Expressions and Identities Use letter to represent Simplifying expressions by numbers. expanding brackets. Form simple algebraic Factorising expressions. expressions. Substitute numbers into Multiply expressions. expressions and formulae. Simplifying by collecting like Expand the product of two terms. linear brackets. Index Notation Graphs Plot and interpret graphs of of year 10 work. simple linear functions arising Be able to plot points in all four from real life situations. quadrants. Distance/time graphs. Use above to generate points Express simple functions in and plot graphs of linear words. functions. Express simple functions Find the inverse of a linear algebraically. function. Plot graphs of simple linear functions, choosing a value for y to find x. Equations and Inequalities Construct and solve linear of solving basic linear equations (unknowns on one equations. side). Solve problems involving direct Use graphs to solve linear proportion. equations. Trial and improvement. Construct and solve linear Basic Inequalities. equations (Unknowns on one or both sides, brackets or no brackets where appropriate).
Sequences Patterns in number. Describe linear sequences by describing a rule. Generate sequences from patterns. Describe an nth term of a sequence. Processing data Mean, mode and median Mean, mode, median and range Frequency diagrams, including of discrete data. grouped data. Know which average to use for Bar charts, including grouped certain situations. data. Frequency tables, including Line graphs. grouped data. Stem and leaf diagrams. Be able to construct frequency Be able to make statements polygons from frequency tables. regarding the diagrams. Scatter Graphs. Collecting data Surveys. Design a questionnaire. Gather data from secondary sources.
Probability Relevant vocab and terminology. Probability scale. Simple probabilities. Probability of events NOT happening. Addition Rule. Experimental and theoretical probabilities. Combined Events. Two-Way Tables. Lines, angles, polygons Identify parallel and perpendicular lines. Missing angles in lines, triangles Know angle sums in triangles, and 4, 5, 6-sided shapes. straight lines and in a point. Circles and their parts. Know proofs of these. Recognise vertically opposite angles. Know and use angle, side and symmetry properties. Use these ideas to explore geometrical problems. Identify alternate and corresponding angles.
2D and 3D shapes Perimeters of composite of perimeter and area. shapes. Lines of symmetry. Areas of irregular shapes. Rotational symmetry. Areas of compound shapes. Planes of symmetry. Reading Scales. Using an Isometric Grid Scale Drawing. Nets. Transformations Co-ordinates in all four of year 10 work. quadrants. Enlargement; including Scale drawings. notation, centre of Recognise 2-D symmetry. enlargement, scale factor, etc. Tessellation. Midpoints of line segments. Reflect in mirror lines. Identify reflection symmetry of Rotate about a point. 3-D shapes. Translate a point/shape. Congruency. Understand and use relevant notation relating to ref/rot/tra
Areas and Volumes Choose units of measurement. for answers. Volume and surface area of Convert basic metric units. cuboids and compound shapes Perimeter and Area of made from cuboids. rectangle. Convert between units of area Area and perimeter of and volume e.g. m 2 to mm 2, etc. compound shapes made from Circumference and area of rectangles. circles. Surface area of cubes and Surface area and volumes of cuboids. prisms. Area of triangle, parallelogram and trapezium. Pythagoras Pythagoras Theorem, including: o Length of hypotenuse. o Length of adjacent. o Solving Problems involving Pythagoras. Constructions and Loci Measure and draw lines. Simple nets. Constructing Triangles. Bisectors/perpendiculars. Loci.
Multiples, Factors, Routes Negative numbers. Multiples/Factors/Primes. LCM and HCF. Prime factor decomposition. Square and triangle numbers. Add, subtract, multiply, divide. Index Notation Mental Calculation methods Multiply and divide 2 or 3 digit Extend mental methods for numbers together. working with FDP, factors, Use efficient methods to add powers and roots. Know when and subtract whole numbers. to select certain methods. Carry out calculations involving Use a calculator efficiently e.g. more than one step using powers, pi, roots, fractions. brackets. Examine and refine estimates and approximations of calculations involving rounding. FDP Percentage work (percentage of a number, percentage change, a number as a percentage of another, etc). Understand equivalence of fractions/decimals/percentages. Decimals (4 operations). Perform operations involving fractions. Use simple denominators e.g 2, 4, 8 etc.
Place value, ordering and rounding Decimal notation and place value. Multiply and divide by 10, 100 and 1000. Extend to powers of 10 if appropriate. Rounding to nearest 10, 100, 1000. Multiply and divide by 0.1 and 0.01. Estimation. Ratio and Proportion Ratio simplifying, using and. comparing. Proportion. Inverse operations and understanding the idea of multiplying by numbers between 0 and 1.