Short Blocks

Maths Year 3 Summer Shape (B)

Each unit has everything you need to teach a set of related skills and concepts. 'Teaching for Understanding' provides whole-class teaching and fully differentiated adult-led group activities. ‘Problem-solving and Reasoning’ develops these skills, and includes questions to enable you to assess mastery. Practice sheets ensure procedural fluency. Extra support activities enable targeted work with children who are well below ARE.

‘UNIT PLAN’ gives you a text version of all parts of the unit to use in your school planning documentation. ‘DOWNLOAD ALL FILES’ gives you that unit plan plus all of associated documents. These bulk downloads are added value for Hamilton Friends and School Subscribers.

Unit 1 Right angles as turns; angles in 2-D shapes (suggested as 4 days)

Objectives

Understand right angles as turns; identify/ compare angles in 2-d shapes
Unit 3: ID #3833

National Curriculum
PofS (ii) (iii) (iv)

Hamilton Objectives
38. Identify right angles as 90⁰ in shapes, and also as turns; recognise angles as less than or greater than 90⁰.
39. Identify horizontal and vertical lines, and pairs of parallel and perpendicular lines.

Teaching and Group Activities for Understanding

Day 1
Show a clock face on the IWB. Where does the minute hand point at quarter past? At half past. Quarter to? Draw lines to split the clock into quarters. Shade a quarter section. This is a quarter of the clock face. What’s the angle between the lines? [a right angle; 90 degrees; 90°]. Draw a right angle. A right angle is a quarter turn. Repeat to identify a half turn and a three-quarter turn. Note that the clock hands turn clockwise. Turning the other way is anti-clockwise.
Group Activities
-- In the hall or an outdoor space, give instructions to practise making quarter, half and three-quarter turns.

Day 2
Show a picture. Close your eyes. Turn it 90° clockwise. Open eyes, what have I done? You have turned it through a right angle, a quarter of a full turn. Repeat, turning it through 2, then 3 then 4 right angles, both clockwise and anticlockwise. 2 right angles is half a complete turn, 4 right angles a complete turn.
Group Activities
-- Create patterns by rotating an irregular shape through successive right angles.
-- Create patterns by rotating a shaded 3 by 3 grid through successive right angles.

Day 3
Draw a square and a rhombus. Which is a square? All the sides in each shape are the same length. Observe how each angle in a square must be a right angle. Show a large set square and how a ‘square’ corner is a right angle. Compare angles in the square and rhombus against the right angle of the set square.
Group Activities
-- Find examples of different types of angle in the classroom and around the school.
-- Classify angles <90° as ‘acute’ and >90° as ‘obtuse’.

Day 4
Use the range of shapes on ‘Perpendicular and parallel lines’ (see resources) to explore lines that are vertical, horizontal, perpendicular and parallel. Look for examples of these around the classroom.
Group Activities
Use the ‘My square, not yours!’ in-depth problem-solving investigation below as today’s group activity.
Or, use these activities:
-- Sort shapes into a Venn diagram based on their properties.

You Will Need

  • Large Hamilton clock (see resources)
  • ‘Animal cards’ (see resources)
  • Use of the hall
  • A picture
  • Squares of card, brass fasteners, sheets of paper
  • Cm² paper and coloured pencils
  • A large set square and small set squares
  • ‘Perpendicular and parallel lines’ (see resources)
  • Flipchart paper
  • Selection of 2-D shapes (both regular and irregular)
  • ‘Sorting shapes’ (see resources)
  • Scissors and glue sticks

Mental/Oral Maths Starters

Suggested for Day 1
Subtraction facts (simmering skills).

Suggested for Day 2
Add multiples of 10 (simmering skills).

Suggested for Day 3
Multiply/divide by 10 (simmering skills).

Suggested for Day 4
Match digital and analogue times; revise am and pm (simmering skills).

Procedural Fluency

Day 1
Say where an arrow on a spinner will be after stated turns.

Day 2
Respond to true /false statements about angles, then questions about a diver’s turns.

Day 3
Use set squares (or corner of a piece of paper) to check which angles on shapes are right angles, more than a right angle or less than a right angle.

Day 4
Identify vertical, horizontal, perpendicular and parallel lines.

Mastery: Reasoning and Problem-Solving

  • Draw a shape with 2 right angles that is not a square. Identify any angle in this shape that is more than 90 degrees.
  • Set a clock to 3 o’clock. Move the minute hand clockwise through 3 right angles. What is the time? What is the angle between the hands of a clock at 6 o’clock?
  • Draw a triangle with 1 angle less than 90 degrees and 1 angle more than 90 degrees. Is the third angle more or less than a right angle?
  • True or false?
    A horizontal line is always at right angles with a vertical line.
    All shapes with 2 pairs of parallel lines are rectangles.
    A pair of perpendicular lines must be horizontal and vertical.

In-depth Investigation: My Square, Not Yours!
Children draw a succession of perpendicular and parallel lines to create squares.

Extra Support

Construction Site
Identifying faces, corners and edges on 3-D shapes