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Transcript
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 1- Introduction to Algebra
Essential Questions for this Unit:
1. What methods are used to simplify and translate expressions?
2. What methods are used to solve basic equations?
3. How is the “problem solving method” used to evaluate word problems?
Days
Topic
Textbook
Section
1-1 & 1-2
2
Variables & Grouping Symbols
2
Equations & Translating Words into
Symbols
1-3 & 1-4
3
Translating Sentences into
Equations, Translating Problems
into Equations, &
A Problem Solving Plan
1-5, 1-6, &
1-7
1
Number Lines &
Opposites and Absolute Values
1-8 & 1-9
1
2
1
12
Navigator/Springboard Activities
FCAT Review & Chapter Review
Chapter Test
Total Days
Benchmark
Vocabulary
MA.B.1.4.1
MA.D.1.4.1
MA.A.1.4.3
Variable, Simplify, Evaluate, Substitution
Principle, Grouping Symbol
MA.D.2.4.2
MA.A.1.4.4
MA.A.1.4.3
MA.A.1.4.3
MA.A.3.4.1
Equation, Open Sentence, Domain, Solution,
Solve, Formula
MA.A.1.4.2
MA.C.3.4.2
MA.A.1.4.4
MA.A.1.4.1
MA.A.2.4.4
Opposite, Absolute Value, Integers, Whole
Numbers, Real Number
Five Step Plan, Charts
Extensions/Resources
DW Test
Item #s

Order of Operations-Grouping
Symbols pg. T78-79
 OOOPS! Order of
Operations and the TI
graphing calculator
 Number Sense
 Evaluating Simple
Expressions
 Writing Equations pg. T78
 Writing expressions for the
student’s age in terms of x
pg. T79.
 Rewriting Equations in terms
of a specified variable pg.
T79-T80.
 Students write their own word
problems, include solution.
Integers
Fractions Time Line
Real Numbers
Number Sets
Number Sets
First Semester Algebra Basics
1045
1055
Essential Questions for this Unit:
Algebra 1 Honors – Middle School Course Number: 12003208
1. How are the properties of real numbers used to simplify numerical and algebraic expressions?
Algebra
Structure
and Method
2. Materials:
How do the four
operations
and properties
relate to• Book
mental1arithmetic techniques?
Adoption Date: 2004 - 2005
Days
Chapter 2 – WorkingTopic
with Real Numbers Textbook
Section
1
Basic Assumptions & Addition on a
2-1 & 2-2
Number Line
Benchmark
Vocabulary
MA.A.3.4.2
MA.A.3.4.2
MA.A.3.4.3
MA.A.3.4.3
MA.A.1.4.3
MA.A.3.4.1
MA.A.3.4.3
MA.A.3.4.2
MA.A.3.4.1
Closure, Commutative, Associative, Term,
Factor, Reflexive, Symmetric, Transitive
1
Rules for Addition & Subtracting
Real Numbers
2-3 & 2-4
2
The Distributive Property & Rules for
Multiplication
2-5 & 2-6
2
Problem Solving:
Consecutive Integers
2-7
MA.A.3.4.1
MA.D.2.4.2
Consecutive, Odd, Even
2
The Reciprocal of a Number &
Dividing Real Numbers
2-8 & 2-9
MA.A.1.4.4
MA.A.1.4.2
MA.A.3.4.1
Reciprocal (Multiplicative Inverses), Property of
the Reciprocal of a Product
1
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Review
Chapter Test
Total days
2
1
12
Identity Property, Additive Inverse, Property of
the Opposite Sum
Multiplicative Property, Property of Opposites in
Products
Extensions/Resources
DW Test
Item #s

Number lines gain/loss relate
to a football game.
Real Number Properties
 Complete the square activity
on pg. T85
Integers
Mental Multiplication
Multiplication of Integers-Repeated Addition and
Subtraction
 Pass Game-problems on
index cards, students solve in
pairs and pass the card. The
team with the most correct
(showing work) earns a
reward.
Discovering Integer Rules
(Multiplying/Dividing)
Dividing Fractions
Rational Numbers
Florida FCAT Practice Exams
- Grades 6-8 Math
First Semester Algebra Basics
1046
1059
1061
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 3 – Solving Equations and Problems
Essential Questions for this Unit:
1. How do the methods of solving equations utilize the properties of equality?
2. How do charts help solve word problems?
Days
Topic
Textbook
Section
3-1 & 3-2
Benchmark
Vocabulary
MA.A.3.4.1
MA.D.2.4.2
MA.B.1.4.3
MA.C.2.4.1
MA.D.2.4.2
MA.D.2.4.2
Equivalent, Transformation, Addition,
Subtraction, Multiplication and Division Property
of Equality
Empty Set, Null Set, Identity
2
Transforming Equations: Addition,
Subtraction, Multiplication, & Division
3
Using Several Transformations &
Using Equations to Solve Problems
3-3 & 3-4
2
Equations with the Variable on Both
Sides
3-5
MA.A.3.4.2
MA.D.2.4.2
2
2
Problem Solving Using Charts
Cost, Income, and Value Problems
3-6
3-7
MA.D.2.4.2
MA.D.2.4.2
0
1
3-8
2
Proof In Algebra
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
1
15
Chapter Test
Total days
Inverse Operations
Extensions/Resources
DW Test
Item #s
One Step Equations and
Inequalities
Solving Equations with more
than one operation
Solving Equations Quiz
Linear Equations: Using
Algebra
Solving Equations with Solve
It
Solving Equations

Project: Students create
three word problems using
the formulas in this lesson;
they must solve each one,
and explain the solution.
Buying a Car
Math TODAY for TINavigator System - College
Costs Surge
Florida FCAT Practice Exams
- Grades 6-8 Math
1050
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 4 – Polynomials
Essential Questions for this Unit:
1. How do the order of operations and the exponent rules affect the outcome of numerical or algebraic expressions?
2. How are formulas applied or transformed to aide in finding solutions word problems pertaining to real life situations?
Days
Topic
Textbook
Section
4-1 & 4-2
Benchmark
Vocabulary
3
Exponents &
Adding and Subtracting Polynomials
MA.A.1.4.4
MA.A.2.4.2
MA.A.3.4.1
MA.A.3.4.3
Power, Base, Exponent, Exponential Form,
Monomial, Polynomial, Binomial, Trinomial,
Coefficient, Degree, Order of Operations
3
Multiplying Monomials &
Powers of Monomials
4-3 & 4-4
2
Multiplying Polynomials by
Monomials & Multiplying
Polynomials
4-5 & 4-6
2
Transforming Formulas & Rate
Distance and Time Problems
4-7 & 4-8
MA.A.3.4.1
MA.A.3.4.2
MA.A.3.4.3
MA.A.3.4.1
MA.A.3.4.2
MA.A.3.4.3
MA.A.3.4.1
MA.A.3.4.2
MA.A.3.4.3
MA.A.3.4.1
MA.A.3.4.2
MA.A.3.4.3
MA.B.1.4.1
MA.D.1.4.1
MA.B.1.4.2
MA.B.2.4.2
3
Area Problems & Problems without
Solution
4-9 & 4-10
MA.B.3.4.1
MA.A.3.4.1
Extensions/Resources

Expressions – changing
values using grouping
symbols pg. T95
Multiplying and Dividing
Monomials
Multiplying Monomials
First Degree Monomials and
Binomials
 Find the volume of the figures
on pg. 154 using the area
and the height of each one.
 Exponent Challenge
Problems pg. T97
DW Test
Item #s
1048
1051
1057
FOIL Review
Multiplying Binomials
Multiplying Binomials
Using the Y= menu to teach
Binomial Multiplication
Uniform Motion

Students create their own
word problem, sketch, &
solution for each type of
motion problem presented in
this lesson.
Match the Graph
Can You Walk 3 Miles Per
Hour?
 Students create their own
word problem, sketch, &
solution for the problems in
this lesson
1069
Areas in Coordinate Geometry.
1
2
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
1
17
Chapter Test
Total days
 Floor Plan Project
Florida FCAT Practice Exams
- Grades 6-8 Math
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 5 – Factoring Polynomials
Essential Questions for this Unit:
1. What are the methods used to factor polynomials?
Days
Topic
Textbook
Section
1
Factoring Integers Dividing
5-1
Monomials
Benchmark
MA.D.1.4.1
Vocabulary
Factor, prime number, prime factorization,
greatest common factor


1
2
Dividing Monomials
Monomials Factors of Polynomials
5-2
5-3
MA.D.1.4.1
MA.D.1.4.1
Divisible, greatest monomial factor
1
Multiplying Monomials Mentally
5-4
MA.A.3.4.2
MA.D.1.4.1
Quadratic term, linear term, quadratic
polynomial
2
Difference of Two Squares
5-5
MA.A.3.4.2
MA.D.1.4.1
2
2
5-6
5-7
2
Squares of Monomials
Factoring Pattern for x² + bx + c, c is
Positive
Factoring Pattern for x² + bx + c, c is
Negative
Factoring Pattern for ax² + bx + c
2
Factoring by Grouping
5-10
2
Using Several Methods of Grouping
5-11
2
Solving Equations by Factoring
5-12
2
Using Factoring to Solve Problems
5-13
2
5-8
5-9
MA.A.3.4.2
MA.D.1.4.1
MA.A.3.4.2
MA.D.1.4.1
MA.A.3.4.2
MA.D.1.4.1
MA.A.3.4.2
MA.D.1.4.1
MA.A.3.4.2
MA.D.1.4.1
MA.A.3.4.2
MA.D.1.4.1
MA.A.3.4.2
Extensions/Resources
Perfect square trinomial
Irreducible polynomial, prime polynomial
DW Test
Item #s
Sieve of Eratosthenes up to
200 for good reference chart
for chapter.
Logic Ladder Factors
Greatest Common Factor
Focus on factoring out the
Greatest Common Monomial
Factor, especially, where one
of the terms is the GCMF.
Polynomial Operations
 Text pg. 239 Sums &
Differences of Cubes
Multiplying/Factoring
Polynomials

1078
1053
Extension pg. T103
1070
More difficult factoring
Factor completely
Converse, cubic, standard form of a polynomial
equation
Factoring and Solving
Quadratic Binomials
FACTORED
POLYNOMIALS
Video Tutorial - Using the
Graph Screen to Factor
Quadratics
 Problems Solving in groups,
1084
MA.D.1.4.1
1
2
1
27
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
Semester 1:
Course – Content Instruction
Flex-Days for Review and/or FCAT Preparation
Springboard/Navigator Activities
Midterm-Exam Preparation & Administration
Total
Mid-Term Exam: 2 Days Prep & 1 Day Administration
Days
65
10
5
3
86
each group member has a
specific responsibility – pg.
T106