L3calcteach

TGHS Maths

Level 3 Calculus: Teachers' page

AS91575 Apply trigonometric methods in solving problems
Internal 4 credits

Trig

	Resources	Time Scale (approx.)
Radians and Circular Measure	Th: p455 Ex. 33.01 Q1-4 (conversions) Th: p458 Ex. 33.02 Q4, 6, 9 (arc length) Th: p463 Ex. 33.04 Q1-3 (area of sector) Th: p464 Ex. 33.05 Q1-3 (applications) Th: p467 Ex. 33.06 Q1-3 (area of segment) Th: p468 Ex. 33.08 Q1 (application)	2 lessons

Practice Assessment	Ferris Wheels
Real Assessment	Predator-Prey

Text book ref.: Theta edition 2 ('sky tower')

AS91573 Apply the geometry of conic sections in solving problems

	Resources	Time Scale (approx.)
Introduction to Conics It would be good to find a decent video, or model of the cone.	Desmos activity: Conics Bundle	4 lessons
Circle Most of the notes are provided. Students should be shown (and be expected to derive) the gradient of a circle at a point, by differentiating the parametric equation.	Notes: The circle DM: Exercise 1.02 p. 8 and 1.03 p. 10	2 lessons
Ellipse	Notes: The ellipse DM: Exercise 1.04 p. 15 Video: Elliptical Snooker Table	2 lessons
Hyperbola A video of hyperbolic paths (eg comets) would be useful.	Notes: The hyperbola DM: Exercise 1.05 p. 20	1 lesson
Parabola A video of parabolic reflectors would be useful.	Notes: The parabola DM: Exercise 1.06 p. 27	2 lessons
Applications	DM: Ex. 1.07 p. 29-32	3 lessons
Review forming curves Two graph files to practice defining curves and domains.	Graph file: Conics practice Graph file: Conics practice (2) Save the files as text files, and open in Graph	2 lessons
Practice assessment	Practice assessment: Speed bumps	1 lesson
Real assessment Open book.	Real assessment: Millennium Dome	2 lessons
Reassessment		Total: 19 lessons (about 4 weeks)

AS 91576 Use Critical Path Alanlysis in Solving Problems

Critical Path Analysis

	Resources	Time Scale (approx.)
Lesson 1: Introduction to CPA, and PERT diagrams	Teacher notes: Lesson 1 Slides: Lesson 1 DM p. 153-155 EX. 9.01 DM p. 157 Ex. 9.02	2 lessons
Lesson 2: Introduction to scheduling, and Gantt Diagrams	Teacher notes: Lesson 2 Slides: Lesson 2 DM p. 161-162 Ex. 9.03	2 lessons
Lesson 3: Efficient Scheduling. Critical Time Method	Teacher notes: Lesson 3 Slides: Lesson 3 DM p. 161-162 Ex. 9.03
Preparation for Practice
Practice Assessment	Practice
Real Assessment	Real
	Total:

Text Book Reference:

DM =Delta Mathematics

Templates: Assorted artwork for Directed Graph and PERT diagrams

AS 91578 Apply differentiation methods in solving problems