinates in two dimensions.

Gradient of a straight line. Gradient of a straight line from the coordinates of two points on it

Coordinates of the midpoint of a straight line from the coordinates of its end points. Interpret and obtain the equation of a straight line graph.

Determine the equation of a straight line parallel to a given line. Find the gradient of parallel and perpendicular lines.

Review of unit 3

Assessment of Unit 3 Discussion/Questions/Concerns

Review unit 3 assessment/Help with any misconception
Use and interpret the geometrical terms

Measure and draw lines and angles. Scale drawings.

Calculate lengths of similar figures. Congruence criteria for triangles.

Rotational and line symmetry. Symmetry properties of the prism.

Symmetry properties of circles. Calculate unknown angles using the various geometrical properties.

Calculate unknown angles using the various geometrical properties. (Continued)

Calculate unknown angles using the various geometrical properties. (Continued)

Review of Unit 4

Assessment of Unit 4 Discussion/Questions/Concerns

Review unit 4 assessment/Help with any misconception
Use current units of mass, length, area, volume and capacity.

Calculations involving the perimeter and area of a rectangle, triangle, parallelogram and trapezium and compound shapes. Calculations involving the circumference and area of a circle.

Calculations involving the surface area and volume of a cuboid, prism and cylinder.

Calculations involving the surface area and volume of a cuboid, prism and cylinder. (Continued) Calculations involving the areas and volumes of compound shapes.

Review of unit 5

Assessment of Unit 5 Discussion/Questions/Concerns

Review unit 5 assessment/Help with any misconception. Interpret and use three-figure bearings. Pythagoras’ theorem and the sine, cosine and tangent ratios.

Pythagoras’ theorem and the sine, cosine and tangent ratios. (Continued) Recognise, sketch and interpret graphs of simple trigonometric functions.

Solve simple trigonometric equations for values between 0° and 360°. Using the sine and cosine rules.