Your Basket 0 items - £0.00

In this unit of work students are introduced to a range of angle properties including angles on a straight line, in a triangle and vertically opposite. Students are guided to discover each of the angle properties for themselves so they can link them together later on.

This unit takes place in Term 5 of Year 7 and is the prerequisite unit for angles in parallel lines and exterior angles in polygons which students cover in Year 8.

- know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
- draw given angles, and measure them in degrees (°)
- identify:
- angles at a point and one whole turn total 360°
- angles at a point on a straight line total 180°
- other multiples of 90°

- recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

- Protractors have two scales measuring 0° to 180°. One scale goes clockwise the other anti-clockwise. Students should always start measuring from the line that goes through 0°.
- A right-angle is termed perpendicular and is 90°.
- A straight line is 180°.
- Angles about a point have a total of 360°.
- Vertically opposite angles are equal to each other.
- Angles in a triangle have a sum of 180°.
- A quadrilateral is made up of two adjoining triangles and therefore has a sum of 360°.

Develop fluency

- Use language and properties precisely to analyse 2-D shapes
- Select and use appropriate calculation strategies to solve increasingly complex problems

Reason mathematically

- Make and test conjectures about patterns and relationships; look for proofs or counter-examples
- Begin to reason deductively in geometry, including using geometrical constructions

Solve problems

- Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems

Shape

- Draw and measure line segments and angles in geometric figures, including interpreting scale drawings
- Apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles
- Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon

June 5, 2019

Students should be able to represent the solutions to an inequality on a number line, using set notation or as a list of integer values. Here’s how I teach using the balance method for solving inequalities using a number line. Matching inequalities, Number sets and Number Lines At the start of the lesson students recap […]

May 1, 2019

In this blog I will share some practical tips for using mini-whiteboards in a mathematics lesson. I use mini-whiteboards nearly every lesson because they help the students show me the progress they are making. When I understand what the misconceptions are I am able to address them in subsequent examples as part of my feedback. […]

April 17, 2019

Demonstrating student progression during a mathematics lesson is about understanding the learning objective and breaking that down into explicit success criteria. Using Success Criteria Take, for example, a lesson on calculating the area of compound rectilinear shapes. The intended learning objective was written on the main whiteboard. Success criteria were used to break down the individual […]