Upload
duongque
View
231
Download
2
Embed Size (px)
Citation preview
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Polynomial, Rational, and Other Functions and Equations Strand
Standard: AII.EL.4: Use the properties of exponents to transform expressions for exponential functions (e.g., the expression 1.15^t can be rewritten as (1.15^1/12)^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%).
I can: Use the properties of exponents to transform expressions for exponential functions.
Lesson Plans/Print Activities:
Quarter Three Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 7-6 – Rational Exponents p. 451 # 52, 65, 66 Honors Algebra II – McDougal Littell Textbook
Section 7.3 Using Functions Involving e p. 492 Examples 1 and 2 p. 494 Example 4 p. 496 #17-18 p. 496 #31 – 38
Section 7.5 Apply Properties of Logarithms
Section 7.6 Solve Exponential and Logarithmic Equations p. 521 #55, 56
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Web-based Practice:
Virtual Nerd (Video on Evaluating Exponential Functions): http://www.virtualnerd.com/algebra-1/exponents-exponential-functions/exponential-function/identify-and-evaluate/evaluate
Khan Academy: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func
Purple Math Compound Interest: http://www.purplemath.com/modules/expofcns4.htm
Khan Academy Videos: http://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/introduction-to-interest
Compound Interest Exploration: http://jwilson.coe.uga.edu/emt668/EMAT6680.Folders/Barron/Write-ups/Assignment%2012/write-up12barron.html
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Sec. 8-7 – Base e and Natural Logarithms
p. 529 #40, 47, 58
P. 532 Compound Interest Honors Algebra II – McDougal Littell Textbook
Material is not covered in Quarter Four.
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Complex Numbers and Expressions
Standard: AII.CNE.1: Know there is an imaginary number, i, such that i^2 = -1, and every complex number can be written in the form a + bi, with a and b real. Use the
relation i^2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
I can: Apply the commutative, associative and distributive properties to add, subtract, and multiply complex numbers.
Lesson Plans/Print Activities:
Quarter One Material not Covered in Quarter One3
Quarter Two Standard Algebra II - Glencoe McGraw-Hill Textbook
Add/Subtract Complex Numbers: Sec. 5.4: Page 278 Example 5 Multiply Complex Numbers: Sec. 5.4: Real World Example Page 279
Example 6
Honors Algebra II – McDougal Littell Textbook
Sec. 4.6 - Multiply Complex Numbers: Page 276 Example 2 Page 277 Example 4
Page 278 Guided Practice McDougal Teacher’s Edition: Page 277 Margin Examples
Web-based Practice: Pearson Videos on Complex numbers:
http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=age&wcsuffix=0506
Khan Academy Lessons on Complex Numbers: https://www.khanacademy.org/math/algebra2/complex-numbers-a2
Alabama Learning Exchange. There are four interactive PowerPoints near the bottom of the lesson plan. http://alex.state.al.us/lesson_view.php?id=11364
Complex Number Bingo (IPS Algebra II Resources) https://onlinebb.ips.k12.in.us/section/default.asp?id=GROUP%2D081010%2D095935%2DGAM&goto=
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Complex Numbers and Expressions
Standard: AII.CNE.3: : Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide algebraic rational expressions.
I can: Understand that rational numbers are closed under addition, subtraction, multiplication and division.
Lesson Plans/Print Activities:
Quarter Three Honors Algebra II – McDougal Littell Textbook
Section 8.4 Multiply and Divide Rational Expressions p. 573-577 Example 1, 4, 5, 6, 7 p. 578 Real World in Skills #21-22
Section 8.5 Add and Subtract Rational Expressions p. 582 – 584 Examples 1 – 4
Standard Algebra II - Glencoe McGraw-Hill Textbook Standard not covered in Quarter Three
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Ch 9.1 Mult/Divide: pg 553-556 Ex 1, 4 and 5. Real World Examples in chptr exercises #12, #39, #41
Web-based Practice: Regents Prep Lesson:
http://www.regentsprep.org/Regents/math/algtrig/ATO2/addfrac.htm Khan Academy on Adding and Subtracting Rational Expressions:
https://www.khanacademy.org/math/algebra2/rational-expressions/rational_expressions/v/adding-and-subtracting-rational-expressions
Khan Academy on Multiply and Dividing Rational Expressions: https://www.khanacademy.org/math/algebra2/rational-expressions/multi-div-rational-exp/v/multiplying-and-dividing-rational-expressions-1
Pearson Videos: Multiply and Divide: http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=ate&wcsuffix=1203 Add and Subtract: http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=ate&wcsuffix=1205
Row Game: http://kalamitykat.com/2010/10/02/row-game-simplify-rational-expressions/
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Ch 9.2 Add/Subtract: pg 562-563 Examples 1, 2 and 3. Real World Examples #13, #34, #40 #60
Honors Algebra II – McDougal Littell Textbook
Standard not covered in Quarter Four
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Complex Numbers and Expressions
Standard: AII.CNE.6: Find partial sums of arithmetic and geometric series and represent them using sigma notation.
I can: Find partial sums of arithmetic and geometric series.
Use sigma notation.
Lesson Plans/Print Activities:
Quarter Three Material Not Covered in Quarter Three
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Sec. 11.2 – Arithmetic Sequences and Series Examples 1, 2, 3, 4, 5; Real World exercises pg 692 and 603, #32, 47 and 61
Sec. 11. 3 – Geometric Sequences and Series Examples 1 ; Real World exercises pg 696 and #4 pg 698; Chapter Exercise #1
Honors Algebra II – McDougal Littell Textbook
Section 12.4 Find Sums of Infinite Geometric Series p. 821-822 Examples 1, 2, and 3 p. 821 Guided Practice #2-4
Web-based Practice: Purple Math Arithmetic Series:
http://www.purplemath.com/modules/series4.htm Math is Fun on Partial Sums:
http://www.mathsisfun.com/algebra/partial-sums.html
Gauss’ Story about Arithmetic Series: (Fun math trick); http://coolmath.com/algebra/19-sequences-series/06-gauss-problem-arithmetic-series-01.htm
Visualize Infinite Series Teaching Tool (IPS Math Community Group Algebra II Resources Unit Nine)
Online Math Learning: http://www.onlinemathlearning.com/geometric-series.html
Geometric Series Fun Activity: http://untilnextstop.blogspot.com/2010/08/geometric-series-fun.html
Khan Academy Geometric Sequence: https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/v/geometric-sequences--introduction
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Data Analysis, Statistics, and Probability
Standard: AII.DSP.1: Make inferences and justify conclusions from sample surveys, experiments, and observational studies. Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.
I can: Draw conclusions from sample surveys, experiments and observational studies.
Explain how randomization works.
Lesson Plans/Print Activities:
Quarter Three Material not covered in Quarter Three
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Page 747 Example 4, 5 Real World Examples 1, 2, 3 pgs 745, 746
Honors Algebra II – McDougal Littell Textbook
Section 11.4 Select and Draw Conclusions and Samples Page 766 – 767 Examples 1 and 2
Web-based Practice: Regents definitions of survey/study/experiment
http://www.regentsprep.org/Regents/math/algtrig/ATS1/StatSurveylesson.htm
Khan Academy on Types of Statistical Studies https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/v/types-statistical-studies
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Data Analysis, Statistics, and Probability
Standard: AII.DSP.2: Use technology to find a linear, quadratic, or exponential function that models a relationship for a bivariate data set to make predictions; compute (using technology) and interpret the correlation coefficient.
I can: Use technology to find linear, quadratic, or exponential function that models a relationship for bivariate data.
Interpret the correlation coefficient.
Lesson Plans/Print Activities:
Quarter 1 Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 2-5 Scatter Plots and Lines of Regression ( include page 99) H.O.T. problems 12,15
Honors Algebra II – McDougal Littell Textbook
Material not covered in Quarter 1
Quarter Two Standard Algebra II - Glencoe McGraw-Hill Textbook Honors Algebra II – McDougal Littell Textbook
Sec. 4.10 – Write Quadratic Functions and Models p. 314 # 48,49,50
Web-based Practice: Khan Academy Videos on Regression
https://www.khanacademy.org/math/probability/regression Ilumina Module on functions defined by data
https://www.math.duke.edu//education/ccp/materials/precalc/fundata/contents.html
Stat Trek (Linear Correlation Tutorial) http://stattrek.com/statistics/correlation.aspx
Statistics How to: Correlation Coefficient tutorial http://www.statisticshowto.com/how-to-compute-pearsons-correlation-coefficients/
Correlation Calculator http://www.socscistatistics.com/tests/pearson/ Pearson Videos on modeling data with linear, quadratic or exponential
functions http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=ate&wcsuffix=1008
Regents Worksheet on fitting a curve to data http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPI-Topic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.6.Regression.pdf
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Quarter 3 Standard Algebra II - Glencoe McGraw-Hill Textbook
P. 365 – Modeling Data Using Polynomial Functions
Honors Algebra II – McDougal Littell Textbook
Material not covered in Quarter 3
Quarter 4 Standard Algebra II - Glencoe McGraw-Hill Textbook
Material not covered in Quarter 4
Honors Algebra II – McDougal Littell Textbook
Section 11.5 Choose the Best Model for Two-Variable Data p. 778 – 779 #10-12
Regents Linear Correlation http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPI-Topic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.7.LinearRegression.pdf
Regents Exponential Correlation http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPI-Topic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.7.ExponentialRegression.pdf
Regents Correlation Coefficient http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPI-Topic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.8.CorrelationCoefficient.pdf
Regents Worksheet http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByTopic/GRAPHS_AND_STATISTICS/Drills/PR_Correlation_Coefficient.pdf
TI 83/84 instructions for correlation http://facstaff.columbusstate.edu/almada_carlos/Courses/Math%201101/Scatter%20Plot_%20Correlation_%20and%20Regression%20on%20the%20TI-83-84.pdf
Wolfram regression line grapher http://www.wolframalpha.com/widgets/view.jsp?id=b19c9191057f5b4e57f89a8532b3a888
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Data Analysis, Statistics, and Probability
Standard: AII.DSP.3: Organize, graph (e.g., line plots and box plots), and compare univariate data of two or more different data sets using measures of center (mean and median) and spread (range, inter-quartile range, standard deviation, percentiles, and variance). Understand the effects of outliers on the statistical summary of the data.
I can: Compare two or more different data sets using mean and median, range, inter-quartile range, standard deviation, percentiles and variance.
Understand the effects of outliers on the statistical summary of the data.
Lesson Plans/Print Activities:
Quarter Three Material not covered in Quarter Three
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
12.2 – Statistical Analysis pg 752-755 Example 1, 2, 3 pgs 752-753 Concept Skills Bank #5, 6, 7, 8 Pg 1001-1006 Real World Example 4 pgs 754-758
12.3 – Conditional Probability p. 762 #19, 20, 23 Honors Algebra II – McDougal Littell Textbook
Section 11.1 Find Measures of Central Tendency and Dispersion
p. 774 – 776 Examples 1, 2, 3, and 4 Skills Review on p. 1005 - 1009
Web-based Practice: Purple Math Box Plots
http://www.purplemath.com/modules/boxwhisk.htm Khan Academy Videos on Descriptive Statistics
https://www.khanacademy.org/math/probability/descriptive-statistics Stat Trek Box Plot http://stattrek.com/statistics/charts/boxplot.aspx Math Warehouse Box Plot Generator
http://www.mathwarehouse.com/charts/box-and-whisker-plot-maker.php#boxwhiskergraph
Hostogram Generator with real data loaded http://www.shodor.org/interactivate/activities/Histogram/
Regents Worksheet on Histograms http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByPI/Integrated_Algebra/Statistics_and_Probability/Drills/PR_A.S.5_2.pdf
Regents Worksheets to construct a Histogram http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPI-Topic/IntegratedAlgebra/Statistics_and_Probability/A.S.5.FrequencyHistogramsBarGraphsandTables1.pdf
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Regents Worksheet to draw boxplots http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByPI/Integrated_Algebra/Statistics_and_Probability/Drills/PR_A.S.5_1.pdf
Pearson Videos on Box Plots http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=age&wcsuffix=1203
Pearson Video on Histograms http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-117s.html
Regents Worksheet on Central Tendency http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPI-Topic/IntegratedAlgebra/Statistics_and_Probability/A.S.4.CentralTendency.pdf
Wolfram Statistical Calculator http://www.wolframalpha.com/widgets/view.jsp?id=ff20b40e163283603016a4f2dca7f31b
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Data Analysis, Statistics, and Probability
Standard: AII.DSP.4: Record multiple observations (or simulated samples) of random events and construct empirical models of the probability distributions. Construct a theoretical model and apply the law of large numbers to show the relationship between the two models.
I can: Construct empirical models of probability distributions.
Construct a theoretical model and apply the law of large numbers.
Lesson Plans/Print Activities:
Quarter Three Material not covered in Quarter Three
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Sec. 12.5- Normal Distribution Example 1, 2 pg 773-774 plus CYP Real World Example 3 pg 775 plus CYP
Honors Algebra II – McDougal Littell Textbook
Section 10.3 Define and Use Probability p. 702 #20, 22, 26-32
Web-based Practice: Khan Academy Video on constructing Probability Distributions
https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/discrete-probability-distribution
Statistics How-to on constructing probability distributions http://www.statisticshowto.com/how-to-construct-a-probability-distribution/
Khan Academy on law of large numbers http://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/law-of-large-numbers
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Data Analysis, Statistics, and Probability
Standard: AII.DSP.5: Understand dependent and independent events, and conditional probability; apply these concepts to calculate probabilities.
I can: Understand dependent events
Understand independent events
Understand conditional probability
Lesson Plans/Print Activities:
Quarter Three Material not covered in Quarter Three
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Lesson 12-3 Conditional Probability p. 759 – 760 Examples 1 and 2 p. 998 - 1000
Honors Algebra II – McDougal Littell Textbook
Sec. 10.5 Find Probabilities of Independent and Dependent Events p. 717 – 721 Examples 1, 2, 4, 5
Web-based Practice: Math Goodies on Conditional Probability
http://www.mathgoodies.com/lessons/vol6/conditional.html Math is Fun on basic probability
http://www.mathsisfun.com/data/probability-events-conditional.html Khan Academy on Conditional Probability
http://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/conditional-probability-and-combinations
Wikihow probability with sample spaces for cards and dice http://www.wikihow.com/Calculate-Probability
Probability Games http://classroom.jc-schools.net/basic/math-prob.html
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Data Analysis, Statistics, and Probability
Standard: AII.DSP.6: Understand the multiplication counting principle, permutations, and combinations; apply these concepts to calculate probabilities. I can:
Use the multiplications counting principle, permutations, and combinations.
Lesson Plans/Print Activities:
Quarter Three Material not covered in Quarter Three
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Counting Principle Review 0-4 pgs 9 – 11 Permutations/Combinations 0-5 pgs 12-14 Real World section 12.4 Examples 1, 2, 3 plus CYP
Honors Algebra II – McDougal Littell Textbook
Section 10.1 Applying the Counting Principle and Permutations p. 682 – 686 Examples 1, 2, 3, 4, 5, 6, plus Guided Practice
Section 10.2 Use Combinations and the Binomial Theorem p. 691 Examples 1, 2, and 3
p. 695 #38-39
Web-based Practice: Khan Academy Probability and Combinatorics
https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic
Worksheet http://frontenacss.limestone.on.ca/teachers/dcasey/0F615DEF-00870BC8.244/PermutationsCombinationsHW.pdf
Worksheet http://captainmath.net/apstats/CombinationsPermutations.pdf
Online Math Learning on Calculating Probability with Combinatorics http://www.onlinemathlearning.com/probability-permutations-combinations.html
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Polynomial, Rational, and Other Functions and Equations Strand
Standard: AII.EL.1: Write arithmetic and geometric sequences both recursively and with an explicit formula; use them to model situations and translate between the two forms I can:
Write arithmetic and geometric sequences both recursively and with an explicit formula.
Lesson Plans/Print Activities:
Quarter Three Material not covered in Quarter Three
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Sec. 11.2 - Arithmetic pg 688-691 Examples 1, 2, 3, 4, 5 plus CYP Real World exercises 32, 47, 56, 61, 68, 69
Sec. 11.3 - Geometric pg 696-699 Examples 1, 2, 3, 5, 6 plus CYP Real World example 4 pg 698
Honors Algebra II – McDougal Littell Textbook
Section 12.1 Define and Use Sequences and Series p. 794-795 Examples 1 and 2
Section 12.2 Analyze Arithmetic Sequences and Series p. 802 – 805 Examples 1, 2, 3, 4, 5, plus Guided Practice p. 805 Example 6 plus Guided Practice 6
Section 12.3 Analyze Geometric Sequences and Series p. 810-813 Examples 1, 2, 3, 4, 5 and Guided Practice examples p. 813 Example 6 and Guided Practice 8
Web-based Practice: Wolfram Arithmetic and Geometric Series Calculator:
http://www.wolframalpha.com/widgets/view.jsp?id=51810b084ff50d8d7d35b8ae4b1df4fc
Regents Tutorial Arithmetic Series: http://www.regentsprep.org/Regents/math/algtrig/ATP2/ArithSeq.htm
Math is Fun Tutorial Arithmetic Series: http://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html
Khan Academy Arithmetic Series Formula: https://www.khanacademy.org/math/integral-calculus/sequences_series_approx_calc/calculus-series/v/formula-for-arithmetic-series
Activity on Arithmetic Series: http://lessonplanspage.com/matharithmeticseriesandsequences10-htm/
Geometric Series Activity from Prezi: http://prezi.com/nun6mtmf3cgv/908-geometric-series-activity/
SOS Math Activity: (Looks Good) http://www.sosmath.com/calculus/geoser/geoser01.html
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Section 12.4 Find Sums of Infinite Geometric Series p. 820-821 Examples 1 and 2 p. 824 #35, 36, 38
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Polynomial, Rational, and Other Functions and Equations Strand
Standard: AII.EL.3: Identify the percent rate of change in exponential functions written as equations, such as y = (1.02)^t, y = (0.97)^t, y = (1.01)12^t, y = (1.2)^t/10, and classify them as representing exponential growth or decay. I can:
Identify the percent rate of change in exponential functions written as equations
Classify functions as representing exponential
Lesson Plans/Print Activities:
Quarter Three Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 8-1- Graphing Exponential Functions p. 477 Real World: Example 3 plus CYP
p. 479 Real World: Example 5 plus CYP Chapter Exercises # 19, 26, 28
Honors Algebra II – McDougal Littell Textbook
Section 7.1 Graph Exponential Growth p. 478-481 Examples 4, 5 plus guided practice
Section 7.2 Graph Exponential Decay p. 486-488 Example 4 plus GP #7, 8
p. 488 #35
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Web-based Practice: Regents Tutorial:
http://www.regentsprep.org/regents/math/algebra/ae7/expdecayl.htm
Rate of change video: https://learnzillion.com/lessons/2590-understand-the-rate-of-change-
in-exponential-growth-functions
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Sec. 8-7 – Base e and Natural Logarithms p. 529 #40, 47, 58
P. 532 Compound Interest
Honors Algebra II – McDougal Littell Textbook
This standard is not covered in Quarter Four.
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Polynomial, Rational, and Other Functions and Equations Strand
Standard: AII.EL.6: Use the laws of exponents to derive the laws of logarithms. Use the laws of logarithms and the inverse relationship between exponential functions and logarithms to evaluate expressions and solve equations in one variable. I can:
Apply the laws of exponents.
Demonstrate the inverse relationship between exponential functions and logarithmic functions
Lesson Plans/Print Activities:
Quarter Three Standard Algebra II - Glencoe McGraw-Hill Textbook
Not covered in Quarter Three Honors Algebra II – McDougal Littell Textbook
Section 7.4 Evaluate Logarithms and Graph Logarithmic Functions p. 499 – 503 Examples 1, 2, 5, 6, plus Guided Practice
Section 7.5 Apply Properties of Logs p. 507 – 509 Examples 1, 2, 4, plus Guided Practice
Section 7.6 Solve Exponential Equations/Log Equations p. 515 – 519 Examples 1, 2, 4, 5, plus Guided Practice p. 515-519 #54, 55, 56
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Sec. 8.5- Properties of Logarithms Examples 1, 3, 4 pg 509-511 plus CYP
Exercises 23-26, 36-41, 44-49
Web-based Practice: Purple Math on Basic Log Rules
http://www.purplemath.com/modules/logrules.htm Math Worksheets Go Worksheets on expanding and simplifying
logarithms http://www.mathworksheetsgo.com/sheets/logarithm-worksheets/properties-of-logarithms-worksheet.php
SOS Math Properties of logarithms with examples http://www.sosmath.com/algebra/logs/log4/log41/log41.html
Math is Fun Tutorial on all properties and rules for logarithms including change of base and natural logs with real-world examples involving earthquakes, sound and Ph. http://www.mathsisfun.com/algebra/exponents-logarithms.html
Khan Academy videos https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/introduction-to-logarithm-properties
Jmap worksheet on properties of logarithms http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByTopic/POWERS/Drills/PR_Properties_of_Logarithms_2.pdf
Log and Exponents worksheet with examples http://maths.mq.edu.au/numeracy/web_mums/module2/Worksheet27/module2.pdf
The card game “war” played with logarithms. http://function-of-time.blogspot.com/2009/03/this-game-really-is-worth-1000.html
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Sec. 8.6 – Common Logarithms
p. 521 #40, 67, 68, 70
Honors Algebra II – McDougal Littell Textbook
Material is not covered in Quarter Four.
Logarithm Mania Game (combines spoons and logarithms) http://jonoaks.com/new-logarithm-mania-game/
History of logarithms (IPS online Community Group Math Teachers 7-12 A2 resources/Unit 7)
Blog Article on Earthquake Richter Scale and Logarithms http://samjshah.com/2008/07/30/earthquakes-richter-scale-and-logarithms/
Newton’s law of cooling experiment https://naperville.instructure.com/eportfolios/13156/Home/Introduction_My_experiment
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Polynomial, Rational, and Other Functions and Equations Strand
Standard: AII.EL.7: Represent real-world problems using exponential equations in one or two variables and solve such problems with and without technology. Interpret the solutions and determine whether they are reasonable. I can:
Represent real-world problems using exponential equations.
Solve real-world problems involving exponential equations.
Interpret solutions of exponential equations and determine whether they are reasonable.
Lesson Plans/Print Activities:
Quarter Three Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 8-1- Graphing Exponential Functions p. 480 # 27, 28, 29, 33
Honors Algebra II – McDougal Littell Textbook
Section 7.1 Graph Exponential Growth Function p. 483 #28-30, 39
Section 7.5 Write and Apply Exponential and Power Functions p. 529 Example 1 p. 531 Example 4 p. 535 #33, 35
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Sec. 8.5- Properties of Logarithms Examples 1,2, 3, 4 pg 509-511 plus CYP
Exercises 23-26, 27, 50, 36-41, 44-49
Web-based Practice:
Purple Math Word Problems http://www.purplemath.com/modules/expoprob2.htm
Regents Prep Word Problems http://www.regentsprep.org/Regents/math/algtrig/ATP8b/APPexpractice.htm
Khan Academy Video on Word Problems http://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/word-problem-solving--exponential-growth-and-decay
Algebra Lab Word Problems http://www.algebralab.org/Word/Word.aspx?file=Algebra_ExponentialGrowth.xml
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Sec. 8.6 – Common Logarithms
p. 521 #40, 67, 68, 70
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Algebra II – Polynomial, Rational, and Other Functions and Equations Strand
Standard: AII.PR.3: Solve real-world and other mathematical problems involving rational and radical functions, including direct, inverse, and joint variation. Give examples showing how extraneous solutions may arise. I can:
Solve real-world problems involving rational functions.
Solve real-world problems involving radical functions.
Solve other mathematical problems involving rational functions.
Solve other mathematical problems involving radical functions.
Solve problems involving direct, inverse, and joint variation.
Give examples that show how extraneous solutions may arise.
Lesson Plans/Print Activities:
Quarter Three Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 7-3 – Square Root functions and Inequalities p. 426 Example 3 p. 428 # 29, 30, 39, 40 Section 7-4 - nth Root p. 433 Example 3 p. 434 # 36, 55 Section 7-5 – Operations with Radical Expressions p. 444 # 59, 60
Honors Algebra II – McDougal Littell Textbook Section 6.6 Solve Radical Equations
p. 455 Example 6 p. 456 – 457 #32 – 33, 55-56
Web-based Practice:
Word Problems Multiple Choice: http://www.montgomerycollege.edu/~maronne/math103/worksheets/Ch6-rat/Word-Prob.PDF
Virtual Nerd Word Problems: http://www.virtualnerd.com/algebra-1/rational-expressions-functions/solve/example-solutions/word-problem-example
Khan Academy on Extraneous Solutions to Rational Functions: https://www.khanacademy.org/math/algebra2/rational-expressions/solving-rational-equations/v/extraneous-solutions-to-rational-equations
Brain Genie Online Word Problems with Radical Functions: https://braingenie.ck12.org/skills/106324
Mathematics Pacing Resource Document
Indianapolis Public Schools Curriculum and Instruction
Section 8.1 Model Inverse and Joint Variation p. 552 – 553 Example 3 p. 556 #37, 39
Section 8.2 Graph Simple Rational Functions p. 560 Example 4 p. 561 – 562 #37 - 39
Quarter Four Standard Algebra II - Glencoe McGraw-Hill Textbook
Section 7-7 – Solving Radical Equations and Inequalities p. 457 #67,68,69
Section 9-4 – Graphing Rational Functions p. 582 #36, 37, 43, 44 p. 585 Graphing Rational Functions with Technology
Section 9-5 – Variation Functions Example 4 p. 589 p. 591 # 11,21,22,44
Honors Algebra II – McDougal Littell Textbook Material is not covered in Quarter Four.