The 9-Pin Geoboard
Introduction
Take a look at this activity on transum. How many quadrilaterals can you make?
You may wish to do this on dotty paper (PRINT ME) or this pin board (you can change the grid size by clicking on the cog wheel on the right).
How do you know you have all of them?
Can you name all these quadrilaterals?
What properties do these quadrilaterals have?
How do you show these properties in a mathematical way?
How would find the areas and perimeters of these quadrilaterals?
Try this similar task on transum for an idea.
You may wish to check that your perimeter and area on geogebra.
How many line and rotational symmetries do each shape have?
Organise these in your answers in a table. If you need to, use this template.
For more general properties of quadrilaterals, try this matching activity (PRINT ME or do it on Desmos).
Further Questions and Challenges
Take a look at this activity on transum. How many polygons with an area of 4 square units can you make?
You may wish to do this on dotty paper (PRINT ME) or here.
You may wish to check that your answers are right on geogebra.
How do you know you have all of them?
Optional questions:
Can you name all these polygons?
What properties do these polygons have?
How do you show these properties in a mathematical way?
Challenging - can you find the interior angles of these polygons?
Try the following questions (PRINT ME):
Quadrilateral Area Problems.pdfFurther Practice
Some of the essential skills introduced in this lesson are classifying and labelling quadrilaterals, finding the perimeters and areas of quadrilaterals. While we did not touch upon this in class, you may also wish to finding angles in quadrilaterals. Practise these relevant skills on DrFrostMaths, CorbettMaths, MyiMaths and Eedi.
Transum
Area and Perimeter of a Rectangle - try this self-marked exercise. There are altogether 2 levels plus an investigation at the end.
Area of a Triangle - try this self-marked exercise. There are altogether 3 levels.
Area of a Trapezium - try this self-marked exercise. There are altogether 2 levels.
Area and Perimeter of a Parallelogram - try this self-marked exercise. There are altogether 6 levels.
Kite Maths Exercise - try this self-marked exercise.
Areas of Composite Shapes - try this self-marked exercise. There are altogether 5 levels.
Area and Perimeter - try this self-marked exercise. Name the shapes then find formulas to calculate the area and perimeters from the given lengths.
For more goodies on area on transum, click on the hyperlink.
To consolidate your understanding of properties of the quadrilaterals, you may want to try this matching activity (PRINT ME) or do it on Desmos.
For more textbook practice, see below:
Quadrilaterals Problems.pdfExtension
Which quadrilateral am I? - can you tell which quadrilateral is each drawing? Justify your answers!
Don Steward
There are so many good ideas on Don Steward's blog on quadrilaterals, angles in quadrilaterals and coordinates quadrilaterals. Below are a selection of activities:
Dotty Grids - these activities are very similar to the ones in today's lesson.
Corner Coordinates - can you work out what the corner coordinates are?
Parallel Lines - are the lines parallel or not? How can you tell?
Finally, take a look at these super important questions:
