# Parallelograms

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Philosophy of Mathematics |

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## Concept Map

## Textbook

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## Additional Information

### Resources

#### Resource Title

### Useful websites

This is a good website to introduce parallelograms.

### Reference Books

## Teaching Outlines

## Concept # 1. Introduction to parallelograms

### Learning objectives

- A 4-sided flat shape with straight sides where opposite sides are parallel.
- Also opposite sides are equal in length, and opposite angles are equal.
- Squares, Rectangles and Rhombuses are all Parallelograms.
- Properties of a parallelogram are :

a. Opposite sides parallel

b. Opposite sides equal

c. Diagonals bisect each other

d. Opposite angles congruent

e. Consecutive angles supplementary.

### Notes for teachers

### Activity No # 1. Introducing parallelograms

- Estimated Time : 40 minutes.
- Materials/ Resources needed:

Laptop, geogebra file, projector and a pointer.

- Prerequisites/Instructions, if any:

- Knowledge of parallel lines, diagnols and angles.
- Basic figures like square, rectangle and rhombus.

- Multimedia resources: Laptop
- Website interactives/ links/ / Geogebra Applets
- Process:

- The teacher can use this geogebra file to introduce parallelograms to students.
- She can move the vertices A or B or c and observe different parallelograms formed like square, rectangle and rhombus.
- Bring their attention to measures of sides, angles and diagnols.

- Developmental Questions:

- Can you identify the figure ?
- How many sides does this figure have ?
- What do we call a figure with 4 sides ?
- Are all 4 sides equal ?
- What are parallel lines ?
- Identify the 2 sets of parallel lines.
- Spell out the differences between the figures formed with respect to sides, angles and diagnols.
- What common features do you observe in all figures/shapes formed ?

- Evaluation:

- What are parallelograms ?
- Are square, rectangle and rhombus parallelograms ?
- How many pairs of parallel lines does a parallelogram have ?

- Question Corner:

- Are all parallelograms quadrilaterals ?
- Is kite a parallelogram ?

### Activity No #

- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner

## Concept # 2. Construction of parallelograms

### Learning objectives

### Notes for teachers

### Activity No #

- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner

### Activity No #

- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
- Multimedia resources
- Website interactives/ links/ / Geogebra Applets
- Process/ Developmental Questions
- Evaluation
- Question Corner

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