Year 10 ALC & WPC

Week Chapter Content Code Chapter Summary Contents
1 Ratio and proportion N11, R2, R3, R4, R5, R6, R7, R8, R9, R12 • Express proportions of amounts as fractions or percentages.
• Divide a quantity in a given ratio.
• Use scale factors to convert between lengths on maps and scale diagrams and the distances they represent.
• Calculate percentage increase and decreases using multipliers.
• Find the original amount of a quantity that has undergone a percentage increase or decrease.
4 Factors, powers and roots  N4, N5, N6, N7, N8, P6 • Know and use the language of prime numbers, factors and multiples.
• Write a number as a product of prime factors.
• Find the HCF and LCM of a pair of integers.
• Find the square or cube root of an integer.
• FInd the square and cube roots of numbers and apply the laws of indices.
• Simplify expressions involving surds including rationalising fractions.
Assessment  Answers
7 Graphs 1  A5, A8, A9, A10, A11, A12, A14, A18, R6, R8, R14 • Find and interpret the gradient and y-intercept of a line and relate these to the equation of the line in the form y = mx + c.
• Identify parallel and perpendicular lines using their equations.
• Draw line graphs and quadratic curves.
• Identify roots, intercepts and turning points of quadratic curves using graphical and algebraic methods.
• Use graphs to solve problems involving distance, speed and acceleration.
12 Working in 3D A5, G1, G12, G13, G14, G16, G17, G19, R11, R12 • Draw and interpret plans and elevations of 3D shapes.
• Calculate the volume of cuboids and right prisms.
• Calculate the surface area and volumes of spheres, pyramids, cones and composite shapes.
• Know and apply the relationship between lengths, areas and volumes of similar shapes.
Assessment Answers
16 Handling data 2 A17, S2, S3, S4, S5, S6. • Calculate summary statistics from a grouped frequency table.
• Construct and interpret cumulative frequency curves and box plots.
• Plot scatter graphs and recognise correlation.
• Use tables and line graphs to represent time series data.
19 Calculations 2 A4, A19, N2, N6, N7, N8, N9 • Perform calculations involving roots and indices, including negative and fractional indices.
• Perform exact calculations involving fractions, surds and pi.
• Work with numbers in standard form.
Assessment  Answers
22 Graphs 2 A12, A13, A14, A15, A16, G9, R14 • Recognise and draw graphs of cubic and reciprocal functions.
• Recognise and draw graphs of exponential functions.
• Recognise and sketch graphs of trigonometric functions.
• Recognise and sketch translations and reflections of graphs.
• Draw and interpret graphs of non-standard functions and use them in real-life problems.
• Approximate the gradient of a curve at a given point and the area under a graph.
Interpret these values in real-life problems including kinematic graphs.
• Recognise and use simple equations of circles and find the tangent to a circle at a point.
26 Pythagoras, trigonometry and vectors G1, G4, G6, G9, G11, G19, G20, G21, G22, G23, G25, N8, R12 • Use Pythagoras’ theorem to find a missing side in a right angled triangle.
• Use Pythagoras’ theorem to find the distance between points on a coordinate grid.
• Use trigonometric ratios to find missing lengths and angles in triangles.
• Find exact values for sin theta and cos theta for key angles.
• Use the sine and cosine rules to find missing lengths and angles.
• Use the sine formula for the area of a triangle
• Calculate with vectors and use them in geometric proofs.
31 Probability of combined events  N5, P1, P2, P4, P6, P7, P8, P9 • Use Venn diagrams to represent sets.
• Use a possibility space to represent the outcomes of two experiments and to calculate probabilities.
• Use a tree diagram to show outcomes of two experiments.
• Calculate conditional probabilities.
34 Revision for mock examination