Unit 4
Topic/Content
Work
Nov
16
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Student discovery exercise: Exploring m and b
Determining the equation of a line from its graph
Extra practice on tables: PIZZAZ C-36: Zorna &
Ketchup
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Exploring m and b
Finding Equations of Lines
PIZZAZ C-36: Zorna &
Ketchup
Nov
17
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Equations of vertical and horizontal lines
Mix & match lines & equations without a grid – compare
amount of slope to distinguish lines
Graphing equations of a line using m and b
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Special Graphs are Easy
Naming Equations of Lines
Graph Plotting Using m and
b
PIZZAZ C-44: Ape & Grape
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Nov
18
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Determining the equation of a line graphically given
coordinates of 2 points on the line
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Nov
19
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Nov
20
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Nov
23
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Plotting a line using slope and y-intercept rather than a
table of values
Determining slope when the horizontal and vertical
scales differ
Application problems involving slope and equations of
lines
Review the concept that a slope represents a rate of
change
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Canada’s Wonderland Scatter Plot
o Reinforcing previous concepts
o EQAO style question
Student discovery exercise on parallel and
perpendicular lines
o also vertical and horizontal line equations are
reinforced
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Reinforce methods of determining slope and
recognizing parallel and perpendicular lines
Plotting lines accurately using slope and y-intercept
o draw several run-rise triangles in succession
o apply to determining points of intersection of 2
lines graphically
Determining whether a point is on a line – graphically &
algebraically
Points of intersection must satisfy the equations of both
lines
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Plot & Name the Line
Extra Practice: Slope
Naming Equations of Lines
(2)
PIZZAZ C-45: Borrow
Money
PIZZAZ C-44: Ape & Grape
Finding m and b at Different
Scales
Applications of Linear
Equations
Canada’s Wonderland
Scatter Plot
Investigating Slopes
Parallel & Perpendicular
Lines
Determining Points of
Intersection Graphically
Checking Points
Nov
24
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Application of point of intersection: Break-Even
Problems
o continue to emphasize slope as a rate of
change
o informally discuss concept of restricting the
domain to meaningful values
 gasoline in a tank cannot be negative
 cost often cannot be negative
 time often cannot be negative
Equations of lines where m and b must be estimated
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Points of Intersection: Cost
Comparison
Analyzing Systems of
Equations
Textbook
o p 348 C2, #2, 7, 9-11,
13
Nov
25
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Interpolating from graphs
Estimating point of intersection
Explaining the meaning of the break-even point
Explaining what the slope represents
Comparing direct and partial variation graphically and
using the equation
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Mr. Choi’s Garden
The Holland Marsh
Direct and Partial Variation
Nov
26
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Completing a table of values when substituting y instead
of x
Completing a table of values when substituting y and x
Rules for standard form and rearranging equations into
proper standard form
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Tables of Values with
Rearranging
Solving Equations – Table
of Values
Standard Form
Conversion between Standard and Slope-y-Intercept
forms
Determining x-intercept and y-intercept algebraically
Checking whether a point is on a line  satisfies
equation
2 lines intersect when x=x and y=y
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Intercepts & Standard Form
Determining Points of
Intersection #1–4
Algebraic determination of points of intersect –checking
answers algebraically by setting one equation equal to
another (method of comparison)
Algebraic solution of Break-Even Problems
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Determining Points of
Intersection #5–6
Cost Comparison Problems
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Nov
30
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Dec 1
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Dec 2
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Determining points of intersection algebraically  pointslope problems
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Determining Equations of
Lines Algebraically #1-5
Dec 3
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Determining points of intersection algebraically  2
point problems
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Determining Equations of
Lines Algebraically #6-8
Determine Linear Equations
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Dec 4
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Review
Dec 7
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Review (MATHO: optional)
Dec 8
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Test