MHP Resource Set 2
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'Maths Helper Plus Resource Set 2' is a collection of 26 FREE trigonometry activities grouped into 8 topics. The table below lists the activities by topic. The 'time' and 'year' columns indicate the approximate completion time and the minimum school year level appropriate for each activity. These are only intended as a very rough guide.

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All of Resource Set 2

1982 kB  Product code: #M2A

 

Contains all worksheets plus index pages.  

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Basic Skills

180 kB

Time Year

 

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 kB  Product code: #M2B

Time Year

Angle Relationships

     

Activity 1  

- Sum of interior angles = 180º

- Exterior angle = sum of interior opposite angles
35 min 8+

Activity 2  

- Sides opposite congruent angles are congruent

- Angles opposite congruent sides are congruent

- Sides and angles in equilateral triangles
30 min 8+

Congruency  

     

Activity 3  

- Naming corresponding angles and sides in congruent triangles.

- Statements of congruency
25 min 9+

Activity 4  

- Demonstrating the failure of AAA and ASS to guarantee congruency.

- Establishing that RHS guarantees congruency.
40 min 9+

Activity 5  

- Interpreting triangle diagrams to establish congruency relationships. 40 min 9+

Activity 6  

- Interpreting triangle diagrams to establish congruency relationships.

- Applying congruency rules.
40 min 9+

Pythagoras

     

Activity 7  

- Demonstrating Pythagoras’ Theorem

- Pythagorean triples
40 min 9+

Activity 8  

- 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 kB  Product code: #M2C

Time Year

Tangent Ratio
(Right Triangles)

     

Activity 9  

- 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 10  

- 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 11  

- Using known tangent ratios to solve for unknown  opposite or adjacent sides in right triangles. 40 min 10+

Activity 12  

- Explanation of angles of elevation and depression.

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

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Sine ratio, Cosine ratio, Similar trianlges

622 kB  Product code: #M2D

Time Year

Sine

     
Activity 13   - 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 14   - 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 unknown  sides in right triangles. ( Both opposite and hypotenuse. )
40 min 9+
Activity 15   - Using known sine ratios to solve for unknown  legs in right triangles.

- Using known sine ratios to solve for an unknown hypotenuse in a right triangle.

40 min 10+

Cosine

     
Activity 16   - 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 17   - 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 18   - Using known cosine ratios to solve for unknown  legs in right triangles.

- Using known cosine ratios to solve for an unknown hypotenuse in a right triangle.

40 min 10+

Similar Triangles

     
Activity 19   - Defining ‘similar’  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 20   - 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 kB  Product code: #M2E

Time Year

General Triangle Solution

     
Activity 21   ( 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 22   ( 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 23   ( Type 3, Given two sides and non-included 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 24  

 

( 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 25   ( 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+