Starter quiz
- The linear equation will form a __________ graph.
- curved
- decreasing ✓
- straight line
-
- Which of these coordinates will be on the linear graph ?
- (5, 8) ✓
- (8,5)
- (-4, -1)
- (1, -4) ✓
- (2, -1) ✓
-
- How many points can be plotted on the graph of the linear equation ?
- All integers.
- Positive integer values only.
- Negative integer values only.
- Millions but, there is a limit.
- The number of points you can plot on this graph goes on infinitely. ✓
-
- If you were populating this table of values for the linear equation , what is highest value of you will get?
- 3
- 5
- 8
- 23 ✓
- 28
-
- If you were populating this table of values for the linear equation , what is lowest value of you will get?
- 23
- -3
- -5
- -7 ✓
- -23
-
- Which of these equation will produce a non-linear graph?
-
-
-
-
- ✓
-
Exit quiz
- A __________ equation is an equation where the highest exponent of the variable is 2.
- arithmetic
- cubic
- geometric
- linear
- quadratic ✓
-
- Select all the quadratic equations.
-
-
- ✓
- ✓
-
-
- __________ is a special symmetrical curve which can be bowl-shaped or archlike.
- A cubic curve
- An exponent
- A straight-line
- A parabola ✓
- A parallel
-
- Which of the below equations will form a parabola when plotted?
- ✓
- ✓
-
- ✓
-
-
- Match each equation to the description of its shape when graphed.
- ⇔Straight graph. ✓
- ⇔Parabola. ✓
- ⇔Cubic curve. ✓
- Which of these equations will produce parabolas that are 'archlike' or appear to 'open downwards' when graphed?
-
-
-
- ✓
-
-
Worksheet
Loading worksheet ...
Presentation
Loading presentation ...
Lesson Details
Key learning points
- There are many different types of equations.
- You can plot the graph of an equation if you have two variables (one for each axis).
- Certain types of equation give rise to certain graph shapes.
- Linear equations produce a straight line.
- Quadratic equations produce a parabola.
Common misconception
After plotting the integer coordinate pairs of a quadratic, they should be joined with a straight line.
Use graphing technology to plot coordinate pairs that use smaller and smaller non-integer steps between -coordinates. This will reveal the true, curved nature of the line.
Keywords
Quadratic - A quadratic is an equation whereby the highest exponent of the variable is 2; the graph of which forms a parabola.
Parabola - A parabola is a curve where any point on the curve is an equal distance from a fixed point (the focus) and a fixed straight line (a directrix).
+