National curriculum content
- Describe positions on the full co-ordinate grid (all four quadrants)
- Draw and translate simple shapes on the co-ordinate plane, and reflect them in the axes
Lesson objectives
- The first quadrant
- Read and plot points in four quadrants
- Solve problems with coordinates
- Translations
- Reflections
What do we want children to know?
Use knowledge to solve Reasoning and Problem Solving questions such as:
Working backwards
Two triangles have the following co-ordinates:
Triangle A: (3, 5) (7, 5) (4, 7)
Triangle B: (3, 1) (7, 1) (4, 3)
Describe the translation of triangle A to B and then from B to A.
Possible answers
Follow the clues. What could the missing co-ordinates of the shape be?
- The shape is a regular polygon
- The shape crosses all four quadrants
- At least three points have 0 in their co-ordinates
- One of the points is (10,10)
True or false?
Dexter has translated the rectangle ABCD 6 units down and 1 unit to the right to get to the yellow rectangle.
Explain your reasoning.
Mathematical Talk
- Which axis do we look at first?
- Does joining up the vertices already given help you to draw the shape?
- Can you draw a shape in the first quadrant and describe the co-ordinates of the vertices to a friend?
- If (0,0) is the centre of the axis (the origin), which way do you move along the x-axis to find negative co-ordinates?
- Which way do you move along the y-axis to find negative co-ordinates?
- Which point are you going to look at when describing the translation?
- Does each vertex translate in the same way?
- How is reflecting different to translating?
- Can you reflect one vertex at a time? Does this make it easier to reflect the shape?
- Which axis are you going to use as the mirror line?