Table of Contents for CASMAN Math Curriculum

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  • 8/14/2019 Table of Contents for CASMAN Math Curriculum

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    Enriched Mathematics ProgramCASMAN Academy

    This document works as a Table of Contents for all four Enriched Mathematics Courses.

    Use the links below to take you to Keypoints, Opening Activities, Guided Practice, and Independent

    Study for the listed Skills for all four courses.

    Opening Activities are geared to pique student interest and introduce the Keypoints to be learned.Guided Practice is a group of inquires to help students manipulate the content of the Keypoints in avariety of ways. Independent Study is designed to aid to students in gaining a deeper understandingof the principles that make up the Keypoint, and are generally used to assess a students mastery ofthe content.

    Enriched Mathematics I1.1 Positive and Negative Numbers

    Positive and Negative Numbers

    1.2 Computation with Positive and Negative Numbers Operation of Integers

    Intro to Exponents

    Properties of Numbers

    1.3 Order of Operations Order of Operations

    Evaluating Algebraic Expressions

    1.4 Percent

    Percents

    1.5 Percent Problems Percent Problems

    Compound Interest, Multiple Discounts, and Weighted Averages

    1.6 Ratio and Proportion Ratios, Rates, and Proportions

    Using Proportions

    1.7 Statistics-Mean, Median, and Mode & Central Tendencies Mean, Median, and Mode

    Quartiles and Interquartile Range Variance and Standard Deviation

    1.8 Data Collection, Representation, and Interpretation Data Collection

    Basic Representation(Bar Graph, Line Graph, and Circle Graphs)

    Advanced Representation (Stem & Leaf, Histograms, and Box and Whiskers)

    Interpretation

    1.9 Basic Elements of Plane Geometry Fundamental Concepts of Plane Geometry

    Basic Geometric Constructions

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    1.10 Angles Classifying Angles

    Working with Angles

    1.11 Polygons Triangles

    Quadrilateral Names and Relationships

    Understanding Area, Perimeter, and Various Area Formulas

    Polygon Angle Measures & Properties

    Basic Transformations Tessellations

    1.12 Writing Linear Expressions and Equations Writing Expressions and Equations

    1.13 Solving Linear Equations & Intro to Functions Modeling Linear Equations and Expressions

    Solve Equations by Addition or Subtraction

    Solve Equations by Multiplication or Division

    Solve Two-Step Equations

    Solving Multi-Step Equations

    Intro to Functions

    1.14 Graphing Equations on the Coordinate Plane & Function Investigations Plotting Ordered Pairs

    Multiple Representation of Data

    Slope

    Slope-Intercept and Standard Form

    Parallel and Perpendicular Lines

    Scatter Plots and Correlation

    Best Fit Lines

    Working with Functions

    1.15 Elementary Counting Techniques Constructing Sample Spaces Elementary Counting Techniques

    1.16 Probability Simple Probabilities and Simulations

    Complex Events

    Enriched Mathematics II2.1 Evaluating Formulas and Expressions

    Evaluating Formulas and Expressions

    2.2 Exponents and Radicals Powers and Roots

    Properties of Exponents and Negative Exponents

    Scientific Notation

    2.3 Operations with Radicals Operations with Radicals

    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nes.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Scatter%20Plots%20and%20Correlation.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Parallel%20and%20Perpendicular%20Lines.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Slope-Intercept%20and%20Standard%20Form.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20slope.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Multiple%20Representations%20of%20Data.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Plotting%20Ordered%20Pairs.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Intro%20to%20Functions.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Solving%20Multi-Step%20Equations.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Solve%20Two-Step%20Equations.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Solve%20Equations%20by%20Multiplication%20or%20Division.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Solve%20Equations%20by%20Addition%20or%20Subtraction.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Modeling%20Linear%20Equations%20and%20Expressions.dochttp://integrated%20math%20i/1-12%20to%201-16/KeyPoints%20and%20Inquires%20for%20Writing%20Expressions%20and%20Equations.dochttp://integrated%20math%20i/1-7%20to%201-11/KeyPoints%20and%20Inquires%20for%20Tessellations.dochttp://integrated%20math%20i/1-7%20to%201-11/KeyPoints%20and%20Inquires%20for%20Basic%20Transformation.dochttp://integrated%20math%20i/1-7%20to%201-11/KeyPoints%20and%20Inquires%20for%20Quadrilateral%20Angle%20Measures%20&%20Properties.dochttp://integrated%20math%20i/1-7%20to%201-11/KeyPoints%20and%20Inquires%20for%20Understanding%20Area,%20Perimeter,%20and%20Various%20Area%20Formulas.dochttp://integrated%20math%20i/1-7%20to%201-11/KeyPoints%20and%20Inquires%20for%20Quadrilaterals%20Names%20and%20Relationships.dochttp://integrated%20math%20i/1-7%20to%201-11/KeyPoints%20and%20Inquires%20for%20Triangles.dochttp://integrated%20math%20i/1-7%20to%201-11/KeyPoints%20and%20Inquires%20for%20Working%20with%20Angles.dochttp://integrated%20math%20i/1-7%20to%201-11/KeyPoints%20and%20Inquires%20for%20Classifying%20Angles.doc
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    2.14 Using Geometric Formulas Advance Area Investigations

    Area of Complex Composite Figures

    Using Formulas

    2.15 Right Triangle Trigonometry Trigonometric Ratios and Angle Measures

    Solving with Trig Functions

    Enriched Mathematics III3.1 Geometry in Three Dimensions

    Identifying 3-D Figures

    Properties and Representations of 3-D Figures

    Volume

    Surface Area

    Exploring Volume and Surface Area

    3.2 Polynomials Identifying and Simplifying Polynomials

    Classifying and Graphing Polynomials

    Evaluating Polynomial Functions

    Representing Polynomial Functions as Functions, Tables, and Graphs

    3.3 Operations on Polynomials Adding and Subtracting Polynomials

    Multiplying and Dividing Polynomials

    Emphasis on FOIL

    3.4 Factoring Polynomials-Solving Greatest Common Factors

    Factoring Quadratic Equations

    Factoring Special Products

    Zeroes and Graphs of Polynomial Functions

    3.5 Solving Systems of Linear Equations Intro to Solutions of Systems of Linear Equations

    Solving Systems of Linear Equations

    3.6 Absolute Value Equations and Inequalities Inequalities with One Variable

    Absolute Value Functions, Equations, and Inequalities

    3.7 Solving Inequalities Solve One Step Inequalities

    Solve Two Step Inequalities

    Solve Multi-Step, Compound, and Quadratic Inequalities

    3.8 Using Inequalities Using Inequalities

    3.9 Graphing Systems of Inequalities on the Coordinate Plane Graphing and Solving Linear Inequalities

    Graphing and Solving Systems of Linear Inequalities

    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or%20Solving%20Systems%20of%20Linear%20Equations.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Intro%20to%20Solutions%20of%20Systems%20of%20Linear%20Equations.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Zeroes%20and%20Graphs%20of%20Polynomial%20Functions.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Factoring%20Special%20Products.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Factoring%20Quadratic%20Equations.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Greatest%20Common%20Factors.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Emphasis%20on%20FOIL.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Multiplying%20and%20Dividing%20Polynomials.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Adding%20and%20Subtracting%20Polynomials.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Representing%20Polynomial%20Functions%20as%20Functions,%20Tables,%20and%20Graphs.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Evaluating%20Polynomial%20Functions.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Classifying%20and%20Graphing%20Polynomials.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Identifying%20and%20Simplifying%20Polynomials.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Exploring%20Volume%20and%20Surface%20Area.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Surface%20Area.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Volume.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Properties%20and%20Representations%20of%203-D%20Figures.dochttp://integrated%20math%20iii/3-1%20to%203-5/KeyPoints%20and%20Inquires%20for%20Identifying%203-D%20Figures.dochttp://integrated%20math%20ii/2-12%20to%202-16/KeyPoints%20and%20Inquires%20for%20Solving%20with%20Trig%20Functions.dochttp://integrated%20math%20ii/2-12%20to%202-16/KeyPoints%20and%20Inquires%20for%20Trigonometric%20Ratios%20and%20Angle%20Measures.dochttp://integrated%20math%20ii/2-12%20to%202-16/KeyPoints%20and%20Inquires%20for%20Using%20Formulas.dochttp://integrated%20math%20ii/2-12%20to%202-16/KeyPoints%20and%20Inquires%20for%20Area%20of%20Complex%20Composite%20Figures.dochttp://integrated%20math%20ii/2-12%20to%202-16/KeyPoints%20and%20Inquires%20for%20Advance%20Area%20Investigations.doc
  • 8/14/2019 Table of Contents for CASMAN Math Curriculum

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    3.10 Patterns, Sequences, and Modeling Arithmetic Sequences and Series

    Geometric Sequences and Series

    Other Sequences and Fractals

    Advance Language of Sequences and Series

    3.11 Rational and Radical Expressions and Functions Radical Expressions and Rational Exponents

    Graphing Simple Rational Functions

    Operations with Rational Functions

    Graphing Complex Rational Functions

    3.12 Matrices Linear Systems in 3-Dimensions

    Intro to Vectors and Matrices

    Solving Linear Systems using Matrices

    Solving 3-D Systems using Matrices and Graphic Calculators

    3.13 Graphing Conic Sections Circles and Ellipses in the Coordinate Plane

    Conic Sections

    Hyperbolas and Parabolas

    3.14 Trigonometric Identities Law of Sines and Cosines

    Trigonometric Identities

    Inverse Trigonometric Functions

    3.15 Unit Circle Trigonometry Radians

    Unit Circle

    3.16 Graphs of Trigonometric Functions Graphs of Sine and Cosine

    Graphs of Other Trigonometric Functions

    Enriched Mathematics IV4.1 Functions

    Operations with Functions

    Inverse Functions

    Types of Functions and Transformations

    Piece-wise and Radical Functions

    4.2 Exponential and Logarithmic Functions Exponential Functions

    Logarithmic Functions

    Modeling of Data with Functions

    4.3 Models of Real-world Situations Using Families of Functions Modeling Real World Data

    Solving Nonlinear Systems

    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20Graphs%20of%20Sine%20and%20Cosine.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Unit%20Circle.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Radians.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Inverse%20Trigonometric%20Functions.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Trigonometric%20Identities.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Law%20of%20Sines%20and%20Cosines.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Hyperbolas%20and%20Parabolas.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Conic%20Sections.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Circles%20and%20Ellipses%20in%20the%20Coordinate%20Plane.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Solving%203-D%20Systems%20using%20Matrices%20and%20Graphic%20Calculators.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Solving%20Linear%20Systems%20using%20Matrices.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Intro%20to%20Vectors%20and%20Matrices.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Linear%20Systems%20in%203-Dimensions.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Graphing%20Complex%20Rational%20Functions.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Operations%20with%20Rational%20Functions.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Graphing%20Simple%20Rational%20Functions.dochttp://integrated%20math%20iii/3-11%20to%203-16/KeyPoints%20and%20Inquires%20for%20Radical%20Expressions%20and%20Rational%20Exponents.dochttp://integrated%20math%20iii/3-6%20to%203-10/KeyPoints%20and%20Inquires%20for%20Advance%20Language%20of%20Sequences%20and%20Series.dochttp://integrated%20math%20iii/3-6%20to%203-10/KeyPoints%20and%20Inquires%20for%20Other%20Sequences%20and%20Fractals.dochttp://integrated%20math%20iii/3-6%20to%203-10/KeyPoints%20and%20Inquires%20for%20Geometric%20Sequences%20and%20Series.dochttp://integrated%20math%20iii/3-6%20to%203-10/KeyPoints%20and%20Inquires%20for%20Arithmetic%20Sequences%20and%20Series.doc
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    4.4 Language and Laws of Logic Language of Logic

    Applying Logic to Proofs

    4.5 Proof Formal Proofs

    4.6 The Normal Distribution

    Normal Distribution Using Normal Distributions

    4.7 Correlation & Regression Analyzing and Using Data

    Using Data

    Modeling of Data with Functions

    4.8 Data Collection and Analysis Advance Data Collection and Analysis

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