Y12 AS Mathematics Trigonometry 2 weeks Teaching objectives a To review knowledge of trigonometry from GCSE. d To understand use the identities tanx=sinx/cosx and b To ensure students understand and have efficient routines for sin^2x+cos^2x=1, including using them to help solve trigonometric finding missing sides and angles in right angled triangles and can equations. apply them in problem solving situations. e To ensure students understand and have efficient routines for c To understand, sketch and use the graphs of the sine, cosine and finding missing sides and angles in right angled and non-right tangent functions as well as transformations of these. angled triangles. d To solve simple trigonometric equations, finding all the solutions in f To understand and know efficient routines for finding the area of a a given range (including quadratic equations in sin, cos tan and triangle (with or without the perpendicular height). equations involving multiples of the unknown angle) g To gain fluency and develop problem solving skills in the context of trigonometry Notes: Lesson 1 could be done entirely via starters and HW Lessons 3,4,5 could be squeezed into two lessons if time is tight A strong group with good recall from GCSE could do lessons 7 & 8 in one Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models Including Support and Including key questions and and resources Extension homework 1 Students to produce SOHCAHTOA problem solving questions. Extension Qs: mind map or similar detailing all their Eg. By drawing an equilateral triangle find the exact MEI C4 paper June 2016 Q5 Students share solutions remembered values of sin30, cos30 and tan30 and for 60. (in part 1 change sec^3(θ)=2 knowledge of By drawing a right angled triangle find the exact values to cos^3(θ)=1/2) Homework: Routine trigonometry. Share in of sin45, cos45, tan45 pairs/ groups, bring SOHCAHTOA practice from old together key points as resources a class. To be included: formulae, diagrams, graphs. This will be revisited at the end of the unit.
Y12 AS Mathematics Trigonometry 2 weeks Teaching objectives a To review knowledge of trigonometry from GCSE. b To ensure students understand and have efficient routines for finding missing sides and angles in right angled triangles and can apply them in problem solving situations. c To understand, sketch and use the graphs of the sine, cosine and tangent functions as well as transformations of these. d To solve simple trigonometric equations, finding all the solutions in a given range (including quadratic equations in sin, cos tan and equations involving multiples of the unknown angle) d To understand use the identities tanx=sinx/cosx and sin^2x+cos^2x=1, including using them to help solve trigonometric equations. e To ensure students understand and have efficient routines for finding missing sides and angles in right angled and non-right angled triangles. f To understand and know efficient routines for finding the area of a triangle (with or without the perpendicular height). g To gain fluency and develop problem solving skills in the context of trigonometry Notes: Lesson 1 could be done entirely via starters and HW Lessons 3,4,5 could be squeezed into two lessons if time is tight A strong group with good recall from GCSE could do lessons 7 & 8 in one Starter Main teaching Including key questions, key teaching points, models and resources Notes Including Support and Extension Consolidation/Plenary Including key questions and homework 1 Students to produce mind map or similar detailing all their remembered knowledge of trigonometry. Share in pairs/ groups, bring together key points as a class. To be included: formulae, diagrams, graphs. This will be revisited at the end of the unit. SOHCAHTOA problem solving questions. Eg. By drawing an equilateral triangle find the exact values of sin30, cos30 and tan30 and for 60. By drawing a right angled triangle find the exact values of sin45, cos45, tan45 Extension Qs: MEI C4 paper June 2016 Q5 (in part 1 change sec^3(θ)=2 to cos^3(θ)=1/2) Students share solutions Homework: Routine SOHCAHTOA practice from old resources
06_trigonometry_as_bom_sow.docx