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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
Navigator/Springboard Activities
2
1
12
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
MA.D.2.4.2
MA.A.1.4.4
MA.A.1.4.3
MA.A.1.4.3
Variable, Simplify, Evaluate, Substitution
Principle, Grouping Symbol

Equation, Open Sentence, Domain, Solution,
Solve, Formula


MA.A.3.4.1
Five Step Plan, Charts


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
Extensions/Resources
Riverdeep Extensions
Order of Operations-Grouping
Symbols pg. T78-79
Writing Equations pg. T78
Writing expressions for the
student’s age in terms of x
pg. T79.
Riverdeep Activity
Rewriting Equations in terms
of a specified variable pg.
T79-T80.
Students write their own word
problems, include solution.
Riverdeep Activity
DW Test
Item #s
1045
1055
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 2 – Working with Real Numbers
Essential Questions for this Unit:
1. How are the properties of real numbers used to simplify numerical and algebraic expressions?
2. How do the four operations and properties relate to mental arithmetic techniques?
Days
Topic
Textbook
Section
2-1 & 2-2
1
Basic Assumptions & Addition on a
Number Line
1
Rules for Addition & Subtracting
Real Numbers
2-3 & 2-4
2
The Distributive Property & Rules for
Multiplication
Problem Solving:
Consecutive Integers
2-5 & 2-6
2
The Reciprocal of a Number &
Dividing Real Numbers
2-8 & 2-9
1
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Review
Chapter Test
Total days
2
2
1
12
2-7
Benchmark
Vocabulary
Extensions/Resources
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
MA.A.3.4.1
MA.D.2.4.2
Closure, Commutative, Associative, Term,
Factor, Reflexive, Symmetric, Transitive

Number lines gain/loss relate
to a football game.
Identity Property, Additive Inverse, Property of
the Opposite Sum

Complete the square activity
on pg. T85
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
Multiplicative Property, Property of Opposites in
Products
Consecutive, Odd, Even

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.
SWAT Game based on Properties
DW Test
Item #s
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
2
Transforming Equations: Addition,
Subtraction, Multiplication, & Division
3
Using Several Transformations &
Using Equations to Solve Problems
Equations with the Variable on Both
Sides
Problem Solving Using Charts
Cost, Income, and Value Problems
2
2
2
0
1
2
1
15
Proof In Algebra
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
Textbook
Section
3-1 & 3-2
3-3 & 3-4
3-5
3-6
3-7
3-8
Benchmark
Vocabulary
Extensions/Resources
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
Riverdeep Activity
Inverse Operations
Riverdeep Activity
MA.A.3.4.2
MA.D.2.4.2
MA.D.2.4.2
MA.D.2.4.2
Empty Set, Null Set, Identity
DW Test
Item #s
1050

Project: Students create
three word problems using
the formulas in this lesson;
they must solve each one,
and explain the solution.
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
3
Exponents &
Adding and Subtracting Polynomials
3
Multiplying Monomials &
Powers of Monomials
Textbook
Section
4-1 & 4-2
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
3
Area Problems & Problems without
Solution
4-9 & 4-10
1
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
2
1
17
Benchmark
Vocabulary
MA.A.1.4.4
MA.A.2.4.2
MA.A.3.4.1
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.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
Power, Base, Exponent, Exponential Form,
Monomial, Polynomial, Binomial, Trinomial,
Coefficient, Degree, Order of Operations
MA.B.3.4.1
MA.A.3.4.1
Extensions/Resources



Expressions – changing
values using grouping
symbols pg. T95
Riverdeep Activity
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
Riverdeep Activity
Uniform Motion



Students create their own
word problem, sketch, &
solution for each type of
motion problem presented in
this lesson.
Students create their own
word problem, sketch, &
solution for the problems in
this lesson.
Floor Plan Project
1069
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
1
2
Dividing Monomials
Monomials Factors of Polynomials
5-2
5-3
MA.D.1.4.1
MA.D.1.4.1
1
Multiplying Monomials Mentally
5-4
2
Difference of Two Squares
5-5
MA.A.3.4.2
MA.D.1.4.1
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
1
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
2
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
MA.D.1.4.1
Vocabulary
Extensions/Resources
Factor, prime number, prime factorization,
greatest common factor

Sieve of Eratosthenes up to
200 for good reference chart
for chapter.
Riverdeep Activity
Divisible, greatest monomial factor

Quadratic term, linear term, quadratic
polynomial

Focus on factoring out the
Greatest Common Monomial
Factor, especially, where one
of the terms is the GCMF.
Riverdeep Activity
Text pg. 239 Sums &
Differences of Cubes
Perfect square trinomial
Irreducible polynomial, prime polynomial

DW Test
Item #s
1078
1053
Extension pg. T103
Riverdeep Activity
1070
Riverdeep Activity
Factor completely
Converse, cubic, standard form of a polynomial
equation
1084

Problems Solving in groups,
each group member has a
specific responsibility – pg.
T106
1
27
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
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 6 – Fractions
Essential Questions:
1. What methods are used to work with algebraic fractions?
2. How do you simplify algebraic fractions?
3. How do you divide polynomials using long division?
Days
1
Simplifying Fractions
Textbook
Section
6 -1
1
Multiplying Fractions
6-2
1
2
Dividing Fractions
Least Common Denominator
6-3
6-4
2
Adding & Subtracting Fractions
6-5
2
2
1
Mixed Expressions
Polynomial Long Division
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
6-6
6-7
2
1
16
Topic
Benchmark
MAA.3.4.2
MA.A.3.4.3
MA.D.1.4.1
MAA.3.4.2
MA.D.1.4.1
MA.A.3.4.3
MA.A.3.4.2
MA.A.3.4.3
MA.D.1.4.1
MA.A.3.4.2
MA.A.3.4.3
MA.D.1.4.1
Vocabulary
Extensions/Resources

Emphasize: set restrictions
using original denominator
Riverdeep Activity
Riverdeep Activity
DW Test
Item #s
1076
1052
Riverdeep Activity
Least Common Denominator
Riverdeep Activity
1063
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 7 – Applying Fractions
Essential Questions:
1. How are proportions used to solve problems?
2. Why is it helpful to eliminate fractional coefficients when solving equations?
3. How does understanding the concept of percentages assist in estimation?
Days
Topic
1
Ratios, Proportions
2
2
2
Fractions with Fractional Coefficient
Fractional Equations
Percents
1
0
0
1
1
1
Percent Problems
Mixture Problems
Work Problems
Negative Exponents
Scientific Notation
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
2
1
14
Textbook
Section
7 -1 & 7-2
Benchmark
Vocabulary
Ratio, Proportion, Means, Extremes
7- 3
7- 4
7- 5
7- 6
7-7
7–8
7–9
7 - 10
Extensions/Resources

Pg. 291 Word problems in
groups.
Riverdeep Activity

Business Application
pg. T114
Percent
Riverdeep Activity
DW Test
Item #s
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 8 – Introduction to Functions
Essential Questions:
1. How are linear and quadratic functions different?
2. What is slope?
3. How are two variable functions written and graphed?
Days
1
1
Topic
Equations in Two Variables
Points, Lines, and Their Graphs
Textbook
Section
8–1
8-2
Benchmark
Vocabulary
MA.D.1.4.1
MAD.1.4.1
MA.A.1.4.3
Ordered pair
x-axis, y-axis, Abscissa, Ordinate, Coordinate
Plane, Quadrants
Extensions/Resources


1
Slope of a Line
8- 3
1
The Slope-Intercept Form of a Linear
Equation
8–4
1
0
8–5
8–6
1
Determining an Equation of a Line
Functions Defined by Tables and
Graphs
Functions Defined by Equations
1
Linear and Quadratic Functions
8–8
0
0
3
Direct Variation
Indirect Variation
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
8-9
8 - 10
2
1
13
8–7
MAC.3.4.2
MA.D.1.4.1
MA.C.3.4.2
MAC.3.4.2
MA.D.1.4.1
MA.C.3.4.2
MA.D.1.4.1
MA.D.1.4.1
MA.C.2.4.1
MA.D.1.4.1
MA.D.1.4.1
MA.C.2.4.1
MA.D.1.4.1
Slope, Collinear
y-intercept, slope-intercept form, parallel

Emphasis on differences
between slope-intercept form
and standard form.
Extension Activity on pg.
T118
Riverdeep Activity
1072
Perpendicular Lines pg. 370
Riverdeep Activity
1913
1908
x-intercept
Function, Domain, Range
1080
Function Notation, Function Value
Parabola, Minimum Point, Maximum Point, Axis
of Symmetry, Quadratic Function, Vertex
Direct Variation, Constant of Proportionality
Inverse Variation
DW Test
Item #s
1066

CBL – Bouncing Basketballs
Riverdeep Activity
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 9 – Systems of Linear Equations
Essential Questions:
1. What methods are used to solve systems of equations?
Days
Topic
Textbook
Section
9–1
Benchmark
Vocabulary
MA.D.2.4.2
System of Equations, Solution of a System,
Intersection Point, System of Simultaneous
Equations
MA.A.3.4.2
MA.D.2.4.2
MA.A.3.4.2
MA.D.2.4.2
MA.D.2.4.2
MA.D.2.4.2
1
The Graphing Method
1
The Substitution Method
9-2
1
Solving Problems with Two Variables
9-3
1
1
The Addition-or-Subtraction Method
Multiplication with Addition-orSubtraction Method
Wind and Water Current Problems
Puzzle Problems
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
9–4
9–5
0
1
3
2
1
12
9–6
9–7
Extensions/Resources

CBL – Meet you in the Middle
Riverdeep Activity
Riverdeep Activity
DW Test
Item #s
1915
1058
1068
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 10 – Inequalities
Essential Questions:
1. What are the methods used to solve inequalities?
2. How do you find the solution area for an inequality or for a system of inequalities?
Days
Topic
Textbook
Section
10-1
1
Order of Real Numbers
1
Solving Inequalities
10-2
1
Solving Problems Involving
Inequalities
Solving Combined Inequalities
Absolute Value in Open Sentences
Absolute Value of Products in Open
Sentences
Graphing Linear Inequalities
Systems of Linear Inequalities
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
10-3
1
0
0
1
1
2
2
1
11
Benchmark
Vocabulary
MA.A.1.4.2
MA.A.2.4.1
MA.A.3.4.1
MA.A.1.4.2
MA.A.2.4.1
MA.A.3.4.1
Inequalities, Graph of an Inequality, Equivalent
Inequalities
Extensions/Resources
1056

10-4
10-5
10-6
MA.A.3.4.1
10-7
10 – 8
MA.D.2.4.2
MA.D.2.4.2
DW Test
Item #s
Writing/Describing
Inequalities pg. T128.
Conjunction, Disjunction
1064
Riverdeep Activity
Riverdeep Activity
Open Half-Plane, Boundary, Closed Half-Plane

Riverdeep Activity
Mapping Activity
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 11 – Rational and Irrational Numbers
Essential Questions:
1. What are rational and irrational numbers?
2. How do you simplify radical expressions?
3. How and when do you apply the Pythagorean Theorem?
4. What methods are used to solve radical equations?
Days
2
2
Topic
Properties of Rational Numbers
Decimal Forms of Rational Numbers
Rational Square Roots
Irrational Square Roots
Textbook
Section
11-1 &
11-2
11-3 &
11-4
1
Square Roots of Variable Expressions
11-5
1
The Pythagorean Theorem
11-6
Benchmark
Vocabulary
Extensions/Resources
MA.A.1.4.1
MA.A.2.4.2
MA.A.1.4.2
MA.B.1.4.2
MA.C.3.4.1
MA.C.3.4.1
MA.B.1.4.2
MA.C.3.4.1
MA.B.1.4.2
Rational number Terminating number, repeating
decimal
Irrational numbers, Pythagorean theorem

Rationalizing the denominator




1
Multiplying, Dividing, and Simplifying
Radicals
11-7
1
Adding and Subtracting Radicals
11-8
0
Multiplication of Binomials Containing
Radicals
Simple Radical Equations
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
11-9
1
2
2
1
14
11-10
MA.A.1.4.1
MA.A.2.4.2
MA.A.3.4.3
MA.A.3.4.1
MA.A.1.4.1
MA.A.2.4.2
MA.A.3.4.3
MA.A.3.4.1

Rational Numbers & Value
pg. T131
Pass Game – Dec.↔ Frac.,
Riverdeep Activity
Radical equation
1071
Add Special Right Triangles
45°-45°, 30°-60°-90°
Distance Formula: Pg. 535 &
536.
Midpoint Formula
Riverdeep Activity
Divisibility Tests pg. 543
Riverdeep Activity
Conjugate
MA.B.3.4.1.
DW Test
Item #s
Riverdeep Activity
1075
Algebra 1 Honors – Middle School Course Number: 12003208
Materials: Algebra Structure and Method • Book 1
Adoption Date: 2004 - 2005
Chapter 12 – Quadratic Functions
Essential Questions:
1. How do you solve a quadratic equations using the quadratic formula?
2. How are graphs of quadratic functions related to solutions of quadratic equations by means of the discriminant?
Days
2
0
1
Topic
Quadratic Equations with Perfect
Squares
Completing the Square
The Quadratic Formula
Textbook
Section
12-1
12-2
12-3
1
Graphs of Quadratic Equations: The
Discriminant
12-4
0
Methods of Solution
12-5
0
Solving Problems Involving Quadratic
Equations
Direct and Inverse Variation Involving
Squares
Joint and Combined Variation
TI – Navigator & Spring Board
Activities
FCAT, Chapter, & Spiral Reviews
Chapter Test
Total days
12-6
0
0
2
2
1
9
12-7
12-8
Benchmark
Vocabulary
MA.D.1.4.1
MA.D.1.4.2
Perfect Square
MA.A.3.4.2
MA.A.3.4.2
MA.D.1.4.1
MA.D.1.4.1
MA.D.1.4.2
Quadratic Formula
Discriminant
Extensions/Resources
Riverdeep Activity

Quadratic Inequalities pg.
581
Riverdeep Activity
MA.A.3.4.3
MA.D.1.4.1
Riverdeep Activity
DW Test
Item #s
1079
Semester 2:
Course – Content Instruction
Flex-Days for Review and/or FCAT Preparation
Springboard/Navigator Activities
Final-Exam Preparation & Administration
Total
Final-Term Exam: 4 Days Prep & 1 Day Administration
Days
61
14
14
5
94