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PreCalculus Instruction Manual

PreCalculus

Trigonometry, Identities, Polar Equations, Logarithms, Sequences, Limits, and Other Topics to Prepare for Calculus

PreCalculus combines classic trigonometry with the advanced algebra needed for calculus and other courses. Topics include trig ratios, trigonometric identities, laws of trigonometry, radian measure, polar equations, functions and their graphs, sequences and series, and limits.

What do I need?

To successfully complete the PreCalculus level, you will need:

  • Instruction Manual — includes detailed instructions and solutions
  • Instructional lesson videos — on DVDs and streaming within the PreCalculus Digital Pack
  • Student Workbook — includes Lesson Practice and Honors worksheets
  • Tests booklet

Browse our sets to find the best fit for your needs.

What concepts are taught in PreCalculus?

Major Concepts and Skills Include:
  • Understanding and working with trigonometric ratios, their reciprocals, and their inverses
  • Working with trigonometric expressions and identities
  • Understanding and working with polar coordinates and radian measure
  • Graphing and analyzing trigonometric functions
  • Understanding functions, limits, domain, and range
  • Working with Arithmetic and Geometric Series and Sequences
Additional Concepts and Skills:
  • Understanding and applying the Laws of Sines and Cosines
  • Understanding and applying the Sum, Difference, Double-Angle, and Half-Angle Identities
  • Proving trigonometric identities
  • Working with vectors and adding linear functions
  • Understanding and working with logarithms
  • Working with Euler’s number and natural logarithms

Lessons contained in PreCalculus

  • Lesson 01: Introduction to Trigonometry
  • Lesson 02: Inverse Trigonometric Ratios
  • Lesson 03: Interpreting the Trigonometry Tables
  • Lesson 04: Using the Trig. Table to Solve for the Unknown
  • Lesson 05: Using a Calculator and Arc Functions
  • Lesson 06: Angles of Elevation and Depression
  • Lesson 07: Angles Less Than 0°, Greater Than 360°, and Reference Angles
  • Lesson 08: Cofunctions; Negative Angle Relationships
  • Lesson 09: Proving Trigonometric Identities
  • Lesson 10: Verifying Trig. Expressions and Identities
  • Lesson 11: Sum and Difference Identities: Cosine, Sine, and Tangent
  • Lesson 12: The Double-Angle and Half-Angle Identities
  • Lesson 13: Law of Sines
  • Lesson 14: Law of Cosines
  • Lesson 15: Radian Measure
  • Lesson 16: Polar Coordinates and Rectangular Coordinates
  • Lesson 17: Polar Equations and Polar Graphs
  • Lesson 18: Vectors
  • Lesson 19: Functions: Relation, Domain, and Range
  • Lesson 20: Composite Functions
  • Lesson 21: Logarithms
  • Lesson 22: Natural Exponential and Logarithm Functions
  • Lesson 23: Graphing Sine and Cosine Functions
  • Lesson 24: Graphing the Cosecant and Secant
  • Lesson 25: Graphing the Tangent and Cotangent
  • Lesson 26: Arithmetic Sequences and Series
  • Lesson 27: Geometric Sequences and Series
  • Lesson 28: Equations with Radicals and Absolute Value
  • Lesson 29: Inequalities with Absolute Value and Radicals
  • Lesson 30: Limits
  • Appendix A: Pythagorean Theorem
  • Appendix B: Special Triangles (45° -45°-90°; 30°-60°-90°)

Lesson 6: Angles of Elevation and Depression

Use Math-U-See’s four step approach and try out an example lesson from the PreCalculus level.

Step 1: Watch the video and review the material in the sample PDF below.
Step 2: Present the concept to your child using the build, write and say method.
Step 3: Have your student practice the concept using the sample PDF below.
Step 4: Evaluate their level of mastery and if ready move on to the next lesson.20

Each lessons A, B, and C pages are used to teach the current lessons concept. The lettered lesson pages that come after those are for systematic review. These review pages may not be necessary for your child to fully complete, they should be used to practice the concepts they have not yet mastered or to review the concepts they have.

SAMPLE LESSON PDF
Still Unsure? Have your child take one of our Placement Assessments to see if this is the right level for them!
Placement Assessments

PreCalculus Set

PreCalculus Set

  • Canadian Edition
PreCalculus Set
Includes everything you need for a successful experience with PreCalculus:
  • Instruction Manual with complete solutions
  • Student Workbook
  • Tests booklet
  • Lifetime access to our PreCalculus Online Instruction with Video

$216.00

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PreCalculus Individual Items

All of our Math-U-See books are the Canadian Edition and we are the only authorized retailer in Canada able to offer it.

PreCalculus Student Pack

  • Canadian Edition
PreCalculus Instruction Manual
The PreCalculus Student Pack contains the Student Workbook with lesson-by-lesson worksheets and review pages and the PreCalculus Tests.

$69.50

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Precalculus Instruction Manual

  • Canadian Edition
PreCalculus Instruction Manual
The PreCalculus Instruction Manual features just the resources instructors need to teach this level.

$75.00

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PreCalculus Online Instruction with Video

PreCalculus Online Instruction with Video
Lifetime access to PreCalculus streaming instruction videos and online Instruction Manual, lesson and test solutions, and other online resources from any browser. Digital Access information will be sent in a separate email once the order has been processed. Note: The Online Instruction with Video does not include Student Workbooks or Tests.

$97.00

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PreCalculus DVDs

PreCalculus DVDs
The PreCalculus DVDs feature the videos instructors need to teach this level.

$74.50

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Note about the Canadian Edition: MathCanada is the only authorized distributor for the Canadian Edition of Math-U-See. Every Math-U-See book we sell will be the Canadian Edition. If you are purchasing your books from another vendor, unless they are used, will be the US version which does not contain Canadian content such as the metric system or Canadian money.