Chapter 6: Coordinates and straight-line graphs
A straight-line graph turns an algebraic rule into a picture whose gradient and intercept carry meaning.
Part of your national curriculum
- Algebra: Work with coordinates in all four quadrants and recognise, sketch and produce graphs of linear functions
Lesson overview
What you'll learn in this lesson
Work with coordinates in all four quadrants and recognise, sketch and produce graphs of linear functions
Key learning points
- • Coordinates
- • Generate a line
- • Read the structure
This lesson at a glance
- 32 minutes
- 17 parts to scroll through
- 3 quick checks
- Marked quiz at the end
- Gentle pace: short sittings with pauses
Words to know
Scroll down — the lesson carries on below
Watch & discover
Part 1 of 17
Visual introductionPicture this
Chapter 6: Coordinates and straight-line graphs
A straight-line graph turns an algebraic rule into a picture whose gradient and intercept carry meaning.
In a nutshell
Work with coordinates in all four quadrants and recognise, sketch and produce graphs of linear functions
Learning cycle
Part 2 of 17
Learning cycle 1 of 2
Part 1 · Coordinates
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 3 of 17
Learn
Coordinates
Coordinates are written (x,y): move horizontally first, then vertically. Negative coordinates locate points left of or below the origin.
Reset break
Part 4 of 17
Pause
That's sitting 1 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Explore the idea
Part 5 of 17
Learn
Generate a line
For y = 2x + 1, choose x-values, calculate y, plot the points and join them with a straight line. Points include (0,1), (1,3) and (2,5).
Quick check
Part 6 of 17
Quick check
Part 7 of 17
Reset break
Part 8 of 17
Pause
That's sitting 2 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Learning cycle
Part 9 of 17
Learning cycle 2 of 2
Part 2 · Read the structure
A short piece of teaching, then a check to make sure it has landed.
Explore the idea
Part 10 of 17
Learn
Read the structure
In y = mx + c, m is the gradient and c is the y-intercept. Parallel lines have equal gradients.
Quick check
Part 11 of 17
Reset break
Part 12 of 17
Pause
That's sitting 3 of 4 done
Stretch, get a drink, look out of the window. There is no timer and nothing is counting down — your place is saved, so you can come back in five minutes or tomorrow.
Challenge round
Part 13 of 17
Game · Sort it
Which of these are true?
Drag each card into the right column. Tap a card first if dragging is fiddly.
True
Not true
Challenge round
Part 14 of 17
Game · Fill the gaps
Finish the sentences
Choose the word that belongs in each gap.
____ are written (x,y): move horizontally first, then vertically.
Challenge round
Part 15 of 17
Game · Recall cards
Which point lies in quadrant III?
Card 1 of 4
Mastery quiz
Part 16 of 17
Marked quiz
End of lesson quiz: Chapter 6: Coordinates and straight-line graphs
4 questions, marked with the reasoning shown. No timer.
1. Which point lies in quadrant III?
2. For y=2x+1, find y when x=3.
3. What is the gradient of y=−3x+4?
4. What is the gradient of y = 3x − 4?
Lesson round-up
Part 17 of 17
Lesson round-up
Ready when you are
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Ask LunaPart 1 of 17 · Watch & discover
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Work with coordinates in all four quadrants and recognise, sketch and produce graphs of linear functions