6-12 Math Course Sequence Effective

Transcription

1 6-12 Math Course Sequence Effective Regular Single Acceleration Double Acceleration Grade 6 Everyday Math Pre- Algebra Linear Algebra I Grade 7 Pre-Algebra Linear Algebra I Intermediate Algebra Honors Grade Linear Algebra I Intermediate Algebra Honors Geometry Honors Grade 9 Intermediate Algebra Geometry Honors Algebra II Advanced Function Honors Grade 10 Geometry Algebra II Advanced Function Honors Math Analysis H or AP Statistics Grade 11 Algebra II Advanced Math Analysis H or AP Statistics AP Statistics and/or AP Calculus Grade 12 Math Analysis or Statistics and Mathematical App AP Statistics and/or AP Calculus Calculus II (PSEO) ds 3/4/2013 Courses below red line will be awarded high school math credit.

2 Everyday Math Operations with Whole Numbers and Decimals Reading and Writing Large and Small Numbers Addition and Subtraction of Decimals Multiplying Powers of 10 Multiplication of Decimals Division on Whole Numbers and Decimals Scientific Notation for Large and Small Numbers Exponential Notation Variables, Formulas and Graphs Using Variables General Patterns (Two Variables) Rational Number Uses and Operations Equivalent Fractions Comparing Fractions Adding and Subtracting Fractions Adding and Subtracting Mixed Numbers with Like and Unlike Denominators Fraction Multiplication Multiplication of Mixed Numbers Fractions, Decimals, and Percents Percent of a Number Geometry: Congruence, Constructions, and Parallel Lines Measuring and Drawing Angles Using a Protractor to Make Circle Graphs Probability and Discrete Mathematics Probabilities when Outcomes are Equally Likely Generating Random Numbers Tree Diagrams Venn Diagrams Fair and Unfair Games Rates and Ratios Rates, Rate Tables and Unit Rates Solving Rate Problems with Proportions Solving Proportions by Cross Multiplication Using Nutrition Information More about Variables, Formulas, and Graphs Distributive Property Simplifying : Combining like Terms, Removing Parentheses Simplifying and Solving Computer Spreadsheets Area and Volume Formulas with Applications Formula The Pythagorean Theorem Algebraic Formulas Formulas, Tables and Graphs Variables and Formulas in Spreadsheets Reading and Drawing Graphs Coordinate Geometry Isometry Transformations Congruent Figures Compass-and Straightedge Constructions Parallel Lines and Angle Relationships Parallelograms Number Systems and Algebra Concepts Multiplication of Fractions and Mixed Numbers Division of Fractions and Mixed Numbers Review Adding and Subtracting Positive and Negative Numbers Multiplication and Division of Positive and Negative Numbers Properties of the Number System Order of Operations Solving Simple Pan-Balance Ratios Solve Percent Problems Similar Polygons

3 Pre-Algebra Chapter 1 Using a Problem Solving Method Numbers & Variables & Variables & Chapter 2 Integers & Absolute Value Adding Integers Subtracting Integers Multiplying Integers Dividing Integers The Coordinate System Chapter 3 : The Distributive Property Chapter 5 Writing Fractions as Decimals Rational Numbers Multiplying Rational Numbers Dividing Rational Numbers Adding & Subtracting Unlike Fractions Solving with Rational Numbers Chapter 6 Rates & Ratios Proportional & Non Proportional Relationships Using Proportions Scale Drawings & Models Fractions, Decimals, & Percents Graphing Solving by Adding or Subtracting Solving by Multiplying or Dividing Chapter 12 Histograms Selecting an Appropriate Display Simple Probability Chapter 9 Squares & Square Roots The Real Number System Similar Figures and Indirect Measurement Chapter 12 Scatterplots Stem & Leaf Plots Measures of Variation Box & Whisker Plots Chapter 7 and 10 Representing Linear Slope-Intercept Form Line & Angle Relationships Quadrilaterals Polygons Parallelograms,, & Trapezoids Simplifying Algebraic Solving by Adding & Subtracting Solving by Multiplying & Dividing Solving Two Step Writing Two Step Sequences & Using Formulas Chapter 4 Powers & Exponents Prime Factorization Using the Percent Proportion Finding Percents Mentally Interest Percent of Change Chapter7 Rate of Change Constant Rate of Change & Direct Variation Slope Solving with Variables on Each Side Chapter 10 and 11 Transformations on the Coordinate Plane Circles: Circumference & Area Volume: Prisms & Cylinders Surface Area: Prisms & Cylinders Greatest Common Factor Simplifying Algebraic Fractions Solving with Grouping Symbols

4 Linear Algebra I Unit 1: Foundations for Chapter 1: The Language and Tools of Algebra Variables and Order of Operations Open Sentences Identity and Equality Properties The Distributive Property Commutative and Associative Properties Logical Reasoning Number Sentences and Graphs Chapter 2: Solving Linear Writing Solving by Adding, Subtracting, Multiplying, and Dividing Unit 2: Linear Chapter 3: and Patterns Representing Relations Representing Linear Arithmetic Sequences Proportional and Nonproportional Relationships Chapter 4: Analyzing Linear Rate of Change and Slope Graphing in Slope- Intercept Form Writing in Slope- Intercept Form Writing in Point- Slope Form Scatter Plots and Lines of Fit Parallel and Perpendicular Lines Chapter 5: Solving Systems of Linear Graphing Systems of Substitution Elimination Using Addition and Subtraction Elimination Using Multiplication Applying Systems of Linear Chapter 6: Solving Linear Solving by Addition and Subtraction Solving by Multiplication and Division Solving Multi-Step Solving Compound Chapter 6: Solving Linear Solving Open Sentences Involving Absolute Value Solving Involving Absolute Value Graphing in Two Variables Graphing Systems on Chapter 10: Radical and The Pythagorean Theorem The Distance Formula Solving Multi-Step Solving with Variable on Each Side Ratios and Proportions Percent of Change Solving for a Specific Variable

5 Intermediate Algebra Chapter 1 Chapter 4 Chapter 6 Briefly review real numbers and algebraic expressions Chapter 2 Linear in One Variable Formulas and Problem Solving Linear and Problem Solving Compound Absolute Value Absolute Value Chapter 3 Graphing Solving Systems of in Two Variables Solving Systems of in Three Variables Systems of and Problem Solving Systems of Linear Linear Programming Chapter 5 Exponents and Scientific Notation Polynomials and Polynomial Multiplying Polynomials Rational Multiplying and Dividing Rational Adding and Subtracting Rational Simplifying Complex Fractions Dividing Polynomials using Long Division and Synthetic Division Solving Containing Rational Chapter 7 Radicals and Radical Solving Quadratic by Completing the Square Solving Quadratic by the Quadratic Formula Solving Using Quadratic Methods Nonlinear in One Variable Quadratic and Their Graphs Graphing Linear Slope of a Line of Lines Graphing Piecewise- Defined Shifting and Reflecting Graphs of Graphing Linear Greatest Common Factor and Factoring by Grouping Factoring Trinomials Factoring by Special Products Solving by Factoring and Problem Solving Rational Exponents Simplifying Radical Adding, Subtracting, and Multiplying Radical Rationalizing Denominators and Numerators of Radical Radical and Problem Solving

6 Geometry Chapter 1 Patterns and Inductive Reasoning Points, Lines, and Planes Segments and Their Measures Angles and Their Measures Segment and Angle Bisectors Angle Pair Relationships Perimeter, Circumference, and Area Chapter 2 Conditional Statements Definitions and Biconditional Statements Deductive Reasoning Reasoning with Properties from Algebra Proving Statements about Segments Proving Statements about Angles Chapter 3 Lines and Angles Proof and Perpendicular Lines Parallel Lines and Transversals Proving Lines are Parallel Using Properties of Parallel Lines Parallel Lines in the Coordinate Plane Perpendicular Lines in the Coordinate Plane Chapter 4 and Angles Congruence and Proving are Congruent: SSS and SAS Proving are Congruent: ASA and AAS Using Congruent Isosceles, Equilateral, and Right and Coordinate Proof Chapter 5 Perpendiculars and Bisectors Bisectors of a Triangle Medians and Altitudes of a Triangle Midsegment Theorem in One Triangle Indirect Proof and in Two Chapter 6 Polygons Properties of Parallelograms Proving Quadrilaterals are Parallelograms Rhombuses, Rectangles, and Squares Trapezoids and Kites Special Quadrilaterals Areas of and Quadrilaterals Chapter 7 Rigid Motion in a Plane Reflections Rotations Translations and Vectors Glide Reflections and Compositions Frieze Patterns Ratio and Proportion Problem Solving in Geometry with Proportions Similar Polygons Similar Proving are Similar Proportions and Similar Dilations Chapter 9 Similar Right The Pythagorean Theorem The Converse of the Pythagorean Theorem Special Right Trigonometric Ratios Solving Right Vectors Chapter 10 Tangents to Circles Arcs and Chords Inscribed Angles Other Angle Relationships in Circles Segment Lengths in Circles of Circles Locus Chapter 11 Angle Measures in Polygons Areas of Regular Polygons Perimeters and Areas of Similar Figures Circumference and Arc Length Areas of Circles and Sectors Geometric Probability Chapter 12 Exploring Solids Surface Area of Prisms and Cylinders Surface Area of Pyramids and Cones Volume of Prisms and Cylinders Volume of Pyramids and Cones Surface Area and Volume of Spheres Similar Solids

7 Algebra II Chapter 1 Apply Properties of Real Numbers Evaluate and Simplify Algebraic Solve Linear Rewrite Formulas and Solve Linear Solve Absolute Value and Chapter 2 Represent Relations and Find Slope and Rate of Change Graph of Lines Write of Lines Model Direct Variation Draw Scatter Plots and Best- Fitting Lines Use Absolute Value and Transformations Graph Linear in Two Variables Chapter 3 Solve Linear by Graphing Solve Linear Systems Algebraically Graph Systems of Linear Solve Systems of Linear in Three Variables Chapter 5 Use Properties of Exponents Evaluate and Graph Polynomial Add, Subtract, and Multiply Polynomials Factor and Solve Polynomial Apply the Remainder and Factor Theorems Find Rational Zeros Apply the Fundamental Theorem of Algebra Analyze Graphs of Polynomial Write Polynomial and Models Chapter 6 Evaluate nth Roots and Use Rational Exponents Apply Properties of Rational Exponents Perform Function Operations and Composition Use Inverse Graph Square Root and Cube Root Solve Radical Chapter 10 Apply the Counting Principle and Permutations Use Combinations and the Binomial Theorem Define and Use Probability Chapter 11 Find Measures of Central Tendency and Dispersion Apply Transformations to Data Use Normal Distributions Select and Draw Conclusions from Samples Choose the Best Model for Two-Variable Data Chapter 7 Graph Exponential Growth Graph Exponential Decay Use Involving e Evaluate Logarithms and Graph Logarithmic Apply Properties of Logarithms Solve Exponential and Logarithmic Write and Apply Exponential and Power Chapter 12 Define and Use Sequences and Series Analyze Arithmetic and Geometric Sequences and Series Find Sums of Infinite Geometric Series Use Recursive Rules with Sequences and Model Inverse and Joint Variation Graph Simple Rational Graph General Rational Multiply and Divide Rational Add and Subtract Rational Solve Rational Chapter 9 Apply the Distance and Midpoint Formulas Graph and Write of Parabolas, Circles, Ellipses, and Hyperbolas Translate and Classify Conic Sections Solve Quadratic Systems Chapter 13 Use Trigonometry with Right Define General Angles and Use Radian Measure Evaluate Trigonometric of Any Angle Evaluate Inverse Trigonometric Apply the Law of Sines Apply the Law of Cosines Chapter 14 Graph Sine, Cosine, and Trigonometric Perform Basic Matrix Operations Find Probabilities of Disjoint and Overlapping Events Translate and Reflect Trigonometric Graphs

8 Multiply Matrices Evaluate Determinants and Apply Cramer s Rule Use Inverse Matrices to Solve Linear Systems Chapter 4 Graph Quadratic in Standard Form Graph Quadratic in Vertex or Intercept Form Factor Trinomials Solve Quadratic by Finding Square Roots Perform Operations with Complex Numbers Complete the Square Use the Quadratic Formula and the Discriminant Graph and Solve Quadratic Write Quadratic and Models Find Probabilities of Independent and Dependent Events Construct and Interpret Binomial Distribution Verify Trigonometric Identities Solve Trigonometric Write Trigonometric and Models Apply Sum and Difference Formulas Apply Double-Angle and Half-Angle Formulas