Unit Organizers
feel free to expand, edit, or
transform any of these for your own
use.
Algebra I-2 Course Map
Mathematical Practices
1.
2.
3.
4.
5.
6.
7.
8.
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively
Construct viable arguments and critic the reasoning of
others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Descriptive Statistics
Modeling Stats Data
(suppl: 1 variable)
Modeling Stats Data
(suppl: 2 variable)
Linear and Exponential Relationships
Representing Linear
Relationships with graphs,
tables,and equations
Representing Exponential
Functions
(chapter 4 & 7)
(Chapter 11 & Algebra 3-4
book: ch 2&3)
Comparing Linear,
Quadratic, and Exponential
functions
Critical Concepts
Expressions and Equations
Solving Systems
of equations
(chapter 6)
Quadratic Functions and
Modeling
Graphing and Factoring
Quadratic Equations
(chapter 8 )
Solving and graphing
Inequalities and
systems of inequalities
Relationships between
Quantities and Reasoning with
Equations
Create equations
using multiple
representations
(chapter 2,3,4)
Solving Linear Equations &
Quadratics when x^2
cancels out
(chapter 1-3 & 5)
(Chapter 9)
Simplifying and Solvng
complex algebraic
equations
(chapter 10)
Solving Complex Proportions
and Converting Units
(chapter 5 & suppl: dimensional
analysis)
The Unit Organizer
ALGEBRA 1-2
LAST UNIT
NEXT UNIT
CURRENT
CURRENT
UNIT UNIT
none
statistics: one variable
Representing Functions
Supplemental Activities
Graphical
Representations:
Histogram
Box plot
Line plot
Interpreting the Shape
Data
Distribution
Standard deviation
Outlier
Spread
Center
Summary statistics:
UNIT SELF-TEST
QUESTIONS
Mean
Median
Mode
Range
Outlier
Background knowledge
1.
2.
3.
4.
5.
Why would you want to use a histogram instead of line plot?
What measure of center is most useful for categorical data and why?
When would you use median instead of mode or mean to measure the center?
How could you describe a data set? What tools would you use?
What does the shape of the graph tell you about the data?
The Unit Organizer
ALGEBRA 1-2
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NEXT UNIT
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CURRENT
UNIT UNIT
Statistics
Multiplication
Representing Functions
Supplemental Activities
Table
Graphs, Tables, and
Equations
Graph
Coordinate pair
Independent variable
Dependent variable
Origin
x and y axis
quadrants
UNIT SELF-TEST
QUESTIONS
Web: How they all
relate
Situation
Table
Graph
Equation
Equations
Linear
Exponential
Quadratic
m&b
Background knowledge
1.
2.
3.
4.
How do you identify growth in a table, graph, and an equation?
How do you find the initial value (constant) in a table, graph, and an equation?
How do you write an equation from a graph? A table?
How do you make a table?
The Unit Organizer
ALGEBRA 1-2
LAST UNIT
NEXT UNIT
CURRENT
CURRENT
UNIT UNIT
Representing Functions
Multiplication: chapter 5
Proportions
Supplemental Activities
Area Sum & Area
Product
Representing equations
in different forms
Slope Intercept
Form
Algebra Tiles
Generic Rectangles
UNIT SELF-TEST
QUESTIONS
Distributive Property
1.
2.
3.
4.
Factors
How do use distribution to rewrite an expression?
How do you know when two terms have a common factor?
How do you find factors of an expression that has numbers and variables?
How do you solve multi-variable equation for one variable?
Standard Form
Background knowledge
The Unit Organizer
ALGEBRA 1-2
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NEXT UNIT
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CURRENT
UNIT UNIT
Multiplication
System of Equations
Proportions
Supplemental Activities
Story of Eli:
http://blog.mrmeyer.com
/?p=8154
Ratio
Proportions in the
Real World
Solve for Variables using
proportions
Formats (colon,
fraction, word)
Unit Conversions
Yertle Turtle:
http://10minutemath.blo
gspot.com/search?q=tur
tle
Direct Variation
Solving proportions with
expressions
Similarity
UNIT SELF-TEST
QUESTIONS
Cross multiplying
Background knowledge
1.
2.
3.
4.
What is direct variation?
How do you convert units?
How do you set up a proportion?
How do you know when proportion is the proper method for solving a problem?
The Unit Organizer
ALGEBRA 1-2
LAST UNIT
Proportions
NEXT UNIT
CURRENT
CURRENT
UNIT UNIT
systems of equations: chapter 6
Linear Relationships
Supplemental Activities
Write an equation
from a situation
UNIT SELF-TEST
QUESTIONS
Define a Variable
Identify initial value
and slope
1.
2.
3.
4.
5.
No solution & All
Numbers
Solving for (x,y)
Parallel lines
Coincide
Substitution
Graphing
Elimination
Equal Values
Check solution
intersect
scalar multiplication
What does the solution of a system of equations represent?
How can you tell when a system has no solution or infinite solutions?
When would you want to use elimination instead of substitution?
Why is it better to solve a system algebraically rather than graphically?
How do you check a solution to a linear system?
Background knowledge
The Unit Organizer
ALGEBRA 1-2
LAST UNIT
NEXT UNIT
CURRENT
CURRENT
UNIT UNIT
linear systems
Linear Relationships: chapter 7
Statistics
Supplemental Activities
Finding Slope
Slope of Parallel
and Perpendicular
Lines
Slope
UNIT SELF-TEST
QUESTIONS
Graph
Equation
Two Points
1.
2.
3.
4.
Reciprocal
opposite
Trend lines
Rates of Change
Finding an Equation
Prediction
Δ y/ Δ x
Positive
Negative
zero
undefined
Slope and a point
Two points
From a Graph
From a table
How to find the slope of a line given its equation its graph, or any two points on a line?
How are slopes of parallel and perpendicular lines related?
How do you find the slope of a line without graphing it?
Name three considerations in deciding where to put a trend line?
Background
knowledge