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TERM 1 Year 7 Mathematics Angles and Two-Dimensional Shapes Simple Probability • • • • • • • • Sample spaces for single-step experiments with equally likely outcomes • Assign probabilities to the outcomes of events and determine probabilities for events • Identify complementary events and use the sum of probabilities to solve problems Basic Number Review • • • • • • Time TERM 3 Naming and labelling angles Straight angles, vertically opposite angles, angles at a point Parallel line results Classifying triangles Properties of quadrilaterals Line and rotational symmetry Angle sum of a triangle and quadrilateral Introductory Algebra Place value, expanded form Factors and multiples including HCF and LCM Negative numbers Prime, composite, square and triangular numbers Addition, subtraction, multiplication and division Estimation and order of operations • • • • • Algebraic expressions (pronumerals are used as variables) compared to equations (pronumerals are used as unknowns) Associative, commutative and distributive laws for mental and written computation Compare, order, add and subtract integers Multiply and divide integers The four operations • Solve simple linear equations using concrete materials • Solve linear equations (up to two steps) • Solve simple quadratic equations of the form Pythagoras’ Theorem TERM 2 Stage 3 revision as appropriate Equivalent fractions Adding, subtracting, multiplying, dividing fractions Multiplying and dividing decimals One quantity as a fraction of another Rounding decimals, terminating & recurring decimals Conversion of fractions, decimals and percentages Concept of irrational numbers Percentages of quantities and one quantity as a percentage of another Applications of Percentages • Percentage increase and decrease • Percentages greater than 100 • Percentage composition, unitary method Indices with Numerical Bases • • • • • Terminology, evaluating indices Divisibility tests Prime factors Square roots of perfect square numbers Index laws: ×, ÷, power-of-a-power, zero index TERM 4 Fractions, Decimals and Percentages • • • • • • • • • Variables as a way of representing numbers using letters Extend and apply the laws and properties of arithmetic to algebraic terms and expressions Simplify algebraic expressions involving the four operations Create algebraic expressions and evaluate them by substituting a given value for each variable Simple Equations Integers • • • • • Stage 3 review (12/24-hr conversions, duration, timetables, timelines) • Solve problems involving duration, including using 12-hour and 24-hour time within a single time zone • Solve problems involving international time zones • • • • • • • Define and identify the hypotenuse Establish Pythagoras’ theorem in practical ways Find the length of an unknown side in a right-angled triangle Practical problems involving Pythagoras' theorem Identify Pythagorean triads Use the converse of Pythagoras' theorem Investigate the concept of irrational numbers Length, Perimeter and Circumference • • • • • • • Perimeter of squares, rectangles, triangles and regular polygons (Stage 3 review) Perimeter of parallelograms, trapeziums, rhombuses & kites Investigate the concept of irrational numbers, including Parts of a circle: arc, tangent, chord, sector, segment C = π d and C = 2π r Perimeter of quadrants, semi-circles and composite figures Arc length and perimeter of sectors Transformations on the Number Plane • Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point • Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates