mdavis113.wikispaces.com IIB... · Web viewActivity 1.7.1: Study - Inverse Variation (Documents: Study Sheet) Review direct variation and how increasing input leads to proportionally

Algebra IIB

Activity

Points

% of Total

Discuss 150 5%

Exam 216 7%

Practice 500 16%

Quiz 1592 51%

Test (CST) 462 15%

Test (TST) 200 6%

Total Points for the Course : 3120 Unit 1: Rational Expressions and Equations

Lesson 1.1: ProportionsActivity 1.1.1: Study - Proportions

(Documents: Study Sheet)Learn the definition of a rational expression and about using proportional reasoning to solve problems. Explore real-world examples of proportional reasoning.

Duration: 40 min

Activity 1.1.2: Checkup - Practice Problems(Documents: Checkup)

Complete a set of practice problems to hone your calculation skills. Duration: 25 min

Activity 1.1.3: Quiz - ProportionsTake a quiz to assess your understanding of the material.

Duration: 25 min Scoring: 16 Points Earned: _____

Lesson 1.2: Rational ExpressionsActivity 1.2.1: Study - Rational Expressions

(Documents: Study Sheet)Learn about finding the value of a rational expression and about undefined rational expressions.

Duration: 40 min



Activity 1.2.3: Quiz - Rational ExpressionsTake a quiz to assess your understanding of the material.


Lesson 1.3: Simplifying Rational ExpressionsActivity 1.3.1: Study - Simplifying Rational Expressions

(Documents: Study Sheet)Practice finding and dividing out common factors in numerators and denominators of rational expressions. Explore the crucial difference between common factors and terms.

Duration: 40 min



Activity 1.3.3: Quiz - Simplifying Rational ExpressionsTake a quiz to assess your understanding of the material.


Lesson 1.4: Multiplying and Dividing Rational ExpressionsActivity 1.4.1: Study - Multiplying and Dividing Rational Expressions

(Documents: Study Sheet)Review multiplying and dividing numerical fractions multiplying rational expressions dividing rational expressions and simplifying the results.

Duration: 40 min



Activity 1.4.3: Quiz - Multiplying Rational ExpressionsTake a quiz to assess your understanding of the material.


Activity 1.4.4: Quiz - Dividing Rational ExpressionsTake a quiz to assess your understanding of the material.


Lesson 1.5: Adding and Subtracting Rational ExpressionsActivity 1.5.1: Study - Adding and Subtracting Rational Expressions

(Documents: Study Sheet)Review adding and subtracting numerical fractions; adding and subtracting rational expressions with like denominators; finding least common denominators; multiples of rational expressions; and adding and subtracting rational expressions with unlike denominators.

Duration: 40 min

Activity 1.5.2: Checkup - Practice Problems

(Documents: Checkup)Complete a set of practice problems to hone your calculation skills.

Duration: 25 min

Activity 1.5.3: Quiz - Adding and Subtracting Rational ExpressionsTake a quiz to assess your understanding of the material.


Lesson 1.6: Finding the Golden RatioActivity 1.6.1: Study - Finding the Golden Ratio

(Documents: Study Sheet)Mimic the ancient Greeks by using just a straightedge and compass to divide any line segment into pieces exhibiting the golden ratio. Calculate the exact value of phi in the golden ratio by creating a rational equation and then solving it via the quadratic formula. Explore where this widespread ratio appears in nature art architecture and the human body. See how these concepts connect to golden rectangles and self-similar spirals.

Duration: 40 min

Lesson 1.7: Inverse VariationActivity 1.7.1: Study - Inverse Variation

(Documents: Study Sheet)Review direct variation and how increasing input leads to proportionally increasing output. Review inverse variation and how increasing input leads to proportionally decreasing output. Review finding the constant of variation.

Duration: 40 min



Activity 1.7.3: Quiz - Inverse VariationTake a quiz to assess your understanding of the material.


Lesson 1.8: Rational FunctionsActivity 1.8.1: Study - Rational Functions

(Documents: Study Sheet)Learn the definition of a rational function and about finding the domain of a given function. Explore the horizontal and vertical asymptotes of rational functions.

Duration: 40 min



Activity 1.8.3: Quiz - Rational FunctionsTake a quiz to assess your understanding of the material.


Lesson 1.9: Vertical AsymptotesActivity 1.9.1: Study - Vertical Asymptotes

(Documents: Study Sheet)Learn about graphs of rational functions finding vertical asymptotes and graphing rational functions with more than one vertical asymptote.

Duration: 40 min



Activity 1.9.3: Quiz - Finding Vertical AsymptotesTake a quiz to assess your understanding of the material.


Activity 1.9.4: Quiz - More than One Vertical AsymptoteTake a quiz to assess your understanding of the material.


Lesson 1.10: Graphing Rational FunctionsActivity 1.10.1: Study - Graphing Rational Functions

(Documents: Study Sheet)Learn about graphing rational functions with variables in the numerator constructing a sign chart and picking test numbers. Learn about rational functions with a singular point.

Duration: 40 min



Activity 1.10.3: Quiz - Graphing Rational FunctionsTake a quiz to assess your understanding of the material.


Activity 1.10.4: Study - Solving the Lever Problem(Documents: Study Sheet)

Explore a case study about solving a lever problem using rational functions. Duration: 40 min

Lesson 1.11: Wrap-UpActivity 1.11.1: Practice - Assignment

(Documents: Practice Assignment)Submit your work for a set of 20 practice problems.


Activity 1.11.2: Review - Review ExercisesTake part in interactive games to review unit material in preparation for upcoming assessments.

Duration: 1 hr

Activity 1.11.3: Discuss - Undefined and Infinite NumbersTake part in a three- to seven-question discussion about applying methods learned in this unit.


Activity 1.11.4: Test (CST) - Rational Expressions and EquationsTake a computer-scored test to assess what you have learned in this unit.


Activity 1.11.5: Test (TST) - Rational Expressions and EquationsTake a teacher-scored test to assess what you have learned in this unit.

Duration: 30 min Scoring: 50 Points Earned: _____ (optional)

Lesson 1.12: DiagnosticActivity 1.12.1: Diag - Rational Expressions and EquationsTake a diagnostic unit test that will generate a study plan based on your responses.


Unit 2: Radical Expressions and EquationsLesson 2.1: Basics of Radicals

Activity 2.1.1: Study - Basics of Radicals(Documents: Study Sheet)

Learn the definition of radical expression. Explore simplifying the product and quotient of radicals and simplifying individual radicals.

Duration: 40 min



Activity 2.1.3: Quiz - Simplifying Products of RadicalsTake a quiz to assess your understanding of the material.


Activity 2.1.4: Quiz - Simplifying Quotients of RadicalsTake a quiz to assess your understanding of the material.


Lesson 2.2: Multiplying and Dividing RadicalsActivity 2.2.1: Study - Multiplying and Dividing Radicals

(Documents: Study Sheet)Learn about multiplying and dividing radical expressions that include variables and about using the FOIL (first inner outer last) method to simplify radical expressions.

Duration: 40 min



Activity 2.2.3: Quiz - Multiplying RadicalsTake a quiz to assess your understanding of the material.


Activity 2.2.4: Quiz - Dividing RadicalsTake a quiz to assess your understanding of the material.


Lesson 2.3: Adding and Subtracting RadicalsActivity 2.3.1: Study - Adding and Subtracting Radicals

(Documents: Study Sheet)Learn about adding and subtracting radical expressions by combining like terms and about simplifying terms to get the same radicand.

Duration: 40 min



Activity 2.3.3: Quiz - Adding and Subtracting RadicalsTake a quiz to assess your understanding of the material.


Lesson 2.4: Rationalizing DenominatorsActivity 2.4.1: Study - Rationalizing Denominators

(Documents: Study Sheet)Learn about rationalizing a denominator in order to simplify a fraction with a radical expression in the denominator. Learn about multiplying by the conjugate of a denominator.

Duration: 40 min



Activity 2.4.3: Quiz - Rationalizing DenominatorsTake a quiz to assess your understanding of the material.


Lesson 2.5: Solving Radical EquationsActivity 2.5.1: Study - Solving Radical Equations

(Documents: Study Sheet)Learn how to solve equations with radical expressions by isolating the radical and squaring both sides.

Duration: 40 min



Activity 2.5.3: Quiz - Solving Radical EquationsTake a quiz to assess your understanding of the material.


Activity 2.5.4: Study - Applications of Radical Equations(Documents: Study Sheet)

Explore case studies in order to practice methods of solving radical equations in applied settings. Duration: 40 min

Lesson 2.6: Rational ExponentsActivity 2.6.1: Study - Rational Exponents

(Documents: Study Sheet)Learn about fractional exponents and nth roots; odd and even indices of radicals; the method of notation for writing an nth root; using a fractional exponent; and exponential expressions with decimal powers.

Duration: 40 min



Activity 2.6.3: Quiz - Fractional Exponents - Part 1Take a quiz to assess your understanding of the material.


Activity 2.6.4: Quiz - Fractional Exponents - Part 2Take a quiz to assess your understanding of the material.


Lesson 2.7: Complex NumbersActivity 2.7.1: Study - Complex Numbers

(Documents: Study Sheet)Learn about square roots of negative numbers; imaginary units; parts of a complex number; adding and subtracting complex numbers by collecting like terms and simplifying; multiplying two complex numbers using the FOIL method; and dividing complex numbers using complex conjugates.

Duration: 40 min



Activity 2.7.3: Quiz - Adding and Subtracting Complex NumbersTake a quiz to assess your understanding of the material.


Activity 2.7.4: Quiz - Multiplying and Dividing Complex NumbersTake a quiz to assess your understanding of the material.






Duration: 1 hr

Activity 2.8.3: Discuss - Rooting out Squares and CubesTake part in a three- to seven-question discussion about applying methods learned in this unit.


Activity 2.8.4: Test (CST) - Radical Expressions and EquationsTake a computer-scored test to assess what you have learned in this unit.


Activity 2.8.5: Test (TST) - Radical Expressions and EquationsTake a teacher-scored test to assess what you have learned in this unit.


Lesson 2.9: DiagnosticActivity 2.9.1: Diag - Radical Expressions and EquationsTake a diagnostic unit test that will generate a study plan based on your responses.


Unit 3: Exponents Logarithms & Their GraphsLesson 3.1: Exponential Functions

Activity 3.1.1: Study - Exponential Functions(Documents: Study Sheet)

Define the standard form of an exponential function and explore a variety of its applications such as exponential growth and decay (in the forms of doubling time and half-life) as well as compound interest. Compare compound interest to continuously compounded interest using the irrational number e.

Duration: 40 min



Activity 3.1.3: Quiz - Evaluating Exponential FunctionsTake a quiz to assess your understanding of the material.


Activity 3.1.4: Quiz - Calculating Exponential GrowthTake a quiz to assess your understanding of the material.


Lesson 3.2: Examples and Applications of Exponential Functions

Activity 3.2.1: Study - Examples and Applications of Exponential Functions(Documents: Study Sheet)

Explore case studies in exponential growth and decay and logarithmic growth. Duration: 40 min

Lesson 3.3: Graphs of Exponential FunctionsActivity 3.3.1: Study - Graphs of Exponential Functions

(Documents: Study Sheet)Learn about the shape of graphs of exponential functions with various bases and about finding the domain and range of exponential functions.

Duration: 40 min



Activity 3.3.3: Quiz - Graphs of Exponential FunctionsTake a quiz to assess your understanding of the material.


Lesson 3.4: Logarithmic FunctionsActivity 3.4.1: Study - Logarithmic Functions

(Documents: Study Sheet)Learn about undoing exponential functions graphing the inverse of an exponential or logarithmic function and the common and natural logarithm.

Duration: 40 min



Activity 3.4.3: Quiz - Logarithmic FunctionsTake a quiz to assess your understanding of the material.


Lesson 3.5: Graphs of Logarithmic FunctionsActivity 3.5.1: Study - Graphs of Logarithmic Functions

(Documents: Study Sheet)

Learn about the shape of graphs of logarithmic functions with various bases and about the domain and range of logarithmic functions.

Duration: 40 min



Activity 3.5.3: Quiz - Graphs of Logarithmic FunctionsTake a quiz to assess your understanding of the material.


Lesson 3.6: Properties of Exponents and LogarithmsActivity 3.6.1: Study - Properties of Exponents and Logarithms

(Documents: Study Sheet)Review product quotient and power laws of exponents; rewriting the log of a product as the sum of two logs; rewriting the log of a quotient as the difference of two logs; simplifying the log of a power; and using the change-of-base formula to rewrite logarithms.

Duration: 40 min



Activity 3.6.3: Quiz - Equivalent Exponential ExpressionsTake a quiz to assess your understanding of the material.


Activity 3.6.4: Quiz - Equivalent Logarithmic ExpressionsTake a quiz to assess your understanding of the material.


Activity 3.6.5: Quiz - Evaluating LogarithmsTake a quiz to assess your understanding of the material.


Lesson 3.7: Solving Exponential EquationsActivity 3.7.1: Study - Solving Exponential Equations

(Documents: Study Sheet)Learn about using ordinary algebra and the properties of logarithms to solve exponential equations. Answer questions inspired by the classic chessboard problem.

Duration: 40 min



Activity 3.7.3: Quiz - Solving Exponential EquationsTake a quiz to assess your understanding of the material.


Lesson 3.8: Solving Logarithmic EquationsActivity 3.8.1: Study - Solving Logarithmic Equations

(Documents: Study Sheet)Learn about using ordinary algebra and the definition of a logarithm to solve logarithmic equations. Answer questions about energy in earthquakes.

Duration: 40 min



Activity 3.8.3: Quiz - Solving Logarithmic EquationsTake a quiz to assess your understanding of the material.






Duration: 1 hr

Activity 3.9.3: Discuss - The Consequences of Exponential GrowthTake part in a three- to seven-question discussion about applying methods learned in this unit.


Activity 3.9.4: Test (CST) - Exponents Logarithms & Their GraphsTake a computer-scored test to assess what you have learned in this unit.


Activity 3.9.5: Test (TST) - Exponents Logarithms & Their GraphsTake a teacher-scored test to assess what you have learned in this unit.


Lesson 3.10: DiagnosticActivity 3.10.1: Diag - Exponents Logarithms & Their GraphsTake a diagnostic unit test that will generate a study plan based on your responses.


Unit 4: Sequences and Series

Lesson 4.1: Finding PatternsActivity 4.1.1: Study - Finding Patterns

(Documents: Study Sheet)Learn about image letter and number patterns and about finding the next term.

Duration: 40 min



Activity 4.1.3: Quiz - Finding PatternsTake a quiz to assess your understanding of the material.


Activity 4.1.4: Quiz - Letter and Number PatternsTake a quiz to assess your understanding of the material.


Lesson 4.2: Arithmetic SequencesActivity 4.2.1: Study - Arithmetic Sequences

(Documents: Study Sheet)Learn about arithmetic sequences common difference explicit and recursive formulas and finding the next term in a sequence.

Duration: 40 min



Activity 4.2.3: Quiz - Arithmetic SequencesTake a quiz to assess your understanding of the material.


Activity 4.2.4: Quiz - Rules For Arithmetic SequencesTake a quiz to assess your understanding of the material.


Lesson 4.3: Geometric SequencesActivity 4.3.1: Study - Geometric Sequences

(Documents: Study Sheet)Explore geometric sequences as sets of numbers in which the ratio between any two consecutive numbers is a constant. Compare how the recursive formula and the explicit formula allow you to find the value of any term in a geometric sequence. Explore the graphs of geometric sequences as exponential curves.

Duration: 40 min



Activity 4.3.3: Quiz - Geometric SequencesTake a quiz to assess your understanding of the material.


Activity 4.3.4: Quiz - Formulas for Geometric SequencesTake a quiz to assess your understanding of the material.


Lesson 4.4: Applications of Number SequencesActivity 4.4.1: Study - Applications of Number Sequences

(Documents: Study Sheet)Learn about applications and models of arithmetic geometric and special sequences.

Duration: 40 min



Activity 4.4.3: Quiz - Applications of Arithmetic SequencesTake a quiz to assess your understanding of the material.


Activity 4.4.4: Quiz - Applications of Geometric SequencesTake a quiz to assess your understanding of the material.


Activity 4.4.5: Quiz - Applications of Other SequencesTake a quiz to assess your understanding of the material.


Lesson 4.5: Number SeriesActivity 4.5.1: Study - Number Series

(Documents: Study Sheet)Explore arithmetic and geometric number series.

Duration: 40 min



Activity 4.5.3: Quiz - Arithmetic SeriesTake a quiz to assess your understanding of the material.


Activity 4.5.4: Quiz - Geometric SeriesTake a quiz to assess your understanding of the material.






Duration: 1 hr

Activity 4.6.3: Discuss - Examining Sequences and SeriesTake part in a three- to seven-question discussion about applying methods learned in this unit.


Activity 4.6.4: Test (CST) - Sequences and SeriesTake a computer-scored test to assess what you have learned in this unit.


Activity 4.6.5: Test (TST) - Sequences and SeriesTake a teacher-scored test to assess what you have learned in this unit.


Lesson 4.7: DiagnosticActivity 4.7.1: Diag - Sequences and SeriesTake a diagnostic unit test that will generate a study plan based on your responses.


Unit 5: Data Analysis & ProbabilityLesson 5.1: Review of Graphical Analysis of Data

Activity 5.1.1: Study - Review of Graphical Analysis of Data(Documents: Study Sheet)

Learn about the different ways to express data graphically and the various shapes or properties these representations have.

Duration: 40 min



Activity 5.1.3: Quiz - Types of Data DisplaysTake a quiz to assess your understanding of the material.


Activity 5.1.4: Quiz - Graphical Data AnalysisTake a quiz to assess your understanding of the material.


Lesson 5.2: Review of Numerical Analysis of DataActivity 5.2.1: Study - Review of Numerical Analysis of Data

(Documents: Study Sheet)Learn about the numerical analysis of data as it relates to means medians modes IQR outliers test quartiles boxplots variance and standard deviation.

Duration: 40 min



Activity 5.2.3: Quiz - Measures of Central TendencyTake a quiz to assess your understanding of the material.


Activity 5.2.4: Quiz - Quartiles and BoxplotsTake a quiz to assess your understanding of the material.


Activity 5.2.5: Quiz - Measures of SpreadTake a quiz to assess your understanding of the material.


Lesson 5.3: Review of Basic ProbabilityActivity 5.3.1: Study - Review of Basic Probability

(Documents: Study Sheet)Review the fundamental rules of probability as well as basic counting principles.

Duration: 40 min



Activity 5.3.3: Quiz - Counting PrinciplesTake a quiz to assess your understanding of the material.


Lesson 5.4: Advanced Counting PrinciplesActivity 5.4.1: Study - Advanced Counting Principles

(Documents: Study Sheet)Investigate factorials permutations and combinations as well as explore their applications in games of chance.

Duration: 40 min

Activity 5.4.2: Study - Games of Skill and ChanceExplore how probability concepts apply to cards dice and lottery games.

Duration: 50 min



Activity 5.4.4: Quiz - Advanced Counting PrinciplesTake a quiz to assess your understanding of the material.


Lesson 5.5: Conditional and Compound ProbabilityActivity 5.5.1: Study - Conditional and Compound Probability

(Documents: Study Sheet)Learn general rules for union and intersection conditional probability compound probability tables tree diagrams and Venn diagrams.

Duration: 40 min



Activity 5.5.3: Quiz - Conditional ProbabilityTake a quiz to assess your understanding of the material.


Activity 5.5.4: Quiz - Advanced Rules of ProbabilityTake a quiz to assess your understanding of the material.


Activity 5.5.5: Quiz - nullnull

Scoring: 30 Points Earned: _____

Lesson 5.6: Data Gathering and Inferential StatisticsActivity 5.6.1: Study - Data Gathering and Inferential Statistics

(Documents: Study Sheet)Investigate techniques for gathering data and explore how probability is used in statistical inference.

Duration: 40 min



Activity 5.6.3: Quiz - Data GatheringTake a quiz to assess your understanding of the material.


Activity 5.6.4: Quiz - InferenceTake a quiz to assess your understanding of the material.


Lesson 5.7: Random VariablesActivity 5.7.1: Study - Random Variables

(Documents: Study Sheet)Explore random variable concepts such as discrete continuous variables histograms density curves mean standard deviation of discrete random variables normal curve and z-score percentiles.

Duration: 40 min



Activity 5.7.3: Quiz - Random VariablesTake a quiz to assess your understanding of the material.


Activity 5.7.4: Quiz - Normal CurvesTake a quiz to assess your understanding of the material.


Lesson 5.8: Two-Variable DataActivity 5.8.1: Study - Two-Variable Data

(Documents: Study Sheet)Investigate two-variable data sets through concepts such as explanatory and response variables scatterplots correlation least-squares regression and residuals.

Duration: 40 min



Activity 5.8.3: Quiz - Scatterplots and CorrelationTake a quiz to assess your understanding of the material.


Activity 5.8.4: Quiz - Least Squares RegressionTake a quiz to assess your understanding of the material.


Activity 5.8.5: Study - Least Squares Regression Lines

Investigate two-variable data concepts such as scatterplots least-squares regression lines best-fit lines and residuals.

Duration: 40 min

Lesson 5.9: Experimental DesignActivity 5.9.1: Study - Experimental Design

(Documents: Study Sheet)Learn how to design and carry out an experiment employing the basic principles of experimental design.

Duration: 40 min



Activity 5.9.3: Quiz - Sampling and SimulationTake a quiz to assess your understanding of the material.


Activity 5.9.4: Quiz - Experimental DesignTake a quiz to assess your understanding of the material.






Duration: 1 hr

Activity 5.10.3: Discuss - Representing DataTake part in a three- to seven-question discussion about applying methods learned in this unit.


Activity 5.10.4: Test (CST) - Data Analysis & ProbabilityTake a computer-scored test to assess what you have learned in this unit.


Activity 5.10.5: Test (TST) - Data Analysis & ProbabilityTake a teacher-scored test to assess what you have learned in this unit.


Lesson 5.11: DiagnosticActivity 5.11.1: Diag - Data Analysis & ProbabilityTake a diagnostic unit test that will generate a study plan based on your responses.


Unit 6: Algebra II Semester 2 Review and ExamLesson 6.1: Preparing for the Semester Exam

Activity 6.1.1: Review - Semester Review(Documents: Review)

Prepare for the semester exam by reviewing key concepts covered in Algebra II Semester 2. Duration: 1 hr

Activity 6.1.2: Exam - Semester Exam Duration: 50 min Scoring: 216 Points Earned: _____

Appendix B: Additional ActivitiesB.1: Extra Credit

Scoring: 15 Points Earned: _____