High School Math Curriculum
Precalc
Course Description:
This course is an extension of Algebra 2 covering the topics in greater depth. It also includes different topics to ensure a smooth transition into Calculus.

Units:
 Functions
 Polynomials and Rational Functions
 Exponential and Logarithmic Functions
 Trigonometric Functions Real Numbers/Angles
 Analytic Trigonometry
 Analytic Geometry
 Polar Coordinates and Vectors
 Finding Limits

Skills and Understandings:
 Students will be able to identify functions and their families
 Students will be able to recognize and follow patterns learned in previous mathematics courses and apply them to more sophisticated problems
 Students will be able to graph functions and to interpret them by general shape, and their intercepts.
 Students will be able to analyze rational expressions by looking at their behavior, and finding asymptotes.
 Students will be able to analyze trigonometry in terms of radians and the last of the 6 trigonometric functions.
 Students will be able to recognize that logarithms are exponents and behave as such.
 Students will be able to model real world phenomena using linear, quadratic, or cubic functions.

This course upholds the KAS Mission Statement by:
 Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
 Allowing students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations
 Teaching students that mathematical rigor is global and that mathematical communication is universal.
 Encouraging students to develop a commitment to their own learning though mathematics.

Algebra II
Course Description:
This course is an extension of Algebra I with topics reinforced at a greater depth. The goals of this course are to advance students’ understanding of algebraic concepts and to fully prepare them for PreCalculus.


Units:
 Functions – Linear, quadratic, exponential, logarithmic, polynomial, periodic
 Modeling with functions
 Trigonometry
 Linear Systems
 Complex Numbers
 Analytic Geometry
 Limits


Skills and Understandings:
 Students will understand exponents (fractional, negative)
 Students will understand equations of lines and how they can be transformed
 Students will be able to solve equations for the required variable
 Students will understand functions, what they are and how to transform them.
 Students will be able to solve quadratic equations by factorizing, completing the square and the quadratic formula
 Students will understand even and odd functions and their ends
 Students will be able to find the composition of functions
 Students will be able to find the inverse of functions
 Students will be able to divide polynomials and find all the zeros
 Students will be able to model real life phenomena using linear, quadratic and cubic models


This course upholds the KAS Mission Statement by:
 Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
 Allowing students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations
 Teaching students that mathematical rigor is global and that mathematical communication is universal.
 Encouraging students to develop a commitment to their own learning though mathematics.


Geometry
Course Description:
This standard first course in Geometry covers the required concepts of Euclidean Geometry. Emphasis is on deductive and inductive reasoning, basic right angle trigonometry, realizing that geometry and algebra are not separate courses, and answering the question: “How do you know?”

Units:
 Foundations of Geometry
 Geometric Reasoning
 Parallel and Perpendicular Lines
 Triangle Congruence
 Properties and Attributes of Triangles including Special Right Triangles
 Polygons and Quadrilaterals
 Similarity
 Right Triangle Trigonometry
 Transformational Geometry
 Circles


Skill and Understandings:
 Students will be able to use deductive reasoning to prove basic theorems
 Students will learn sever different types of problem solving strategies (including drawing diagrams, looking for patterns, working backwards from conclusion to hypothesis, etc.)
 Students will be able to define and use parallel lines, angles and angle measures, quadrilaterals, convex polygons.
 Students will be able to prove triangles congruent
 Students will be able to use prove similarity/use scale factors and understand proportion/scale drawing.
 Students will be able to use the Pythagorean theorem to find the lengths of the sides of fight triangles, and carry on to right angle trigonometry.
 Students will be able to use coordinate geometry to prove diagonals perpendicular, segments equal, and segments parallel.
 Students will be able to use transformations in the coordinate plane and to describe movement in the plane as transformations.


This course upholds the KAS Mission statement by:
 Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
 Allowing students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations
 Teaching students that mathematical rigor is global and that mathematical communication is universal.
 Encouraging students to develop a commitment to their own learning though mathematics.


Business Math
Course Description:
Business Mathematics maximizes student interest through realworld applications. The key concepts covered include bank services, payroll, business discounts and markups, simple and compound interest, stocks and bonds, consumer loans, taxes and insurance, depreciation, financial statements, and business statistics.

Units:
 Whole Numbers and Decimals
 Fractions
 Percent
 Bank Services
 Payroll
 Mathematics of Buying
 Mathematics of Selling
 Simple Interest
 Compound Interest
 Annuities, Stocks, and Bonds
 Business and Consumer Loans
 Taxes and Insurance
 Depreciation
 Financial Statements and Ratios
 Business Statistics

Skill and Understandings:
 Students will understand and recall skills for whole numbers and decimals.
 Students will understand the use and the relationship between whole numbers, decimals, fractions, and percent.
 Students will understand bank services and payroll
 Students will understand the mathematical concepts of buying and selling.
 Students will understand simple and compound interest.
 Students will understand the basics of the stock market and bonds.
 Students will understand the basics of statistics.

This course upholds the KAS Mission statement by:
 Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
 Awarding students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations.
 Teaching students that mathematical rigor is global and that mathematical communication is universal.
 Encouraging students to develop a commitment to their own learning though mathematics.

Consumer Math
Course Description:
This course provides students with key math concepts essential for successful adult living. From buying groceries to budgeting for housing, education, and travel. Students gain practical math competence through realworld examples in the areas of money management, banking, creditcard math, career choices, consumerism, jobs, and everyday living.

Units:
 On Your Own
 Making and Changing Your Budget
 Banking and Saving
 Cash or Credit
 Selecting Housing
 Buying and Preparing Food
 Buying Personal Items
 Owning a Vehicle
 Recreation, Travel, and Entertainment

Skill and Understandings:
 Students will understand and recall skills and concepts used to distinguish the importance between wants and needs.
 Students will understand methods used to make and maintain a budget.
 Students will understand the needs and requirements of a savings account.
 Students will understand the uses and benefits of using cash and credit.
 Students will understand the importance of selecting housing.

This course upholds the KAS Mission statement by:
 Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
 Awarding students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations.
 Teaching students that mathematical rigor is global and that mathematical communication is universal.
 Encouraging students to develop a commitment to their own learning though mathematics.

Statistics
Course Description:
The goals of this course are to advance students’ understanding of the concepts of Statistics. The topics to be covered will include: graphing, distributions, statistical relationships, probability, random variables, and testing a claim. The required text is The Practice of Statistics (3^{rd} Edition) by Yates, Moore, and Starnes. Students are expected to come to class prepared with a notebook, pencil, eraser and a TI83 or TI84 calculator.

Units:
 Exploring Data
 Describing location in a distribution
 Relationships between two variables.
 Producing data
 LeastSquare Regression Lines
 Statistical Probability
 Sampling distributions
 Transforming to Achieve Linearity

Skill and Understandings:
 Students will be able to display distributions with graphs.
 Students will understand normal distributions.
 Students will understand and use standard deviations.
 Students will be able to use mean, median, and mode.
 Students will be able to use leastsquare regression lines.
 Students will be able to standardize data into Zscores.
 Students will be able to analyze scatterplots and correlations
 Students will be able to design samples from statistical data.

This course upholds the KAS Mission statement by:
 Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
 Allowing students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations
 Teaching students that mathematical rigor is global and that mathematical communication is universal.
 Encouraging students to develop a commitment to their own learning though mathematics.

Advanced Placement Calculus
Course Description:
This course covers each topic in the Calculus AB topic outline as it appears in the AP® Calculus Course Descriptions. The objective of this course is to give students the understanding of calculus concepts, related mathematical skills and appropriate technology necessary for success in collegiate mathematics and also prepare students for success on the Advanced Placement Exam. Students will have the opportunity to work problems verbally, graphically, numerically, and analytically. Students will establish a strong foundation and understanding in Calculus by practical application, which cannot simply be accomplished by the memorization of rules, but rather through understanding each concept.

Units:
 PreCalculus Topics
 Rates of Change and Limits
 Derivatives
 Differentiation rules
 Applications of Differentiation
 Integrals
 Differential Equations
 Application of Integration

Skill and Understandings:
 Students will understand and recall skills and concepts used in PreCalculus class.
 Students will understand Rates of Change and Limits and how to evaluate them.
 Students will be able to derive equations and understand the basic derivative rules.
 Students will derive the different differentiation rules and understand how to apply them.

This course upholds the KAS Mission statement by:
 Allowing students to explore through the means of technology (graphical calculators and computers) the world of mathematics.
 Awarding students the opportunity to explore and experiment with mathematical concepts in order to develop solutions and generalizations.
 Teaching students that mathematical rigor is global and that mathematical communication is universal.
 Encouraging students to develop a commitment to their own learning though mathematics.
