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### Trigonometry

 DAY TOPIC NOTES NOVEMBER TRIGONOMETRY

 LEARNING OUTCOME WORK RESOURCES PythagorasDISCOVER THE RULETRIPLETSIS IT A RIGHT-ANGLED TRIANGLE?WORKING LONGEST SIDEWORKING LEGAPPLICATIONS DISCOVER RULETRIPLETSIS IT A RIGH-ANGLED?PYTHAGORAS ANIMATIONPYTHAGORAS PROVEWORKING HYPOTENUSEWORKING LEGPYTHAGORAS APPLICATIONS Similar shapesIDENTIFYING SIMILAR TRIANGLESWORKING MISSING LENGTHS Similar triangles TrigonometryUSING THE TANGENT RATIOWATER ROCKET EXPERIMENTUSING OTHER RATIOSWORKING MISSING ANGLESAPPLICATIONS WHY TRIGONOMETRY? (BRILLIANT!)WHY TRIG (35 MINUTES)SIMILAR TRIANGLES AND TRIGONOMETRYAPPLICATIONS OUTSIDE CLASSROOM

 LESSON RESOURCES Constructing an equilateral triangle using a compass EQUILATERAL TRIANGLE Constructing a parallelogram using your compass PARALLELOGRAMS Drawing a perpendicular line segment through a given point PERPENDICULAR LINE SEGMENT Constructing a triangle using a compass given the 3 sides SSS triangle Constructing a triangle given 2 sides and 1 angles SAS triangle Constructing a triangle given a angles and 1 side ASA triangle Constructing regular pentagon using a compass REGULAR PENTAGON Drawing a perfect star STAR Locus of points equidistant from one point CIRCLE Locus of points equidistant from two intersecting lines BISECTOR Locus problems in real life APPLICATIONS OF LOCI IN THE REAL WORLD(GREAT VIDEO!) Finding the centre of a circle USE COMPASS TO FIND CENTRE SAMPLES OF 1.8A REVISION NUMBERS SINCOS 2007, 2010 REVISION ALGEBRA SINCOS 2007, 2010 REVISION GRAPHS SINCOS 2007, 2010 REVISION MEASUREMENTS SINCOS 2007, 2010 1.8

This achievement standard involves applying knowledge of geometric representations in solving problems.

Achievement Criteria for AS91033(1.8)
 Achieve Merit Excellence Apply knowledge of geometric representations in solving problems. Apply knowledge of geometric representations, using relational thinking, in solving problems. Apply knowledge of geometric representations, using extended abstract thinking, in solving problems

 Lesson Activity Resources -To draw a 3D solid using isometric line paper-To draw a 3D solid using isometric dotted paper-To work out the surface area of your 3D solid-To apply this in a context BOOKLET ISOMETRIC DOTED PAPER -To use a compass to bisect an angle-To use a compass to bisect a segment line -To use a compass to draw an equilateral triangle-To use a compass to draw an isosceles triangle-To draw a SSS, SAS, ASA triangle -To use a compass to draw locus of a point