Complete polygons with missing coordinates
Lesson details
Learning outcome
I can mark points specified as a translation from the origin.
Key learning points
- Use knowledge of polygon properties to identify a missing vertex.
- Use known coordinates to plot a missing coordinate.
Keywords
Vertex / vertices - A vertex is the point where two or more line segments meet. The plural is vertices.
Common misconception
Pupils may not correctly identify the type of polygon (e.g., rectangle, square, parallelogram), leading to errors in determining the missing coordinate.
Encourage pupils to first identify the polygon by examining the given vertices. Review the properties of common polygons (e.g., opposite sides of a rectangle are equal and parallel). Use visual aids or models to reinforce these properties.
Teacher tip
Remind pupils to carefully consider the relationship between the known coordinates. For instance, in a rectangle, if two points share the same x-coordinate, the third point on that vertical line will also share it. Use guided practice to reinforce this understanding.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Select the image that does not show a right angle.
Q2.Two lines are perpendicular if they meet at a angle.
Q3.What is the name of the shape which is to the left of the hexagon?
Q4.What is the name of the shape which is below the circle?
Q5.What are the coordinates of the star? Remember to use brackets and a comma.
Q6.Sofia thinks of a shape. She says it has 4 sides and 4 vertices. It has exactly one pair of parallel lines. What shape could she be describing?
Assessment exit quiz
6 Questions
Q1.You have three vertices of a rectangle: A, B, and C. Where should vertex D be?
Q2.Lucas wants to find the coordinates of the missing vertices to complete the square. Which coordinates complete the square?
Q3.Sofia wants to create a pentagon. She uses a dot to plot the final vertex. Which coordinates could it not be?
Q4.Sofia completes a rectangle by plotting points C and D. Is she correct?
Q5.Sofia has plotted the final two vertices of a quadrilateral. She thinks that it’s a rectangle. Is Sofia correct?
Q6.Lucas plots another coordinate to complete a trapezium. He say he will plot it at (1, 2). Will this create a trapezium?
To help you plan your 4 maths lesson on: Complete polygons with missing coordinates, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Complete polygons with missing coordinates, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Coordinates unit, dive into the full primary maths curriculum, or learn more about lesson planning.