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North Carolina Math II (2016)

Math II extends students' algebraic and geometric knowledge of functional relationships, geometric modeling, and probability andstatistics. Students learn through discovery and application, developing the skills they need to break down complex challenges anddemonstrate their knowledge in new situations.

Course topics include polynomials; congruence and similarity of figures; trigonometry with triangles; modeling with geometry;probability; making inferences; and justifying conclusions.

This course supports all students as they develop computational fluency, deepen conceptual understanding, and apply CommonCore's eight mathematical practice skills. Students begin each lesson by discovering new concepts through guided instruction, andthen confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools foranalyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly andquantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students tosynthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere insolving them. Throughout the course, students are evaluated through a diversity of assessments specifically designed to prepare themfor the content, form, and depth of the Common Core assessments.

This course is built to the Common Core State Standards for Mathematics.

Length: Two semesters

UNIT 1: APPLICATIONS OF PROBABILITY

LESSON 1: WHAT IS PROBABILITY?

Study: What Is Probability?Learn the definition for probability and explore its different forms.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsCheck your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: What Is Probability?Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Sample SpaceTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Simple and Compound EventsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Study: Organizing What Is PossibleExplore the numbers of possible outcomes from a brown bag containing gum balls of different colors.Duration: 0 hrs 35 mins Scoring: 0 points

LESSON 2: COUNTING PRINCIPLES

Study: Counting Principles

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Learn about counting strategies and the multiplication principle. Practice using tree diagrams and Venn diagrams in probabilityproblems. Learn the definitions for permutation and combination.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Counting PrinciplesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Counting PrinciplesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: PERMUTATIONS AND COMBINATIONS

Study: Permutations and CombinationsLearn about counting strategies and the multiplication principle. Practice using tree diagrams and Venn diagrams in probabilityproblems. Learn the definitions for permutation and combination.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Permutations and CombinationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Finding Probabilities With Permutations and CombinationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: BASIC RULES OF PROBABILITY

Study: Basic Rules of ProbabilityLearn four rules of probability, as well as the addition rule for disjoint events and the multiplication rule for independent events.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Basic Rules of Probability, Part ITake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: GEOMETRIC MODELS FOR PROBABILITY

Study: Geometric Models for ProbabilityUse area models to connect geometry to probability and statistics.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points


Quiz: Geometric Models for ProbabilityTake a quiz to assess your understanding of the material.Duration: 0 hrs 25 mins Scoring: 20 points

LESSON 6: CONDITIONAL PROBABILITY

Study: Conditional ProbabilityLearn how to identify and solve conditional probability problems using correct notation, formulas, and tables.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Conditional ProbabilityTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: A Student SurveyUse your knowledge of conditional probability to analyze the results of a student survey.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 7: INDEPENDENCE

Study: IndependenceLearn how to show if two events are independent, and solve probability problems for both independent and dependent eventsusing the multiplication rule and tree diagrams.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: IndependenceTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Smoking and Lung CancerUse what you know about conditional probability and independence to critique the reasoning of others.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 8: APPLICATIONS OF PROBABILITY WRAP-UP

Checkup: Applications of Probability Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Applications of ProbabilityPrepare for the unit test by reviewing key concepts and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): Applications of ProbabilityTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 42 points

Test (TS): Applications of ProbabilityTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points


UNIT 2: STATISTICAL ANALYSIS

LESSON 1: REVIEW OF GRAPHICAL ANALYSIS OF DATA

Study: Review of Graphical Analysis of DataLearn about the different ways to express data graphically and the various shapes or properties these representations have.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Types of Data DisplaysTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Graphical Data AnalysisTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: REVIEW OF NUMERICAL ANALYSIS OF DATA

Study: Review of Numerical Analysis of DataLearn about the numerical analysis of data as it relates to means, medians, modes, IQR, outliers, test quartiles, box plots,variance, and standard deviation.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Measures of Central TendencyTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Quartiles and Box PlotsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Measures of SpreadTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: DATA GATHERING AND INFERENTIAL STATISTICS

Study: Data Gathering and Inferential StatisticsInvestigate techniques for gathering data and explore how probability is used in statistical inference.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Data Gathering and InferenceTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: RANDOM VARIABLES


Study: Random VariablesExplore random variable concepts such as discrete continuous variables, histograms, density curves, mean, standard deviationof discrete random variables, normal curve, and z-score percentiles.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Random VariablesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Normal CurvesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Cell Phone Battery LifeEvaluate the design and results of an experiment with a peer.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: EXPERIMENTAL DESIGN

Study: Experimental DesignLearn how to design and carry out an experiment employing the basic principles of experimental design.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Sampling and SimulationTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Experimental DesignTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: EVALUATING PUBLISHED REPORTS

Study: Evaluating Published ReportsLearn how to evaluate the design of a study, the appropriateness of its analysis, and the validity of its conclusions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Evaluating Published ReportsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 7: APPLICATIONS OF STATISTICAL TECHNIQUES

Study: Applications of Statistical TechniquesLearn how statistical techniques are used to analyze real-world observational studies and experimental designs.Duration: 0 hrs 35 mins Scoring: 0 points



Quiz: Applications of Statistical TechniquesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Statistical Truth or Fiction?Evaluate gathered data and make a prediction using statistical techniques.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 8: STATISTICAL ANALYSIS WRAP-UP

Checkup: AssignmentSubmit your work for a set of 20 practice problems.Duration: 0 hrs 25 mins

Review: Statistical AnalysisGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 20 mins Scoring: 0 points

Test (CS): Statistical AnalysisTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 50 points

Test (TS): Statistical AnalysisTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 3: FUNCTIONS

LESSON 1: WHAT IS A FUNCTION?

Study: Relating to FunctionsLearn about functions, their graphs, and some special functions.Duration: 0 hrs 35 mins

Checkup: Lessons LearnedComplete a set of practice problems on functions.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: What Is a Function?Take a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: FUNCTIONS AND TABLES

Study: Functions and TablesLearn to use input-output tables to describe and define functions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Functions and TablesTake a quiz to check your understanding of what you have learned.


Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: GRAPHING FUNCTIONS

Study: Graphing FunctionsLearn the vertical line and horizontal line tests for evaluating a function. Evaluate a function for given values and explore specialfunctions.Duration: 0 hrs 35 mins

Checkup: Lessons LearnedComplete a set of practice problems on graphing functions.Duration: 0 hrs 25 mins

Quiz: Graphing FunctionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: PATTERNS AND LINES

Study: Patterns and LinesLearn about a type of relationship in functions called direct variation. Explore the connection between the equation of a line andpoints on its graph. Find the equation of a line by looking at the coordinates of its points. Graph a line using a chart of itssolutions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Finding Equations of Lines as SolutionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: LINEAR FUNCTIONS

Study: Linear FunctionsLearn about slope and the three main forms of linear functions.Duration: 0 hrs 35 mins

Checkup: Lessons LearnedComplete a set of practice problems on linear functions.Duration: 0 hrs 25 mins

Quiz: Linear FunctionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: LINEAR EQUATIONS AND INEQUALITIES

Study: Linear Equations and InequalitiesLearn how to solve linear equations and inequalities.Duration: 0 hrs 35 mins

Checkup: Lessons LearnedComplete a set of practice problems on linear equations and inequalities.Duration: 0 hrs 25 mins

Quiz: Linear Equations and InequalitiesTake a quiz to assess your understanding of the material.



Journal: The Summer JobWork through a real-world problem involving linear equations and inequalities.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 7: LINEAR SYSTEMS

Study: Finding the Point of IntersectionFind the point of intersection of linear systems using algebra, graphing, and matrices.Duration: 0 hrs 35 mins

Study: Connection to Business: Linear ProgrammingLearn how businesses solve problems using linear programming.Duration: 0 hrs 35 mins

Checkup: Practice ProblemsComplete a set of practice problems on linear systems.Duration: 0 hrs 25 mins

Quiz: Linear SystemsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 8: LINEAR AND NONLINEAR FUNCTIONS

Study: Linear and Nonlinear FunctionsLearn about linear and nonlinear functions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Linear and Nonlinear FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 9: NONLINEAR SYSTEMS OF EQUATIONS

Study: Nonlinear Systems of EquationsLearn about solution sets for nonlinear systems of equations, solving nonlinear systems of equations using the substitutionmethod, choosing which variable to isolate, substituting a squared variable, and determining the number of solutions. Explore ahuman-cannonball case study.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Nonlinear Systems of EquationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 10: NONLINEAR SYSTEMS OF INEQUALITIES

Study: Nonlinear Systems of InequalitiesLearn about solution sets for and graphs of nonlinear inequalities; boundaries of parabolas; three steps to graphing nonlinear


inequalities; and nonlinear systems of inequalities.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Nonlinear InequalitiesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 11: ARITHMETIC OF FUNCTIONS

Study: Arithmetic of FunctionsLearn how to add, subtract, multiply, divide, and compose functions.Duration: 0 hrs 35 mins

Checkup: Lessons LearnedComplete a set of practice problems on the arithmetic of functions.Duration: 0 hrs 25 mins

Quiz: Arithmetic of FunctionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 12: FUNCTIONS AND FORMULAS

Study: Functions and FormulasLearn to use an algebraic rule or formula to describe and define functions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Functions and FormulasTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Study: Solving the Profit ProblemUse what you know about functions, as well as information given in tables, graphs, and formulas, to solve a business problem.Duration: 0 hrs 35 mins Scoring: 0 points

LESSON 13: FUNCTIONS WRAP-UP

Checkup: Functions Practice ProblemsCheck your understanding of the unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: FunctionsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 20 mins Scoring: 0 points

Test (CS): FunctionsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 60 points

Test (TS): Functions


Take a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 51 points

UNIT 4: EXPONENTIAL FUNCTIONS

LESSON 1: TYPES OF NUMBERS

Study: Types of NumbersLearn about different types of real numbers, including exponents decimals and percents. Compare numbers of different typesand formats using a number line.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice ProblemsComplete a set of practice problems to hone your calculation skills.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Types of NumbersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Rational and Irrational NumbersTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: EXPONENTS

Study: ExponentsReview exponents and their place in the order of operations. Learn ways to evaluate exponential expressions. Learn aboutfractional and decimal exponents, radical notation, square roots, and scientific notation.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Exponential ExpressionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Operations with RadicalsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: EXPONENTIAL FUNCTIONS

Study: Exponential FunctionsDefine the standard form of an exponential function and explore a variety of its applications, such as exponential growth anddecay (in the forms of doubling time and half-life), as well as compound interest. Compare compound interest to continuouslycompounded interest using the irrational number e.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Evaluating Exponential FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points


Quiz: Calculating Exponential GrowthTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: EXAMPLES AND APPLICATIONS OF EXPONENTIAL FUNCTIONS

Study: Examples and Applications of Exponential FunctionsExplore case studies in exponential growth and decay and logarithmic growth.Duration: 0 hrs 35 mins Scoring: 0 points

Practice: Modeling: Valuable CoinsUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

Study: Simple and Compound InterestLearn about simple and compound interest.Duration: 0 hrs 35 mins Scoring: 0 points

LESSON 5: GRAPHS OF EXPONENTIAL FUNCTIONS

Study: Graphs of Exponential FunctionsLearn about the shape of graphs of exponential functions with various bases and about finding the domain and range ofexponential functions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Graphs of Exponential FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Exponential vs. QuadraticInterpret a table of cell growth data, and discuss with a peer.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 6: EXPONENTIAL FUNCTIONS WRAP-UP

Checkup: Exponential Functions Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Exponential FunctionsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): Exponential FunctionsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 50 points

Test (TS): Exponential FunctionsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 5: POLYNOMIALS

LESSON 1: WHAT IS A POLYNOMIAL?


Study: What Is a Polynomial?Learn the definitions for monomials, polynomials, constants, terms, coefficients, binomials, trinomials, and degree. Learn how tofind the degree of polynomials.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Degrees of PolynomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Degrees of Polynomials (Advanced)Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: ADDING AND SUBTRACTING POLYNOMIALS

Study: Adding and Subtracting PolynomialsLearn how tiles can be used to add or subtract like terms in polynomials. Practice adding and subtracting polynomials.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Polynomial Addition with TilesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Polynomial AdditionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Polynomial SubtractionTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: MULTIPLYING BINOMIALS

Study: Multiplying BinomialsLearn how tiles can be used to multiply linear binomials. Practice using the distributive property and the FOIL method to multiplytwo binomials.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Finding Products of BinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Finding the Product of Two BinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points


Quiz: The FOIL MethodTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Multiplying BinomialsUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 4: MULTIPLYING POLYNOMIALS

Study: Multiplying PolynomialsUse a table to begin learning how to multiply polynomials. Explore how polynomials can be multiplied vertically and horizontally.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Polynomial MultiplicationTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Polynomial Multiplication (Advanced)Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Multiplying PolynomialsConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: POLYNOMIALS WRAP-UP

Checkup: Polynomials Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: PolynomialsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 20 mins Scoring: 0 points

Test (CS): PolynomialsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 38 points

Test (TS): PolynomialsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 40 points

UNIT 6: FACTORING OF POLYNOMIALS

LESSON 1: WHY FACTOR?

Study: Why Factor?Explore the similarities between factoring numbers and polynomials. Learn the definitions for reducible polynomials, compositenumbers, and the zero-product rule.Duration: 0 hrs 35 mins Scoring: 0 points

Checkup: Practice Problems


Check your understanding of the lesson.Duration: 0 hrs 25 mins Scoring: 0 points

Quiz: Factoring PolynomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: FACTORING WITH TILES

Study: Factoring with TilesReview how to use tiles to find the factors of a polynomial.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Factoring Polynomials with TilesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Factoring with TilesUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 3: FACTORING AND GRAPHING

Study: Factoring and GraphingCompare roots and linear factors. Identify the roots of a polynomial. Explore what it means for a polynomial to have one root orno roots.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Factoring by GraphingTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Factoring by Graphing (Advanced)Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: GROUPING

Study: GroupingFind the greatest common factor (GCF) in a polynomial. Use the grouping method to factor one or more GCFs out of apolynomial.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Factoring by GroupingTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points


Quiz: Finding GCFs of PolynomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: FACTORING X2 + BX + C

Study: Factoring x2 + bx + cLearn the definitions for quadratic trinomials and leading coefficients. Learn how to factor quadratic trinomials with leadingcoefficients of 1.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Binomial Factors of TrinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Factoring TrinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: SPECIAL CASES

Study: Special CasesLearn how to work with special cases of factoring. Learn definitions for a perfect square trinomial, a difference of two squares,and a sum or difference of cubes. Practice using strategies that will help you factor each of these special cases.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Factoring a Difference of SquaresTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Factoring Perfect Square TrinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Sum or Difference of Two CubesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 7: FACTORING OF POLYNOMIALS WRAP-UP

Checkup: Factoring of Polynomials Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Factoring of PolynomialsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): Factoring of PolynomialsTake a computer-scored test to check what you have learned in this unit.



Test (TS): Factoring of PolynomialsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 7: RADICAL EXPRESSIONS AND FUNCTIONS

LESSON 1: BASICS OF RADICALS

Study: Basics of RadicalsLearn the definition of radical expression. Explore simplifying the product and quotient of radicals and simplifying individualradicals.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Simplifying Products of RadicalsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Simplifying Quotients of RadicalsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: MULTIPLYING AND DIVIDING RADICALS

Study: Multiplying and Dividing RadicalsLearn about multiplying and dividing radical expressions that include variables and about using the FOIL (first inner outer last)method to simplify radical expressions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Multiplying RadicalsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Dividing RadicalsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: ADDING AND SUBTRACTING RADICALS

Study: Adding and Subtracting RadicalsLearn about adding and subtracting radical expressions by combining like terms and about simplifying terms to get the sameradicand.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Adding and Subtracting Radicals


Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: RATIONALIZING DENOMINATORS

Study: Rationalizing DenominatorsLearn about rationalizing a denominator in order to simplify a fraction with a radical expression in the denominator. Learnabout multiplying by the conjugate of a denominator.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Rationalizing DenominatorsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Rationalizing DenominatorsDiscuss rationalizing denominators with a peer.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: SOLVING RADICAL FUNCTIONS

Study: Solving Radical FunctionsLearn how to solve equations with radical expressions by isolating the radical and squaring both sides.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Solving Radical FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: APPLICATIONS OF RADICAL EQUATIONS

Study: Applications of Radical EquationsExplore case studies in order to practice methods of solving radical equations in applied settings.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Applications of Radical EquationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Pendulums and BridgesCreate an equation to model pendulums and bridges.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 7: RATIONAL EXPONENTS

Study: Rational ExponentsLearn about fractional exponents and nth roots, odd and even indices of radicals, the method of notation for writing an nth


root, the use of fractional exponents, and exponential expressions with decimal powers.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Fractional Exponents — Part 1Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Fractional Exponents — Part 2Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 8: PERFORMANCE TASK: THE SKID DISTANCE PROBLEM

Study: The Skid Distance ProblemLearn how the length of skid marks left by a vehicle is an application of square root functions. Use the skid distance equation tosolve for drag factor of various road surfaces, as well as skid mark lengths and original speed of a variety of vehicles.Duration: 0 hrs 35 mins Scoring: 0 points

Project: Solving the Skid Distance ProblemAssume the role of investigator and take on a skid distance problem.Duration: 2 hrs Scoring: 120 points

LESSON 9: RADICAL EXPRESSIONS AND FUNCTIONS WRAP-UP

Checkup: AssignmentSubmit your work for a set of 20 practice problems.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Radical Expressions and FunctionsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 20 mins Scoring: 0 points

Test (CS): Radical Expressions and FunctionsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 42 points

Test (TS): Radical Expressions and FunctionsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 27 points

UNIT 8: MATHEMATICS II SEMESTER 1 EXAM

LESSON 1: MATHEMATICS II SEMESTER 1 EXAM

Review: Mathematics II Semester 1Prepare for the final exam by reviewing key concepts and skills.Duration: 0 hrs 10 mins Scoring: 0 points

Exam: Mathematics II Semester 1Take a computer-scored exam to demonstrate your mastery of concepts and skills covered in Mathematics II Semester 1.Duration: 0 hrs 50 mins Scoring: 200 points

UNIT 9: QUADRATIC EQUATIONS AND FUNCTIONS

LESSON 1: PARABOLAS


Study: ParabolasLearn about finding a parabola's equation from its graph; the effect of the squared variable's coefficient on the parabola'sorientation and shape; equations of parabolas with vertices at points other than the origin; vertex form and standard form of anequation for a parabola; and converting between vertex form and standard form.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Parabolas with Vertices at the OriginTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Parabolas with Vertices Not at the OriginTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Converting Parabolic EquationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: SOLVING QUADRATIC EQUATIONS

Study: Solving Quadratic EquationsCompare quadratic and nonquadratic equations. Learn how to solve quadratic equations by using factoring and the zero-product rule.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Factoring with the Zero-Product RuleTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Converting Quadratics to Standard FormTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Quadratics with Perfect Square TrinomialsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: THE QUADRATIC FORMULA

Study: The Quadratic FormulaLearn the definitions for the quadratic formula, imaginary numbers, complex numbers, and discriminants. Explore how thequadratic formula works and practice using it to factor quadratic equations.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Complex Numbers and Discriminants



Quiz: The Quadratic FormulaTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: GRAPHS OF QUADRATIC FUNCTIONS

Study: Graphs of Quadratic FunctionsRelate factors of a quadratic function to the graph of a parabola and its corresponding x-intercepts. Locate the vertex of aquadratic function graphically and algebraically. Use the discriminant of the quadratic formula to identify the number and typesof solutions to a given quadratic equation, as well as to visualize its corresponding graph.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Graphs of Quadratic FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Working with the DiscriminantTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: SYSTEMS WITH QUADRATIC EQUATIONS

Study: Systems with Quadratic EquationsLearn about solution sets for nonlinear systems of equations, solving nonlinear systems of equations using the substitutionmethod, choosing which variable to isolate, substituting a squared variable, and determining the number of solutions. Explore ahuman-cannonball case study.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Systems with Quadratic EquationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: LINEAR, QUADRATIC, AND EXPONENTIAL MODELS

Study: Linear, Quadratic, and Exponential ModelsIdentify and compare linear, quadratic, and exponential functions and write functions that model real-world situations.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Linear, Quadratic, and Exponential ModelsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Linear, Quadratic, and Exponential Models


Use tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 7: PERFORMANCE TASK: PRICING FOR PROFIT

Study: The Radio ProblemUse what you have learned about graphing polynomials to solve a real-world business problem.Duration: 0 hrs 35 mins Scoring: 0 points

Project: Your Dog-Walking BusinessUse your knowledge, skills, and resources to make sense of and persevere in solving a real-world problem.Duration: 2 hrs Scoring: 120 points

LESSON 8: QUADRATIC EQUATIONS AND FUNCTIONS WRAP-UP

Checkup: Quadratic Equations and Functions Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Quadratic Equations and FunctionsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): Quadratic Equations and FunctionsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 48 points

Test (TS): Quadratic Equations and FunctionsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 38 points

UNIT 10: FUNCTIONS, PARENT FUNCTIONS, AND TRANSFORMATIONS

LESSON 1: PARENT FUNCTIONS

Study: Parent FunctionsLearn about the properties and graphs of linear parent functions, quadratic parent functions, absolute value parent functions,and reciprocal parent functions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Parent FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: SHIFTING FUNCTIONS

Study: Shifting FunctionsLearn about shifting graphs of functions up/down and left/right by changing the coordinates of each ordered pair. Learn aboutchanging the equation of a function to shift its graph vertically or horizontally and about combining vertical and horizontal shifts.Duration: 0 hrs 35 mins Scoring: 0 points



Quiz: Shifting Functions VerticallyTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Shifting Functions HorizontallyTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Shifting Functions Vertically and HorizontallyTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Shifting FunctionsConstruct arguments and critique the reasoning of others as you write about topics in algebra.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 3: STRETCHING FUNCTIONS VERTICALLY

Study: Stretching Functions VerticallyLearn about vertically stretching or compressing a function's graph by multiplying by a constant; flipping the graph bymultiplying by a negative constant; and combining vertical stretches with vertical or horizontal shifts.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Stretching Functions VerticallyTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Stretching Functions VerticallyUse tools to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

Study: Solving the Ball-Tossing ProblemLearn about shifting and stretching graphs and using inverses and about how to apply these methods to the real-world problemof tossing a ball. Learn about using average velocity as an estimate of instantaneous velocity.Duration: 0 hrs 35 mins Scoring: 0 points

LESSON 4: TRANSFORMATION OF PARENT FUNCTIONS

Study: Transformation of Parent FunctionsLearn how to perform vertical shifts, horizontal shifts, vertical stretches and compressions, horizontal stretches andcompressions, and any combination of these transformations on parent functions.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Transformation of Parent FunctionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: FUNCTIONS, PARENT FUNCTIONS, AND TRANSFORMATIONS WRAP-UP

Checkup: Functions, Parent Functions, and Transformations Practice Problems


Check your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Functions, Parent Functions, and TransformationsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 20 mins Scoring: 0 points

Test (CS): Functions, Parent Functions, and TransformationsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 28 points

Test (TS): Functions, Parent Functions, and TransformationsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 32 points

UNIT 11: PREPARING FOR PROOFS

LESSON 1: INDUCTION: THE SEARCH FOR RULES AND PATTERNS

Study: Induction: The Search for Rules and PatternsLearn about looking for patterns, making conjectures, cross-referencing to history and science, real-world examples of inductivereasoning, building a triangle, and examples of symmetry.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Induction: The Search for Rules and PatternsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: DEDUCTION: MAKING A CASE

Study: Deduction: Making a CaseLearn about the definition of deductive reasoning; postulates and conditional statements; and using deductive reasoning inproofs. Explore a real-world example of deducing that deals with the combination of a lock.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Deduction: Making a CaseTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: THE LOOK AND LANGUAGE OF LOGIC

Study: The Look and Language of LogicExplore examples of geometric reasoning. Learn about converses, inverses, and contrapositives of conditional statements.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: The Look and Language of Logic



LESSON 4: INTRODUCTION TO PROOFS

Study: Introduction to ProofsLearn about postulates and axioms, givens, proof by contradiction (indirect proof), theorems and corollaries, and the axiomaticmethod.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: Introduction to ProofsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: PREPARING FOR PROOFS WRAP-UP

Checkup: Preparing for Proofs Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Preparing for ProofsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): Preparing for ProofsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 28 points

Test (TS): Preparing for ProofsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 24 points

UNIT 12: TRIANGLES

LESSON 1: WHAT IS A TRIANGLE?

Study: What Is a Triangle?Learn about the definition and parts of a triangle; opposite and included figures; naming and sorting triangles; equilateral,isosceles, and scalene triangles; and the triangle inequality theorem.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Naming Triangles by Angle MeasuresTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Naming Triangles by Side LengthsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: The Triangle Inequality TheoremTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: THE ANGLES OF A TRIANGLE


Study: The Angles of a TriangleExplore the angle sum theorem and third angle theorem for triangles. Investigate the relationship between a given triangle'svertex and its exterior and remote interior angles.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Angle TheoremsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Exterior and Remote Interior AnglesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: CONGRUENCE

Study: CongruenceLearn about congruence, transformations of triangles, corresponding triangles, notation for writing congruence statements, andthe CPCTC triangle congruence theorem.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Congruent TrianglesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Properties of CongruenceTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: CONGRUENCE POSTULATES

Study: Congruence PostulatesLearn about postulates including the SSS, SAS, ASA, and AAS theorems.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Using Congruence PostulatesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: The AAS TheoremTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 5: SIMILAR TRIANGLES

Study: Similar TrianglesLearn about similarity versus congruence, testing for similarity among triangles, proportionality, the definition of similar triangles,


and scale factor.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Similar TrianglesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: SIMILARITY THEOREMS AND PROPORTIONAL REASONING

Study: Similarity Theorems and Proportional ReasoningLearn about the ASA similarity postulate, the SSS similarity theorem, and the SAS similarity theorem.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Similarity TheoremsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Similarity TheoremsUse your knowledge of similarity to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 7: TRIANGLE THEOREMS

Study: Triangle TheoremsLearn and prove the isosceles triangle theorem and its converse. Investigate two corollaries involving angle measures forequilateral triangles. Explore theorems for scalene triangles. Apply what you have learned to solve Thales's problem.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Isosceles and Equilateral TrianglesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Scalene TrianglesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 8: MEDIANS AND ALTITUDES

Study: Medians and AltitudesIdentify and explore medians and altitudes. Discover their relationship to centroids, orthocenters, incenters, and circumcenters.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: Medians and AltitudesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points


LESSON 9: BISECTORS AND MIDSEGMENTS

Study: Bisectors and MidsegmentsIdentify and explore angle bisectors, perpendicular bisectors, and midpoint bisectors, and lines parallel to one side of a triangleto discover their relationships to circumcenters, incenters, and side lengths.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: Bisectors and MidsegmentsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 10: TRIANGLES WRAP-UP

Checkup: Triangles Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: TrianglesGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): TrianglesTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 46 points

Test (TS): TrianglesTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 26 points

UNIT 13: RIGHT TRIANGLES AND TRIGONOMETRY

LESSON 1: THE PYTHAGOREAN THEOREM

Study: The Pythagorean TheoremLearn how the Pythagorean theorem applies only to right triangles and discover one proof of it. Learn about the converse of thePythagorean theorem, Pythagorean triples, and applying the theorem to the problem of fitting a baseball bat into a rectangulartrunk.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: The Pythagorean TheoremTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Proving the Pythagorean TheoremUse what you know about congruence of triangles to prove the Pythagorean Theorem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 2: SIMILAR RIGHT TRIANGLES

Study: Similar Right TrianglesExplore the properties of similar right triangles. Prove that if an altitude is drawn from the right-angle vertex of a right triangle toits hypotenuse, then three similar triangles are formed. Calculate the missing sides of similar right triangles by using proportionsand apply concepts learned to a miniature-golf problem.Duration: 0 hrs 35 mins Scoring: 0 points



Quiz: Similar Right TrianglesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: SPECIAL RIGHT TRIANGLES

Study: Special Right TrianglesExplore 45-45-90 and 30-60-90 triangles as special cases of right triangles and learn how to apply the ratios of their sidelengths.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: 45-45-90 Right TrianglesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: 30-60-90 Right TrianglesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: TRIGONOMETRIC RATIOS

Study: Trigonometric RatiosLearn the definitions of sine, cosine, and tangent. Memorize the shortcut "soh-cah-toa" as a way to relate these ratios. Explorethe use of trigonometric ratios in the solution of a real-world problem involving the construction of a cable car.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Trigonometric RatiosTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Leaning TowersUse your knowledge of right triangles, trigonometric ratios, and the Pythagorean Theorem to model and solve a real-worldproblem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: AREA OF A TRIANGLE WITH COORDINATE GEOMETRY

Study: Area of a Triangle with Coordinate GeometryLearn about the area of a polygon, square units, and the triangle area formula and theorem.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Area of a Triangle



LESSON 6: LAW OF COSINES AND PROOFS

Study: Law of Cosines and ProofsUse the law of cosines to solve triangles.Duration: 0 hrs 35 mins

Checkup: Practice ProblemsComplete a set of practice problems using the law of cosines.Duration: 0 hrs 25 mins

Quiz: Law of Cosines and ProofsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 7: LAW OF SINES AND PROOFS

Study: Law of Sines and ProofsUse the law of sines to solve triangles and to explore the ambiguous case.Duration: 0 hrs 35 mins

Checkup: Practice ProblemsComplete a set of practice problems using the law of sines.Duration: 0 hrs 25 mins

Quiz: Law of Sines and ProofsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Law of Sines and ProofsUse what you know about triangles and trigonometric ratios to prove the law of sines.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 8: RIGHT TRIANGLES AND TRIGONOMETRY WRAP-UP

Checkup: Right Triangles and Trigonometry Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Right Triangles and TrigonometryGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): Right Triangles and TrigonometryTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 44 points

Test (TS): Right Triangles and TrigonometryTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 40 points

UNIT 14: CIRCLES

LESSON 1: WHAT IS A CIRCLE?

Study: What Is a Circle?Learn about the definition of a circle and about its center, radius, and circumference.




Quiz: What Is a Circle?Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: CHORDS

Study: ChordsInvestigate the properties and definitions of chords and diameters. Discover that two chords are congruent if they are the samedistance from the center of the circle. Prove that the radius bisects a chord if it is perpendicular to the chord.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Congruent ChordsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Chords and Perpendicular RadiiTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Diameter of a CircleTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: THE DISTANCE FORMULA

Study: The Distance FormulaDerive the distance formula from the Pythagorean theorem. Use this formula to calculate the distance between any two points.Apply the distance formula in a real-world problem that involves locating the shortest route on a nautical map.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: The Distance FormulaTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: CIRCLES WITH COORDINATES AND PROOFS

Study: Circles with Coordinates and ProofsUse algebra to find an equation whose solution set is a circle. Learn about the standard equation for circles that are notcentered at the origin.Duration: 0 hrs 35 mins Scoring: 0 points



Quiz: Circles Centered at the OriginTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Circles Not Centered at the OriginTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: Point on a CircleUse what you know about equations of circles to prove whether or not a point is on a circle.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: ARCS

Study: ArcsLearn the definitions of arc, endpoint, central angle, and intercept. Learn about minor and major arcs and semicircles, arcnotation, the measure of minor and major arcs, and the arc congruence and congruent chord theorems.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Arc Types and MeasureTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: CIRCUMFERENCE AND ARC LENGTH

Study: Circumference and Arc LengthLearn about the irrational number pi and the formula for finding the circumference of a circle. Apply circumference to a real-world problem about how to build a bridge that's tall enough for boats to travel beneath it. Learn about the degree measure ofan arc and arc length. Derive the formula for arc length.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Circumference of a CircleTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Arc LengthTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 7: AREA AND SECTORS

Study: Area and SectorsLearn about the formula for the area of a circle. Explore a case study comparing the cost per square inch of small and largepizzas. Learn about sectors and the area of a sector.Duration: 0 hrs 35 mins Scoring: 0 points



Quiz: Area of a CircleTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Area of a SectorTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: Stained Glass WindowUse what you know about finding the area of circles and sectors to model and solve a real-world problem.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 8: CIRCLES WRAP-UP

Checkup: Circles Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: CirclesGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): CirclesTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 38 points

Test (TS): CirclesTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 44 points

UNIT 15: THREE-DIMENSIONAL SOLIDS

LESSON 1: THREE DIMENSIONS

Study: Three DimensionsLearn about measuring three-dimensional figures.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: Three DimensionsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 2: WHAT IS A POLYHEDRON?

Study: What Is a Polyhedron?Learn about the definition and elements of a polyhedron, prisms and their components, triangular and rectangular prisms,cubes, and regular and irregular pyramids.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: What Is a Polyhedron?Take a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: CYLINDERS AND CONES

Study: Cylinders and ConesLearn about the definition, components, and properties of a cylinder; the definition and components of a cone; and thesimilarities between cones and pyramids.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Cylinders and ConesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: PLATONIC SOLIDS

Study: Platonic SolidsLearn about polygonal numbers, regularity of Platonic solids, and building your own Platonic solids.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: Platonic SolidsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Practice: Modeling: SolidsPractice with a real-world solid modeling application.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 5: SURFACE AREA

Study: Surface AreaLearn about perimeter and surface area; base and lateral area; slant height versus altitude; and the formulas for surface area ofa right prism, an oblique prism, a regular pyramid, an oblique cylinder, a right cone, and an oblique cone. Explore sampleproblems dealing with these subjects.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Surface Area of Regular Prisms and PyramidsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Surface Area of Right Cylinders and ConesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 6: VOLUME

Study: VolumeLearn about area and volume, the formulas for volume of a cube and a rectangular prism, and Bonaventura FrancescoCavalieri's principle. Learn about the formulas for volume of a cylinder, a pyramid, and a cone; explore sample problems dealingwith these formulas. Learn about cross-sectional area.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Volume of Prisms, Cylinders, and CubesTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Quiz: Volume of Cones, Cylinders, and PyramidsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points


Journal: VolumeThink about and discuss how changing one dimension of a given shape changes its volume and surface area.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 7: SPHERES

Study: SpheresLearn about the definition of a sphere; the formulas for surface area and volume of a sphere; comparing the surface area andvolume of a sphere, cube, cylinder, and cone; and using Cavalieri's principle to derive the formula for volume of a sphere.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: SpheresTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 8: SIMILAR SOLIDS

Study: Similar SolidsLearn about similar prisms, pyramids, cylinders, cones, and spheres; the constant ratio between corresponding parts of similarsolids; and the ratio of volumes of similar solids.Duration: 0 hrs 35 mins Scoring: 0 points


Quiz: Similar SolidsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 9: THREE-DIMENSIONAL SOLIDS WRAP-UP

Checkup: Three-Dimensional Solids Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: Three-Dimensional SolidsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): Three-Dimensional SolidsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 50 points

Test (TS): Three-Dimensional SolidsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 16: TRANSFORMATIONS

LESSON 1: TRANSFORMATIONS

Study: TransformationsLearn about rigid motions, describe the image and preimage, predict the results of transformations, and use series oftranformations to move figures onto themselves.



Quiz: TransformationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

Journal: TransformationsCritique a conjecture about a series of transformations.Duration: 0 hrs 30 mins Scoring: 20 points

LESSON 2: SYMMETRY

Study: SymmetryLearn about reflectional symmetry and line of symmetry and explore an example of an isosceles triangle. Learn about rotationalsymmetry, point of symmetry, and the symmetry of a human face.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: SymmetryTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 3: TESSELLATIONS

Study: TessellationsLearn the definition and explore examples of tessellations. Discover the chessboard as an example of a regular tessellation.Learn about semiregular tessellations.Duration: 0 hrs 35 mins Scoring: 0 points

Quiz: TessellationsTake a quiz to check your understanding of what you have learned.Duration: 0 hrs 20 mins Scoring: 20 points

LESSON 4: TRANSFORMATIONS WRAP-UP

Checkup: Transformations Practice ProblemsCheck your understanding of the topics in this unit.Duration: 0 hrs 25 mins Scoring: 0 points

Review: TransformationsGet ready for the unit test by reviewing important ideas and skills.Duration: 0 hrs 30 mins Scoring: 0 points

Test (CS): TransformationsTake a computer-scored test to check what you have learned in this unit.Duration: 0 hrs 40 mins Scoring: 24 points

Test (TS): TransformationsTake a teacher-scored test to check what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 31 points

UNIT 17: MATHEMATICS II SEMESTER 2 EXAM

LESSON 1: MATHEMATICS II SEMESTER 2 EXAM

Review: Mathematics II Semester 2Prepare for the final exam by reviewing key concepts and skills.Duration: 0 hrs 10 mins Scoring: 0 points

Exam: Mathematics II Semester 2


Take a computer-scored exam to demonstrate your mastery of concepts and skills covered in Math II Semester 2.Duration: 0 hrs 50 mins Scoring: 190 points


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North Carolina Math II (2016) - Apex Learningcdn.apexlearning.com/course_pdfs/474-cs.pdf · North Carolina Math II (2016) ... Learn the definitions for permutation and combination