Year 9 Higher – Sets 1 & 2 Autumn – highlighted in yellow are difficult topics (possibly only set 1 to learn) Unit Lessons Objectives Prior Knowledge Number 30 1.1 Number problems and reasoning 2 Find total number of combinations. 1.2 Place value and estimating 4 value problems. Estimating the value of a square root. Estimate an answer. Rounding numbers to dp & sf. 1.3 HCF & LCM 4 Product of prime factors. Find the HCF & LCM of two numbers. Find HCF & LCM using Venn diagrams. Prime numbers Factors/Multiples 1.4 Calculating with powers (indices) 4 Multiply & Divide index laws Brackets Index Laws Powers and square/cube roots 1.5 Zero, negative & fractional indices 6 Zero Index Laws Negative index laws Fractional index laws Fractional & Negative index laws 1.6 Powers of 10 and standard form 4 Convert between Standard form and Ordinary numbers Multiply/Divide in Standard Form Add/Subtract in Standard Form Multiply/divide by powers of 10 1.7 Surds 6 Rational/Irrational numbers Simplify a Surd Combine surds (including double brackets) Rationalise a denominator Square numbers Algebra 30 2.1 Algebraic Indices 2 Simplify algebraic expressions using index laws Index law rules 2.2 Expanding and Factorising 4 Expand single brackets Expand two single brackets Factorise single brackets HCF 2.3 Equations 4 Solve equations with brackets & fractions worded equations Solve 1 and 2 step equations 2.4 Formulae 4 Define expressions, equations formulae and identities Substitute numbers into a formulae Rearrange a formulae Bidmas 2.5 Linear sequences 4 Find nth term Determine whether a term is in a sequence Find next term in a sequence. Write terms in a sequence given the nth term.
Find the reciprocal of an integer, decimal or fraction 4.2 Ratios 3 Write ratios in the form 1:n / n:1 Compare ratios Find quantities using ratios Solve problems involving ratios. Simplify ratios 4.3 Ratio and proportion 3 Convert between currencies / measures Use direct proportion problems involving ratios & proportion 4.4 Percentages 4 Percentage increase and decrease without a calculator Percentage increase and decrease with the multiplier Solve real-life problems involving percentages Find percentage of a given amount 4.5 Fractions, decimals and percentages 2 Convert between fractions, decimals and percentages Angles and trigonometry 16 5.1 properties of triangles & quadrilaterals 1 Sum of angles in triangles & quadrilaterals Sumof angles in isosceles/equilateral triangles angle facts (sum of angles on a line/around a point) 5.3 Exterior angles of a polygon 2 Sum of exterior angles of a polygon Find an exterior angle of a regular polygon Use exterior angle of a regular polygon to find number of sides Understand “regular polygon” Substitute numbers 5.2 Interior angles of a polygon 3 Calculate an interior angle of a regular polygon Calculate sum of interior angles of a polygon Use interior angles to solve problems Substitute numbers Find missing angles in triangles, quads & at a point. 5.4 Pythagoras’ Theorem 5.5 4 Calculate length of the hypotenuse. Calculate length of a shorter side Solve problems (included worded) using Pythagoras Squaring numbers and square rooting. 5.6 Trigonemtry 5.7 6 Use trig ratios to find lengths in right angled triangles (SOHCAHTOA) Use trig ratios to find angles in angled triangles (SOHCAHTOA) Angles of elevation/depression Know exact values of sine, cosine and tangent of some angles Identify hypotenuse
Area and volume 14 7.1 Perimeter and area 3 Find perimeter and area of compound shapes Area of a trapezium Area and perimeter of rectangles, triangles and parallelograms. 7.2 Units and accuracy 2 Convert between metric units of area Calculate maximum and minimum possible values of a measurement 7.3 Prisms 1 Calculate the volume and surface areas of prisms Volume & SA of cuboids 7.4 Circles 2 Calculate area and circumference of a circle Calculate area and circumference of a circle in terms of Pi. Radius/diameter 7.5 Sectors of circles 2 Perimeter and area of semicircles and quarter circles Calculate arc lengths and of sectors Area/circumference of circles 7.6 Cylinders and spheres 2 Calculate volume and surface area of cylinders Calculate volume and surface area of spheres 7.7 Pyramids and cones 2 Calculate volume and surface area of pyramids Calculate volume and surface area of cones and constructions 20 8.1 3D solid 2 Plans and elevations of 3D solids 8.2 Reflection and rotation 3 Reflect a shape in a mirror line Rotate a shape about a centre of rotation Describe reflections & rotations 8.3 Enlargement 3 Enlarge shapes with a centre of enlargement Enlarge shapes by a fractional scale actor Enlarge shapes by a negative scale factor Describe enlargements 8.4 Translations & combinations of transformations 2 Translate a shape using a vector Describe translations Combination of transformations 8.5 Bearings and scale drawings 3 Draw and use scales on maps and scale drawings Measure and draw bearings Solve problems involving bearings