Mrs. Brashear's Mathematics class

Monday – Tuesday
Students will be able to:
- Use pattern recognition to find an indefinite integral.
- Use a change of variables to find an indefinite integral.
- Use the General Power Rule for Integration to find an indefinite integral.
- Usa a change of variables to evaluate a definite integral.
- Evaluate a definite integral involving an even or odd function.

In class:
1. Lesson 4.5: Integration by Substitution.
2. TB p.304: Solve as many odd problems as you can.

Tuesday
Students will be able to:
- Use pattern recognition to find an indefinite integral.
- Use a change of variables to find an indefinite integral.
- Use the General Power Rule for Integration to find an indefinite integral.
- Usa a change of variables to evaluate a definite integral.
- Evaluate a definite integral involving an even or odd function.

In class:
1. TB p. 292: 53-60 all
2. TB p. 306: 109-110

Wednesday:
Students will be able to:
- Understand and use the Mean Value Theorem for Integrals
- Find the average value of a function over a closed interval

In class:
1. Review lesson 4.4-4.5
2. http://wowmath.org/Calculus/CalculusNotes.html#ch4

Thursday – Friday
Students will be able to:
- Solve integration problems
- Develop and use properties of the natural logarithmic function.
- Understand the definition of the number e.
- Find derivatives of functions involving the natural logarithmic function.

In class:
1. Review questions + Antiderivatives by substitution of variables: change of limits for definite integrals.
2. Lesson 5.1: The Natural Logarithmic Function: Differentiation.
3. Assignment: TB p page 330: 45-69 odd,  93-97 odd
4. Chapter 4 Test Next Week.

http://www.cleanvideosearch.com/media/action/yt/watch?videoId=8z6JRFvjkpc

http://www.ticalc.org/pub/83plus/basic/math/calculus/

Monday – Tuesday
Students will be able to:
- simplify ratios and solve proportions.
- use proportions and ratios to solve real life problems.
- solve exchange rate problems.

In class:
1. Assignment: WB p 103-105.
2. Assignment: WB p 106-108.
3. Turn in both assignments, stapled together.
4. Extra Credit assignment: ONLY when Lessons 6.1-6.2 are completed

Wednesday
Students will be able to:
- write proportionality statements for polygons.
- determine whether polygons are similar.
- use the scale factor to find unknown values.

In class:
1. Assignment: WB p.109-111
2. Extra Credit assignment: ONLY when Lesson 6.3 is completed.
3. Study for Test on: Weighted Averages, Conversions, Lesson 6.1-6.2

Thursday – Friday
 Students will be able to:
- learn from their mistakes involving ratio and proportion problems.

In class:
1. Test Part 1: Weighted Averages, and Conversions, Real life Problems involving ratios and proportions
2. Correction WB lesson 6.1-6.2
3. Test Part 2: Ratios, Proportions, and Scale Factor.

Tuesday – Thursday
Students will be able to:
- correct their mistakes on their quiz involving weighted averages.
- correct their mistakes on their quiz involving conversions of measurements in the metric and standard system.
- solve real life problems with ratios and proportions.

In class:
1. Correction Quiz Weighted Averages (+ with -)
2. Correction Quiz Metric and Standard System (GroupWork – with -)
3. Retake Conversion Quiz ((Student who did not score 80 percent on the Conversion Quiz will retake that quiz on Wednesday))
4. Assignment: Word problems Intro lesson 6.1-6.2 (GroupWork + with +)
5. Presentation: Group Work presents solution to whole class.

Friday:
Students will be able to:
- solve real life problems with ratios and proportions.

1. Assignment: WB p.102 -103
2. Demonstrate: PowerPoint.

Monday No school: Martin Luther Kings Day

Tuesday:
Students will be able to:
- show throughout knowledge of Basic Integration Rules,  find antiderivatives, indefinite integration, area, and use the Fundamental Theorem of Calculus

In class:
1. Quiz Lesson 4.1-4.4

Wednesday:
Students will be able to:
- Understand and use the Mean Value Theorem for Integrals
- Find the average value of a function over a closed interval

In class:
1. Day 2: Lesson 4.4: The Mean Value Theorem and the Average Value Theorem
2. Assignment: TB p 291: 43-50 (odd)

Thursday:
Students will be able to:
- Understand and Use the Second Fundamental Theorem of Calculus

In class:
1. Day 3: Lesson 4.4: The Second Fundamental Theorem of Calculus
2. Assignment: TB p 291: 67-71 (odd) + 75-91 (odd)
3. Extra Credit: 94

Friday:
Students will be able to:
- Use pattern recognition to find an indefinite integral.
- Use a change of variables to find an indefinite integral.
- Use the General Power Rule for Integration to find an indefinite integral.

In class:
1. Lesson 4.5: Integration by Substitution.

Monday – Wednesday
Students will be able to:
- correct their mistakes on their quiz involving weighted averages.
- convert measurements in the metric system.
- convert measures in the English system.

In class:
1. Correction Quiz Weighted Averages
2. Worksheet: Conversions Metric System
3. Worksheet:  Conversions English.
4. Quiz Conversions Metric and English system
5. Correction Quiz Conversions Metric and English system

Thursday
Student will be able to:
- convert numbers using real life examples: 4 T-shirts cost $45, how much do 6 T-shirts cost.
- find real life examples of the rule of 3.

In class:
1. The Rule of Three.
2. Worksheets
3. Corrections in class by other student.

Friday
Students will be able to:
- use ratios and proportions

In class:
1. Notes: Lesson 6.1: Ratios and Proportions
2. Assignment: WB p103: 1-6. Click 6.1 B for document.

Monday:
- Show knowledge of basic integration rules
- Review and Collect HW Lesson 4.1
- Draw and explain a slope field for differential equations: http://www.ies.co.jp/math/java/calc/DiffEqu/DiffEqu.html

1. Class Practice:
http://apcentral.collegeboard.com/apc/public/repository/slope_fields_for_apc__31625.pdf
2. Assignment:
http://mysite.verizon.net/vze4hzs6/calcAB/APslopefieldhandout.pdf
http://apcentral.collegeboard.com/apc/public/repository/ap08_calculus_slopefields_worksheet.pdf
3. Extra Credit  Homework:
http://apcentral.collegeboard.com/apc/public/repository/ap08_calculus_slopefields_cardmatch.pdf

Tuesday – Thursday:
Goals:

- Understand the definition of a Riemann sum.
- Evaluate a denite integral using limits.
- Evaluate a define integral using properties of definite integrals.

PowerPoint: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=6&ved=0CDsQFjAF&url=http%3A%2F%2Fsbach.nathanmock.com%2FCalculus%2FLarson%2520book%2520powerpoints%2F4.3.ppt&ei=8jgKT9myKIeqiQKctZHHCQ&usg=AFQjCNH4BWpdCh1LMjZlvT_qtc2yVk-rHQ

Assignment: Section 4.3: TB p 278:9-41 (odd)

Tuesday – Wednesday
In class: Welcome back + Correction Finals

Thursday – Friday
In class: Lesson 4.1: Antiderivatives and Indefinite Integration.
PowerPoint: Lesson 4.1.
Goals:
- Write the General Solution of a differential equation
- Use indefinite integral notation for antiderivatives.
- Use basic integration rules to find antiderivatives.
- Find a particular solution of a differential equation.

HW Due Monday: TB p255: 1,5,9,13,17,19,23,27-47 (odd), 55-61 (odd), 65,66,67,69
+ Study Basic Integration Rules TB p250

Student Solution Guide Chapter 4: ssg_ch04

Tuesday
In class: Welcome back + Weighted Averages + Pass Out Workbooks.
Homework: Study weighted averages
Wednesday
In class: Quiz Weighted Averages + Conversions: Metric System
HW: Worksheet: Conversions Front page Due + Extra Credit Back page (due Friday)
Thursday
In class: Conversions: English System
HW: Workbook: Conversions English.
Friday
In class: Correction HW + Quiz Conversions in English and Metric Systems + Correction Quiz Weighted Averages.
HW: Review if needed!