## Math Track Information

### Math

Math Flow Chart

Calculus Course Description

Calculus is an essential language for science and engineering.  Topics in this course include (1) rates of change, (2) differential and integral calculus, (3) transcendental functions, (4) analytic geometry and applications.

• Recommended Prerequisite:  Pre Calculus
• Credits: A one high school credit
• Fulfills a math elective
• Students will complete in 12th grade

Statistics Course Description

Statistics is the language of persuasion.  Students will cover topics including (1) averages, (2) Standardized scores, (3) significance, (4) confidence intervals.

• Recommended Prerequisite:  Algebra 2
• Credits: A one high school credit
• Fulfills a math elective
• Students will complete in 12th grade

Pre-Calculus Course Description

Pre-calculus is College Level Algebra.  It will continue to extend the ideas of (1) functions: graphs, transformations, combinations and inverses, (2) Polynomials, (2) rational expressions, (3) exponential and logarithmic functions and applications, (4) Systems of equations and matrices. Graphing calculator required.

Pre-calculus includes Trigonometry.  Topics for this course include (1) trigonometric functions, (2) trigonometric equations, and (3) introduction to vectors.

This course is taught as a yearlong course.  Students may opt to take this course as concurrent enrollment through Utah State University.

• Recommended Prerequisite:  Geometry and Math ACT score of at least 23 or satisfactory score on Math Placement Exam (1010 final or Accuplacer)
• Credits: A one high school credit (up to 6 credits through USU at personal cost)
• Fulfills a math elective
• Students will complete in 11th or 12th grade

Pre-Calculus  (Algebra 2 with interpretation and usage of)

1. I can solve rational (fractional) inequalities.
2. I can identify the domain of a function and the domain of a function composition.
3. I can identify a parent function and the transformations of it.
4. I can find the inverse of a function, and interpret the results.
5. I can find the asymptote of rational equations.
6. I can write an equation representing a quadratic relationship.
7. I can find the zeros of polynomial function, using factoring, quadratic and synthetic division.
8. I can find complex zeros of polynomial functions.
9. I can solve logarithmic equations using exponential form.
10. I can solve exponential equations using logarithms.
11. I can use the properties of logarithms to simplify logarithms.
12. I can decompose a fraction into partial fractions.
13. I can use matrices to solve systems of equations.
14. I can find the inverse and determinant of a matrix.
15. I can solve a system of nonlinear equations.
16. I can create an exponential growth or decay model and use it to extrapolate information.

APPLIED MATHEMATICS Course Description

This course is designed to have students refresh and review their basic Algebra Skills upon completion of the Geometry course.  There will be a strong focus on solving linear and quadratic equations and right triangle trigonometry and rational expressions.  This course will focus on real world problems and how to solve them.

• Recommended Prerequisite:  Geometry
• Credits: A one credit course
• Fulfills the math elective credit
• Students will complete in 11th grade

1. I can identify a parent function and the transformations of it.
2. I can find the inverse of a function, and interpret the results.
3. I can find the asymptote of rational equations.
4. I can write an equation representing a quadratic relationship.
5. I can find the zeros of polynomial function, using factoring, quadratic and synthetic division.
6. I can find complex zeros of polynomial functions.
7. I can solve logarithmic equations using exponential form.
8. I can solve exponential equations using logarithms.
9. I can use the properties of logarithms to simplify logarithms.
10. I can use matrices to solve systems of equations.
11. I can find the inverse and determinant of a matrix.
12. I can solve a system of nonlinear equations.
13. I can use tools and technology to help me understand real world problems.

Algebra One Course Description

Course Description
Algebra I provides a formal development of the algebraic skills and concepts necessary for students to succeed in advanced courses.  In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations.  The concept of function is emphasized throughout the course.  Topics include: (1) operations with real numbers, (2) linear equations and inequalities, (3) relations and functions, (4) polynomials, (5) algebraic fractions, (6) nonlinear equations, and (7) counting principles and probabilities.

• Credits: A one credit course
• Fulfills the Algebra I requirement for graduation and Hathaway
• Students will take this course in 8th or 9th grade

Algebra 1

Major concepts

1. I can use basic math operations (i.e. order of operations, distributive property, associative property, etc.) to solve equations.
2. I can solve multi-step equations.
3. I can solve multi-step inequalities by graphing or a number line.
4. I can find the slope between 2 points.
5. I can find the equation of a line and graph a line in slope-intercept form.
6. I can find the equation of a line and graph a line in standard form.
7. I can find the equation of a line and graph a line in point-slope form.
8. I can use a formula to find solutions to real world problems.
9. I can use a graph to make educated guesses from the data.
10. I can solve a proportion.
11. I can find the distance between points.
12. I can find the midpoint between points.
13. I can use measurement formulas to find the missing piece.
14. I can find the mean, median, and mode.

Algebra 2 Course Description

Course Description
Algebra II is a course that extends the content of Algebra I and provides further development of the concept of a function.  Topics include: (1) relations, functions, equations and inequalities, (2) polynomials; (3) algebraic fractions; (4) logarithmic and exponential functions; (5) sequences, (6) systems of linear equations, and (7) counting principles and probability.

• Recommended Prerequisite:  Algebra I
• Credits: A one credit course
• Fulfills the Algebra II requirement for graduation
• Students will complete in 9th or 11th grade

Algebra 2

Major concepts

1. I can identify a parent function and the transformations of it.
2. I can find the inverse of a function, and interpret the results.
3. I can find the asymptote of rational equations.
4. I can write an equation representing a quadratic relationship.
5. I can find the zeros of polynomial function, using factoring, quadratic and synthetic division.
6. I can find complex zeros of polynomial functions.
7. I can solve logarithmic equations using exponential form.
8. I can solve exponential equations using logarithms.
9. I can use the properties of logarithms to simplify logarithms.
10. I can use matrices to solve systems of equations.
11. I can find the inverse and determinant of a matrix.
12. I can solve a system of nonlinear equations.
13. I can use trigonometric functions to solve triangles.

# Geometry Course Description

Course Description

Geometry is a course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions.  It includes the study of transformations and right triangle trigonometry.  Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed.  It also emphasizes writing proofs to solve (prove) properties of geometric figures.

• Recommended Prerequisite:  Algebra II
• Credits: A one credit course
• Fulfills the Geometry requirement for graduation
• Students will complete in 10th grade

Geometry

I can understand basic Geometry vocabulary

I can solve problems involving properties of parallel and perpendicular lines.

I can identify, prove, and solve problems involving relationships within congruent triangles.

I can solve problems involving polygons and quadrilaterals.

I can use polygon similarity to solve problems.

I can solve problems involving right triangles using trigonometry.

I can identify translations, rotations, and reflections and combinations of such.

I can find the area of various polygons, circles, and sectors.

I can find surface area and volume of three-dimensional shapes.

I can write and equation for, and graph a circle in the coordinate plane.