9.3 Linear Relationships

Sometimes a linear relationship is only represented as an equation or expression; you do not receive a table of values to go along with it.  However, you can create your own table of values using the equation or expression.  This means choosing some appropriate values for x that can be used to find their matching values for y.  Once you have created enough entries in a table of values, you can plot those points and draw a line!

Things you should be able to do after today:

  • determine the equation or expression from a table of values
  • evaluate expressions when given values for x
  • create your own table of values using an equation/expression
  • graph a linear relationship from an equation/expression

Resources

  • Notes
  • Blank Grid Paper

Assignment

  • p357 36, 7, 9, 11, 12, 14, 15, 17, 19 *20
Attachments:
FileDescriptionFile size
Download this file (8.9.3.notes.integer.relationships.pdf)8.9.3.notes.integer.relationships.pdf 1977 kB
Download this file (gridpaper.doc)gridpaper.doc 27 kB

9.2 Finding Patterns in Tables

While many relationships have an obvious pattern when you look at their graphs, you can see the same pattern by looking at the table of values if you know what to look for.  Today, you will be looking at tables of values to help you find out if the relationship is linear (makes a line) or not.  As well, you will also explore different ways of describing the relationship using the language of math, algebra!

Things you should be able to do after today:

  • determine if a relationship is linear by looking for patters in the table of values
  • express a linear relationship using words
  • express a linear relationship using an expression
  • express a linear relationship as an ordered pair using expressions

Resources

  • Notes

Assignment

  • p348 #4, 6, 8, 10, 13, 15, 16, 18 *19 *20
Attachments:
FileDescriptionFile size
Download this file (8.9.2.notes.patterns.in.tables.pdf)8.9.2.notes.patterns.in.tables.pdf 1919 kB

9.1 Analysing Graphs of Linear Relations

One of the most important uses for math and numeracy is to analyze numbers and what they mean.  We like to look for patterns so that we can make predictions or extrapolate data (what does extrapolate mean? Ask Google!)  Today we will be looking at paired sets of numbers to see how we can represent them visually, and then look for patterns in the data to make predictions.

Things you should know after today:

  • What is a linear relationship
  • How to plot coordinates on an x-y coordinate grid
  • How can you represent data in a table of values
  • How you can use the graph of a linear relationship to make predictions
  • When those predictions might or might not make sense.

Resources

  • Notes

Assignment

  • p337 #5, 6, 8, 9, 11, 12, 15, 16, *17 *18
Attachments:
FileDescriptionFile size
Download this file (8.9.1.notes.linear.graphs.pdf)8.9.1.notes.linear.graphs.pdf 1926 kB

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