Unit 3 Review – Modelling Linear Relationships:
The four representations of a relationship can be shown using: WORDS / GRAPH / NUMBERS / EQUATION
Are you prepared for the test? Can you…?
9. Determine whether a relationship is linear or non-linear from any representation. Showing appropriate calculations where required.
10. Graph a line using: a) Table of values – NO DECIMALS!
b) Slope y-intercept method – using appropriate scales to plot exact points on the grid.
c) When to include all four quadrants on the Cartesian plane for a graph?
d) Appropriate symbols for the line (e.g. 1 or 2 arrows? Label the line)
11. Determine the direction of a line by looking at its slope.
12. Determine the type of line by looking at its slope. (Remember: "Slope Man")
13. Compare the steepness of two or more lines by looking at their slopes values.
Final Reminders: Bring your calculator (no phones allowed) and bring your ruler. - Review will be collected on TEST DAY.
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Unit 2 Review - Relations
(Be sure that you know the meaning of the words in bold)
1. SIX steps of the experimental process:
2. Constructing a fully labelled scatter plot using TAILS:
3. Constructing an appropriate line of best fit and using it to estimate values that were not collected.
Interpolated estimates are often more reliable than extrapolated estimates.
Look for outliers and reflect on how such a point(s) may have occurred.
4. Analyze the data to determine whether the conclusions are valid for the entire population.
Reflect on how the results of the study can be used in a broader context (e.g. who else would be interested in the data and what would they do with it?)
FINAL REMINDERS:
Good Luck!
The four representations of a relationship can be shown using: WORDS / GRAPH / NUMBERS / EQUATION
Are you prepared for the test? Can you…?
- Define and identify the independent and dependent variables from any representation.
- Construct a table of values from any representation.
- Write an equation from any representation (i.e. Find m, find b, then state the equation in simplified form)
- Use the equation to evaluate other y-values.
- Distinguish direct or partial variation from any representation (with appropriate reasons).
- Define and identify the x-intercept or y-intercept from a graph and table of values.
- Identify the vertical intercept from any representation. Interpret the meaning of the vertical intercept from a word problem.
9. Determine whether a relationship is linear or non-linear from any representation. Showing appropriate calculations where required.
10. Graph a line using: a) Table of values – NO DECIMALS!
b) Slope y-intercept method – using appropriate scales to plot exact points on the grid.
c) When to include all four quadrants on the Cartesian plane for a graph?
d) Appropriate symbols for the line (e.g. 1 or 2 arrows? Label the line)
11. Determine the direction of a line by looking at its slope.
12. Determine the type of line by looking at its slope. (Remember: "Slope Man")
13. Compare the steepness of two or more lines by looking at their slopes values.
Final Reminders: Bring your calculator (no phones allowed) and bring your ruler. - Review will be collected on TEST DAY.
===============================================================================================================================
Unit 2 Review - Relations
(Be sure that you know the meaning of the words in bold)
1. SIX steps of the experimental process:
- Stating an objective.
- Formulating a hypothesis (and writing the opposite hypothesis) between two variables.
- Collecting data from a suitable population (advantages & disadvantages of census vs sample)
- This includes choosing a suitable data collection method (e.g. survey / experiment / database) for each data set in such a way as to reduce bias and ensure valid conclusions.
- Recording data (frequency table vs table of values) and Representing data (bar graph vs scatter plot)
- Interpreting scatter plot data by looking for a trend and describing the relationship, if one exists.
- Making predictions from interpolating and extrapolating from a properly drawn line of best fit.
2. Constructing a fully labelled scatter plot using TAILS:
- From a table of values
- Assigning horizontal and vertical axes for the independent and dependent variables, respectively.
- Choosing an appropriate set of increments for each axis (scales must start from 0)
- Including proper axis labels and main title (y vs x)
- Remember to plot the ordered pairs carefully.
3. Constructing an appropriate line of best fit and using it to estimate values that were not collected.
Interpolated estimates are often more reliable than extrapolated estimates.
Look for outliers and reflect on how such a point(s) may have occurred.
4. Analyze the data to determine whether the conclusions are valid for the entire population.
Reflect on how the results of the study can be used in a broader context (e.g. who else would be interested in the data and what would they do with it?)
FINAL REMINDERS:
- There is very little, if any, calculations in this unit - but bring a calculator anyway, just in case.
- Instead, you will be required to 'reflect and write' about the concepts discussed in this unit and how they would related to specific studies.
- Please bring a ruler for this test.
Good Luck!