Health Careers Academy Course Syllabus: Marking Terms I-IV

Academic Year 2008-2009

Teacher :	Frank Harris Fharris2@boston.k12.ma.us Class Home Page http://mysite.verizon.net/fharris_01/index.htm Phone: 617-373-8576
Subject/Course:	Algebra 1 Honors
Textbooks:	Algebra 1 , Glencoe Mathematics

Other Instructional Materials:

TI-83+ Graphing Calculator, Glencoe Interactive Chalkboard, Algebra1.com, Glencoe Interactive CD, MassOne website, Microsoft Office

Course Description (Major goals and teaching strategies):

The word mathematics comes from the ancient Greek language meaning “the things that are worth knowing”. Too often, students just view mathematics as an exercise in manipulating numbers without seeing any real value to their lives. The goal of this course is to show the student 1) mathematics as problem solving, 2) mathematics as communication, 3) mathematics as reasoning, and 4) mathematics as making connections.

During the year, we will investigate a wide range of sophisticated mathematical topics in a student friendly way. Throughout the program, students learn how to use the complementary mechanisms of graphing calculators and logical reasoning to find and explain answers, to shape and defend their opinions, and to pose and explore new questions.

Students will become better at:

ü - Using Algebra to model real world situations

ü - Using technology to describe patterns of data

ü -  Solving Complex Algebra Equations

ü - Basic Math Skills

The teaching strategies to be used include:

Ø Direct Instruction

Ø Cooperative Learning Strategies

Ø One-on-one Direct Instruction

Instructional Objectives

A. Major Topics and Concepts: by the close of the year, students will understand the following topics and concepts:

ü - How can we find a “center” for the data?

ü - Understand the language of Algebra

ü - Real Number System

ü - Solving Linear Equations

ü - Graphing Relations and Functions

ü - Analyzing Linear Equations

ü - Solving Systems of Equations

ü - Factor polynomial equations

ü - Graph quadratic and Exponential Equations

B. Major Skills: by the close of the year, students will be able to:

Organize, present, analyze 1-variable data

Present and summarizing data with charts

Compute mean, median, and mode as common measures of center

Describe spread by five-number summaries and boxplots

Plot points in a coordinate system

Understand straightness, slope, and constant rate of change

Draw straight lines with a graphing calculator

Describe graphs of linear equations via slope and intercept

Solve and graph linear inequalities

Find a linear equation from two points

Using graphs versus tables to display data

Linear interpolation

Compute a  least-squares lines with a graphing calculator

Forecast by linear extrapolation

Work with polynomial equations

Modeling a game by a tree-diagram algorithm

Applying an algorithm to solve a pair of linear equations

Solving pairs of linear equations by graphing

Compare sets of data by graphical estimation

Solve pairs of linear equations by algebra

Understand the basic idea, terminology and notation of functions

Calculate functions on discrete sets; sequences

Understand linear and step functions

Work with exponential functions; growth and compounding

Describe composition of functions

Utilize set language, notation, and operation

Draw Venn diagrams and tree diagrams

Use the Fundamental Counting Principle

Calculate the probability of an event

C. Key Questions: list a sample open-ended, “key” question students will be able to answer by the end of the course:

You notice in today’s newspaper that Filenes is having a 20% off sale. You also have a coupon to Filenes for $10.00 off any winter coat that can be used on regular and sale priced merchandise. Does it matter in what order the computerized register applies both discounts? Give an example. As the Chief Financial Officer of Filenes, write a memo to the data processing department outlining a policy for calculating the net price of an item sold. Remember, the Chief Financial Officer wants to maximize sales revenues.

Assessment Strategies and Grading Policy

Describe how students will be assessed and how grades will be determined*:

Student’s end of term grade will be determined as follows:

Assigned problems for homework must be completed or an Incomplete for the term will be issued.

Exams             40%

Final                20%

Homework      10%

Class work      20%

Term Project    10%

Student’s final grade for the course will be determined as follows:

Students must pass 5 of 8 Chapter Tests or pass the Year End Final, as well as maintain a minimum of a 60% average in order to be promoted.

Final Grade is determined as an average of the 4 marking terms and the Boston Year End Final.

****All students will maintain an assessment portfolio that contains all completed subject  tasks, all exams and other important assignments as determined by the teacher.

Expectations and Extra Help Schedule

Students are expected to come to class prepared (notebooks, writing instruments, books, completed assignments) and ready to learn.

It is the student’s responsibility to see their teacher regarding missed assignments and exams.

This must be done within three (3) days of returning to school.

In addition to HCA’s tutoring program, students are welcome to meet after school with Mr. Harris for extra help. Students should make an appointment to schedule time.

In addition:

Ø Students are expected to practice punctuality.

Ø Students should have good attendance.

Ø Students are expected to participate in whole-class and small group activities.

Ø Students are expected to develop and practice good study habits.

Ø Students are expected to adhere to all rules of the computer lab including no food or drinks as well as adhering to lab policies regarding internet access.

Students are expected to return their textbooks and CD’s in good condition. If the student damages or loses their book or CD, the parent/guardian is expected to pay for the damaged/lost item before a replacement will be issued.

Student/Parent Signature Sheet (to be returned to math teacher)

I understand the learning objectives, expectations, damaged/lost book policy and other information included in this syllabus.

Student name (print)                                               Student Signature

Parent or guardian name (print)                   Parent or Guardian

Ø Students are expected to return their textbooks and CD in good condition. If the student damages or loses the book or CD, the parent/guardian is expected to pay for the damaged/lost item before a replacement will be issued.

Ø Parents/Guardians and students should sign the syllabus signature sheet.

Students must return this signature sheet to their math teacher as soon as possible.

Course 461, Algebra I Honors

Scope and Sequence of Topics

2008-2009

TE R M			Section	Topic	Days	Learning Outcomes After completing each section, students will be able to:
						Language of Algebra
1		1.1		Variables and  Expressions	2 days	Write mathematical expressions for verbal expressions. Write verbal expressions for mathematical expressions.
1		1.2		Order of Operations	2 days	Evaluate Numerical expressions by using the order of operations. Evaluate algebraic expressions by using the order of operations
1		1.3		Open Sentences	1 day	Solve open sentence equations. Solve open sentence inequalities.
1		1.4		Identity and Equality Properties	1 day	Recognize the properties of identity and equality. Use the properties of identity and equality.
1		1.5		Distributive Property	1 day	Use the distributive property to evaluate expressions. Use the distributive property to simplify expressions.
1		1.6		Commutative and Associative Properties	1 day	Recognize the Commutative and Associative Properties. Use the Commutative and Associative Properties to simplify expressions.
1		1.7		Logical Reasoning	1 day	Identify the hypothesis and conclusion in a conditional statement. Use a counterexample to show that an assertion is false.
1		1.8		Graphs and Functions	1 day	Interpret graphs and functions. Draw graphs of functions.
1		1.9		Analyzing data by using tables and graphs	1 day	Analyze data given tables and graphs (bar, line and circle). Determine whether graphs are misleading.
				End Module/Chapter Test	1 day
						End Chapter 1- 11 instructional days
						Real Numbers
1		2.1		Rational Numbers on the number line	1 day	Graph rational numbers on a number line. Find absolute values of rational numbers.
1		2.2		Adding and Subtracting Rational Numbers	2 days	Add integers and rational numbers. Subtract integers and rational numbers.
	1	2.3		Multiplying Rational Numbers	1 day	Multiply integers. Multiply rational numbers.
	1	2.4		Dividing Rational Numbers	1 day	Divide integers. Divide rational numbers.
	1	2.5		Displaying and Analyzing data	1 day	Interpret and create line plots and stem-and-leaf plots. Analyze data using mean, median, and mode.
	1	2.6		Simple Probability and Odds	2 days	Find the probability of a simple event. Find the odds of a simple event.
	1	2.7		Square Roots and Odds	1 day	Find square roots. Classify and order real numbers.
				End Module/Chapter Test	1 day
						End Chapter 2 - 9 Instructional Days
						Solving Linear Equations
	1	3.1		Writing Equations	1 day	Translate verbal sentences into equations. Translate equations into verbal sentences.
	1	3.2		Solving Equations by using Addition and Subtraction	1 day	Solve equations by using addition. Solve equations by using subtraction.
	1	3.3		Solving Equations by using Multiplication and Division	1 day	Solve equations by using multiplication. Solve equations by using division.
	1	3.4		Solving Multi-step equations	2 days	Solve problems by working backward. Solve equations involving more than one operation.
	1	3.5		Solving Equations with the variable on each side	1 day	Solve equations with the variable on each side. Solve equations involving grouping symbols.
	1	3.6		Ratios and Proportions	1 day	Determine whether two ratios form a proportion. Solve proportions.
	1	3.7		Percent of Change	2 days	Find percents of increase and decrease. Solve problems involving percents of change.
	1	3.8		Solving equations and formulas	2 days	Solve equations for given variables. Use formulas to solve real-world problems.
	1	3.9		Weighted averages	2 days	Solve mixture problems. Solve uniform motion problems.
				End Module/Chapter Test	1 day
						End Chapter 3 – 13 Instructional Days
						Graphing Relations and Functions
	1	4.1		The Coordinate Plane	1 day	Locate points on the coordinate plane. Graph points on a coordinate plane.
	1	4.2		Transformations on the Coordinate Plane	2 days	Transform figures by using reflections, translations, dilations, and rotations. Transform figures on a coordinate plane by using reflections, translations, dilations, and rotations.
						End Term 1: 46 Days – November 9, 2007 36 Instructional Days 3 End Module/Chapter Test Days 1 Formative Assessment Day 6 Discretionary Days
	2	4.3		Relations	2 days	Represent relations as sets of ordered pairs, tables, mapping and graphs. Find the inverse of a relation.
	2	4.4		Equations as Relations	1 day	Use an equation to determine the range for a given domain. Graph the solution set for a given domain.
	2	4.5		Graphing Linear Equations	2 days	Determine whether an equation in linear. Graph linear equations.
	2	4.6		Functions	1 day	Determine whether a relation is a function. Find function values.
	2	4.7		Arithmetic Sequences	2 days	Recognize arithmetic sequences. Extend and write formulas for arithmetic sequences.
				End Module/Chapter Test	1 day
						End Chapter 4 – 11 Instructional Days
						Analyzing Linear Equations
	2	5.1		Slope	1 day	Find the slope of a line. Use rate of change to solve problems.
	2	5.2		Slope and Direct Variation	1 day	Write and graph direct variation equations. Solve problems involving direct variation.
	2	5.3		Slope-Intercept Form	2 days	Write and graph linear equations in slope-intercept form. Model real-world data with an equation in slope-intercept form.
	2	5.4		Writing Equations in Slope-intercept form	2 days	Write an equation of a line given the slope and one point on a line. Write an equation of a line given two points on the line.
	2	5.5		Writing equations in point-slope form	2 days	Write the equation of a line in point-slope form. Write linear equations in different forms.

2	5.6	Geometry: Parallel and perpendicular lines	2 days	Write an equation of the line that passes through a given point, parallel to a given line. Write an equation of the line that passes through a given point, perpendicular to a given line.
2	5.7	Scatter plots and lines of fit	2 days	Interpret points on a scatter plot. Write equations for lines of fit.
		End Module/Chapter Test	1 day
				End Chapter 5 – 12 Instructional Days
				Solving Linear Inequalities
2	6.1	Solving Inequalities by Addition and Subtraction	1 day	Solve linear inequalities by using addition. Solve linear inequalities by using subtraction.
2	6.2	Solving Inequalities by Multiplication and Division	2 days	Solve linear inequalities by using multiplication. Solve linear inequalities by using division.
2	6.3	Solving Mult-step Inequalities	1 day	Solve linear inequalities involving more than one operation. Solve linear inequalities involving the Distributive Property.
2	6.4	Solving Compound Inequalities	2 days	Solve compound inequalities containing the word and graph their solution sets. Solve compound inequalities containing the word or and graph their solution set.
2	6.5	Solving Open Sentences Involving Absolute Value	2 days	Solve absolute value equations. Solve absolute value inequalities.
2	6.6	Graphing Inequalities in Two variables	2 days	Graph inequalities on the coordinate plane. Solve real-world problems involving linear inequalities.
		End Module/Chapter Test	1 day
				End Chapter 6 – 10 Instructional Days
				Solving Systems of Linear Equations and Inequalities
2	7.1	Graphing Systems of Equations	2 days	Determine whether a system of linear equations has 0, 1, or infinitely many solutions. Solve systems of equations by graphing.
2	7.2	Substitution	2 days	Solve systems of equations by using substitution. Solve real-world problems involving system equations.
2	7.3	Elimination using Addition and Subtraction	2 days	Solve systems of equations by using elimination with addition. Solve systems of equations by using elimination with subtraction.
				End Term 2: 47 Days - January 25, 2008 36 Instructional Days 3 End Module/Chapter Test Days 4 Discretionary Days
3				Administer Mid-Year Examination Day 1 – Third Marking Term
3				Review Mid-Year Examination Day 2 – Third Marking Term
3	7.4	Elimination using Multiplication	2 days	Solve systems of equations by using elimination with multiplication. Determine the best method for solving systems of equations.
3	7.5	Graphing Systems of Inequalities	1 day	Solve systems of inequalities by graphing. Solve real-world problems involving systems of inequalities.
		End Module/Chapter Test	1 day
				End Chapter 7 – 9 Instructional Days
				Statistics
3	13.1	Sampling and Bias	2 days	Identify various sampling techniques. Recognize a biased sample.
3	13.2	Introduction to Matrices	2 days	Organize data in matrices. Solve problems by adding or subtracting matrices or by multiplying by a scalar.
3	13.3	Histograms	2 days	Interpret data displayed in histograms. Display data in histograms.
3	13.4	Measures of Variation	2 days	Find the range of a set of data. Find the quartiles and interquartile range of a set of data.
3	13.5	Box-and-Whisker Plots	3 days	Organize and use data in box-and-whisker plots. Organize and use data in parallel box-and-whisker plots.
		End Module/Chapter Test	1 day
				End Chapter 3 – 11 Instructional Days
				Probability
3	14.1	Counting Outcomes	1 day	Count outcomes using a tree diagram. Count outcomes using the Fundamental Counting Principle.
3	14.2	Permutations and Combinations	2 days	Determine probabilities using permutations. Determine probabilities using combinations.
3	14.3	Probability of Compound Events	2 days	Find the probability of two independent events or dependent events. Find the probability of two mutually exclusive or inclusive events.
3	14.4	Probability Distributions	2 days	Use random variables to compute probability. Use probability distributions to solve real-world problems
3	14.5	Probability Simulations	2 days	Use theoretical and experimental probability to represent and solve problems involving uncertainty. Perform probability simulations to model real-world situations involving uncertainty.
		End Module/Chapter Test	1 day
				End Chapter 14 – 9 Instructional Days
				Polynomials
3	8.1	Multiplying Monomials	2 days	Multiply monomials. Simplify expressions involving powers of monomials.
3	8.2	Dividing Monomials	2 days	Simplify expressions involving the quotient of monomials. Simplify expressions containing negative exponents.
3	8.3	Scientific Notation	1 day	Express numbers in scientific notation and standard notation. Find products and quotients of numbers expressed in scientific notation.
3	8.4	Polynomials	2 days	Find the degree of a polynomial. Arrange the terms of a polynomial in ascending or descending order.
3	8.5	Adding and Subtracting Polynomials	2 days	Add polynomials. Subtract polynomials
3	8.6	Multiplying a Polynomial by a Monomial	2 days	Find the product of monomial and polynomial. Solve equations involving polynomials.
3	8.7	Multiplying Polynomials	2 days	Multiply two binomials by using the FOIL method. Multiply two polynomials by using the Distributive Property.
3	8.8	Special Products	Optional	Find squares of sums and differences. Find the product of a sum and a difference.
		End Module/Chapter Test	1 day
				End Chapter 8 – 13 Instructional Days
				End Term 3: 48 Days –April 11, 2008 36 Instructional Days 4 End Module/Chapter Test Days 2 Mid-Year Examination Days 6 Discretionary Days
				Factoring
4	9.1	Factors and Greatest Common Factors	1 day	Find prime factorizations of integers and monomials. Find the greatest common factors of integers and monomials.
4	9.2	Factoring Using the Distributive Property	2 days	Factor polynomials by using the Distributive Property. Solve quadratic equations of the form
4	9.3	Factoring Trinomials	3 days	Factor trinomials of the form . Solve equations of the form .
4	9.4	Factoring Trinomials	2 days	Factor trinomials of the form Solve equations of the form
4	9.5	Factoring Differences of Squares	2 days	Factor binomials that are the differences of squares. Solve equations involving the differences of squares.
4	9.6	Perfect Squares and Factoring	2 days	Factor perfect square trinomials. Solve equations involving perfect squares.
		End Module/Chapter Test	1 day
				End Chapter 9 – 12 Instructional Days
				Quadratic and Exponential Functions
4	10.1	Graphing Quadratic Functions	2 days	Graph quadratic functions. Find the equation of the axis of symmetry and the coordinates of the vertex of a parabola.
4	10.2	Solving Quadratic Functions by Graphing	2 days	Solve quadratic equations by graphing. Estimate solutions of quadratic equations by graphing.
4	10.3	Solving Quadratic Functions by Completing the Square	2 days	Solve quadratic equations by finding the square root. Solve quadratic equations by completing the square.
4	10.4	Solving Quadratic Equations by Using the Quadratic Formula	3 days	Solve quadratic equations by using the Quadratic Formula. Use the discriminant to determine the number of solutions for a quadratic equation.
4	10.5	Exponential Functions	2 days	Graph exponential functions. Identify data that displays exponential behavior.
4	10.6	Growth and Decay	2 days	Solve problems involving exponential growth. Solve problems involving exponential decay.
4	10.7	Geometric Sequences	2 days	Recognize and extend geometric sequences. Find geometric means
		End Module/ Chapter Test	1 day
				End Chapter 10 – 15 Instructional Days
				End Term 4  - 43 Days - June 20, 2009 27 Instructional Days 2 End Module/Chapter Test Days 1 Final Examination Day 13 Discretionary Days