Page 99 - Knowledge Organiser Yr8 24-25

Knowledge Base: Mathematics TOPIC 18: Real Life Graphs Year 8 | Spring Term 1
By the end of this topic you should be able to:
• Create a table of values
• Plot a graph
• Recognize common straight-line graphs
• Find the gradient of a straight line
• Understand the meaning of the equation y=mx+c
• Plot and interpret a real-life graph
• Plot and interpret a distance time graph
• Find the speed from a distance time graph
Worked examples
Equation A statement of mathematical equality
y = 2x + 1
Language
Meaning
Example
Table of values
A table giving the coordinates of points on a given line
Straight line graph
A graph with an equation that can be written in the form y = mx + c
y = 2x + 1 is a straight line
Real life graph
A graph which can be used to illustrate a real- life situation
A graph of distance vs time for your journey to school
Constant
A number in an expression or equation. It does not change
y = 2x + 1
1 is a constant
Gradient
A number that describes the Change in y steepness of a line Defined as Change in x
A line through (0,0) and (4,2) Has gradient
2−0 = 2 = 1 4-0 4 2
Intercept The point at which a line crosses an axis
The line y = 2x + 1 has a y-intercept (0,1)
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