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trigonometry unit by ashrafp

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									                                   Standards-Based Unit Planning Template

                 Leslie County High School Unit Planning Template Mathematics

         Teacher(s) D. Asher                        Subject(s)/Course(s):
         Grade/Level:

         Unit Topic/Focus:

         Estimated time for implementation and Dates:

                           Kentucky Academic Common Core Standards
       Clusters and Instructional Notes                              Common Core State Standards


 Define trigonometric ratios and solve               G.SRT.6 Understand that by similarity, side ratios in right triangles
problems involving right triangles.                  are properties of the angles in the triangle, leading to definitions of
 Apply geometric concepts in modeling              trigonometric ratios for acute angles.
situations.                                          G.SRT.7 Explain and use the relationship between the sine and cosine of
Focus on situations well modeled by                  complementary angles.
trigonometric ratios for acute angles.               G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve
                                                     right triangles in applied problem.



                     Unpacking of Standard: Target s/Formative Assessments
  Date        Type                        Target                                    Formative Assessment
3-8          s           I will use the Pythagorean Theorem to         Pre-test
                         find the hypotenuse of a right triangle
3-9          r           I will use “special right triangles” to       Bell ringer and exit slip
                         find missing sides and angles
3-10         k           I will identify and label the sides of a      Hand signals
                         right triangle from a given angle (opp,
                         adj, hyp)
3-11         k           I will write the ratios for sine, cosine,     Sticky bars
                         tangent
3-14         r           I will use trigonometry ratios to solve       Compare/contrast (use sin, cos, tan)
                         for missing legs and hypotenuse of
                         right triangles
3-17         s           I will use trigonometry ratios to solve       Quiz
                         for missing angles and sides of right
                         triangles
3-16         s           I will solve “real-world” problems            Hand signals
                         involving angle of
                         elevation/depression and trig
3-18         s           I will convert degrees to radians and         Exit slips
                         vice versa.
                         I will use this in completing my unit
                         circle
3-21         s           I will finish completing my unit circle       Thumb it.
                         using special right triangles.
3-22         s           I will find all trig functions given an       Whiteboards
                         angle Ө
3-23         s           Review
3-24         s           test

                                                           1
                      Standards-Based Unit Planning Template

  Unit Organizer:
  A statement or question that:
       Focuses on realistic issues or problems
       Communicates the CCSS in a way that engages students
       Connects learning to prior knowledge, experiences, skills, beliefs, and customs
Can I solve right triangles for any missing parts?


  Part 1: Unit Planning Template
  Essential Questions (3-5 questions that guide lesson planning/focus):
  Each question reflects
       Selected content standards
       Thinking, Problem-Solving, Application of Learning
       Engaging, Student-Centered Instruction
Can I use Pythagorean them?
Can I use trig ratios?

  Part 1: Unit Planning Template
  Summative Assessment/Culminating Assessment:
  A product or performance that
      Allows learner to demonstrate their knowledge of targeted content standards
          through a variety of formats (Universal Design).
      Offers choice to meet learners differentiated needs.
      Directs the development of instructional strategies and activities.
      Includes scoring guide/rubric to inform learners of expectations.

      Attach Summative Assessments to Hard Copy o f Lesson plan and attach
      electronically to this unit.



  Resources/Technology: X and Date Table:
  DATE      Doc. Camera      SMART Board         Navigators   Graph. Cal.     Soft Ware
   3-8                           X                                X
   3-9                           X                                X
  3-10                           X                                X
  3-11                           X                                X
  3-14                           X                                X
  3-15                           X                                X
  3-16                           X                                x
  3-17
  3-18           X
  3-21           X
  3-22                             x
  3-23                             X




                                             2
                         Standards-Based Unit Planning Template

Focused Standard:
 G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to
 solve right triangles in applied problems..




Targeted Essential Question(s):
Can I find the missing side?



                                       Daily Learning Target
I can…find the missing side of a right triangle
I can.. prove it’s a right triangle

Formative Assessment
 x Pre-Assessment                 Traffic Lights/                              Sticky Bars
    Muddiest Point                Human Graph                                  Idea Spinners
    Thumb-It                      Post-Its                                     Comparison Charts
    KWL/           X              Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer                     Ringer
    Flashback                     Self-Assessment /Reflection                  Example/ Non-example
                                  (Cornell Notes e.g. “I use to think”,” I
                                  learned”)
   Foldable            Give me Five                                            Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                                        White Boards
   Other:              Choral Response                                         First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                           Product:
   Model OR (WE DO)                                                Other:

Strategies (check all that apply)
 X Note Making Strategy                                                 Teacher /Peer Conferencing
     Cooperative learning                                               Generating and testing hypotheses
     Questions, cues and advanced organizers                            Comparing and Contrasting
     Vocabulary Building Strategy                                       Setting objectives and providing descriptive
                                                                        feedback
     Non-linguistic representations                                     Other

 Before:                                During:                                After:
                                        Pre-test                               Teacher will review
 Bell ringer: similar triangles                                                which answers were
                                                                               missed and go over how
                                                                               to correctly do them.




                                                           3
                             Standards-Based Unit Planning Template


Focused Standard: G.SRT.6 Understand that by similarity, side ratios in right triangles
are properties of the angles in the triangle, leading to definitions of
trigonometric ratios for acute angles.


Targeted Essential Question(s):
Can I use special right triangles to solve right triangles?



                                           Daily Learning Target
I can… use special right triangles to solve right triangles
I can..




                                                                4
                     Standards-Based Unit Planning Template

Focused Standard: Conversion of degrees to radians and vice-versa



Targeted Essential Question(s):
Can I convert to both.



                                 Daily Learning Target
I can…convert degrees to radians.
I can..convert radians to degrees.

Formative Assessment
    Pre-Assessment          Traffic Lights/                              Sticky Bars
    Muddiest Point          Human Graph                                  Idea Spinners
    Thumb-It                Post-Its                                     Comparison Charts
    KWL/           X        Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer      X        Ringer
    Flashback               Self-Assessment /Reflection                  Example/ Non-example
                            (Cornell Notes e.g. “I use to think”,” I
                            learned”)
   Foldable            Give me Five                                      Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                                  White Boards
   Other:              Choral Response                                   First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                     Product:
   Model OR (WE DO)                                          Other:

Strategies (check all that apply)
 X Note Making Strategy                                           Teacher /Peer Conferencing
     Cooperative learning                                         Generating and testing hypotheses
     Questions, cues and advanced organizers                      Comparing and Contrasting
     Vocabulary Building Strategy                                 Setting objectives and providing descriptive
                                                                  feedback
     Non-linguistic representations                               Other

 Before:                          During:                                After:
 Bell Ringer- solve a right       Teacher will                           Exit slip convert -2л/3 to
 triangle using trig ratios       demonstrate the method                 degrees and 135 to
                                  for converting.                        radian measure.
                                  Teacher will also
                                  introduce the unit circle
                                  and how to fill it in.




                                                     5
                         Standards-Based Unit Planning Template




     Focused Standard:



     Targeted Essential Question(s):




                                     Daily Learning Target
     I can…
     I can..

Formative Assessment
    Pre-Assessment       Traffic Lights/                              Sticky Bars
    Muddiest Point       Hu an Graph                                  Idea Spinners
    Thumb-It             Post-Its                                     Comparison Charts
    KWL/                 Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer            Ringer
    Flashback            Self-Assessment /Reflection                  Example/ Non-example
                         (Cornell Notes e.g. “I use to think”,” I
                         learned”)
   Foldable            Give me Five                                   Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                               White Boards
   Other:              Choral Response                                First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                  Product:
   Model OR (WE DO)                                       Other:

Strategies (check all that apply)
     Note Making Strategy                                      Teacher /Peer Conferencing

                                                         6
                         Standards-Based Unit Planning Template

   Cooperative learning                          Generating and testing hypotheses
   Questions, cues and advanced organizers       Comparing and Contrasting
   Vocabulary Building Strategy                  Setting objectives and providing descriptive
                                                 feedback
   Non-linguistic representations                Other

Before:                       During:                   After:




                                             7
                   Standards-Based Unit Planning Template




Focused Standard:



Targeted Essential Question(s):




                              Daily Learning Target
I can…
I can..

Formative Assessment
    Pre-Assessment       Traffic Lights/                             Sticky Bars
    Muddiest Point       Human Graph                                 Idea Spinners
    Thumb-It             Post-Its                                    Comparison Charts
    KWL/                 Exit-Slips/Entry Slips/Bell                 3 Minute Pause
    Organizer            Ringer
    Flashback            Self-Assessment /Reflection                 Example/ Non-example
                         (Cornell Notes e.g. “I use to think”,” I
                         learned”)
   Foldable            Give me Five                                  Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                              White Boards
   Other:              Choral Response                               First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                  Product:
   Model OR (WE DO)                                       Other:

Strategies (check all that apply)

                                                  8
                   Standards-Based Unit Planning Template

   Note Making Strategy                          Teacher /Peer Conferencing
   Cooperative learning                          Generating and testing hypotheses
   Questions, cues and advanced organizers       Comparing and Contrasting
   Vocabulary Building Strategy                  Setting objectives and providing descriptive
                                                 feedback
   Non-linguistic representations                Other

Before:                       During:                   After:




                                             9
                   Standards-Based Unit Planning Template




Focused Standard:



Targeted Essential Question(s):




                              Daily Learning Target
I can…
I can..

Formative Assessment
    Pre-Assessment       Traffic Lights/                              Sticky Bars
    Muddiest Point       Human Graph                                  Idea Spinners
    Thumb-It             Post-Its                                     Comparison Charts
    KWL/                 Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer            Ringer
    Flashback            Self-Assessment /Reflection                  Example/ Non-example
                         (Cornell Notes e.g. “I use to think”,” I
                         learned”)
   Foldable            Give me Five                                   Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                               White Boards
   Other:              Choral Response                                First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                  Product:
   Model OR (WE DO)                                       Other:

Strategies (check all that apply)
     Note Making Strategy                                      Teacher /Peer Conferencing

                                                 10
                   Standards-Based Unit Planning Template

   Cooperative learning                           Generating and testing hypotheses
   Questions, cues and advanced organizers        Comparing and Contrasting
   Vocabulary Building Strategy                   Setting objectives and providing descriptive
                                                  feedback
   Non-linguistic representations                 Other

Before:                       During:                    After:




                                             11
                   Standards-Based Unit Planning Template




Focused Standard:



Targeted Essential Question(s):




                              Daily Learning Target
I can…
I can..

Formative Assessment
    Pre-Assessment       Traffic Lights/                              Sticky Bars
    Muddiest Point       Human Graph                                  Idea Spinners
    Thumb-It             Post-Its                                     Comparison Charts
    KWL/                 Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer            Ringer
    Flashback            Self-Assessment /Reflection                  Example/ Non-example
                         (Cornell Notes e.g. “I use to think”,” I
                         learned”)
   Foldable            Give me Five                                   Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                               White Boards
   Other:              Choral Response                                First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                  Product:
   Model OR (WE DO)                                       Other:

Strategies (check all that apply)
     Note Making Strategy                                      Teacher /Peer Conferencing

                                                 12
                   Standards-Based Unit Planning Template

   Cooperative learning                           Generating and testing hypotheses
   Questions, cues and advanced organizers        Comparing and Contrasting
   Vocabulary Building Strategy                   Setting objectives and providing descriptive
                                                  feedback
   Non-linguistic representations                 Other

Before:                       During:                    After:




                                             13
                   Standards-Based Unit Planning Template




Focused Standard:



Targeted Essential Question(s):




                              Daily Learning Target
I can…
I can..

Formative Assessment
    Pre-Assessment       Traffic Lights/                              Sticky Bars
    Muddiest Point       Human Graph                                  Idea Spinners
    Thumb-It             Post-Its                                     Comparison Charts
    KWL/                 Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer            Ringer
    Flashback            Self-Assessment /Reflection                  Example/ Non-example
                         (Cornell Notes e.g. “I use to think”,” I
                         learned”)
   Foldable            Give me Five                                   Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                               White Boards
   Other:              Choral Response                                First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                  Product:
   Model OR (WE DO)                                       Other:

Strategies (check all that apply)
     Note Making Strategy                                      Teacher /Peer Conferencing

                                                 14
                   Standards-Based Unit Planning Template

   Cooperative learning                           Generating and testing hypotheses
   Questions, cues and advanced organizers        Comparing and Contrasting
   Vocabulary Building Strategy                   Setting objectives and providing descriptive
                                                  feedback
   Non-linguistic representations                 Other

Before:                       During:                    After:




                                             15
                   Standards-Based Unit Planning Template




Focused Standard:



Targeted Essential Question(s):




                              Daily Learning Target
I can…
I can..

Formative Assessment
    Pre-Assessment       Traffic Lights/                              Sticky Bars
    Muddiest Point       Human Graph                                  Idea Spinners
    Thumb-It             Post-Its                                     Comparison Charts
    KWL/                 Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer            Ringer
    Flashback            Self-Assessment /Reflection                  Example/ Non-example
                         (Cornell Notes e.g. “I use to think”,” I
                         learned”)
   Foldable            Give me Five                                   Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                               White Boards
   Other:              Choral Response                                First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                  Product:
   Model OR (WE DO)                                       Other:

Strategies (check all that apply)
     Note Making Strategy                                      Teacher /Peer Conferencing

                                                 16
                   Standards-Based Unit Planning Template

   Cooperative learning                           Generating and testing hypotheses
   Questions, cues and advanced organizers        Comparing and Contrasting
   Vocabulary Building Strategy                   Setting objectives and providing descriptive
                                                  feedback
   Non-linguistic representations                 Other

Before:                       During:                    After:




                                             17
                     Standards-Based Unit Planning Template




Focused Standard:



Targeted Essential Question(s):




                                 Daily Learning Target
I can…
I can..

Formative Assessment
    Pre-Assessment          Traffic Lights/                              Sticky Bars
    Muddiest Point          Human Graph                                  Idea Spinners
    Thumb-It                Post-Its                                     Comparison Charts
    KWL/                    Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer               Ringer
    Flashback               Self-Assessment /Reflection                  Example/ Non-example
                            (Cornell Notes e.g. “I use to think”,” I
                            learned”)
   Foldable            Give me Five                                      Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                                  White Boards
   Other:              Choral Response                                   First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                     Product:
   Model OR (WE DO)                                          Other:

Strategies (check all that apply)
     Note Making Strategy                                         Teacher /Peer Conferencing
     Cooperative learning                                         Generating and testing hypotheses
     Questions, cues and advanced organizers                      Comparing and Contrasting
     Vocabulary Building Strategy                                 Setting objectives and providing descriptive
                                                                  feedback
     Non-linguistic representations                               Other


                                                    18
          Standards-Based Unit Planning Template

Before:           During:               After:




                            19
                   Standards-Based Unit Planning Template




Focused Standard:



Targeted Essential Question(s):




                              Daily Learning Target
I can…
I can..

Formative Assessment
    Pre-Assessment       Traffic Lights/                              Sticky Bars
    Muddiest Point       Human Graph                                  Idea Spinners
    Thumb-It             Post-Its                                     Comparison Charts
    KWL/                 Exit-Slips/Entry Slips/Bell                  3 Minute Pause
    Organizer            Ringer
    Flashback            Self-Assessment /Reflection                  Example/ Non-example
                         (Cornell Notes e.g. “I use to think”,” I
                         learned”)
   Foldable            Give me Five                                   Garbage Pile/ Snow Balling
   Graffiti Walls      Think-Pair-Share                               White Boards
   Other:              Choral Response                                First Word/ Say Something
Summative Assessment
   KCCT-Like Test Ratio:                                  Product:
   Model OR (WE DO)                                       Other:

Strategies (check all that apply)
     Note Making Strategy                                      Teacher /Peer Conferencing
     Cooperative learning                                      Generating and testing hypotheses

                                                 20
                   Standards-Based Unit Planning Template

   Questions, cues and advanced organizers        Comparing and Contrasting
   Vocabulary Building Strategy                   Setting objectives and providing descriptive
                                                  feedback
   Non-linguistic representations                 Other

Before:                       During:                    After:




                                             21

								
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