Find the reciprocal of an integer, decimal or fraction 4.2 Ratios 3 Write ratios in the form 1:n / n:1 Simplify ratios Compare ratios Find quantities using ratios Solve problems involving 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 Find percentage of a decrease without a calculator given amount Percentage increase and decrease with the multiplier Solve real-life problems involving percentages 4.5 Fractions, decimals 2 Convert between fractions, and percentages decimals and percentages Angles and 16 trigonometry 5.1 properties of 1 Sum of angles in triangles & angle facts (sum of triangles & quadrilaterals quadrilaterals angles on a line/around Sumof angles in a point) isosceles/equilateral triangles 5.3 Exterior angles of a 2 Sum of exterior angles of a Understand “regular polygon polygon polygon” Find an exterior angle of a regular Substitute numbers polygon Use exterior angle of a regular polygon to find number of sides 5.2 Interior angles of a 3 Calculate an interior angle of a Substitute numbers polygon regular polygon Find missing angles in Calculate sum of interior angles triangles, quads & at a of a polygon point. Use interior angles to solve problems 5.4 Pythagoras’ Theorem 4 Calculate length of the Squaring numbers and 5.5 hypotenuse. square rooting. Calculate length of a shorter side Solve problems (included worded) using Pythagoras 5.6 Trigonemtry 6 Use trig ratios to find lengths in Identify hypotenuse 5.7 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
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
Year-9-Scheme-of-Work-Sets-1-2.docx