Transcript Content Enhancement

Catherine Inman
Content Enhancement Final Project
EDSP 404
Grade Level: Algebra 1 (9th – 12th grade)
SOL:
Remember to print: http://www.doe.virginia.gov/VDOE/Instruction/Math/curriculum_framework_2009/algebra1cf.pdf
NAME
The Unit Organizer
4
BIGGER PICTURE
DATE
Linear Functions
2
LAST UNIT /Experience
8
UNIT SCHEDULE
CURRENT
CURRENT
UNIT UNIT
1
Graphing Relations and
Functions
5
Analyzing Linear Equations
3
NEXT UNIT /Experience
Solving Linear Inequalities
UNIT MAP
Slope
Direct Variation
Graphing and Writing
Equations using
formulas
Quiz
pp. 256 - 314
Slope-intercept
Exploring Activity
Slope
Point-slope
Exploring Activity
By applying
Quiz
Parallel lines
Parallel and
Perpendicular Lines
Slope-Intercept form
Perpendicular lines
Quiz
Point-slope form
Review
•Describe what is slope?
•How would you relate slope to climbing a mountain?
•Compare and contrast point-slope and slope-intercept form.
•Compare and contrast parallel and perpendicular lines?
Solve
Graph
Manipulate
UNIT
7
6
Identify
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
Unit Test
The Unit Organizer
9
Expanded Unit Map
Rise
over run
Linear Functions
Slope
Graphing and Writing
Equations using
formulas
pp. 256 - 314
y2 – y1
=m
x2 – x1
By applying
y = mx + b
Slope-Intercept form
Point-slope form
y – y1 = m(x – x1)
NEW
UNIT
SELF-TEST
QUESTIONS
10
NAME
DATE
Parallel and
Perpendicular Lines
m=m
m = -1/m
The FRAME Routine
Key Topic
Slope-Intercept Form
is about…
A linear equation written in the form y = mx+b.
Main idea
Main idea
Slope
Essential details
What Change in y’s over change in x’s.
is it?
Rise over run.
Can
find
it by:
Where in
the
equation
Is it
constant
y2 – y1
y - intercept
Variables
Essential details
Essential details
Where the graph crosses
the y-axis.
Find y
where
x=0
=m
x2 – x1
Represented by “m” in the
equation y = mx+b.
Slope is constant only in a linear
equation
Main idea
Coordinate points
These numbers will vary. Can
find only one if given the other.
Represented by “b” in the
equation y = mx + b.
Represented by “x” and “y”
in the equation y = mx + b.
Always one constant number in
a linear equation
The coordinate points will
change
So What? (What’s important to understand about this?)
This will help make graphing and solving linear equations easier. Linear equations are used to model things
over time such as distance over time or cost over time (speed and inflation).


Slope
Coordinate point 
Variables x, y 

Key Words
Negative
numbers
Positive
numbers
Zero slope
Undefined
slope
cubic
(y-5)=6(x-2)
y - intercept
y = 5x+3
2x + 3y = 10
CONVEY CONCEPT
Point – Slope Form
OFFER OVERALL
CONCEPT
CONCEPT DIAGRAM

Linear Equations

NOTE KEY WORDS
CLASSIFY
CHARACTERISTICS
Always Present
Slope
Sometimes Present
Negative numbers
(Known) Coordinate point
Variables x, y
Positive numbers
Never Present
Undefined slope
cubic
Zero slope
y - intercept

EXPLORE EXAMPLES
2x + 3y = 10
Examples:
Nonexamples:
(y-5)=6(x-2)
y = 5x+3
(y-7)=2(x-3)
2x + 3y = 10
(y-7)=2(x-3)
(y+4)=.5(x-2)
(y+4)=.5(x-2)
(y-2)=1(x+0)
y=7
(y-2)=1(x+0)
13,000


y=7
13,000
PRACTICE WITH NEW EXAMPLE
TIE DOWN A
DEFINITION
Point – Slope Form is a type of linear equation that uses a known coordinate,
slope and variables x and y.
LINCS Tables
1
Term
Slope
3
4
Term
Direct Variation
3
4
Reminding Word
Term
Constant of variation
3
4
Reminding Word
Term
Family of graphs
3
Reminding Word
Famine
List the parts
2
LINCing Picture
2
4
5
LINCing Story
LINCing Picture
The group of farmers
had a severe famine
that year.
Identify a remaining word
Definition
Definition
The number k in
equations of the
form y = kx.
Cindy had to construct
the letter k a number of
times.
Construct
1
LINCing Picture
An equation of the
form y = kx where k is
a non-zero constant.
5
LINCing Story
Definition
Ratio of the change in y to
the change in x.
5
LINCing Story
2
Sarah had to select
the correct form for
her paper.
Select
1
LINCing Picture
Timmy had hope
that his grade
would change.
Reminding Word
Hope
1
5
LINCing Story
Note a LINCing story
2
Definition
A group of graphs or
equations of graphs with
at least one characteristic
in common.
Create a LINCing picture
Self-test