Curriculum Resources

1
Teacher Mona Schraer
Course Map
This Course
Algebra I
includes
Problem Solving
Curriculum Resources

Guess and check Drawing a graph Working
backwards Collecting data Finding patterns
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 4. Clickers
Slides
4
Critical Concepts
Factor Quadratics exponents Algebraic
properties square roots Solve linear
equations systems of linear equations Inequalities
slope Equation of a line solve
graphically Graph equations quadratic
equations Exponential equations real numbers
Problem Solving Chapter 1 (3 wks)
Inequalities Chapter 9
Learned in these Units
Solving Equations Chapter 2 (3 wks) Extension
solving for x using opp. Oper formal proportions
Quadratics chapter 8
Slope Chapter 7
Proportions Chapter 5
Systems of equations Chapter 6
ymxb Chapter 4
Graphs and Equations Chapter 3
2
The Course Organizer
Teacher Ms. Schraer
Student
Time
Course Dates
Course Standards
This Course
Algebra One

• Course Assessments
• Content Process
• Concept Mastery exams 50
• Practice clswk hmwk 25
• Application problem solving 15
• Math Writing journal notes 10

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.
is about
Course Questions

1. How can data be used to solve a problem
2. What is the relationship between an equation and
   its graph?
3. How can I write and simplify algebraic equations?
4. How can data be represented in multiple forms
5. How can I solve linear proportional and quadratic
   equations?
6. What steps do you take to solve word problems?
7. How do you determine the best method for solving
   systems of equations?
8. How do you determine the most effective way to
   solve quadratic equations?

Day Activity
Monday Turn in weekly work
Tuesday Notes
Wednesday World Cup Cognitive Tutor
Thursday Quiz
Friday Mr. Winn Cognitive Tutor
3
NAME
The Unit Organizer
ALGEBRA I
DATE
Last UnitSCIENTIFIC NOTATION
Current UnitPROBLEM SOLVING CH 1
CURRENT UNIT
Next UnitSOLVING EQUATIONS
is about...

GUESS AND CHECK 1.2.1 The Apartment Solve
complex problems using guess and check Analyze
multiple strategies for organizing their
guesses Make a guess and check table
WORKING BACKWARDS No specific section -
problems threaded throughout.

Making ratios Then using these ratios to build
proportions and solve problems
That involve
That involve
That involve
That involve
Teacher version
DRAWING A GRAPH1.1.2 Eucalyptus Grove Labeling
and reading points A point conveys two pieces of
information Continuous graph conveys a trend
COLLECTING DATA1.1.3 Newtons Revenge Using
scatter plots for organizing data and making
predictions It is important to scale the axis of
a graph
FINDING PATTERNS 1.1.4 Tile Patterns Identify
linear patterns Extend a tile pattern 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?
4
Student version
NAME
The Unit Organizer
DATE
Algebra
NEXT UNIT
CURRENT UNIT
LAST UNIT
3
2
CURRENT UNIT
1
Problem Solving
Chapter 2 Proportions
Student Activities or Assignments
is about...
Guess Check
Working Backwards

Such as
Such as
Methods for solving problems
Such as
Such as
Such as
Drawing A Graph
Finding a Pattern
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?
UNIT SELF-TEST QUESTIONS
5
NAME
The Unit Organizer
BIGGER PICTURE
4
DATE
Algebra I
NEXT UNIT
/Experience
LAST UNIT
/Experience
3
2
CURRENT UNIT
CURRENT UNIT
1
Problem Solving
Solving Equations Chapter 2
Graphs and Equations
Student Activities or Assignments
is about...
UNIT MAP
8
5
Proportions

• Simplify Expressions with tiles

Algebra Tiles Tile Poster Cognitive Tutor Unit
5
Using variables
in
When you
When you
to
to
Solve equations with algebraic steps
Compare expressions using tiles
Solve equations with tiles
What is a variable? 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?
6
Make connections Generalizing and extending
UNIT SELF-TEST QUESTIONS
UNIT
RELATIONSHIPS
7
6
NAME
The Unit Organizer
DATE
Algebra I
NEXT UNIT
/Experience
LAST UNIT
/Experience
3
2
CURRENT UNIT
CURRENT UNIT
1
Variables Proportions
Graphing Chapter 3
Systems of Equations
Student Activities or Assignments
is about...
UNIT MAP
8
5

• Tables

Number of Solutions
Representing Data
With a
with
Used for
with
with
Solving Equations
Graphs
Equations
How do you find an equation from a table? 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 Generalizing and extending
6
UNIT SELF-TEST QUESTIONS
RELATIONSHIPS
UNIT
7
7
NAME
The Unit Organizer
BIGGER PICTURE
DATE
Algebra I
NEXT UNIT
LAST UNIT
CURRENT UNIT
CURRENT UNIT
Linear Relationships
Chapter 4 Multiple Representations
Proportions
UNIT MAP
is about...
Student Activities or Assignments
Slope Represented 3 ways
Algebraic Solution for a Linear System
Linear Equations Systems
Which Have a
With a







Tile Pattern Challenge
Math Web Poster
Where You can
With the
Shown On a
Shown On a
Starting Point b
Linear Equation Essay
Point of Intersection of a linear system

Graph
Math Web
Finding ymxb
Final Thoughts
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?
UNIT SELF-TEST QUESTIONS
8
NAME
The Unit Organizer
BIGGER PICTURE
DATE
Algebra I
NEXT UNIT
LAST UNIT
CURRENT UNIT
CURRENT UNIT
Linear Systems
Chapter 5 Multiplication and Proportions
Linear Systems
UNIT MAP
is about...
Student Activities or Assignments
Area Sum and Product
Proportions
Simplifying Algebraic Equations
using







That involve
So you can
That involve
So you can

Multiplying Binomials
Solve for Y
Solve one variable Equations
Final Thoughts
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?
UNIT SELF-TEST QUESTIONS
9
NAME
The Unit Organizer
BIGGER PICTURE
DATE
Algebra I
NEXT UNIT
LAST UNIT
CURRENT UNIT
CURRENT UNIT
Multiplication and Proportions
Chapter 6 Systems of Equations
Quadratics
is about...
Student Activities or Assignments
Writing Mathematical Sentences from real life
situations
Choosing the Best Method
Solving any system
by
Substitution cards
Essay





By
That has a
Using
Using

Elimination
Substitution
Graphical Solution
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?
UNIT SELF-TEST QUESTIONS
10
NAME
The Unit Organizer
BIGGER PICTURE
DATE
Algebra I
NEXT UNIT
LAST UNIT
CURRENT UNIT
CURRENT UNIT
Linear Systems
Chapter 8
Inequalities
UNIT MAP
is about...
Student Activities or Assignments
Equation
Real Life
Quadratics
Which Have an
Which are found in




Factoring Diamond
That look Like a
Which Use the
Quadratic Formula
Parabola
Quadratic Web
Which involve
Where You can
That use the
Zero Product Property
Factoring
Find Solutions
Line Factory
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
UNIT SELF-TEST QUESTIONS
11
NAME
The Unit Organizer
BIGGER PICTURE
DATE
Algebra I
NEXT UNIT
LAST UNIT
CURRENT UNIT
CURRENT UNIT
Quadratics
Chapter 9 Inequalities
Geometry
UNIT MAP
is about...
Student Activities or Assignments
Linear Systems
Solving Inequalities
That are
That are




One Variable
Human Number LIne
That have
That are On
Perfect Graph
Two Variables
Graphs
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? How do you graph a system of
inequalities?
Make connections Generalizing Extending Applying
UNIT SELF-TEST QUESTIONS
12
Assessment
Why assess? Purpose Who uses results
Assess What? Clear Learning Targets Clear and
good Skills, vocabulary, et.
determines
determines
Assessment Design (how assess) Method Written
well Avoid bias
Need to Decide
How to Communicate Results How manage? Report
results to who?