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1 SUBJECT Mathematics-Year 10 Higher HOD: C Thenuwara TERM 1 UNIT TITLES LEARNING OBJECTIVES ASSESSMENT ASSIGNMENTS Basic Number Using multiplication and division of decimals in 3 topic assessment-non calculator calculations and approximations. 3 topic assessment -Calculator Using knowledge of multiples, factors, prime numbers, powers and roots to calculate LCM and HCF. Using BIDMAS to carry out calculations with negative numbers. Fractions, Ratio and Percentages Calculations with addition, subtraction, multiplication and division of fractions. Calculating one quantity as a fraction and percentage of another. Calculating percentage increase and decrease. Statistical Diagrams and Averages Representing and interpreting data in the form of pie charts, line graphs and scatter diagrams. Describing correlation. Calculating the mean, median, mode and range of grouped and ungrouped data.
2 Number and Sequences Completing number sequences and finding the nth term of a linear sequence. Recognising number sequences such as square, cube, triangular, geometric, primes and Fibonacci. Ratio and Proportion Generating rules from patterns and finding the nth term of a quadratic sequence, Angles Understanding angle properties such as angles on a straight line, around a point, vertically opposite, in parallel lines and in quadrilaterals. Calculating angles in regular and irregular polygons Understanding scale drawings and bearings.
3 TERM 2 Transformation, Constructions and Loci Understanding how to describe congruency and the order of rotational symmetry in 2D shapes. Understanding transformations such as translation, reflection, rotation and enlargement. Drawing combinations of transformations and bisectors. Solving locus problems and constructing and interpreting plans and elevations of 3D shapes. 3 topic assessment Non calculator 3 topic assessment -Calculator Algebraic Manipulation Substituting numbers into expressions and formulae. Simplifying, expanding and factorising expressions. Expanding brackets, factorising quadratics and rearranging formulae. Length, Area and Volume Calculating the circumference and area of a circle. Calculating the area of a parallelogram and trapezium. Calculating the length of an arc, area and angle of a sector. Calculating the volume of a prism, pyramid, cylinder, cone and sphere. Calculating the surface area of a cylinder, cone and sphere.
4 Linear Graphs Drawing and finding the equation of a linear graph Calculating information from a conversion graph Using graphs to find formulae and solve simultaneous linear equations Drawing linear graphs parallel or perpendicular to other lines Right Angled Triangles Calculating and applying Pythagoras theorem. Using Pythagoras theorem in 3D shapes. Finding the missing side or angle using sine, cos and tan. TERM 3 Similarity Exploring and Applying Probability Finding the scale factor for two similar shapes. Working out the lengths of sides, areas and volumes of similar shapes Calculating experimental and theoretical probabilities. Recognising mutually exclusive, exhaustive and complementary outcomes. Calculations from two-way-tables and Venn diagrams. Exam -3 papers-1 (Non calculator) and 2 (Calculator) Problem solving task Powers and Standard Form Calculations using powers and standard form.
5 Equations and Inequalities Forming linear equations. Solving linear equations and inequalities. Drawing linear inequality regions. Accuracy, Powers and Surds Calculating reciprocals and converting fractions into decimals and vice versa. Estimating powers and roots of positive numbers. Calculating with negative and fractional powers and surds. Calculating error intervals and limits of accuracy. Quadratic Equations Drawing quadratic graphs. Solving quadratic equations by factorisation, quadratic formula and completing the square. Solving simultaneous equations, one linear and one non-linear. Solving quadratic inequalities. Statistics Collecting data Drawing and interpreting frequency polygons, cumulative frequency graphs, box plots and histograms
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