Reflection: Intervention and Extension Solving Quadratic Trig Equations (Day 1 of 2) - Section 2: Connecting to Prior Knowledge

 

Struggling students should hopefully be supported in their teams today. If you find that you have teams that hit a wall and are doing nothing, you may want to ask some prompting questions to get students there. For example, many of my students tried to solve the quadratic equations by doing inverses. But then they always get stuck when they can’t combine the variable with the squared variable. So I ask things like:
“Where did you get stuck?”
“Why can’t you do that?”
“What are some strategies from the brainstorming session you could try?”
 
Most of my students quickly recalled factoring, but many did not recall the quadratic formula. I had it on the board already so some students took that as a hint too and made the connection.

For my students that kept leaving off the negative solutions when directly solving (exercises 3 and 5) I asked them “How many solutions are we supposed to have?” This is one thing they KNOW! I really drilled it in the polynomials unit.

The most challenging problem for my students was exercise 2. For the middle part of the lesson today, give that to your stronger teams. They may even need a hint: FACTOR.

If students are ready for an extension, have them try the trigonometric form of the Algebraic form they were working on. I had one student who got it perfectly! I plan to use him as a tutor tomorrow.

  Differentiation Strategies
  Intervention and Extension: Differentiation Strategies
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Solving Quadratic Trig Equations (Day 1 of 2)

Unit 9: Trigonometric Equations
Lesson 10 of 16

Objective: SWBAT use their knowledge of quadratic equations to solve quadratic trig equations.

Big Idea: The class works together to review methods of solving quadratic equations and make connections to quadratic trig equations.

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1 teacher likes this lesson
Subject(s):
Math, Precalculus and Calculus, Trigonometry, PreCalculus, Solving Trigonometric Equations, quadratic trigonometric equations, inverse trigonometric functions, 12th Grade
  55 minutes
student solutions to algebraic form
 
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