Starter quiz
- In algebra, when we replace variables with values we call this ______.
- transforming
- substituting ✓
- calculating
- solving
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- What is this coordinate?
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- ✓
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- Which statements are true of this coordinate?
- The -coordinate is double the -coordinate. ✓
- The -coordinate is half the -coordinate.
- The -coordinate is more than the -coordinate. ✓
- The -coordinate is more than the -coordinate. ✓
- The -coordinate and -coordinate sum to .
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- What is the value of the expression when ?
- '14' ✓
- What is the value of the expression when ?
- ✓
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- Starting with the lowest, order the value of these expressions when .
- 1⇔
- 2⇔
- 3⇔
- 4⇔
- 5⇔
Exit quiz
- All of these coordinates fit the relationship . This is an example of a ______ relationship.
- quadratic
- linear ✓
- diagonal
- constant
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- What is the relationship between the and coordinates for the set , , and ?
- is always away from .
- is always more than .
- is double .
- is double . ✓
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- If we plot these coordinates will we see a linear relationship? , , , , and .
- Yes. This is an increasing linear relationship.
- No. They do not fit the same rule. ✓
- It's impossible to know until we plot them.
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- Match the coordinates to the respective rule.
- ⇔✓
- ⇔✓
- ⇔✓
- ⇔✓
- These coordinates all fit the relationship . Which words describe this relationship?
- Linear
- Non-linear ✓
- Straight line
- Curve ✓
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- Some pupils are sharing sweets. As the number of pupils () varies, the numbers of sweets () each student gets varies. Which of the below represents this relationship?
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- ✓
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Worksheet
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Presentation
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Lesson Details
Key learning points
- A relationship between two variables can be described using a rule.
- This relationship can be used to generate coordinate pairs.
- These pairs can be plotted on a graph.
- The shape of the curve made will give information about the relationship between the points.
- All the points on the curve satisfy the relationship.
Common misconception
All graphs are linear and if graphs are not linear you join points with straight line segments.
Explore and . \"I see and 2; they must be similar\" pupils think. Get them to compare numerically, then graphically.
Keywords
Substitute - Substitute means to put in place of another. In Algebra, substitution can be used to replace variables with values.
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