# Precalculus Curriculum

## Precalculus vs. Precalculus Honors

## Background Knowledge - Precalculus

**GEOMETRY **
Successful completion of the course with a grade of B or higher

Solid understanding of:

- Right Triangles
- Congruence Theorems
- Basic Trigonometry
- Basic understanding of proofs

**ALGEBRA 2 **
Successful completion of the course with a grade of B or higher

Solid understanding of:

- Factoring
- Simplifying fractions and radicals
- Solving a variety of equations
- Graphing a variety of functions
- Strong foundation of Algebraic skills

## Background Knowledge - Honors Precalculus

**GEOMETRY **
Successful completion of the Honors Geometry course with a grade of B or higher

Solid understanding of:

- Right Triangles
- Congruence Theorems
- Basic Trigonometry
- Complete understanding of proofs

**ALGEBRA 2 **
Successful completion of the Honors Algebra 2 course with a grade of B or higher

Complete understanding of:

- Factoring
- Simplifying fractions and radicals
- Solving all types of equations
- Graphing all types of functions
- Strong foundation of Algebraic skills
- Strong analytic skills

## Who should take this class?

### Precalculus

Students MOTIVATED TO LEARN

- Genuinely interested in learning math
- Persistent – unwilling to give up
- Ready for the "jump" to an upper level math course

Students with GREAT WORK ETHIC

- Students with DISCIPLINED WORK HABITS
- Students that are PROACTIVE when help is needed
- Can handle the nature of a cumulative course

Students with time management skills

Students with great attendance

### Honors Precalculus

Students MOTIVATED TO BE CHALLENGED

- Genuinely interested in learning math
- Persistent – unwilling to give up
- Ready to extend themselves beyond their comfort zone

Students with GREAT WORK ETHIC

- Students with DISCIPLINED WORK HABITS
- Students that are PROACTIVE when help is needed
- Can handle the nature of a cumulative course

Students with time management skills

Students with great attendance

Students who can learn at a quick pace

## Work Ethic: Students should.....

### Precalculus

- Complete all assignments on time
- Be motivated to work through difficult problems, not easily give up
- Understand the difference between homework and studying
- Check all assignments and assessment for accuracy, get extra practice if incorrect
- Study in advance to tests/quizzes
- Seek help in advance to due dates and assessments

### Honors Precalculus

- Complete all assignments on time
- Be motivated to work through challenging problems, not easily give up
- Understand the difference between homework and studying
- Check all assignments and assessment for accuracy, get extra practice if incorrect
- Study in advance to tests/quizzes
- Seek help in advance to due dates and assessments
- Be independent learners

## Lesson Structure & Expectations

### Precalculus

- Detailed lessons correspond directly to homework assignments and assessments
- Students are expected to take detailed notes and use them to complete homework and prepare for assessments
- Students are guided to make connections between concepts
- Memory retention of accumulated concepts and skills is necessary for success

### Honors Precalculus

- Lessons will guide students through the new concepts but will not cover 100% of the material
- Students are expected to take detailed notes and use them to complete homework and prepare for assessments
- To supplement the lessons taught in class, each student is expected to:
- Be able to read and learn from the textbook
- Have a well developed mathematical vocabulary

- Students are expected to be able to make connections and conjectures based on prior knowledge
- Memory retention of accumulated concepts and skills is necessary for success
- Student questions should be insightful and thought provoking

## Curriculum and Pacing

### Precalculus

- Intro to Trig
- Graphing Trig Functions
- Trig Identities
- Inverse Trig Functions
- Law of Sines and Cosines
- Vectors (not covered)
- Polars (not covered)
- Functions
- Polynomial and Rational Functions
- Exponential and Logarithmic Functions
- Matrices
- Conic Sections
- Sequences and Series (not covered)
- Parametrics (not covered)
- Intro to Limits
- Calculus (not covered)

### Honors Precalculus

- Intro to Trig
- Graphing Trig Functions
- Trig Identities
- Inverse Trig Functions
- Law of Sines and Cosines
- Vectors
- Polars
- Functions
- Polynomial and Rational Functions
- Exponential and Logarithmic Functions
- Matrices
- Conic Sections
- Sequences and Series
- Parametrics
- Intro to Limits
- Calculus

## Homework

### Precalculus

Practice, practice, practice!

Similar to the lesson

- Students will need to use their class notes to complete homework assignments accurately

Practice and repetition from the homework will prepare the student for assessments

Spend about 45min every night completing homework or reviewing course material

### Honors Precalculus

Supplemental reading may be required in addition to the lesson

- Students will need to use their class notes and read the textbook to complete homework assignments accurately

Higher level questions that extend beyond class discussion and allow students to explore and investigate mathematical concepts

Spend about 45min every night completing homework or reviewing course material

## Assessment

### Precalculus

All assessments are CUMULATIVE

Background knowledge from Algebra 1, Algebra 2, and Geometry required

Similar to class notes and homework

### Honors Precalculus

All assessments are CUMULATIVE

Background knowledge from Algebra 1, Algebra 2, and Geometry required

Similar to class notes and homework with extensions

Assessment questions combine a multitude of concepts and require students to make connections to previously learned material

## What's Next?

### Precalculus

**Probability & Statistics**- All students are qualified**AP Statistics**- Students with great work ethic and a grade of B or higher**Calculus (Non-AP)**- Students with great work ethic and a grade of C+ or higher**AP Calcuuls AB**- Students with great work ethic and a grade of B+ or higher

### Honors Precalculus

**Probability & Statistics**- All students are qualified**AP Statistics**- Students with great work ethic and a grade of C+ or higher**Calculus (Non-AP)**- Students with great work ethic and a grade of C or higher**AP Calcuuls AB**- Students with great work ethic and a grade of C+ or higher**AP Calculus BC**- Students with great work ethic and a grade of B+ or higher

## Precalculus Quiz

### True or False?

My child has a strong foundation in mathematics including Algebra 2 and Geometry.

My child is motivated and excited to work through difficult math problems.

My child has extremely disciplined work habits. (Completes all assignments on time, checks all assignments and assessments for accuracy – gets extra practice if incorrect, studies in advance to tests/quizzes)

My child is proactive and seeks help when needed.

My child has the time and motivation to put in about 45min of studying and/or homework completion each night for math class.

My child is able to make connections based on prior mathematical knowledge.

My child can handle the nature of a cumulative math course.

My child has a genuine interest in learning mathematical concepts.

## Honors Precalculus Quiz

### True or False?

My child has a very strong foundation in mathematics including Algebra 2 and Geometry.

My child is motivated and excited to work through difficult and challenging math problems.

My child has extremely disciplined work habits. (Completes all assignments on time, checks all assignments and assessments for accuracy – gets extra practice if incorrect, studies in advance to tests/quizzes)

My child is proactive and seeks help when needed.

My child has the time and motivation to put in about 45min of studying and/or homework completion each night for math class.

My child is able to make connections and conjectures based on prior mathematical knowledge.

My child can handle the nature of a cumulative math course.

My child has a genuine interest in learning, investigating, and exploring mathematical concepts.

My child has a well developed mathematical vocabulary and is able to learn and study from the textbook.

My child is able to learn math at a quick pace.

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