Home Page

Areas of squares & rectangles

Index Page

Learning Ladder - Video Guide       Setting up Activities - Video Guide

 

Ladder Pattern Builder Skill Check Pair Game

Hide Notes

Overview:

Perimeters and areas are often confused. You need to understand that perimeter is a distance, whereas area is the flat space inside something.

The online investigations below constantly emphasise this for area and lead children step by step in finding the area first of squares - showing the link with square numbers, then of rectangles - showing the link with factors and factor rainbows, and then of triangles.

The photocopiable investigation Perimeters and Areas of Triangles and Quadrilaterals takes children further into exploring areas of other quadrilaterals.




Step 5
Areas of Squares
Investigate!
Try Quiz
Notes for Teachers:

Discuss the meaning of the area of a square as the flat space inside it. Establish the idea that you can find the area of a square by counting the 1cm squares that would fit into it.

Investigate the areas of different squares and, in the process, revise how to find simple squares and square roots.

Consider what might happen to the area if you double the size of a square. Investigate and discover that if you double the width, the area is multiplied by 4. (This idea is explored further in the section How similar shapes work.)
Quiz: Questions finding the area from the width and the width from the area. Whole numbers within 10.

Hide Notes       See champions and stars  

Areas of Rectangles
Investigate!
Try Quiz
Notes for Teachers:

Discuss the meaning of the area of a rectangle as the flat space inside it. Establish the idea that you can find the area of a rectangle by counting the 1cm squares that would fit into it (p1).

Investigate the areas of different rectangles, exploring what happens if you fix either the length or the width and change the other one (p3). Note note the link with multiplication. Establish that to find the length or width when you know the area you have to divide (p6). Practise this.

Explore to find rectangles that have an area of 30 (p10), and then an area of 100 (p13). Note the link with factors and factor rainbows.

Note: This investigation suggests that the children draw rectangles and tables to record their findings.
Quiz: Questions where you have to find the area, width or length of a rectangle given the other two, using tables facts.

Hide Notes       See champions and stars  

 

       How it Works: Overview   

 
     
  Maths Investigations - Challenging You to Think about Maths