Calculating Area
Measurement 3
Each day you will have several activities to complete in this workbook including...
Optional: Measurement Problem Solving
Monday
Tuesday
Wednesday
Thursday
We are learning to...
Converting Measurements Knowledge
Measuring Length, perimeter and area
Length is the measurement of the distance between two points.
Perimeter is the measurement of the distance around the boundary of a shape.
Converting from larger units to smaller units | ||
Kilometres to metres multiply by 1000 | Metres to Centimetres Multiply by 100 | Centimetres to Millimetres Multiply by 10 |
Converting from smaller units to larger units | ||
Millimetres to Centimetres Divide by 10 | Centimetres to Metres Divide by 100 | Metres to Kilometres Divide by 1000 |
Monday Knowledge
Convert between these units using multiplication or division.
Record your answers here
Monday and Tuesday Strategy
Calculating the Area of Squares and Rectangles
Area is the amount of surface covered by a shape and it is measured in squares.
To calculate the area of a rectangles and squares you use the following formula
Base x height = Area
The square metre is the base unit of area.
The most commonly used measurements are cm2, m2 and km2.
Examples:
Calculating Area Practice
Calculate the area of each of the shapes below.
Record your equations and answers here.
1.
2.
3.
4.
5.
6.
7.
8.
9.
Monday Maths Investigation
Did you know that the world record for the largest lasagne was made in 2012? Read about it here. It was cooked in a dish that measured an amazing 25m x 2.5m.
Your task this week is to answer the following questions about this lasagne. You can do this in jamboard and insert a picture of your jamboard here.
Tuesday Knowledge
Order these people from shortest to tallest. Change all of the measurements to cm first.
Tama is 1.6 m tall = cm
Robert is 132 cm tall = 132cm
Maria is 150 cm tall = 150cm
Tim is 1,822 mm tall = cm
Janet is 1.44m tall = cm
Rose is 1,042 mm tall = cm
Record the people in height order from shortest to tallest here.
Calculating Area Practice 2
Calculate the area of each of the shapes below.
Tuesday Area Investigation
Area Scavenger Hunt: Solve the riddles to identify the objects below. Once you have identified the object use a ruler or tape measure to measure the perimeter and calculate the floor surface area of each.
Clue | Name of Object | Object Perimeter | Object Area |
This is something in your kitchen. Meat, milk and yogurt it does hold. The reason you put them in this Is because it helps to keep them cold | | | |
This item can be used to see what is right there. An evil queen used hers to find out who’s most fair. | | | |
This is a piece of furniture. There’s a room named after this. It’s something that gets used every night. After mum says lights out, sleep tight. | | | |
This is something with a frame, part of which is called a jamb. When people get frustrated this is something they might slam! | | | |
Although this thing has a spine it doesn’t have a face. Although it is not clothing it gets stored in a case | | | |
Wednesday Knowledge
An Olympic swimming pool is 50m long. How many lengths must be swum for each of these distances.
How far would you have swum if you swam the following number of lengths.
Record your answers here.
Wednesday Strategy
Calculating the Area of Triangles
Area is the amount of surface covered by a shape and it is measured in squares.
To calculate the area of a triangle you use the following formula:
Area = ½ base x height
The square metre is the base unit of area.
The most commonly used measurements are cm2, m2 and km2.
Examples:
Base = 5 cm
Height = 3 cm
½ x 5 x 3 = 7.5
Area = 7.5cm2
Calculating Area of Triangles Practice
Calculate the area of each of the triangles below.
Record your equations and answers here.
1.
2.
3.
4.
5.
6.
6. A triangle with a base of 12cm and height of 7cm
7. A triangle with a base of 17m and height of 14m
8. A triangle with a base of 10.2m and height of 9m
Wednesday Maths Investigation
Task: My Bedroom Scale Drawing
Measure the perimeter and area of your bedroom in square metres using a measuring tape. If you do not have a tape measure, measure by pacing out your steps.
Draw a to scale drawing of your room in jamboard using the scale 1 cm = 1 metre.
Measure your bed and add your bed on your scale drawing.
Record the perimeter and area measurements of your room and objects within your room on your drawing.
Bonus: Measure other furniture in your room such as your bedside table and add them to your scale drawing.
Thursday Knowledge
Calculate the perimeter of the following shapes
Use the perimeter measurement to work out the length of each sides on the squares below.
Record your answers here
Thursday Strategy
Calculating the area of composite shapes
A composite shape is a figure that is made up of two or more basic shapes.
To calculate the area of a composite shape:
Example:
Calculating Area Practice
Calculate the perimeter of these composite shapes.
Record your equations and answers here.
1.
2.
3.
4.
5.
6.
Thursday Maths Investigation
Perimeter and Area Investigation
Task Instructions
Bonus Problem Solving 1
Problem 1: Jean has 2.6m of material to make an outfit. She needs 1.9m for the top and 90cm for the skirt. Does she have enough material?
Insert a photo here of your working out
What operations will solve this problem and why?
Explain how you got your answer in sentence form.
Bonus Problem Solving 2
Problem 2: Slices of bread are 15mm thick. A loaf has 16 slices. How many centimetres long is the loaf?
Insert a photo here of your working out
What operations will solve this problem and why?
Explain how you got your answer in sentence form.