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Transcript of Curriculum Resources Course Map This Course: includes Problem Solving Teacher: Mona Schraer Critical...
Curriculum Resources
Course Map This Course:
includesProblem Solving
Teacher: Mona Schraer
Critical Concepts4
Algebra I
Algebra Connections
Cognitive Tutor
Guess and check
Drawing a graph
Working backwards
Collecting data
Finding patterns
Problem Solving: Chapter 1 (3 wks)
Solving Equations:
Chapter 2 (3 wks)
Extension: solving for x using opp. Oper & formal
proportions
y=mx+b: Chapter 4
Proportions: Chapter 5
Systems of equations: Chapter 6
Slope:
Chapter 7
Factor Quadratics exponentsAlgebraic properties square rootsSolve linear equations systems of linear equationsInequalities slopeEquation of a line solve graphicallyGraph equations quadratic equationsExponential equations real numbers
Graphs and Equations: Chapter 3
Inequalities:
Chapter 9Learned in these
Units
Quadratics: chapter 8
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
Teacher: Ms. Schraer
Time:
The
Course OrganizerStudent:
Course Dates:
This Course:
Course Questions:
isabout
Course Standards: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.
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?
Course Assessments:
Content & Process:
Concept Mastery exams 50%
Practice clswk & hmwk 25%
Application problem solving 15%
Math Writing journal & notes 10% Day Activity
Monday Turn in weekly work
Tuesday Notes
Wednesday World Cup
Cognitive Tutor
Thursday Quiz
Friday Mr. Winn
Cognitive Tutor
NAMEDATEThe Unit Organizer
CURRENT UNIT
is about...
Last Unit:SCIENTIFIC NOTATION Next Unit:SOLVING EQUATIONS
ALGEBRA I
That involve
That in
volve
That involve
Unit Questions:
Current Unit:PROBLEM SOLVING: CH 1
That involve
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
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?
DRAWING A GRAPH:1.1.2Eucalyptus Grove
Labeling and reading points
A point conveys two pieces of information
Continuous graph conveys a trend
COLLECTING DATA:1.1.3Newton’s Revenge
Using scatter plots for organizing data and making predictions
It is important to scale the axis of a graph
WORKING BACKWARDS
No specific section - problems threaded throughout.
FINDING PATTERNS: 1.1.4Tile Patterns
Identify linear patterns
Extend a tile pattern
Generalize the geometric description of the pattern
Making ratiosThen using these ratios to build proportions and solve
problems
Teacher version
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Problem Solving
Algebra
Chapter 2: Proportions
Guess & Check
Collecting Data
Working Backwards
Such as Such as
Such as
Drawing A Graph
Such as Such as
Methods for solving problems
Finding a Pattern
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?
Student version
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UNIT MAP
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Algebra Tiles
Tile Poster
Cognitive Tutor
Unit 5
Problem Solving Solving Equations: Chapter 2
Algebra I
Graphs and Equations
Make connections
Generalizing and extending
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?
ProportionsSimplify Expressions with tiles
Solve equations with tiles
Compare expressions using tiles
Using variablesWhen you
When you
to
in
Solve equations with algebraic steps
to
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5
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Variables & Proportions Graphing: Chapter 3
Algebra I
Systems of Equations
Make connections
Generalizing and
extending
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.
Number of SolutionsTables
EquationsGraphs
Representing Data
with
with with
With a
Solving Equations
Used for
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Linear Relationships Chapter 4: Multiple Representations
Algebra I
Graph
Slope: Represented 3 ways
Math Web
WhichHave aTile Pattern Challenge
Math Web Poster
ShownOn a
ShownOn a
Point of Intersection of a linear system
Algebraic Solution for a Linear System
Withthe
Witha
Linear Equation Essay
Proportions
Linear Equations & Systems
WhereYou can
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?
Starting Point: b
Finding y=mx+b
Final Thoughts…
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Linear Systems Chapter 5: Multiplication and Proportions
Algebra I
Multiplying Binomials
Area Sum and Product
Solve for Y
using
So you canThat involve
ProportionsThat
involve
Linear Systems
Simplifying Algebraic Equations
So you can
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?
Solve one variable Equations
Final Thoughts…
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Multiplication and Proportions Chapter 6: Systems of Equations
Algebra I
Elimination
Substitution cards
Essay
Writing Mathematical Sentences from real
life situations
Substitution
by
UsingUsing
Choosing the Best MethodBy
Quadratics
Solving any system
That has a
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?
Graphical Solution
Final Thoughts…
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Linear Systems Chapter 8
Algebra I
Parabola
Factoring Find Solutions
Equation
Zero Product Property
Which involve
WhichHave an Factoring Diamond
Quadratic WebThat use
the
WhereYou can
Quadratic Formula
Real Life
Which Use the
Which arefound in
Line Factory
Bridge Project
Inequalities
Quadratics
That lookLike a
Make connections
Generalizing
Extending
Applying
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?
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Quadratics Chapter 9: Inequalities
Algebra I
Two VariablesGraphs
One Variable
Thathave
ThatareHuman Number LIne
Perfect GraphThat are
On
Linear SystemsThatare
All Graphs Poster
Geometry
Solving
Inequalities
Make connections
Generalizing
Extending
Applying
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?