1.1.3 Examine examples of direct proportion and linearly related variables 1.1.4 Recognise features of the graph of 𝑦 = 𝑚𝑥 + 𝑐, including its linear nature, its intercepts and its slope or gradient 1.1.5 Determine the equation of a straight line given sufficient information; including parallel and perpendicular lines 1.1.6 Solve linear equations, including those with algebraic fractions and variables on both sides Revision for Test 2 Cosine and sine rules: 1.2.1 Review sine, cosine and tangent as ratios of side lengths in right-angled triangles 1.2.2 Understand the unit circle definition of cos𝜃, sin𝜃and tan𝜃 and periodicity using degrees TEST 2 – (W3) Trigonometric Rules, 1.2.3 Examine the relationship between the angle of inclination of a line and the gradient of that line Week 3 Circular Measure and 1.2.4 Establish and use the sine and cosine rules, including consideration of the ambiguous case, and the formula Radian Measure (5%) 𝐴𝑟𝑒𝑎=0.5𝑏𝑐sin𝐴 for the area of a triangle Circular measure and radian measure: 1.2.5 Define and use radian measure and understand its relationship with degree measure 1.2.6 Calculate lengths of arcs and areas of sectors and segments in circles Review of quadratic relationships: Sadler Chapter 5 Ex 5A, B, C, D, E, Misc Miscellaneous Test 1 – 1.1.7 Examine examples of quadratically related variables Week 4 (W4) Chapters 1-5 Nelson 1.07 – 1.09 𝑦 𝑥2, 𝑦 𝑎(𝑥−𝑏)2 𝑐, 𝑦 𝑎(𝑥−𝑏)(𝑥−𝑐), 1.1.8 Recognise features of the graphs of = = + and = including their parabolic (2.5%) nature, turning points, axes of symmetry and intercepts 1.1.9 Solve quadratic equations, including the use of the quadratic formula and completing the square Sadler Chapter 6 Ex 6A, B, Misc Week 5 1.1.10 Determine the equation of a quadratic given sufficient information Nelson 1.07 – 1.09 1.1.11 Determine turning points and zeros of quadratics and understand the role of the discriminant
1.1.3 Examine examples of direct proportion and linearly related variables 1.1.4 Recognise features of the graph of 𝑦 = 𝑚𝑥 + 𝑐, including its linear nature, its intercepts and its slope or gradient 1.1.5 Determine the equation of a straight line given sufficient information; including parallel and perpendicular lines 1.1.6 Solve linear equations, including those with algebraic fractions and variables on both sides Week 3 Revision for Test 2 Cosine and sine rules: 1.2.1 Review sine, cosine and tangent as ratios of side lengths in right-angled triangles 1.2.2 Understand the unit circle definition of cos𝜃, sin𝜃and tan𝜃 and periodicity using degrees 1.2.3 Examine the relationship between the angle of inclination of a line and the gradient of that line 1.2.4 Establish and use the sine and cosine rules, including consideration of the ambiguous case, and the formula 𝐴𝑟𝑒𝑎=0.5𝑏𝑐sin𝐴 for the area of a triangle Circular measure and radian measure: 1.2.5 Define and use radian measure and understand its relationship with degree measure 1.2.6 Calculate lengths of arcs and areas of sectors and segments in circles TEST 2 – (W3) Trigonometric Rules, Circular Measure and Radian Measure (5%) Week 4 Review of quadratic relationships: 1.1.7 Examine examples of quadratically related variables 1.1.8 Recognise features of the graphs of 𝑦 = 𝑥2, 𝑦 = 𝑎(𝑥−𝑏)2 + 𝑐, and 𝑦 = 𝑎(𝑥−𝑏)(𝑥−𝑐), including their parabolic nature, turning points, axes of symmetry and intercepts Sadler Chapter 5 Ex 5A, B, C, D, E, Misc Nelson 1.07 – 1.09 Miscellaneous Test 1 – (W4) Chapters 1-5 (2.5%) Week 5 1.1.9 Solve quadratic equations, including the use of the quadratic formula and completing the square 1.1.10 Determine the equation of a quadratic given sufficient information 1.1.11 Determine turning points and zeros of quadratics and understand the role of the discriminant Sadler Chapter 6 Ex 6A, B, Misc Nelson 1.07 – 1.09