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Lesson Plans May 12 - 16
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Course Descriptions
Algebra I
I. Description of the Course
This course includes the study of such topics as working with real numbers, solving equations, factoring polynomials, polynomial arithmetic, algebraic fractions, graphing linear equations and inequalities, functions, inequalities, radicals and quadratic equations.
II. General Objectives and Goals of the Course
1. The student will be able to apply algebraic skills to solve both real world and abstract problems.
2. The student will have an understanding of algebra as a study of the structure of algebraic symbols and expressions.
3. The student will demonstrate a 70% performance level upon evaluation.
III. Method of Evaluating Performance
1. Tests (67% of final grade)
2. Homework Assignments (33% of final grade)
IV. Classroom Performance
1. Daily homework
2. Participation in discussion of each daily concept
3. Participation in written work during study period
V. Instructional Techniques
1. Work problems on board/overhead
2. Assign problems from text/worksheets
3. Discussion and oral exercises for each new concept
4. Group work during study period.
VI. Student Activities
1. Solve problems assigned
2. Participate in class discussions
3. Participate in enrichment activities
4. Take tests
VII. Audio-Visual Aids to be Utilized
1. Overhead Projector
2. Computer
3. Television and VCR
VIII. Special Projects and Enhancement Activities
1. String art
2. Origami
3. Math puzzles
4. Optical illusion coloring
5. Videos about different math topics
IX. Adaptation for Individual Differences
1. Prewritten notes so students do not have to copy from the board
2. Remediation: extra help from me; assign a tutor
3. Gifted: Assign more challenging problems as extra credit
X. Writing Component
1. Story problems
2. Biography of famous mathematician
XI. Multi-Cultural Component
1. Text attempts to be nonexclusive in the story problems.
2. Modern day mathematics originates from many different cultures.
3. Teach some math games played by children in different cultures.
XII. Course Outline
Evaluate expressions and formulas.
Use mathematical properties to simplify expressions.
Solve open sentences.
Translate verbal expressions into mathematical expressions and equations.
Add, subtract, multiply, divide and compare rational numbers.
Graph inequalities on a number line.
Write equations for verbal problems.
Solve equations containing fractions or decimals.
Solve problems that can be represented by equations.
Solve proportions and problems that can be represented by proportions.
Solve uniform motion problems.
Solve problems involving direct and inverse variation.
Solve simple and compound inequalities.
Graph solutions of open sentences that involve absolute value.
Solve problems that can be represented by inequalities.
Add, subtract and multiply polynomials.
Solve polynomial equations.
Find prime factorization of integers.
Factor polynomials.
Solve quadratic equations using factoring and the zero factor property.
Solve problems that can be represented by quadratic equations.
Simplify rational expressions.
Add, subtract, multiply and divide rational expressions.
Solve rational equations.
Solve problems involving formulas that contain rational expressions.
Graph linear equations and inequalities.
Find exact and approximate values for square roots.
Simplify radical expressions.
Add, subtract, multiply and divide radicals.
Solve problems that can be represented by radical equations.
Algebra II
I. Description of the Course
This course offers the students a sound development of the structure of the real number system. The text inludes discussions of number sentences, relations, and linear and polynomial functions that give insight to productive ideas. The study of complex numbers provides furthur opportunities for investigation of the nature of number systems. Also included are studies of conic sections, sequences and series, and logarithms.
II. General Objectives and Goals of the Course
1. The student will have an understanding of the structure of the real and complex number systems.
2. The student will be able to recognize and apply the techniques of algebra.
3. The student will demonstrate a 70% performance level upon evaluation.
III. Method of Evaluating Performance
1. Tests (67% of final grade)
2. Homework Assignments (33% of final grade)
IV. Classroom Performance
1. Daily homework
2. Participation in discussion of each daily concept
3. Participation in written work during study period
V. Instructional Techniques
1. Work problems on board/overhead
2. Assign problems from text/worksheets
3. Discussion and oral exercises for each new concept
4. Group work during study period.
VI. Student Activities
1. Solve problems assigned
2. Participate in class discussions
3. Participate in enrichment activities
4. Take tests
VII. Audio-Visual Aids to be Utilized
1. Overhead Projector
2. Computer
3. Television and VCR
VIII. Special Projects and Enhancement Activities
1. String art
2. Origami
3. Math puzzles
4. Optical illusion coloring
5. Videos about different math topics
IX. Adaptation for Individual Differences
1. Prewritten notes so students do not have to copy from the board
2. Remediation: extra help from me; assign a tutor
3. Gifted: Assign more challenging problems as extra credit
X. Writing Component
1. Story problems
2. Biography of famous mathematician
XI. Multi-Cultural Component
1. Text attempts to be nonexclusive in the story problems.
2. Modern day mathematics originates from many different cultures.
3. Teach some math games played by children in different cultures.
XII. Course Outline
Use the properties of real numbers to simplify expressions.
Solve equations using properties of equality.
Solve inequalities and graph their solution sets.
Solve absolute value equations and inequalities.
Identify different types of relations and functions.
Graph relations and functions in the rectangular coordinate system.
Solve applications of equations and inequalities.
Solve systems of equations in two or three variables.
Solve systems of inequalities.
Multiply monomials.
Represent numbers in scientific notation.
Factor polynomials.
Divide polynomials.
Simplify radical expressions.
Simplify expressions with rational exponents.
Solve equations containing radicals.
Add, subtract, multiply and divide complex numbers.
Solve quadratic equations by graphing, factoring, completing the square, and using the quadratic formula.
Write quadratic equations when two roots of the equation are known.
Solve nonquadratic equations by methods used to solve quadratic equations.
Find the distance between two points in a plane.
Find the midpoint of a line segment.
Identify and graph conic sections from their equations.
Find the nth term, the position of a given term, and arithmetic means of an arithmetic sequence.
Find sums of arithmetic series and find specific terms in the series.
Find the nth term, the position of a given term, and geometric means of a geometric sequence.
Find sums of geometric series and find specific terms in the series.
Transform equations from exponential form to logarithmic form, and vice versa.
Use properties of logarithms to solve equations.
Compute common and natural logarithms and antilogaritms.
Use logarithms to solve exponential equations.
Advanced Math
I. Description of the Course
This is a two part course. Part one is an in-depth study of trigonometry. Part two provides a preparation for college courses in calculus, abstract algebra, probability and statistics. The course is intended for students with a working knowledge of elementary and intermediate algebra, and plane geometry. Other topics covered are polynomial functions, exponential and logarithmic functions, sequences and series, determinants and matrices, and probability.
II. General Objectives and Goals of the Course
1. The student will have an understanding of the systems of mathematics.
2. The student will recognize that the manipulative techniques in a mathematical system are a reflection of the mathematical structure of that system.
3. The student will be prepared for modern courses in calculus, abstract algebra, probability, and statistics.
4. The student will demonstrate a 70% performance level upon evaluation.
III. Method of Evaluating Performance
1. Tests (67% of final grade)
2. Homework Assignments (33% of final grade)
IV. Classroom Performance
1. Daily homework
2. Participation in discussion of each daily concept
3. Participation in written work during study period
4. Participation in UNL math placement test given at the end of the school year.
V. Instructional Techniques
1. Work problems on board/overhead
2. Assign problems from text/worksheets
3. Discussion and oral exercises for each new concept
4. Group work during study period.
VI. Student Activities
1. Solve problems assigned
2. Participate in class discussions
3. Participate in enrichment activities
4. Take tests
VII. Audio-Visual Aids to be Utilized
1. Overhead Projector
2. Computer
3. Television and VCR
VIII. Special Projects and Enhancement Activities
1. String art
2. Origami
3. Math puzzles
4. Optical illusion coloring
5. Videos about different math topics
IX. Adaptation for Individual Differences
1. Remediation: extra help from me; assign a tutor
2. Gifted: Assign more challenging problems as extra credit
X. Writing Component
1. Story problems
2. Mathematics career paper
XI. Multi-Cultural Component
1. Text attempts to be nonexclusive in the story problems.
2. Modern day mathematics originates from many different cultures.
3. Teach some math games played by children in different cultures.
XII. Course Outline
Convert radian measure to degree measure, and vice versa.
Determine the sine and cosine of an angle in standard position given the coordinates of a point other than the origin on the terminal side of the angle.
Determine one of the values of sin x or cos x given the other value and the quadrant in which x lies.
Find values or approximate values of cos x and sin x for specified angles x.
Sketch the graph of y = A sin Bx and y = A cos Bx for given constants A and B.
Find values for sec x, tan x, csc x, and cot x for certain specified values of x.
Solve and apply solutions of right triangles.
Prove simple trigonometric identities.
Use reduction formulas to find function values in quadrants other than Quadrant I.
Use formulas of sums and differences of trigonometric function values to evaluate expressions involving such sums and differences.
Prove simple trigonometric identities involving double- and half-angle formulas.
Apply the law of cosines and the law of sines to solve general triangles.
Apply the law of cosines and the law of sines to solve simple practical problems.
Find values of inverse trigonometric functions.
Solve simple trigonometric sentences.
Determine an arithmetic sequence when the first term and a rule for computing each successive term from the preceding term are given.
Find a specified term of an arithmetic sequence when two terms, or one term and the common difference, are given.
Find the sum of a given arithmetic series.
Solve practical problems involving arithmetic sequences and series.
Find a specified term of a geometric sequence when two terms, or one term and the common ratio, are given.
Insert any number of geometric means between two given numbers.
Find the sum of a given geometric series.
Find the absolute value of the difference between the limit of a convergent sequence and a term in the sequence.
Find the sum of a convergent geometric series.
Find the distance between two points in a plane.
Find the midpoint of a line segment.
Write equations for and graph circles, parabolas, ellipses, and hyperbolas.
Simplify expressions involving rational and real number exponents.
Solve simple exponential equations.
Convert sentences from exponential to logarithmic form and vice versa.
Identify integral logarithms to various bases.
Find the logarithm and antilogarithm of a given number.
Use logarithms to make calculations.
Use logarithms to solve exponential equations.
Add, subtract, and multiply matrices.
Solve matrix equations.
Solve simultaneous equations using Cramer’s Rule.
Begin probability with understanding of the Fundamental Counting Principle, permutations, and combinations.
General Math
I. Description of the Course
This course includes the study of charts and tables, statistics, proportions, percents, graphs, probability, measurement, informal geometry, rational numbers, using formulas, pattern, functions, and the coordinate plane
II. General Objectives and Goals of the Course
1. The student will have an understanding of basic mathematical skills and will be able to apply this knowledge to real world problems.
2. The student will demonstrate a 70% performance level upon evaluation.
III. Method of Evaluating Performance
1. Tests (67% of final grade)
2. Homework Assignments (33% of final grade)
IV. Classroom Performance
1. Daily homework
2. Participation in discussion of each daily concept
3. Participation in written work during study period
V. Instructional Techniques
1. Work problems on board/overhead
2. Assign problems from text/worksheets
3. Discussion and oral exercises for each new concept
4. Group work during study period.
VI. Student Activities
1. Solve problems assigned
2. Participate in class discussions
3. Participate in enrichment activities
4. Take tests
VII. Audio-Visual Aids to be Utilized
1. Overhead Projector
2. Computer
3. Television and VCR
VIII. Special Projects and Enhancement Activities
1. String art
2. Origami
3. Math puzzles
4. Optical illusion coloring
5. Videos about different math topics
IX. Adaptation for Individual Differences
1. Remediation: extra help from me; assign a tutor
2. Gifted: Assign more challenging problems as extra credit
X. Writing Component
1. Story problems
2. Write summaries of articles found in the media
XI. Multi-Cultural Component
1. Text attempts to be nonexclusive in the story problems.
2. Modern day mathematics originates from many different cultures.
3. Teach some math games played by children in different cultures.
XII. Course Outline
Charts and Tables
Everyday Statistics
Ratio, Proportion and Percent
Graphs
Probability
Using Probability and Statistics
Length
Other Common Measurements
Reading Measures
Geometry
Constructions
Polygons and Circles
Surface Area and Volume
Rational Numbers
Solving Open Sentences
Using Formulas
Patterns and Functions
The Coordinate Plane
Consumer Math
I. Description of the Course
This course includes skills necessary to be an educated consumer. Topics include buyer preparedness, travel and tourism, the stock market, consumer credit, personal income and independent living.
II. General Objectives and Goals of the Course
1. The student will acquire the skills to become a mathematically literate consumer.
2. The student will demonstrate a 70% performance level upon evaluation.
III. Method of Evaluating Performance
1. Tests (67% of final grade)
2. Homework Assignments (33% of final grade)
IV. Classroom Performance
1. Daily homework
2. Participation in discussion of each daily concept
3. Participation in written work during study period
V. Instructional Techniques
1. Work problems on board/overhead
2. Assign problems from text/worksheets
3. Discussion and oral exercises for each new concept
4. Group work during study period.
VI. Student Activities
1. Solve problems assigned
2. Participate in class discussions
3. Participate in enrichment activities
4. Take tests
VII. Audio-Visual Aids to be Utilized
1. Overhead Projector
2. Computer
3. Television and VCR
VIII. Special Projects and Enhancement Activities
1. String art
2. Origami
3. Math puzzles
4. Optical illusion coloring
5. Videos about different math topics
IX. Adaptation for Individual Differences
1. Remediation: extra help from me; assign a tutor
2. Gifted: Assign more challenging problems as extra credit
X. Writing Component
1. Story problems
2. Write summaries of articles found in the media
XI. Multi-Cultural Component
1. Text attempts to be nonexclusive in the story problems.
2. Modern day mathematics originates from many different cultures.
3. Teach some math games played by children in different cultures.
XII. Course Outline
Let the Buyer Beware
Measurement
The Automobile
Be Your Own Travel Agent
Investing in Stocks and Bonds
Using Graphs to Display Business Information
Buy Now/Pay Later
Credit Cards
Getting a Job
Income Taxes
Where to Live
Expenses for Your Budget
Banking
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