Course Map
This Course:
Teacher:
Algebra I
Mona Schraer
includes
Curriculum Resources
Problem Solving
Guess and check
Algebra
Connections
Cognitive Tutor
1. Test Review
1. Reflective Writing
1. Turn Talk
2. Unit Organizer
2. Cornell Notes
2. Team Work
3. Cognitive Tutor 3. Problem Solving
3. White Board
Drawing a graph
Working backwards
Collecting data
4. Clickers & Slides
Finding patterns
4
Problem Solving:
Chapter 1 (3 wks)
Critical Concepts
Factor Quadratics
Algebraic properties
Solve linear equations
Inequalities
Equation of a line
Graph equations
Exponential equations
exponents
square roots
systems of linear equations
slope
solve graphically
quadratic equations
real numbers
Inequalities:
Learned in these
Units
Chapter 9
Solving Equations:
Quadratics:
chapter 8
Chapter 2 (3 wks)
Extension: solving
for x using opp.
Oper & formal
proportions
Graphs and
Equations:
Chapter 3
Slope:
Chapter 7
y=mx+b:
Chapter 4
Proportions:
Chapter 5
Systems of
equations:
Chapter 6
The
Teacher: Ms. Schraer
Course Organizer
Time:
This Course:
is
about
Algebra One
Using Algebraic tools to set up and solve different types of
expressions, equations, and inequalities with variables and numbers
and then demonstrating solutions mathematically and graphically.
Course Questions:
1.
How can data be used to solve a problem
2.
What is the relationship between an equation and its
graph?
Student:
Course Dates:
Course Standards:
Course Assessments:
Content & Process:
Concept Mastery
Practice
Application
Math Writing
exams
clswk & hmwk
problem solving
journal & notes
Day
50%
25%
15%
10%
Activity
Monday
Turn in weekly
work
3.
How can I write and simplify algebraic equations?
4.
How can data be represented in multiple forms
Tuesday
Notes
5.
How can I solve linear proportional and quadratic
equations?
Wednesday
World Cup
Cognitive Tutor
6.
What steps do you take to solve word problems?
Thursday
Quiz
7.
How do you determine the best method for solving
systems of equations?
Friday
Mr. Winn
Cognitive Tutor
8.
How do you determine the most effective way to solve
quadratic equations?
The Unit Organizer
ALGEBRA I
CURRENT UNIT
Current Unit:PROBLEM
SOLVING:
Last Unit:SCIENTIFIC NOTATION
NAME
DATE
CH 1
Next Unit:SOLVING EQUATIONS
GUESS AND CHECK: 1.2.1
WORKING BACKWARDS
The Apartment
That involve
Solve complex problems using
guess and check
Analyze multiple strategies for
organizing their guesses
Make a guess and check table
Making ratios
Then using these ratios to
build proportions and solve
problems
That involve
No specific section - problems
threaded throughout.
Teacher version
DRAWING A GRAPH:1.1.2
Eucalyptus Grove
FINDING PATTERNS: 1.1.4
Tile Patterns
COLLECTING DATA:1.1.3
Newton’s Revenge
Labeling and reading points
Identify linear patterns
Using scatter plots for organizing data
and making predictions
A point conveys two pieces of
information
Extend a tile pattern
Continuous graph conveys a
trend
Generalize the geometric
description of the pattern
Unit Questions:
What is algebra?
How can I solve a problem that I have never seen before?
How can I organize my work?
How can I describe my process?
It is important to scale the axis of a
graph
NAME
DATE
Student version
The Unit Organizer
Algebra
2
Student
Activities or
Assignments
LAST UNIT
CURRENT
UNIT UNIT
CURRENT
1
Problem Solving
NEXT UNIT
Chapter 2: Proportions
3
Guess & Check
Working Backwards
Such as
Methods for
solving problems
Such as
Such as
Such as
Such as
UNIT SELFTEST
QUESTIONS
Drawing A Graph
Collecting Data
How can I solve a problem I have never seen before?
How can I organize my work?
How can I describe my process?
What is Algebra?
Finding a Pattern
The Unit Organizer
4
NAME
DATE
BIGGER PICTURE
Algebra I
LAST UNIT/Experience
2
Problem Solving
8
Student Activities
or Assignments
Graphs and Equations
Solving Equations: Chapter 2
5
NEXT UNIT/Experience
3
CURRENT
CURRENT
UNIT UNIT
1
UNIT MAP
Proportions
Simplify Expressions with tiles
Algebra Tiles
When you
Using variables
in
Tile Poster
When you
Cognitive Tutor
Compare expressions using tiles
Unit 5
to
to
Solve equations with algebraic
steps
How can I get x alone?
How can I solve for a variable?
How many different ways can I write an expression?
Is there more than one way to simplify?
Make
connections
Generalizing
and extending
6
UNIT
7
What is a variable?
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
Solve equations
with tiles
NAME
DATE
The Unit Organizer
Algebra I
2
LAST UNIT/Experience
Variables & Proportions
Student Activities
or Assignments
Systems of Equations
Graphing: Chapter 3
5
UNIT MAP
Tables
Number of Solutions
Representing
Data
with
With a
Used for
with
with
Solving Equations
Graphs
Equations
How do you represent a situation using a table, an equation, and a graph?
How do you choose the appropriate scale for your graph?
What does it look like graphically when something has a solution and what does it mean for an
equation to have no solution?
How do you determine the number of solutions to an equation.
Make
connections
Generalizin
g and
extending
6
UNIT
7
How do you find an equation from a table?
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
8
NEXT UNIT/Experience
3
CURRENT
CURRENT
UNIT UNIT
1
The Unit Organizer
NAME
DATE
BIGGER PICTURE
Algebra I
LAST UNIT
Linear Relationships
Student Activities or Assignments
NEXT UNIT
CURRENT
CURRENT
UNIT UNIT
Chapter 4: Multiple Representations
UNIT MAP
Slope: Represented
3 ways
Tile Pattern Challenge
Math Web Poster
Which
Have a
Proportions
With
a
Linear Equations &
Systems
Where
You can
Starting Point: b
Linear Equation Essay
Shown
On a
Algebraic Solution for
a Linear System
With
the
Shown
On a
Point of Intersection of
a linear system
UNIT SELF-TEST
QUESTIONS
Finding y=mx+b
Math Web
What do m & b tell you about a pattern or graph?
How do you know if your equation is correct?
How do you write an equation from a word problem?
How do you find the point where two lines intersect?
How do patterns show up in an equation, table, and graph?
Graph
Final Thoughts…
The Unit Organizer
NAME
DATE
BIGGER PICTURE
Algebra I
LAST UNIT
Linear Systems
Student Activities or Assignments
CURRENT
CURRENT
UNIT UNIT
Chapter 5: Multiplication and Proportions
UNIT MAP
Area Sum and
Product
using
Simplifying Algebraic
Equations
So you can
NEXT UNIT
Linear Systems
Proportions
That
involve
That involve
So you can
UNIT SELF-TEST
QUESTIONS
Solve one variable
Equations
Solve for Y
How can I write area in different ways?
How do I distribute an algebraic expression?
How do I slve mulit-variable equations for one of the variables?
How do I write and solve equations with equivalent ratios?
Multiplying Binomials
Final Thoughts…
The Unit Organizer
NAME
DATE
BIGGER PICTURE
Algebra I
LAST UNIT
NEXT UNIT
CURRENT
CURRENT
UNIT UNIT
Multiplication and Proportions
Chapter 6: Systems of Equations
Quadratics
Student Activities or Assignments
Substitution cards
Essay
Writing Mathematical
Sentences from real
life situations
by
Solving any
system
That has a
By
Choosing the Best
Method
Using
Using
UNIT SELF-TEST
QUESTIONS
Graphical Solution
Substitution
Elimination
Final Thoughts…
What does a solution to a system of equations represent?
How can I check my answer?
How do I know when there is no solution or infinite solutions to a system?
How do you choose the best method for solving a linear system?
The Unit Organizer
NAME
DATE
BIGGER PICTURE
Algebra I
LAST UNIT
Chapter 8
Linear Systems
Student Activities or Assignments
NEXT UNIT
CURRENT
CURRENT
UNIT UNIT
Inequalities
UNIT MAP
Equation
Which
Have an
Factoring Diamond
Which are
found in
Quadratics
That look
Like a
Quadratic Web
Parabola
Real Life
Which
Use the
Quadratic Formula
Which
involve
Factoring
That use
the
Zero Product
Property
Where
You can
Find Solutions
Line Factory
UNIT SELF-TEST
QUESTIONS
Bridge Project
How do you factor a quadratic expression completely?
How do you know if there are roots to a quadratic equation?
How do you find the roots of a quadratic equation?
How can you predict what a parabola will look like?
How can you find the equation of a parabola?
What is special about zero?
Make
connections
Generalizing
Extending
Applying
The Unit Organizer
NAME
DATE
BIGGER PICTURE
Algebra I
LAST UNIT
Quadratics
Student Activities or Assignments
Human Number LIne
NEXT UNIT
CURRENT
CURRENT
UNIT UNIT
Chapter 9: Inequalities
Geometry
That
are
That
are
UNIT MAP
One Variable
Solving
Linear Systems
Inequalities
That
have
Perfect Graph
Two Variables
That are
On
Graphs
UNIT SELF-TEST
QUESTIONS
All Graphs Poster
How do you write inequalities to represent a word problem?
How do you solve inequalities and represent the solution on a number line?
How do you represent the solution of a linear inequality on a graph?
Make
connections
Generalizing
Extending
Applying
How do you graph a system of inequalities?
Assessment
Assess What?
Clear Learning Targets
Clear and good
Skills, vocabulary, et.
Why assess?
Purpose
Who uses results
determines
determines
Assessment Design
(how assess)
Method
Written well
Avoid bias
Need to Decide
How to Communicate
Results
How manage?
Report results to who?