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Basic
Skills
180Â kB

Time 
Year 
Â 
Basic skills for using Maths
Helper Plus. An excellent introduction for your classes. 
30 min 
8+ 

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Angle
relationships, Congruency, Pythagoras
682
kBÂ Product code: #M2B

Time 
Year 
Angle Relationships

Â 
Â 
Â 
Activity 1Â Â 

Sum of interior angles = 180º

Exterior angle = sum of interior opposite angles 
35 min 
8+ 
Activity 2Â Â 

Sides opposite congruent angles are congruent

Angles opposite congruent sides are congruent

Sides and angles in equilateral triangles 
30 min 
8+ 
CongruencyÂ Â

Â 
Â 
Â 
Activity 3Â Â


Naming corresponding angles and sides in congruent triangles.

Statements of congruency 
25 min 
9+ 
Activity 4Â Â 

Demonstrating the failure of AAA and ASS to guarantee congruency.

Establishing that RHS guarantees congruency. 
40 min 
9+ 
Activity 5Â Â 

Interpreting triangle diagrams to establish congruency relationships. 
40 min 
9+ 
Activity 6Â Â 

Interpreting triangle diagrams to establish congruency relationships.

Applying congruency rules. 
40 min 
9+ 
Pythagoras

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Â 
Â 
Activity 7Â Â 

Demonstrating Pythagoras’ Theorem

Pythagorean triples 
40 min 
9+ 
Activity 8Â Â 

Using Pythagoras’ Theorem to solve for an unknown hypotenuse or leg of a
right triangle. 
40 min 
10+ 
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Tangent
ratio (right triangles)
455
kBÂ Product code: #M2C

Time 
Year 
Tangent Ratio
(Right Triangles)

Â 
Â 
Â 
Activity 9Â Â 

Defining the terms: ‘opposite’ and ‘adjacent’.

Defining the tangent ratio.

Demonstrating that the tangent ratio depends only on the angle, not the
size of the triangle 
35 min 
9+ 
Activity 10Â Â 

Making a table of tangent ratios for common angles.

Using known tangent ratios to solve for unknown angles in right triangles. 
40 min 
9+ 
Activity 11Â Â 

Using known tangent ratios to solve for unknownÂ
opposite or adjacent sides in right triangles. 
40 min 
10+ 
Activity 12Â Â 

Explanation of angles of elevation and depression.

Solving word problems involving angles of elevation and depression. 
40 min 
10+ 
Â 



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Sine
ratio, Cosine ratio, Similar trianlges
622
kBÂ Product code: #M2D

Time 
Year 
Sine

Â 
Â 
Â 
Activity
13Â Â 

Defining the sine ratio.

Identifying the opposite side and the hypotenuse in right angled
triangles.

Calculating sine ratios from triangle diagrams.

Establishing that the sine ratio does not depend on the size of a
triangle. 
40 min 
9+ 
Activity
14Â Â 

Making a table of sine ratios for
common angles.

Using known sine ratios to solve for unknown opposite angles in right
triangles.

Using known sine ratios to solve for unknownÂ sides in right
triangles. ( Both opposite and hypotenuse. ) 
40 min 
9+ 
Activity
15Â Â 

Using known sine ratios to solve for unknownÂ legs in right
triangles.

Using known sine ratios to solve for an unknown hypotenuse in a right
triangle. 
40 min 
10+ 
Cosine

Â 
Â 
Â 
Activity
16Â Â 

Defining the cosine ratio.

Identifying the adjacent side and the hypotenuse in right angled
triangles.

Calculating cosine ratios from triangle diagrams.

Establishing that the cosine ratio does not depend on the size of a
triangle. 
40
min 
9+ 
Activity
17Â Â 

Making a table of cosine ratios for common angles.

Using known cosine ratios to solve for unknown adjacent angles in right
triangles. 
40
min 
9+ 
Activity
18Â Â 

Using known cosine ratios to solve for unknownÂ legs in right
triangles.

Using known cosine ratios to solve for an unknown hypotenuse in a right
triangle. 
40
min 
10+ 
Similar Triangles

Â 
Â 
Â 
Activity
19Â Â 

Defining ‘similar’Â triangles.

Locating corresponding angles and sides.

Calculating scale factors.

Experimenting with scale factors and triangle shape for pairs of similar
triangles. 
40
min 
9+ 
Activity
20Â Â 

Finding unknown corresponding angles in similar triangles.

Finding unknown corresponding sides in similar triangles. 
40
min 
10+ 
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General
triangle solution
509
kBÂ Product code: #M2E

Time 
Year 
General Triangle Solution

Â 
Â 
Â 
Activity
21Â Â 
(
Type 1, Given three sides. )

Procedure outlined in detail.

Six practice problems. Use Maths Helper Plus to generate solution and to
correct the working. 
50
min 
11+ 
Activity
22Â Â 
(
Type 2, Given two sides and included angle. )

Procedure outlined in detail.

Six practice problems. Use Maths Helper Plus to generate solution and to
correct the working. 
50
min 
11+ 
Activity
23Â Â 
(
Type 3, Given two sides and nonincluded angle.)

Demonstrate the ambiguous case.

Procedure outlined in detail.

Three practice problems. Use Maths Helper Plus to generate solution and to
correct the working. 
50
min 
11+ 
Activity
24Â Â
Â 
(
Type 4, Given two angles and one side.)

Procedure outlined in detail.

Six practice problems. Use Maths Helper Plus to generate solution and to
correct the working. 
50
min 
11+ 
Activity
25Â Â 
(
Type 5, Given three (x,y) points. )

Procedure outlined in detail.

Six practice problems. Construct and solve triangles. Use Maths Helper
Plus to generate solution and to correct the working. 
50
min 
11+ 