Definitions Flashcards
Definition:
Proportion
Proportion is used to show how quantities and amounts are related to each other
Definition:
Direct proportion
There is a direct proportion between two values when one is a multiple of the other.
This means as one value increases so does the other, and if one value decreases so does the other.
Command Word:
Solve
Find the value of the unknown value/letter (often x)
Definition:
Constant of proportionality
Two values in proportion will always have a constant value that links them, we often label this k (and you will need to find it)
(think of this as the hourly rate)
Definition:
Proportional Expression
When two things are in proportion we can form an expression to show this, we have a special symbol for this (the one that looks like a fish)
Definition:
Square
to multiply a number by itself
Definition:
Cubic Graph
Graphs that has a cubed x in the equation
Definition:
Inverse Proportion
There is a inverse proportion between two values when they change in opposite directions.
This means as one value increases the other decreases , and if one value decreases the other increases.
Definition:
Inverse
the opposite/reverse of something
Command Word:
Evaluate
Find the numerical value/answer
Definition:
Indicies
Another name for powers, when we are dealing with multiple multiplications of a number
Definitions:
Exponential Graphs
Graphs where the equation is a number to the power of x
Command Word:
Sketch the graph
Draw a rough shape of the graph and label key points like:
- intercepts (x and y axis)
- turning points
Definition:
Area
The amount of space inside a 2D shape units cm squared
Definition:
Trapezium
A quadrilateral with one pair of parallel sides
Definition:
Gradient
The rate of change, how step the line in the graph is.
Definition:
Tangent (graph)
The tangent line to a curve at a given point is the straight line that “just touches” the curve at that point.
Definition:
Non-linear graphs
Linear graphs are of the form y=mx+c, where the only power of x is one
So any graph that has a different power for x in non linear
Definition:
Translation
A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation.
Definition:
Function Notation
Displays the function as an expression that gives you the direction to find the output
Definitions:
Transformations
Are processes to move or resize a shape. These include:
- translations (move the shape)
- rotation (spin the shape)
- reflection (flip the shape over)
- enlargement (change the size)
Definition:
Parallel
Lines are parallel if they are straight and never touch
Definition:
Curve
Non straight lines
Definition:
Reflections
Using a line of reflection (mirror line) you can flip a shape so that each point is still the same distance from the line
Definition:
Stretch
If a figure is enlarged (or reduced) in only one direction, the change is referred to as a stretch. In a stretch, the figure is distorted, and is not necessarily similar to the original figure.
