Myths about teaching can hold you back
- Year 10•
- Higher
Ratios in line segments on coordinate axes
I can use ratios to divide a line segment and find the coordinates of a point on the line.
- Year 10•
- Higher
Ratios in line segments on coordinate axes
I can use ratios to divide a line segment and find the coordinates of a point on the line.
Lesson details
Key learning points
- Your knowledge of ratios can be applied here.
- The ratio can be applied to both the x and y distances.
- Your knowledge of similar triangles explains why this works for diagonal lines.
Keywords
Midpoint - The midpoint of a line segment is halfway between the two end points.
Common misconception
P is a point such that AP : PB is in the ratio of 1 : 3 means that point P is a third of the distance of AB from A.
There are 4 equal parts in total, meaning that point P is a quarter of the distance of AB from A.
To help you plan your year 10 maths lesson on: Ratios in line segments on coordinate axes, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Ratios in line segments on coordinate axes, 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 4 maths lessons from the Linear graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
Loading...
Prior knowledge starter quiz
6 Questions
Q1.Which of the below are ratios?
Q2.Match each ratio to an equivalent ratio.
1 : 2 -
12 : 24
2 : 1 -
12 : 6
1 : 3 -
8 : 24
2 : 3 -
12 : 18
3 : 2 -
18 : 12
Q3.Two Oak pupils share 30 sweets in the ratio of 1 : 1. What proportion of the sweets does the second pupil receive?
Q4.£280 is divided in the ratio of 1 : 4. Which calculation can be used to find the larger share?
Q5.8640 grams is divided in the ratio of 3 : 5. How much is in the smaller share?
Q6.What number is exactly in the middle of -17 and 60?
Assessment exit quiz
6 Questions
Q1.Halfway between the two end points of a line segment is the ...
Q2.Three points A, B and P are plotted. If AP : PB is in the ratio of 1 : 1 then P is the of AB.
Q3.What is the midpoint of line segment AB?

Q4.Find the coordinates of the point P when AP : PB is in the ratio 3 : 1.

Q5.Find the coordinates of the point P when AP : PB is in the ratio 1 : 4.

Q6.Find the coordinates of the point P when AP : PB is in the ratio 3 : 2.
