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Home Products Math-U-See Curriculum PreCalculus

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.

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Scope and Sequence

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Sample Lesson

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  • 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°)

Sample Lesson

View a PreCalculus Sample PDF

Placement

Your student may be ready for PreCalculus if they have successfully completed Algebra 1, Geometry, and Algebra 2.

Math-U-See’s placement tools are designed to help ensure proper initial placement and will give you a clear indication if your student is ready for PreCalculus.

Placement Tool for Individual Users

Placement Tools for Classroom Users

The Four-Step Approach

Get the most out of Math-U-See by using the four-step approach.


Step 1
Prepare for the lesson

Step 2
Present and explore
the new concept

Step 3
Practice for mastery

Step 4
Progress after mastery
Read More About Using Our Four-Step Approach

Placement

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The Four-Step Approach

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PreCalculus

What do I need? Set Student Workbook and Tests Instruction Manual Online Instruction with Video

What do I need?

To successfully complete the PreCalculus level, you will need:

  • Instruction Manual — includes detailed instructions and solutions
  • Instructional lesson videos — available streaming online or on DVD
  • Student Workbook — includes Lesson Practice, Systematic Review, and Application and Enrichment worksheets
  • Test booklet

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

Purchasing for a classroom?

Typically, sets are not recommended for a classroom setting. If you are purchasing for a school or large group, please contact our School Sales Team.

Our School Sales Team:

  • Provides customized quotes—ensuring you receive the correct products at the best pricing
  • Manages purchase orders
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  • Allows you to apply your tax-exempt status

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PreCalculus Set

Empower your student with this comprehensive set designed to provide everything you need to get started in the PreCalculus level of Math-U-See. The PreCalculus Set is ideal for instructors who are new to Math-U-See or do not own any of the components necessary for the PreCalculus level. It comes complete with every component necessary for instruction, including:

  • Instruction Manual with complete solutions
  • Lifetime Access to Online Instruction with Video
  • Student Workbook
  • Tests booklet

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Student Workbook and Tests

Equip your student with the materials they need to take their learning to the next level. The PreCalculus Student Workbook and Tests features just the student resources and is ideal for learning environments where the instructor already owns the Instruction Manual and lesson videos, and the student needs only the consumable materials.

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Instruction Manual

The PreCalculus Instruction Manual includes the resources instructors need to teach this level and is ideal for instructors who already have access to the instruction videos, and whose students have the Student Workbook and Tests booklet.

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Online Instruction with Video

Conveniently access the instruction videos you need to complete the PreCalculus level of Math-U-See. The user-friendly Digital Toolbox is easy to access and navigate so you and your student can effortlessly stream instruction videos and monitor progress. You’ll also enjoy the online Instruction Manual, and lesson solutions. The PreCalculus Online Instruction with Video makes digital Demme Learning resources available from the convenience of your phone, laptop, tablet, or any device equipped with a web browser.

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Instructional videos can also be purchased on DVD.

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      • Algebra 1: Legacy Edition
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