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

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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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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?

Why assess?Purpose

Who uses results

Assess What?Clear Learning Targets

Clear and goodSkills, vocabulary, et.

Assessment Design(how assess)

MethodWritten wellAvoid bias

How to CommunicateResults

How manage?Report results to who?

determines determines

Need to Decide

Assessment