lesson planner - peak learning systems · inverse trigonometric functions, going backwards from the...

66 Teaching for Excellence: Mathematics

Subject: Precalculus Teacher: Rick Hedstrom

Unit: 1 and 2 Date: September 14th, 2010 Tuesday = 50 minutes

Pre Instruction Content Sinusoidal modelsDistributed Practice & ID

Topics SOH CAH TOA, right triangle models from Geometry

Announcements,Materials, &/or Opening

Exam 1 –A Friday in class. Must bring completed preview as a qualifier to be able to take exam.

Warm Up Topics/Items

Time Given an angle, draw the angle in standard position and computethe reference angle as a positive acute angle.

Home PracticeAccountability Strategy

(Use LSS & Processing – do NOTgo over Homework & Tests)

Time

Instructional ComponentPre Inst. (Cloud, Sprinkle or Splash)

Focused Instr. (New or ID)

Post Instr. (DP or ID)

WhatTopic?

How &With What Problems?What Practice &/or Assessment Items?

What Learning Support?(Answer, Hint, Solution Annotated Solution)

1.IncrementalDevelopment

(Drip)

UnitCircle

Continue demonstration of examples using t chart.Students write t charts in response journals. Processingloop after each example to summarize.

Est. time: 15 min

2.

Shower

SinusoidalModels

Put up slide of general sinusoidal model, brain write for 15 seconds,processing loop for 1 minute, “When I say go, please make certain thateveryone around you is involved in a conversation about what items on thisslide they already understand and what items they need to know moreabout…go”. Check for understanding by reporting out.Est. time: 5 min

3.

Gentle SoakSinusoidalModels

Processing loops, one step at a time with graphing calculators: 1) graph y =sinx. 2) Graph y = sin(2x). Before looking at the picture, speculate withthose around you as to how, specifically, the graph of y = sin(2x) will differ.3) Share 4) Look at the graphs 5) When I say go, write down a definitivestatement in a complete sentence in your response journals as to how thegraph of y = sin(2x) is different than the graph of y = sin(x). Repeat with y =sin(x) +2, y = sin(x +2) as time and understand allows.

Est. time: 15 min

4.

Est. time:

5.

Est.time:

HomeFun Practice

Type of LSSProvided:FULL

HomeFun Assignment #5: This assignment is written out on a worksheet and isavailable on the Precalculus documents tab on Mr. Hedstrom’s web page.

5 – 7 min

Rick Hedstrom - Carl Wunsche High School - Spring, TX

Th is and the following two pages show Rick Hedstrom’s daily lesson plans in his Pre-Calculus class for one week. Notice how many Sprinkles, Showers, and Drips he puts into his lessons.

LESSON PLANNER

Chapter 4 - Classroom Curriculum Alignment 67


Unit: 1 and 2 Date: September 15/16, 2010 Wednesday/Thursday = 85 minutes

Pre Instruction Content Sinusoidal models, secant, cosecant, cotangentDistributed Practice & ID

Topics Sin, cos, tan, unit circle


Exam 1 A in class on Friday, see assessment calendar for 1 B and 1 C. Look onwebsite for corrective assignments for 1 B and 1 C and test correction form.

Warm Up Topics/ItemsTime Unit circle problems similar to exam.



Time When I say go, every please make certain that every student has questions 5, 6 and 7 written out in their response journals and can demonstrate complete understanding of

all steps and answers if called upon to explain. Help one another, double-check posted solutions stay safe…go.




WhatTopic?



1.

Gentle Soak

Secant,Cosecant,Cotangent

1. Slide #1 for secant function. Do not copy slide – listen. Processing loop using this prompt,“ When I say go, please make certain that everyone around you is included in a conversationsaying to each other what I just said about the secant function much better than I did. Keepyourselves safe…I will be calling on someone to share what they have been hearing…go!”

2. Repeat with csc.3. Repeat with cot.Est. time: 15 min

2.

Search & Rescue (ID,DP)

Unit Circle,Sin, Cos, Tan

Students will continue working on posted problems untilthe first person finishes.

Est. time:(20 – 30 min)

3.

ShowerSinusoidalModels

Processing loops, one step at a time with graphing calculators: 1) graph y =cos(x). 2) Graph y = cos(x/2). Before looking at the picture, speculate withthose around you as to how, specifically, the graph of y = cos(x/2) will differ.3) Share 4) Look at the graphs 5) When I say go, write down a definitivestatement in a complete sentence in your response journals as to how thegraph of y = cos(x/2) is different than the graph of y = cos(x). Repeat with y= 2cos(x), y = 3cos(3x) as time and understand allows.

Est. time: 15 min

Est. time:

4. CloudPoint to vector poster and repeat definition and vocab.

Est.time: 1 minute

HomeFun Practice


HomeFun Assignment #6: This assignment is the Exam 1 A Preview and is writtenout on a worksheet and is available on the precal documents page which can beaccessed with a tab from Mr. Hedstrom’s web page.

5 – 7 min

15 20min


LESSON PLANNER



Unit: 1 and 2 Date: September 17th, 2010 Friday = 50 minutesPre Instruction

ContentGeneral Sinusoidal Function Model: y = C + A cos (B(x – D))

Distributed Practice &ID Topics

Unit circle, sin, cos, tan

Announcements,Materials, &/or

Opening

Test corrections in class on Monday, please look at assessment calendar for timesand dates for 1 B and 1 C. Note: there are 3 qualifiers to be able to take 1 B and/or1 C: 1) All homefun assignments must be complete 2) Test corrections must becomplete and 3) corrective assignment B and/or C must be complete.

Warm UpTopics/Items

Time

2 minutes

Very quick warm up of unit circle problems similar to test – VERY EASYto build confidence.

Home PracticeAccountability

Strategy(Use LSS & Processing– do NOT go overHomework & Tests)

Time

3 minutes Very quick review of a few select problems from Exam 1 Preview.




WhatTopic?



1.

Shower

GeneralSinusoidalFunctionModel

1. Display Slide: y = C + Acos(B(x – D))2. Speculate with those around you as to the effect that

A, B, C and D has on the graph of y = cos (x). Beprepared to justify your answer.

Est. time: 3 minutes

2.

Exam 1 A

Exam 1 A

Students will Complete Exam 1 A in class.

Est. time:40 min

3.

Est.time:

HomeFun Practice


HomeFun Assignment #7: This assignment is written out on a worksheet that isavailable on the precal documents page which can be accesses through a tab on Mr.Hedstrom’s web page.


LESSON PLANNER




Unit: 2 and 3 Date: September 20th, 2010 Monday = 50 minutes

Pre Instruction Content Inverse Functions

Distributed Practice & IDTopics

Unit Circle and General Sinusoidal Function Models


Please refer to assessment calendar for dates and times for assessments 1 B and 1 C. Please refer to posted class proceduresfor qualifiers.

Warm Up Topics/ItemsTime Easy unit circle problems with easy SOHCAHTOA problems and Pythagorean theorem problems from

Geometry mixed in.



Time 1. When I say go, everyone grab a small whiteboard, marker and eraser…go.

2. When I say go, please make certain that everyone has question 1 from HF #7 written out on their whiteboard and can explain any aspect of the problem if called upon…Go.

3. Repeat with questions 2 and 5 as time/understanding allow.




WhatTopic?



1.

Gentle Soaking

GraphingSinusoidalFunctionModels

Copy Me Teaching:

1. 3021sin41y

2. 202cos52yEst. time: 15 minutes2.

DRIP

TestCorrections

1. Solutions/answers to all exam questions are available.2. Please make certain that everyone in your group knows, understands andcan explain to me every problem on the exam. I will be calling on people toexplain specific exam questions so keep yourselves safe.3. Exam correction sheets are available (exam corrections are a qualifier forassessments 1 B and 1 C)Est. time: 15 min

3.

Cloud

Point to identity poster. Choral response.


4.

Est.time:

HomeFun Practice


HomeFun Assignment #8: This assignment is written out on a worksheet that isavailable on the precal documents page which can be accesses through a tab on Mr.Hedstrom’s web page.

5 – 7 min

10 min

LESSON PLANNER




Unit: 2 and 3 Date: September 21st, 2010 Tuesday = 50 minutes

Pre Instruction ContentInverse Trigonometric Functions, going backwards from the graph to the equation.Radian measure

Distributed Practice & IDTopics Unit Circle, SOHCAHTOA


Review retest and corrective loop procedures.

Warm Up Topics/Items

Time Very basic algebra problems, Pythagorean Theorem problems,SOHCAHTOA problems



Time 1. Please help me make certain that everyone in the class is included in groups of 3/4. 2. Each group needs a large whiteboard, markers and eraser. Each group must have question 5 from last night’s homework written out on the whiteboard and every group individual must have question 5 written out in their response journals. Please make certain that every group member knows, understands and can explain how to do question #5 because I will be calling on people to demonstrate their understanding.




WhatTopic?



1.ID/DP (DRIP)

Unit CircleValues

No Peeking!1. Gather resources (notes, etc.) (point out content posters)2. Make certain everyone has a partner – nobody is left out.3. Get a pile of cards.4. Review procedures.Est. time: 15 minutes

2.ID

GraphingSinusoidalFunctionModels

4 2 1Students will graph sinusoidal function models using 4 2 1.


3.Splash Going

Backwardsfrom the

graph to theequation

Copy Me Teaching.

1. Graph with cos.

2. Graph with sin.


HomeFun PracticeType of LSSProvided:FULL

HomeFun Assignment #9: This assignment is written out on a worksheet that isavailable on the precal documents page which can be accesses through a tab on Mr.

Hedstrom’s web page.

5 – 7 min

10 min

LESSON PLANNER


Gretchen Wiestruck -Carl Wunsche High School - Spring, TX

LESSON PLANNER

Notice how Gretchen Wietstruck circles the type of instruction that is planned during the transition.



LESSON PLANNER

In this lesson plan and in the following six pages, Gretchen also uses a variety of strategies as pre-instruction, focused instruction, and post-instruction.



LESSON PLANNER

lesson planner - peak learning systems · inverse trigonometric functions, going backwards from the...

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