Unit 4 – Graphing and Analytic Geometry
Learning Goals: By the end of the unit I will be able to...
- construct tables of values, graphs and equations
- compare the properties of direct variation and partial variation in applications, and identify the initial value
- determine slope
- understand the relationship between rate of change and slope
- determine using first differences the nature of the relation
- express the equation of a line in any of the forms y = mx + b, Ax + By + C = 0, x = a, y = b
- identify the geometric significance of m and b in the equation y = mx + b
- graph lines by hand, using a variety of techniques
- determine the equation of a line from information about the line
- determine graphically the point of intersection of two linear relations, and interpret the intersection point in the context of an
application
Date
Mon.
April 8
Tues.
April 9
Wed.
April 10
Thurs.
Apr. 11
Topic
5.1/5.2 Direct and Partial
Variation
5.3 Slope
5.4 Rate of Change
Literacy Test
Fri.
April 12
QUIZ – (slope,
direct/partial variation)
5.5 First Differences
Mon.
April 15
5.6 Connecting
Tues.
April 16
6.1 Equation of a Line in
y = mx +b
Wed.
April 17
Thurs.
April 18
Fri.
April 19
Mon.
April 22
Tues.
April 23
Wed.
April 24
QUIZ – (connecting)
6.1Graph Equation of a
Line in y=mx+b
6.2 Equation of a Line in
Ax+By+C =0 form
Learning Goals: By the end of today I will
be able to...
Compare the properties of direct and partial
variation
Identify the initial value
Calculate slope
Understand the relationship between slope
and rate of change
No School
Calculate first differences
Determine the type of relation using first
differences
Understand the relationships between graphs,
situations, rate of change and slope
Graph a line using the equation in y = mx+b
form
Graph a line given the equation
Determine the equation of a line in
Ax+By+C = 0 form
Homework Practice
Pg. 242 #1,3,13
Pg. 250 C1 #1,2,9
Pg. 259 #1,2,4,5,6,14
Pg. 267 C2 #1-7,10,14,20
Extra help in the afternoon
Pg. 275 C1 #1, 2ab,3,4,5a,6
Pg. 284 C3 #1-4,6,7,9,10,13
p. 303 #C1-C3, 1ad,2ad,3ad,4ac, 11,
14
Pg. 305 #6,8,10
Graphing Worksheet
p. 312 C1 #1,3,4,6,7,11
PD Day
6.3 Graph a Line Using
Intercepts
6.4 Parallel and
Perpendicular Lines
QUIZ – (standard form,
graphing using intercepts,
parallel and perpendicular
slopes)
6.5 Find an Equation given
Slope & a Point
Draw a graph of a line using the intercepts
Use slope to determine parallel and
perpendicular lines
Determine the equation of a line given the
slope and a point
p.319 C1,C2,C3
#1,2a,3aceg,4ab,5,7,9,11
p.327 #3,4,5,8,9 pg. 305 #7
p.335 C1 #1ace,2-7
Date
Thurs.
April 25
Fri.
April 26
Mon.
April 29
Tues.
April 30
Wed.
May 1
Thurs.
May 2
Fri.
May 3
Mon.
May 6
Tues.
May 7
Topic
6.6 Find the Equation
given 2 Points
Equation of a Line
Assignment – intro and
work period
Group activity – Equation
of a line (success criteria,
graphic organizer, answer
questions)
Review
QUIZ
Linear Systems – graph
and find POI
Linear Systems – Interpret
and create eqn’
Review
Review – take up
UNIT 4 TEST
Learning Goals: By the end of today I will be
able to...
Determine the equation of a line given 2 points
Practice
p.341 C1 #1ad,2-4,6,7
Demonstrate my understanding of determining
an equation for a line
Demonstrate my understanding of determining
an equation for a line
Demonstrate my understanding of determining
an equation for a line
Determine the point of intersection of two lines
on a graph
Apply the POI to linear systems
Hand in Equation of a Line
Assignment 1st round
p.348 C2 #1,2a, pg. 251 #6
extend: p.348 #13, 14
Consolidate my understanding of equations of
lines and linear systems
p.352-355
Hand in 2nd round –Equation of a
Line
Consolidate my understanding of equations of
lines and linear systems
Demonstrate my understanding of equations of
lines and linear systems
Pg. 350 #9,11,12
EXAM Review chpt 4-6
Linear Systems Assignment Due
Next Class