GM3-2: Find areas of rectangles and volumes of cuboids by applying multiplication.
This means students will begin by measuring the areas of rectangles and other shapes using square units. This is because square units of the same size tessellate, that is join together with no laps or overlaps. That means that the measurement is consistent whereas the use of a non-tessellating unit would give variable results due to gaps and overlaps. Similarly, volume is measured in cubes of the same size. At Level Three students should apply whole number multiplication to make the process of counting squares or cubes more efficient.
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4 x 6 = 24 square units | 3 x 4 x 6 = 72 cubic units |
find the area of a rectangle (Problem 1)
solve puzzles involving 3 dimensional drawings (Problem 2)
use addition to solve puzzles (Problem 3)
find outcomes using a diagram (Problem 4)
Students will:
- make a scale drawing of an eco-kennel to suit a given volume
- scale up the drawing by specifi ed percentages.
Students should discover that:
- volume is length by width by height
- increasing dimensions by 50% or less can double the volume of a cuboid.
- Use multiplication to calculate the area of a rectangle.
- Measure the length of a side using a ruler.
- Use proportional reasoning to find the area of a rectangle.
measure volume of a cuboid
find volume of a cuboid (Problem 1)
continue a sequential pattern (Problem 2)
solve division problems (Problem 3)
use algebraic thinking to solve problems (Problem 4)
find the volume of rectangular prisms
find the volume of rectangular prisms
use multiplication to solve perimeter and area problems.
find volumes of cuboids
interpret charts
solve problems involving time and distances
use multiplication to find areas of rectangles
find outcomes using diagrams (Problem 1)
find areas of rectangles (Problem 2)
solve multiplication and division facts (Problem 4)
find areas by counting or using multiplication
convert a fraction to a percetage
find volume of cuboids
measure mass
- Identify, describe, and demonstrate rotation, translation and reflection within simple designs.
- Estimate and measure the areas of rectangles.
- Accurately measure in centimetres.
- Apply addition and multiplication strategies to problems involving centimetres and a measurement context.
- Create an accurate300
use multiplication to solve perimeter and area problems.
use multiplication to solve perimeter and area problems.