Digital Agenda

Week of

February 9, 2015 to February 13, 2015

Unit 4: Introduction to Trigonometry

Check In/Do Now: Homework Corrections

Essential Question (s): Whatis the criteria used to show triangles are similar?
What is the connection between the acute angle in a right triangle and the side ratios that it determines?
When is the Pythagorean theorem used?
 What is the definition of similarity?
 What is the definition of the trigonometric ratios?
 When do we use the sine function to find missing measurements of a right triangle.?
What are the steps used for solving a word problem involving trig ratios?
Standard(s) from Instructional Guide:
G-SRT
6.0 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangles,
leading to definitions of trigonometric ratios for acute angles.
7.0 Explain and use the relationship between the sine and cosine of complementary angles
8.0 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
F.TF Trigonometric Functions
1.0 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
Student Objective (s): Students will:
  1. Explain and use the relationship between the sine and cosine of complementary angles.
  2. Use Trigonometry ratios and the Pythagorean Theorem to solve right
Triangles in applied problems.
  1. Apply right triangle trigonometry to find the sides of right triangles.
  2. Convert radians to degrees
  3. Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions
to all real numbers.
Assessment and Student Reflection:
End of a lesson writing reflection
WHOLE GROUP
Demonstrate how to use “ask myself “ questions to understand problems
  1. What questions can you ask yourself to make sense of a problem?
  1. What can you do if you get stuck on a problem?
  1. Are there words that you don’t undersand?
  1. What is the problem talking about?
  1. What are the numbers in the problem and what do they mean?

DIRECTSTATION / COLLABORATIVE STATION / INDEPENDENT STATION
Lead a group discussion in which students
Analyze properties of similar right triangles.
Students also explain their understanding
of all trigonometric ratios. / Have students work on their own for several minutes before interacting with their partner. Partners should focus on explaining to each other how they arrived at the solution.
Students will explore all properties of parallelograms. Students will work on proofs that involve parallelograms. /
  1. Review trig ratios
select trig ratios: sin, cos, tan
2.Pearson
Unit 12
Lessons 3 The Unit Circle