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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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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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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.doc8/14/2019 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.doc8/14/2019 Table of Contents for CASMAN Math Curriculum
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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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