# How to ... Flashcards

What are the 5 steps to solving proportion problems?

How would you write the following as a **proportional expression?**

Proportional expression means to use the ‘fishy’ symbol

How would you write a **proportional equation** for this question?

Equations have equal signs in them, so we replace the proportional symbol with ‘=k’

How would you plot a quadratic graph?

Make and complete a table of values by substituting x into the equation.

(most of the time you are given a table, ** but you may need to make your own**)

How would you form a **proportional expression** for this question?

Proportional expressions use the fishy symbol, also make sure you read the questions for extras like a ** cube** of x

How would you find k for this question?

Substitute a=7 and b=28 into the equation and solve for k

How would you form the **proportional expression** for the question?

Proportional expressions use the fishy symbol, also make sure you read the questions for extras like a **square root** of g

How would you form the **proportional equation** for the question?

Equations have equal signs in them, so we replace the proportional symbol with ‘=k’

How would you plot a cubic graph?

Make and complete a table of values by substituting x into the equation.

(most of the time you are given a table, ** but you may need to make your own**)

How would you plot a reciprocal graph?

Make and complete a table of values by substituting x into the equation.

(most of the time you are given a table, ** but you may need to make your own**)

How would you find the **gradient** of the line at 3 seconds?

Draw a tangent to the curve at 3 seconds and find the gradient of the line.

How would you find the area under the graph between 0 and 3 seconds?

Use the trapezium rule:

- split the x axis into equal strips (between 3 and 8)
- Form each into trapeziums
- Find the area of each trapezium and add them all together
- *Under or over estimate?

What does the gradient represent for the speed time graph?

Acceleration

What does the area under the graph represent?

Distance travelled

How would plot an exponential graph?

Make and complete a table of values by substituting x into the equation.

(most of the time you are given a table, ** but you may need to make your own**)