Embedded Files
This is the teacher notes page identifying the outcomes addressed in these lessons. Copy each lesson link and send it to your students. For printable versions of these materials log into the teacher information section of the Department of Education.
Introduction
Introduction
Students will:
revise the definition of area and the units we use to measure area
establish the formula for area of rectangles, triangles, parallelograms and circles
explore the relationships between the area of rectangles, triangles, parallelograms and circles.
solve problems involving calculating the areas of rectangles, triangles, parallelograms and circles.
Outcomes:
MA4-1WM communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
MA4.2WM applies appropriate mathematical techniques to solve problems
MA4-3WM recognises and explains mathematical relationships using reasoning
MA4-13MG uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area
Students will:
revise the definition of area and the units we use to measure area
explore shapes with the same area and different perimeters
divide composite shapes into rectangles, in a variety of ways, in order to calculate the area.
Outcomes:
MA4-1WM communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
MA4.2WM applies appropriate mathematical techniques to solve problems
MA4-3WM recognises and explains mathematical relationships using reasoning
MA4-13MG uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area
Students will:
investigate, in order to establish, that the area of a triangle is half of a rectangle with the same height and base
solve problems involving the area of a triangle
establish that triangles with the same base and height, have the same area, regardless of their shape.
Outcomes:
MA4-1WM communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
MA4.2WM applies appropriate mathematical techniques to solve problems
MA4-3WM recognises and explains mathematical relationships using reasoning
MA4-13MG uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area
Students will:
investigate, in order to establish, that the area of a parallelogram is equal to that of a rectangle with the same base and height
solve problems involving the area of a parallelogram
establish that all parallelograms with the same base and height, have the same area, regardless of their shape.
Outcomes:
MA4-1WM communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
MA4.2WM applies appropriate mathematical techniques to solve problems
MA4-3WM recognises and explains mathematical relationships using reasoning
MA4-13MG uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area
Students will:
investigate, in order to establish, that a circle can be divided into a large number of sectors and arranged to closely resemble a rectangle, with a height equal to the radius of the circle and base, equal to half of the circumference of a circle
solve problems involving the area of circles
order shapes with regards to their area and investigate which shape always has the largest area.
Outcomes:
MA4-1WM communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
MA4.2WM applies appropriate mathematical techniques to solve problems
MA4-3WM recognises and explains mathematical relationships using reasoning
MA4-13MG uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area
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Resource Evaluation
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