Finding the Area and Perimeter of a Rectangle
In this worksheet, students roll dice to set the dimensions of rectangles that they then have to find and area and perimeter for. This helps students understand the relationship between these two concepts. This resource is part of a larger unit where students are introduced to the concept of calculating the area of rectangles and triangles, using metric units.
Learning goals
- We are learning to choose appropriate units of measurement for length, area, volume, capacity and mass, e.g. kilometres to measure the distance between two towns.
- We are learning to calculate perimeter and area of rectangles using familiar metric units.
- We are learning to solve problems involving the comparison of lengths and areas using appropriate units.
- We are learning to compare the perimeter and area of shapes, counting appropriate formal and informal units.
- We are learning to choose appropriate units of measurement for length, mass and capacity of objects, e.g. kilometres to measure the distance between two towns.
- We are learning to solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units.
- We are learning to use the formula for the area of a rectangle and use it to solve practical problems.
Curriculum alignment
AC9M6M02
9
Establish the formula for the area of a rectangle and use it to solve practical problems
AC9M5M02
9
Solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units
AC9M5M01
9
Choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measure
AC9M4M02
9
Recognise ways of measuring and approximating the perimeter and area of shapes and enclosed spaces, using appropriate formal and informal units
ACMMG137
8.4
Solve problems involving the comparison of lengths and areas using appropriate units
ACMMG109
8.4
Calculate perimeter and area of rectangles using familiar metric units
ACMMG108
8.4
Choose appropriate units of measurement for length, area, volume, capacity and mass
MA3-12MG
old
Selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass
MA3-11MG
old
Selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity
MA3-10MG
old
Selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles
MA3-9MG
old
Selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-2WM
old
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA2-10MG
old
Measures, records, compares and estimates areas using square centimetres and square metres
MA2-1WM
old
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
MA2-2WM
old
Selects and uses appropriate mental or written strategies, or technology, to solve problems
MA2-3WM
old
Checks the accuracy of a statement and explains the reasoning used
MA2-PF-01
new
Represents and compares halves, quarters, thirds and fifths as lengths on a number line and their related fractions formed by halving (eighths, sixths and tenths)
MA3-NSM-01
new
Selects and uses the appropriate unit and device to measure the masses of objects
MA2-GM-01
new
Uses grid maps and directional language to locate positions and follow routes
MA2-GM-02
new
Measures and estimates lengths in metres, centimetres and millimetres
MA2-GM-03
new
Identifies angles and classifies them by comparing to a right angle
MA2-2DS-01
new
Compares two-dimensional shapes and describes their features
MA2-2DS-02
new
Performs transformations by combining and splitting two-dimensional shapes
MA2-2DS-03
new
Estimates, measures and compares areas using square centimetres and square metres
MA3-AR-01
new
Selects and applies appropriate strategies to solve addition and subtraction problems
MA3-GM-02
new
Selects and uses the appropriate unit and device to measure lengths and distances including perimeters
MA3-2DS-02
new
Selects and uses the appropriate unit to calculate areas, including areas of rectangles
MA3-2DS-03
new
Combines, splits and rearranges shapes to determine the area of parallelograms and triangles
MA3-3DS-02
new
Selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities
MA2-MR-02
new
Completes number sentences involving multiplication and division by finding missing values
MA2-MR-01
new
Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems
VCMMG224
Solve problems involving the comparison of lengths and areas using appropriate units
VCMMG196
Calculate the perimeter and area of rectangles and the volume and capacity of prisms using familiar metric units
VCMMG195
Choose appropriate units of measurement for length, area, volume, capacity and mass
VCMMG169
Compare the areas of regular and irregular shapes by informal means
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.
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