Section outline

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    Watch the video on how to calculate angles 

    Week 6 Term 3


    Achievement Objectives

    GM5-10 Apply trigonometric ratios and Pythagoras’ theorem in two dimensions.

    GM6-6 Use trigonometric ratios and Pythagoras’ theorem in two and three dimensions.

    GM5-7 Construct and describe simple loci.

    Learning intention:

    How can explore Pythagoras and  Trigonometry to help in our science experiments 

    SOLO level

    One

    Many

    Relate

    Extend

    SOLO verbs

    Name, identify, tell, recall, classify, do a simple procedure, list, find, name, locate, retrieve, recognise, record, select, draw

    Describe, enumerate, combine, do algorithms, rank, prioritise, rephrase/restate/rewrite, paraphrase, summarise, outline, recite, memorise, match, give/provide examples, illustrate, express

    Compare/contrast, explain, causes, effects, integrate, analyse, relate, apply, interpret, infer, discuss, use, draw, solve, calculate, organise, categorise, deconstruct, estimate, predict, modify, examine, conclude

    Evaluate, theorise, generalise, hypothesise, reflect, generate, design, build, construct, plan, produce, devise, invent, judge, test, critique, defend, criticise, examine, dramatise, compose, develop, justify

    Success Criteria

    Find Hypotenuse

    find shorter side 

    use Pythagorean triads

    use Similarity and Scale Factor

    locate similar figures and triangles

    name and label sides of a right angle triangle  

    identify sides 

    use composite shapes to calculate sides of a right angle

    memorise SIne, cos, tan ratios 

    Build your own   

    solve trig problems to find a side, angle 

    discuss trig ratios in a practical problem 

    make a clinometer to measure the angle 

    find the angle of elevation and angle of depression 

    use real-life problems for calculating angles and give solutions.

    Activities :

    1. Identify sides in a right angle triangle 

    2. Calculate sides using trig ratios