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SYLLABUS
Honors Algebra 1
INSTRUCTOR _____________________________________________ SCHOOL YEAR: _________ TIME: __________ COURSE NO. 320
COURSE DESCRIPTION
This is the first honors-level course in the college preparatory mathematics sequence. Units of study include the real number system, linear equations
and inequalities, graphs, linear functions, systems of linear equations, exponents, polynomials, and polynomial functions, factoring, rational
expressions and functions, roots, radicals and root functions, quadratic equations and inequalities, and quadratic functions. Technological tools, such
as the TI-84 Plus graphing calculator, will be used for both discovery and problem solving; classroom sets will be available for student use. Students
will be expected to purchase and bring a TI-30XIIS calculator to class on a daily basis.
ENDURING UNDERSTANDINGS – After successfully completing this course, the student will understand that:
1. Real number calculations are a life skill.
2. Variables and expressions represent unknown quantities.
3. Formulas are used to find missing quantities.
4. Slope is the rate of change.
5. Linear, absolute value and quadratic functions can be used to model real-world situations.
6. Many real-world applications can be modeled and solved using a system of equations.
7. A graph is a visual representation of an equation.
CREDIT:
1 credit
LEVEL: 9-Honors
PREREQUISITES
This is a freshmen only class. Placement will be determined by the 8th grade high school placement exam.
AREAS OF STUDY
First Semester
Second Semester
1
2
7
8
9
10
11
12
13
14
3
4
5
6
Review of the Real Number System
Linear Equations, Inequalities, and
Applications
Graphs, Linear Equations, and Functions
Systems of Linear Equations
Exponents, Polynomials, and Polynomial
Functions
Factoring
Rational Expressions and Functions
Roots, Radicals, and Root Functions
Quadratic Equations and Inequalities
Additional Graphs of Functions and Relations
Inverse, Exponential, and Logarithmic Functions
Polynomial and Rational Functions
Conic Sections and Systems of Inequalities
Further Topics in Algebra
TIMELINES
Honors Algebra 1
First Semester
Suggested Timelines
Suggested Timelines
Chapter 0
Summer Assignment
3 days
Chapter 4
Chapter 1
Review of the Real Number System
10 days
1.1
Basic Concepts (2)
1.2
Operations on Real Numbers (2)
1.3
Exponents, Roots, and Order of Operations (2)
1.4
Properties of Real Numbers (1)
Review (2)
Test (1)
4.1
Systems of Linear Equations in Two Variables (3)
TI-84 (pg 237) (pg 240) (1) Really Stress this Section.
4.2
Optional
TI-84 Quiz (1)
4.3
Applications of Systems of Linear Equations (2-variable only) (2)
4.4
Optional
Review (2)
Test (1)
Chapter 2
Chapter 5
Linear Equations, Inequalities, and Applications 17 days
2.1
Linear Equations in One Variable (2)
2.2
Formulas (2)
2.3
Applications of Linear Equations (4)
2.4
Optional
Mid Chapter Test (1)
2.5
Linear Inequalities in One Variable (2)
2.6
Set Operations and Compound Inequalities (2) Ex. 1-6 only
2.7
Absolute Value Equations and Inequalities (2) Ex. 1 only
Review (2)
Test (1)
Chapter 3
Graphs, Linear Equations, and Functions
3.1
The Rectangular Coordinate System (2)
3.2
The Slope of a Line (2)
3.3
Linear Equations in Two Variables (3) Ex. 1-5 only
Quiz (1)
3.4
Linear Inequalities in Two Variables (2) Ex. 1-3
3.5
Introduction to Functions (2)
Review (2)
Test (1)
Systems of Linear Equations
Exponents, Polynomials and Polynomial
Functions
11 days
14 days
5.1
Integer Exponents and Scientific Notation (3)
5.2
Adding and Subtracting Polynomials (1)
Quiz (1)
5.3
Polynomial Functions, Graphs, and Composition (2)
5.4
Multiplying Polynomials (2)
5.5
Dividing Polynomials (1) Ex. 1 only (no long division)
Review (1)
Test (1)
15 days
Number of Teaching Days
Performance Assessments
Review for Semester Exam
Miscellaneous Days:
School Improvement, Assembly, Institute, Stand. Testing
TOTAL DAYS: (75)
TIMELINES
66 days
2 days
2 days
7 days
_______
77 days
Honors Algebra 1
Second Semester
Suggested Timelines
Chapter 6
Factoring
16 days
6.1
Greatest Common Factors; Factoring by Grouping (2)
6.2
Factoring Trinomials (2)
6.3
Special Factoring (2)
Quiz (1)
6.4
A General Approach to Factoring (3)
TI-84 Activity (pg 376) (pg 379-380) (1)
6.5
Solving Equations by Factoring (2)
Review (2)
Test (1)
Chapter 7
7.1
Rational Expressions and Functions
Chapter 9
19 days
Rational Expressions and Functions; Multiplying and
Dividing (2)
Adding and subtraction Rational Expressions (3)
Roots, Radicals and Root Functions
8.1
Radical Expressions and Graphs (2)
TI-84 Graphing Square Root (1)
8.2
Rational Exponents (Objectives 1-3 only) (2)
8.3
Simplifying Radical Expressions (3)
Quiz (1)
8.4
Adding and Subtracting Radical Expressions (2)
8.5
Multiplying and Dividing Radical Expressions (3)
8.6
Solving Equations with Radicals (3)
Suggested Timelines
Quadratic Equations and Inequalities
12 days
9.1
The Square Root Property and Completing the Square (3)
9.2
The Quadratic Formula (2)
Quiz (1)
9.3
Equations Quadratic in Form (Objective 1 only) (1)
9.4
Formulas and Further Applications (2)
9.5
Review (2)
Test (1)
Chapter 10
7.2
Quiz (1)
7.3
Complex Fractions (3)
7.4
Equations with Rational Expressions and Graphs (2)
Quiz (1)
7.5
Applications of Rational Expressions (2)
7.6
Variation (2)
Review (2)
Test (1)
Chapter 8
TI-84 (pg 512-513) (pg 515) (1)
8.7
Complex Numbers (Objectives 1-4 only) (2)
Review (2)
Test (1)
Additional Graphs of Functions and Relations
9 days
10.1
10.2
Graphs of Quadratic Equations (Objectives 1-4 only) (2)
TI-84 (pg 620) (1)
10.3
More About Parabolas and Their Applications (Objectives 1-4 only) (2)
10.4
10.5
TI-83 (pg 632-633) (1)
Review (2)
Test (1)
23 days
Number of Teaching Days
Performance Assessment
Review for Semester Exam
Miscellaneous Days:
School Improvement, Assembly, Institute,
Stand.Testing Review, Stand. Testing
79 days
2 days
5 days
TOTAL DAYS: (92)
96 days
10 days
______
For Reference
Added to Honors Algebra 1
 Imaginary/Complex Numbers
 Radicals with index greater than 2
 Rational Exponents
 Function Notation/Evaluating Functions
 TI-84 Activities
 Solving 3 Variable System (intro)
 Matrices (intro)
 Completing the square with leading wef. greater than 1
Left out of Honors Algebra 1




Exponential/Growth Decay (taught in Honors Algebra 2)
Sequence and Series (taught in Honors Algebra 2)
Trig Ratios (taught in Honors Geometry/Honors Algebra 2)
Probability (taught in Honors Algebra 2)
MATHEMATICS DEPARTMENT CURRICULUM
Honors Algebra 1
DISTRICT OUTCOMES:
NUMBER SENSE
5.2.1.1
TLW use and apply the concepts of Arithmetic, Order of Operations, Properties of Real Numbers, Signed Numbers, Exponential &
Scientific Notation
5.2.1.2
TLW use and apply operations on Radicals and Complex numbers
5.2.2.1
TLW use and apply the concepts of Ratios, Proportions, Percents and Dimensional Analysis
5.2.3.1
TLW compute using multiple approaches - estimation, approximations, and exact values
5.2.4.3
TLW use and apply Ratios, Sequences and Patterns
MEASUREMENT
5.3.3.1
TLW apply formulas such as Pythagoras, area, perimeter, volume & conversions within a measurement system
ALGEBRA
5.4.1.1
5.4.1.4
5.4.2.1
5.4.3.1
5.4.3.2
5.4.3.3
5.4.4.1
TLW describe mathematical relationships and patterns, simplify expressions and use order of operations
TLW use and apply Exponential, Rational and Logarithmic functions
TLW use and apply multiple representations of algebraic functions including absolute value, square root, linear, quadratic,
exponential and step functions
TLW apply and use factoring
TLW use and apply linear and quadratic equations, inequalities and systems of equations and exponential equations
Use and apply the analytic geometry of lines and parabolas
TLW apply algebraic concepts and procedures to the solution application problems from consumer situations
GEOMETRY
5.5.3.1
TLW solve right triangles using SohCahToa
DATA
5.6.1.1
5.6.2.1
5.6.3.1
TLW construct, analyze and/or draw conclusions for charts, tables, and/or data graphs
TLW apply concepts of statistics including Mean, Median, Mode, Range, Variance and Standard Deviation to the solution
of theoretical and/or real-life problems
TLW apply the concepts of probability to solve theoretical and/or real life problems
WRITTEN: Summer, 2008
Written by:
UPDATED: Summer, 2009
Updated by:
TEXTBOOK: Algebra for College Students, Pearson Add/Wes
C. Hajjar, S Ekpenyong
P. Banach, C. Hajjar