Measurement and shapes
Build and connect the representations and methods in measurement and shapes.
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Before you begin
Build and connect the representations and methods in measurement and shapes.
Learning goals
- Read clocks and calculate durations
- Distinguish area, perimeter and volume and their units
- Calculate and justify area and perimeter
- Construct geometric figures from stated conditions
- Classify shapes by their properties
- Write a three-point name for a marked angle
- Identify a marked opening from a three-point angle name
- Measure an angle in degrees
- Draw an angle of a given size
- Draw a rectangle with specified unequal sides
- Draw a square with a specified side
- Use side and angle properties of rectangles and squares
- Deduce unknown angles from geometric relationships
Syllabus statements covered
- measuring time in hours and minutes
- converting time in hours and minutes to minutes only, and vice versa
- finding the starting time, finishing time or duration given the other two quantities
- 24-hour clock
- concept of area and perimeter of a plane figure
- measuring area in square units, cm² and m², excluding conversion between cm² and m²
- area and perimeter of rectangle/square
- finding one dimension of a rectangle given the other dimension and its area/perimeter
- finding the length of one side of a square given its area/perimeter
- finding the area and perimeter of composite figures made up of rectangles and squares
- building solids with unit cubes
- measuring volume in cubic units, cm³ and m³ excluding conversion between cm³ and m³
- drawing cubes and cuboids on isometric grid
- perpendicular and parallel lines
- drawing perpendicular and parallel lines
- using notation such as ∠ ABC and ∠ a to name angles
- measuring angles in degrees
- drawing an angle of a given size
- angles on a straight line
- angles at a point
- vertically opposite angles
- finding unknown angles
- properties of rectangle and square, excluding diagonal properties
- drawing rectangle and square
Lessons
Work through them in order.
About lesson progress
Lesson marks record what you have studied. Checks show understanding separately. Guest marks come from this device.
- Minutes and elapsed timeRead every minute on a clock and convert between hours and minutes.
- The 24-hour clock and durationsFind start times, finish times and durations while respecting sixty minutes per hour.
- Area and perimeterDistinguish covering a surface from tracing its boundary, then calculate both for rectangles and squares.
- Missing sides and composite figuresUse area or perimeter to find a missing length and separate inside joins from the outside boundary.
- Unit cubes and volumeCount three-dimensional space in equal cubes and read a layered cube drawing.
- Turns, parallel lines and square cornersCompare angles with a right angle and draw perpendicular or parallel lines using their defining properties.
- Measure and draw anglesName an angle by its vertex, align a protractor and choose the scale starting at zero.
- Angles on lines and at a pointChoose the correct angle relationship and state why it applies.
- Rectangle and square properties and constructionUse right angles and equal side lengths to draw and check a rectangle or square.