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Honors Trigonometry Curriculum Map

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<strong>Honors</strong> <strong>Trigonometry</strong> <strong>Curriculum</strong> <strong>Map</strong><br />

Theme for the Unit: Theme / Unit: Chapter 1<br />

Trigonometric Functions<br />

Pacing:<br />

13 – 15 days<br />

Week:<br />

1-3<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

Trig Basics Worksheet, Trig Chart, Trig Chart Worksheets #1 and #2<br />

Special Right Triangles Worksheet<br />

Unit Circle Worksheets<br />

Supporting Materials:<br />

Online Resources<br />

Teach sections 1, 2, and 3. Then teach the trig chart starting with the Trig Basics worksheet to show how to<br />

derive function values for the first day. Next use the Unit Circle Worksheet to show where the values come<br />

from. Show the students the Unit Circle. Begin second day with filling out the trig chart using what was learned<br />

the previous day. Use Trig Chart Worksheets #1 and #2 to reinforce material.<br />

Quiz over the Unit Circle the 3 rd day.<br />

Test over trig chart on 4 th day. Students must earn 90% to pass test, otherwise must retest until attain 90%.<br />

Finish remaining sections of Chapter 1.<br />

Formative Assessments (throughout the unit):<br />

Trig Chart Test<br />

Unit Circle Quiz<br />

Mid-Chapter Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test


Theme for the Unit: Theme / Unit: Chapter 2<br />

Acute Angles and Right Triangles<br />

Pacing:<br />

6 - 7 days<br />

Week:<br />

4 - 5<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

Solving Right Triangles Worksheet (32 word problems)<br />

“Get Your Bearings” Group Activity<br />

End of Chapter Word Problem Project<br />

Supporting Materials:<br />

Online Resources<br />

Use the Solving Right Triangles Worksheet to help reinforce Section 2.4<br />

“Get Your Bearings” group activity before section 2.5<br />

Word Problem Project after Chapter Test. Give the students a week to complete.<br />

Formative Assessments (throughout the unit):<br />

Unit Circle included on test<br />

2.1 – 2.4 Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test


Theme for the Unit: Theme / Unit: Chapter 3<br />

Radian Measure and Circular Functions<br />

Pacing:<br />

6 - 7 days<br />

Week:<br />

6 - 7<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

Radian Circle Worksheet<br />

Arc Length Worksheet (word problems)<br />

Supporting Materials:<br />

Online Resources<br />

Use radian circle worksheet to teach students how to derive or count to find radian measures of unit circle<br />

angles.<br />

Use arc length worksheet to reinforce Section 3.4, using linear and angular velocity.<br />

Formative Assessments (throughout the unit):<br />

Radian Measure Quiz using Radian circle<br />

3.1 – 3.3 Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test


Theme for the Unit: Theme / Unit: Chapter 4<br />

Graphs of the Circular Functions<br />

Pacing:<br />

6 – 7 days<br />

Week:<br />

7 – 8<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

Review Worksheet<br />

Supporting Materials:<br />

Online Resources<br />

Teach the students the 4 equal parts method. The table method is too time consuming.<br />

Formative Assessments (throughout the unit):<br />

4.1 – 4.2 Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test


Theme for the Unit: Theme / Unit: Chapter 5<br />

Trigonometric Identities<br />

Pacing:<br />

12 – 15 days<br />

Week:<br />

9 – 11<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

Review Rational Expressions Worksheet<br />

5.2 Verifying Identities Worksheet<br />

Chapter Review<br />

Supporting Materials:<br />

Online Resources<br />

Quickly review working rational expressions before starting the identities.<br />

Chapter 5 Test is 50 points from M/C or short answer questions while the remaining 50 points is from working<br />

identities. Three sections of identities – Sec 1 (Easy) must work all five, Sec 2 (Medium) must work 3 of the 5,<br />

and Sec 3 (Hard) must work 2 of the five. Each is worth 5 points. Extra credit of 5 points may be given for<br />

additional identities worked (1 med and 1 hard, or 2 hard)<br />

Formative Assessments (throughout the unit):<br />

5.1 – 5.4 Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test


Theme for the Unit: Theme / Unit: Chapter 6<br />

Inverse Circular Functions and Trigonometric Equations<br />

Pacing:<br />

7 - 9 days<br />

Week:<br />

12 - 14<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

Chapter Review<br />

Supporting Materials:<br />

Online Resources<br />

Use 6.1 – 6.4 Quiz to check for understanding.<br />

Formative Assessments (throughout the unit):<br />

6.1 – 6.4 Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test


Theme for the Unit: Theme / Unit: Chapter 7<br />

Applications of <strong>Trigonometry</strong> and Vectors<br />

Pacing:<br />

7 - 9 days<br />

Week:<br />

15 – 16<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

7.1 – 7.2 Using Law of Sines and the Ambiguous Case Worksheet<br />

7.3 Law of Cosines Worksheet<br />

7.4 – 7.5 Vectors Worksheet<br />

Chapter Review<br />

Supporting Materials:<br />

Online Resources<br />

Use 7.1 – 7.3 Quiz to check for understanding.<br />

Formative Assessments (throughout the unit):<br />

7.1 – 7.3 Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test


Theme for the Unit: Theme / Unit: Chapter 8<br />

Complex Numbers, Polar Equations, and Parametric Equations<br />

Pacing:<br />

7 - 9 days<br />

Week:<br />

16 – 17<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

8.1 – 8.2 Complex Numbers Worksheet<br />

8.3: The Product and Quotient Theorems Worksheet<br />

Chapter Review<br />

Supporting Materials:<br />

Online Resources<br />

Use 8.1 – 8.4 Quiz to check for understanding.<br />

Formative Assessments (throughout the unit):<br />

8.1 – 8.4 Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test


Theme for the Unit:<br />

Resources for the Multi-<br />

Genre Unit<br />

Strategies / Best Practices<br />

Used to Teach the Skills &<br />

Concepts<br />

How Students will<br />

Demonstrate Their<br />

Understanding<br />

Theme / Unit<br />

Exponentials and Logarithms<br />

Pacing:<br />

7 - 9 days<br />

Week:<br />

17 - 18<br />

Textbook Lessons / Ancillaries:<br />

Lial, Hornsby, and Schneider <strong>Trigonometry</strong> 9 th Edition<br />

Manipulatives:<br />

Marker Boards for quick assessment during lessons.<br />

Technology:<br />

Smartboard and graphing calculator<br />

Personally Designed Materials:<br />

Notes for the following:<br />

1. Exponential Functions<br />

2. Log Functions<br />

3. Evaluating Logs and Change of Base Theorem<br />

4. Exponential and Log Equations<br />

Worksheets over each topic<br />

Exponentials and Logarithms Review<br />

Supporting Materials:<br />

Online Resources<br />

This is a good review before PreCalculus.<br />

Cover the topics in order and use designed worksheets as homework assignments.<br />

Formative Assessments (throughout the unit):<br />

Mid – Unit Quiz<br />

Summative Assessment (at the end of the unit):<br />

Chapter Test

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