Ch.15 Scale drawings, Bearings and Trigonometry
References
Cambridge IGCSE Mathematics core and extended course book by Karen Morrison and Nick Hamshew
DT
Sub Topic(s) -
Scale Drawings
Bearings
Learning objective:
At the end of the lesson learner’s will be able to -
understand the term scaled drawing, read maps and interpret distance;
able to identify the angle of elevation and angle of depression in a right angle
interpret and calculating use three- figure bearings
draw and measure bearings and how to use the angle properties of parallel lines to calculate back bearings
Watch the following video to know the basic concept of scale drawing
Go through the following slides to understand the basic concept of scale drawing with an example.
Solve/Revise Exercise -15.1
Go through the following slide to understand the basic concept of angle of elevation and angle depression.
Solve/Revise Exercise -15.2
Watch the following video to know the basic concept of bearings
Go through the following slide to understand the basic concept of bearings with an example.
Solve/Revise Exercise -15.3
Solve all the questions from Worksheet 1 and Worksheet 2 based on Scale drawings and bearings.
WS_1_QP_Cambridge_X_Math_Scale drawings,bearings and trigonometry.pdfWS_2_QP_Cambridge_X_Math_Scale drawings,bearings and trigonometry.pdfSub Topic(s) -
Understanding the tangent, cosine and sine ratios
Solving problems using trigonometry
Learning objective:
At the end of the lesson learner’s will be able to -
calculate sine, cosine and tangent ratios for right-angled triangles.
calculate the length of sides and angles of right- angled triangles by using sine, cosine and tangent ratios.
Watch the following video to know the basic concept of trigonometric ratios - sine, cosine and tangent
Go through the following slides to understand the trigonometric ratios.
Solve/Revise Exercise -15.4 and 15.5
Go through the following slides to understand the tangent ratios.
Solve/Revise Exercise -15.6
Go through the following slides to understand the sine and cosine ratios.
Solve/Revise Exercise -15.7
Go through the following slides to understand how to solve problems using trigonometry.
Solve/Revise Exercise -15.8
Sub Topic(s) -
Angles between 90° and 180°
Sine and cosine rules
Learning objective:
At the end of the lesson learner’s will be able to -
solve trigonometric equations, finding all the solution between 0°and 360°.
use sine and cosine rule to calculate unknown sides and angles in triangles which are not right- angled.
Watch the following video to understand the sketching sin(x), cos(x) and tan(x) graphs, Solving trigonometric equations and finding all solutions between 0 and 360 and solving quadratic trig equations.
Go through the following slides to understand sines, cosines and tangents of any angles of any size.
Go through the following slide to understand examples based angles between 90° and 180°for sines, cosines and tangent.
Solve/Revise Exercise -15.9
Watch the following video based on sine rule for working out the angle or side length in a non-right angled triangle.
Go through the following slide to understand the sine rule formula and examples based on sine rule.
Watch the following video based on Ambiguous Case for Sine Law.
Solve/Revise Exercise -15.10
Go through the following slide to understand the cosine rule formula and examples based on cosine rule.
Solve/Revise Exercise -15.11
Watch the following video based on what is the cosine law and how can we use it to solve problems.
Solve all the questions from Worksheet 3 based on trigonometric ratios, sine and cosine rule.
WS_3_QP_Cambridge_X_Math_Scale drawings,bearings and trigonometry.pdfSub Topic(s) -
Area of triangle
Trigonometry in three dimensions
Learning objective:
At the end of the lesson learner’s will be able to -
understand the basic formula for determining the area of a triangle.
use that formula to find the area of any triangle.
demonstrate a clear understanding of trigonometry in three dimensions.
use trigonometry to solve three dimensional problems.
Watch the following video based on how to find the area of triangle using trigonometry.
Go through the following slides to understand how to calculate area of non-right angled traingle by using the sine rule.
Solve/Revise Exercise -15.12
Watch the following video based on how to find angle between a line and plane.
Go through the following slides to understand the basic concept of using trigonometry in three dimensions.
Solve/Revise Exercise -15.13
Solve all the questions from Worksheet 4 based on area of triangle and trigonometry in three dimensions.
WS_4_QP_Cambridge_X_Math_Scale drawings,bearings and trigonometry.pdfAT