PAss Functional Skills

Curved graphs

Curved graphs for A Level Art and Design Edexcel Higher: what it means, how to set the working out, and the questions it is asked in.
  • A Level
  • Edexcel
  • Art and Design
  • Higher
  • Spec N13 · N4
  • 14 min read
  • 8 revision boxes

Introduction

2 boxes
4 min read

What is curved graphs?

Listen to this box

Transcript

A short spoken summary of curved graphs and where it is used.

A spoken walk-through of curved graphs before you read the notes.
Check the answer against an estimate before you move on, so a place-value slip is caught here.
4 rows

The curved graphs reference table

Work through the method one line at a time and write down what changes at each step.
The layout below is the one the mark scheme expects.

Diagram showing curved graphs laid out step by step

The same idea drawn out, so the method is visible.
Term
Meaning
Example
Common slip
Marks
Row 1 column 1
Row 1 column 2
×10\times 10 moves every digit one column left
Row 1 column 4
Row 1 column 5
Row 2 column 1
Row 2 column 2
x2+5x+6=0x^2 + 5x + 6 = 0
Row 2 column 4
Row 2 column 5

Learning

4 boxes
4 steps

How to work with curved graphs

The specification wording is precise here, and the mark scheme follows that wording exactly.
The layout below is the one the mark scheme expects.

Diagram showing curved graphs laid out step by step

The same idea drawn out, so the method is visible.
Worth knowing: x2+5x+6=0x^2 + 5x + 6 = 0.
  1. Read the question and write down what is being asked for.
  2. Set out the working for curved graphs in the order the method gives.
  3. Substitute the values and simplify.
  4. Check the answer against an estimate before writing it down.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: ×10\times 10 moves every digit one column left.
Answer: 49=7\sqrt{49} = 7
2 rules

Key facts: Curved graphs

Read the units in the question before you start; a converted unit is the most common slip.

  • Rule 1

    How curved graphs behaves in the 1st of the cases the specification names.
    49=7\sqrt{49} = 7

  • Rule 2

    How curved graphs behaves in the 2nd of the cases the specification names.
    a2+b2=c2a^2 + b^2 = c^2

  • Rule 3

    How curved graphs behaves in the 3rd of the cases the specification names.
    a2+b2=c2a^2 + b^2 = c^2
5 steps

How to work with curved graphs

Check the answer against an estimate before you move on, so a place-value slip is caught here.
The layout below is the one the mark scheme expects.

Diagram showing curved graphs laid out step by step

The same idea drawn out, so the method is visible.
  1. Read the question and write down what is being asked for.
  2. Set out the working for curved graphs in the order the method gives.
  3. Substitute the values and simplify.
  4. Check the answer against an estimate before writing it down.
Start from the definition and substitute the numbers the question gives you.
Simplify one line at a time: x2+5x+6=0x^2 + 5x + 6 = 0.
Answer: 34×25\frac{3}{4} \times \frac{2}{5}
3 rules

Key facts: Curved graphs

Work through the method one line at a time and write down what changes at each step.

  • Rule 1

    How curved graphs behaves in the 1st of the cases the specification names.
    x2+5x+6=0x^2 + 5x + 6 = 0

  • Rule 2

    How curved graphs behaves in the 2nd of the cases the specification names.
    x2+5x+6=0x^2 + 5x + 6 = 0

  • Rule 3

    How curved graphs behaves in the 3rd of the cases the specification names.
    ≈160\approx 160

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Examples

2 boxes
1 marks · worked

Worked example: curved graphs

The specification wording is precise here, and the mark scheme follows that wording exactly.
3 marks · worked

Practice question 8: x2+5x+6=0x^2 + 5x + 6 = 0

The examiner marks the working, so a correct answer with no method still drops marks.

Practice bank

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Common questions

How many marks is curved graphs usually worth?
Between one and four, depending on how many steps the question asks for.
Is this on the A Level Art and Design Edexcel Higher paper?
Yes — it sits in the Forces and motion strand.