# Types of Angles and Shapes

**Subject** : **Mathematics**

**Mathematics**

**Class** : Basic 6 / Primary 6 /Grade 6

**Term** : Third Term / 3rd Term

**Week** : Week 6

**Topic** : Types of Angles and Shapes

**Behavioural Objectives :** At the end of the lesson, the pupils should be able to

**Explain the meaning of triangles**- Give examples of triangles
- Mention types of triangles
- Say the properties of triangles

**Previous Knowledge : Pupils have previous knowledge of Polygons and plane figure that was taught in the previous lesson**

**Instructional Materials** :

- Pictures
- Wall Posters
- Related Online Videos
- Role Playing

**Reference Materials**

- Scheme of Work
- Online Information
- Textbooks
- Workbooks
- 9 Year Basic Education Curriculum

**Content** :

**Types of Angles and Shapes**

**Quadrilaterals**

**These are 4-sided plane shapes. They are rectangles, parallelograms, squares, rhombus,**

**kite and trapezium.**

** **

**Rectangles**

**Opposite sides are equal.**

** **

**Each of the interior angle is 90°.**

**Opposite sides are parallel**

**AB // CD**

**AD // BC**

**The two diagonals are AC and BD. Is AC ****= ****BD?**

**The two lines of symmetry are MN and ST. Is MN ****= ****ST?**

** **

**Parallelograms**

**Opposite sides are equal and parallel.**

**A B**

**D C**

**None of the angles is equal to 90°**

**Is diagonal AC ****= ****BD?**

**How many lines of symmetry has parallelogram ABCD?**

** **

** **

**Squares**

**Opposite sides are equal parallel.**

**A B**

**D C**

**AB ****= ****CD ****= ****AD ****= ****BC**

**All the sides are equal.**

**Each of the interior angle is 90°.**

**Draw the lines of symmetry. How many are they?**

**Is AC ****= ****BD?**

** **

**Rhombus**

**Opposite sides are equal and parallel. ****A B**

**C D**

**AB ****= ****CD and AD ****= ****BC**

**All the sides are equal.**

**AB ****= ****CD ****= ****AD ****= ****BC**

**None of the angles is equal to 90°.**

**Draw the diagonals AC and BD.**

**Measure AC and BD.**

**Is AC ****= ****BD?**

**How many lines of symmetry does a rhombus have?**

** **

**Kite**

**Opposite sides are not equal.**

** **

** **

**How many lines of symmetry does a kite have?**

**Name them.**

**Draw the diagonals. How many are they?**

**Name the diagonals.**

**None of the interior angles is equal to 90°.**

**.**

**Trapezium**

**A pair of the opposite sides are parallel.**

**Two of the interior angles may be 90°.**

**How many lines of symmetry does a trapezium have?**

**These are two different types; see fig 1 and fig 2.**

**Draw the diagonals. How many are they?**

** **

** **

**Pentagon**

**A regular pentagon has 5 equal sides**

**and angles.**

**Here AB ****= ****BC ****= ****CD ****= ****DE ****= ****EA.**

**How many diagonals does a pentagon**

**have?**

**How many lines of symmetry does a**

**pentagon have?**

** **

** **

** **

**Hexagon**

**A regular hexagon has 6 equal sides and**

**angles.**

**How many lines of symmetry does pentagon ABCDEF have?**

** **

** **

**Heptagon**

**A regular heptagon has 7 equal sides and angles.**

** **

**Octagon**

**A regular octagon has 8 equal sides and**

**angles.**

** **

**.**

** **

**Properties of different prisms**

**Properties of a cube**

**It has 6 equal faces****. Each**** face is a square**

**It has 12 straight edges**

**All the edges are equal**

**It has 8 vertices (corners).**

** **

**Properties**** of a cuboid**

**A cuboid has 6 faces**

**Some faces are either a**

**square or a rectangle**

**It has 12 straight edges**

**It has 8 vertices (corners).**

** **

**Properties of a cylinder**

**A cylinder has 2 plane faces**

**The 2 plane faces are circular**

**It has 1 curved face**

**It has 2 curved edges.**

** **

**Properties of a triangular prism**

**Presentation**

The topic is presented step by step

Step 1:

The class teacher revises the previous topics

Step 2.

He introduces the new topic

Step 3:

The class teacher allows the pupils to give their own examples and he corrects them when the needs arise

**Evaluation** :

**Assignment** :

Prepare for the next lesson by reading about

Types of Angles and Shapes