Resources for Teaching Mathematics: 11-14

Colin Foster teaches mathematics at a secondary school in Coventry, UK.

Introduction.; 1 Decimal notation and place value.; 2 Comparing and ordering numbers and quantities.; 3 Negative numbers as positions on a number line.; 4 Multiples and factors.; 5 Highest common factor, lowest common multiple and primes.; 6 Prime factor decomposition of a number.; 7 Using fraction notation to describe parts of shapes.; 8 Equivalent fractions.; 9 Ordering fractions.; 10 Percentage as the OEnumber of parts per 1001.; 11 Equivalence of fractions, decimals and percentages. 12 Recurring decimals.; 13 Ratio and proportion.; 14 Reducing a ratio to its simplest form.; 15 Dividing a quantity into two or more parts in a given ratio.; 16 Comparing proportions; proportional change.; 17 Squares, positive and negative square roots, cubes and cube roots.; 18 Index notation for small positive integer powers, and numbers in standard form.; 19 Rounding numbers (Whole numbers to the nearest 10, 100, or 1000 decimals to the nearest whole number or to one dp).; 20 Rounding to n decimal places, significant figures, and upper and lower bounds.; 21 Order of operations including brackets.; 22 Multiplication and division facts to 10 X 10.; 23 Positive integer complements to 100.; 24 Add, subtract, multiply and divide integers.; 25 Add, subtract, multiply and divide numbers.; 26 Multiplying and dividing by numbers between 0 and 1.; 27 Adding and subtracting simple fractions.; 28 Calculate fractions of quantities.; 29 Dividing by fractions.; 30 +, -, X, / numbers raised to small positive integer powers.; 31 One number as a percentage of another.; 32 Estimating positions of numbers on a number line.; 33 Letter symbols representing unknown numbers or variables.; 34 Operating with and transforming linear expressions.; 35 Index laws.; 36 Transforming algebraic expressions.; 37 Construct and solve linear equations.; 38 Solving simultaneous linear equations.; 39 Representing and solving inequalities.; 40 Generating and describing simple integer sequences.; 41 Expression for general term of a sequence.; 42 Expressing simple functions in words and then symbols.; 43 Finding the inverse of a linear function.; 44 Graphs of linear functions.; 45 Substitute numbers into formulae and change the subject of a formula.; 46 Interpret graphs arising from real situations.; 47 Parallel and perpendicular lines.; 48 Alternate, corresponding, and vertically opposite angles.; 49 Angles on a line, at a point and in a triangle.; 50 Angle sum of triangle and quadrilateral.; 51 Exterior angle of triangle equals sum of opposite interior angles.; 52 Angle, side and symmetry properties of triangles and quadrilaterals.; 53 Interior and exterior angles of polygons.; 54 Reasoning and generalising about 2-D shapes.; 55 Coordinates in all four quadrants, length of line segment.; 56 2-D reflection in a mirror lines, and line symmetry.; 57 2-D rotation, and rotation symmetry.; 58 2-D translation.; 59 Combining 2-D transformations.; 60 Enlargement and similarity.; 61 2-D representations of 3-D shapes, plans and elevations.; 62 Estimating areas of 2-D shapes.; 63 Estimating angles.; 64 Area and perimeter of rectangles and shapes made from rectangles.; 65 Area of a triangle, parallelogram and trapezium.; 66 Volume and surface area of cuboids.; 67 Circumference and area of a circle, arcs and sectors of circles.; 68 Simple loci.; 69 Bearings.; 70 Sine, cosine and tangent.; 71 Statistics - the median.; 72 Statistics - the mean.; 73 Statistics - the range, median, mode and mean.; 74 Processing and representing data.; 75 Interpreting results.; 76 Frequency diagrams for grouped discrete data.; 77 Scatter graphs.; 78 Probabilities based on equally likely outcomes.; 79 Mutually exclusive outcomes for single and successive events.; 80 Comparing experimental and theoretical probabilities.