Carnegie Learning Middle School Materials West Virginia Standards: Integrated Math III

Transcription

1 West Virginia Standards: Math Summarize, represent, and interpret data on single count or measurement variable M.3HS.1 1: Interpret Data in Normal Distributions 1.1 Recharge It 1.2 #I'mOnline 1.3 Below the Line, Above the Line, and Between the Lines Understand and evaluate random processes underlying statistical experiments M.3HS.2 M.3HS.3 2: Making Inferences and Justifying Conclusions 2: Making Inferences and Justifying Conclusions 2.1 For Real? 2.2 Circle Up 2.3 Sleep Tight 2.4 How Much Different 2.5 DIY 2.4 How Much Different 2.5 DIY Make Inferences and justify conclusions from sample surveys, experiments, and observational studies M.3HS.4 M.3HS.5 2: Making Inferences and Justifying Conclusions 2: Making Inferences and Justifying Conclusions 2.1 For Real? 2.2 Circle Up 2.4 How Much Different 4.5 DIY 2.3 Sleep Tight 2.4 How Much Different 2.5 DIY 1

2 West Virginia Standards: Math M.3HS.6 2: Making Inferences and Justifying Conclusions 2.4 How Much Different 2.5 DIY M.3HS.7 2: Making Inferences and Justifying Conclusions 2.3 Sleep Tight 2.4 How Much Different 2.5 DIY Use probability to evaluate outcomes of decisions M.3HS.8 M.3HS.9 1: Interpret Data in Normal Distributions 11: Interpret Data in Normal Distributions 1.4 You Make the Call 1.4 You Make the Call Use Complex numbers in polynomial identities and equations M.3HS.10 4: Quadratic 4.6 Now It's Getting Complex But It's Really Not Difficult 4.7 You Can't Spell "Fundamental Theorem of Algebra" without F- U-N! 2

3 West Virginia Standards: Math 6.4 Break It Down M.3HS.11 4: Quadratic 4.7 You Can't Spell "Fundamental Theorem of Algebra" without F- U-N! M.3HS.12 1: Function Overview 1: Searching for 1: Exploring and Analyzing 2: Comparing Familiar Function Representations 2: Quadratic 1: Forms of Quadratic 1: Examining the Shape and Structure of Quadratic Interpret the structure of expressions M.3HS.12. a 3.1. They're Grrrowing! 3.2 Are They Saying the Same Thing? 3.3 Are All Created Equal? 4: Quadratic 4.1 Shape and Structure 5: Polynomial 5.1 Planting the Seeds 3

4 West Virginia Standards: Math 6.1 Don't Take This Out of Context 6.2 The Great Polynomial Divide 8: Sequences and Series 8.2 This is Series(ours) Business 8.3 I Am Having a Series Craving (For Some Math) M.3HS.12. b 3.1. They're Grrrowing! 3.2 Are They Saying the Same Thing? 3.3 Are All Created Equal? 3.4 Water Under the Bridge 3.5 I've Created a Monster 1: Function Overview 2: Graphs of 2: Transforming 5: Polynomial 5.1 Planting the Seeds M.3HS They're Grrrowing! 3.2 Are They Saying the Same Thing? 3.4 Water Under the Bridge 2: Quadratic 1: Forms of Quadratic 1: Examining the Shape and Structure of Quadratic 4: Quadratic 4.1 Shape and Structure 3: Solving Polynomials 1: Factoring Higher Order Polynomials 4

5 West Virginia Standards: Math 6.4 Break It Down 9: Rational 9.5 The Breaking Point 10: Solving Rational Expressions 10.1 There Must Be a Rational Explanation 10.2 Different Client, Same Deal 10.3 Things Are Not Always As They Appear Write expressions in equivalent forms to solve problems M.3HS.14 8: Sequences and Series 8.3 I Am Having A Series Craving (For Some Math) 8.4 These Series Just Go On And On And On. 8.5 The Power of Interest (It's a Curious Thing) 8.6 A Series of Fortunate Events 5: Sequences and Series 1: Finite Geometric Series 1: Introduction to Finite Geometric Series 2: Calculating the Sums of Finite Geometric Series Perform arithmetic operations on polynomials M.3HS.15 4: Quadratic 3.1 They're Grrrowing 3.2 Are They Saying the Same Thing? 4.1 Shape and Structure 2: Polynomial Operations 1: Adding Polynomials with Higher Orders 3: Multiplying Polynomials 5

6 West Virginia Standards: Math 5: Polynomial 5.1 Planting the Seeds 5.3 Function Makeover 5.6 Closing Time 6.2 The Great Polynomial Divide M.3HS The Factors of Life 6.5 Getting to the Root of It All 3: Solving Polynomials 2: Solving Polynomial Understand the relationship between zeros and factors of polynomials M.3HS.17 5: Polynomial 3.4 Water Under the Bridge 5.4 Polynomial DNA 5.5 That Graph Looks a Little Sketchy 1: Graphs of Polynomial 6: Identifying Zeros of Polynomials 7: Use Zeros to Sketch a Graph of Polynomials Use Polynomial identities to solve problems M.3HS Identity Theft 3: Solving Polynomials Identities 6

7 West Virginia Standards: Math M.3HS The Curious Case of Pascal's Triangle 9: Rational 9.4 There's a Hole In My Function, Dear Liza 2: Polynomial Operations 5: Synthetic Division Rewrite rational expressions M.3HS.20 10: Solving Rational Expressions 10.1 There Must Be a Rational Explanation 10.2 Different Client, Same Deal 6: Rational 2: Rational Expressions 1: Simplifying Rational Expressions 2: Multiplying and Dividing Rational Expressions 3: Adding and Subtracting Rational Expressions 4: Rational Models 1: Modeling Ratios as Rational Function M.3HS.21 9: Rational 9.4 There's a Hole In My Function, Dear Liza Understand solving equations as a process of reasoning and explain the reasoning M.3HS.22 9: Rational 10: Solving Rational Expressions 9.5 The Breaking Point 10.3 Things Are Not Always as They Appear 10.4 Get to Work, Mix it UP, Go the Distance, and 6: Rational 1: Rational 3: Rational 2: Modeling Ratios as Rational 1: Solving Rational that Result in Linear 2: Solving Rational that Result in Quadratic 3: Solving Rational with Extraneous Solutions 7

8 West Virginia Standards: Math Lower the Cost! 11: Radical 11.6 Look to the Horizon 3.4 Water Under the Bridge Represent and solve equations and inequalities graphically M.3HS.23 7: Polynomial 6.1 Don't Take This Out of Context 7.4 Modeling Gig 10: Solving Rational Expressions 10.3 Things Are Not Always as They Appear 3.5 I've Created a Monster, m(x) Analyze using different representation s M.3HS.24 5: Polynomial 14: Mathematical Modeling 5.2 Polynomial Power 5.4 Polynomial DNA 5.5 That Graph Looks a Little Sketchy 14.2 Paint By Numbers 8

9 West Virginia Standards: Math M.3HS.25 II 8: Trigonometry 8.6 Time to Derive Apply Trigonometry to general triangles M.3HS.26 II 8: Trigonometry 8.6 Time to Derive M.3HS.27 II 8: Trigonometry 8.6 Time to Derive Extend the domain of trigonometric functions using the unit circle M.3HS.28 M.3HS.29 integrated 15: Trigonometric 16: Trigonometric 15: Trigonometric 16: Trigonometric 15.2 Two Pi Radii 16.1 Chasing Theta 15.2 Two Pi Radii 16.1 Chasing Theta 10: Trigonometric 10: Trigonometric 1: Graphs of Trigonometric 1: Graphs of Trigonometric 1: Understanding the Unit Circle 1: Understanding the Unit Circle Model periodic phenomena with trigonometric functions M.3HS.30 15: Trigonometric 16: Trigonometric 15.3 Triangulation 15.4 Pump Up the Amplitude 15.5 Farmer's Tan 16.2 Rabbits and Seasonal Affective Disorder 16.3 Behind the Wheel 16.4 Springs 10: Trigonometric 1: Graphs of Trigonometric 2: Choosing Trigonometric to Model Periodic Phenomena 9

10 West Virginia Standards: Math Eternal 3.3 Are All Equal? 4: Solving Polynomials 4: Solving Polynomial Inequalities 4: Quadratic 4.5 What's the Point? 4: Rational Models 2: Using Rational Models Create that describe numbers or relationships M.3HS.31 7: Polynomial 8: Sequences and Series 9: Rational 10: Solving Rational Expressions 7.1 Unequal Equals 7.3 Connecting Pieces 8.2 This is Series(ours) Business 9.5 The Breaking Point 10.4 Get to Work, Mix It Up, Go the Distance, and Lower the Cost! 6: Rational 7: Work, Mixture, and Distance Problems 1: Modeling with Rational 2: Modeling and Solving with Rational M.3HS Are All Equal? 3.5 I've Created a Monster, m(x) 7: Polynomial 7.4 Modeling Gig M.3HS Don't Take This Out of Context 10

11 West Virginia Standards: Math 7: Polynomial 7.1 Unequal Equals 7.3 Connecting Pieces 7.4 Modeling Gig 12: Mathematical Modeling 14.3 Make the Most of It 14.6 Grab Bag M.3HS Are All Created Equal 4: Quadratic 4.1 Shape and Structure 4.5 What's the Point Interpret functions that arise in terms of context M.3HS.35 5: Polynomial 5.2 Polynomial Power 5.4 Polynomial DNA 6.1 Don't Take This Out Of Context 2: Graphs of Polynomial 3: Classifying Polynomial 4: Interpreting Key Features of Graphs in Terms of Quantities 5: Identifying Key Characteristics of Polynomial 11: Radical 11.1 With Great Power 11.2 The Root of the Matter 11.3 Making Waves 11

12 West Virginia Standards: Math 12: Graphs of Exponential and Logarithmic 14: Mathematical Modeling 12.1 Small Investment, Big Reward 12.2 We Have Lift Off 12.4 I Feel the Earth Move 14.3 Make the Most of It 14.4 A Graph is Worth a Thousand Words 3.5 I've Created a Monster, m(x) 5: Polynomial 5.4 Polynomial DNA 7: Polynomial 7.2 America's Next Top Polynomial M.3HS.36 9: Rational 111: Radical 9.5 The Breaking Point 11.1 With Great Power 11.2 The Root of the Matter 11.3 Making Waves 2: Graphs of Polynomial 1: Modeling Polynomials 12: Graphs of Exponential and Logarithmic 12.4 I Feel the Earth Move 12

13 West Virginia Standards: Math M.3HS Don't Take This Out of Context 2: Graphs of Polynomial 8: Calculating and Interpreting Average Rate of Change M.3HS.38 Analyze using different representation s M.3HS.38. a 7: Polynomial 11: Radical 7.3 Connecting Pieces 11.1 With Great Power 11.2 The Root of the Matter 11.3 Making Waves 4: Piecewise 1: Graphs of Piecewise 1: Introduction to Piecewise 2: Graphing Linear Piecewise 3: Using Linear Piecewise 4: Analyzing Step 14: Mathematical Modeling 14.2 Paint By Numbers 10: Inverse 1: Inverses of 1: Investigating Inverses of Power 4: Graphing Square Root 5: Graphing Cube Root M.3HS.38. b 12: Graphs of Exponential and Logarithmic 14: Mathematical Modeling 12.2 We Have Lift Off 12.4 I feel The Earth Move 14.2 Paint By Numbers 11: Exponential Models 1: Exponential and Logarithmic 1: Properties of Exponential Graphs 2: Introduction to Logarithmic 13

14 West Virginia Standards: Math 15: Trigonometric 15.1 A Sense of déjà vu 1.1 They're Grrrowing 1.2 Are They Saying the Same Thing? 4.4 Break It Down 4.5 Getting to the Root of It M.3HS.39 9: Rational 9.2 A Rational Shift in Behavior 9.3 A Rational Approach 9.4 There's a Hole in My Function Dear Liza 12: Graphs of Exponential and Logarithmic 12.1 Small Investment, Big Reward 4: Quadratic 4.1 Shape and Structure M.3HS.40 5: Polynomial 11: Radical 5.5 That Graph Looks a Little Sketchy 11.3 Making Waves 3: Solving Polynomials 5: Comparing Polynomial in Different Forms 12: Graphs of Exponential and Logarithmic 12.2 We Have Lift Off 14

15 West Virginia Standards: Math Build a function that models a relationship between two quantities M.3HS.41 5: Polynomial 3.1 They're Grrrowing 3.2 Are They Saying the Same Thing? 3.3 Are All Created Equal 5.5 That Graph Looks a Little Sketchy 7: Polynomial 7.2 America's Next Top Polynomial 4: Quadratic 4.2 Function Sense 4.3 ULP and Down 4.4 Side to Side 1: Function Overview 2: Graphs of 2: Transforming 5: Polynomial 5.3 Function Makeover Build new functions from existing functions M.3HS.42 9: Rational 11: Radical 9.2 A Rational Shift in Behavior 9.3 A Rational Approach 11.3 Making Waves 2: Quadratic 1: Forms of Quadratic 4: Quadratic Transformations 12: Graphs of Exponential and Logarithmic 12.3 I like to Move it 12.5 More Than Meets the Eye 15

16 West Virginia Standards: Math 14: Mathematical Modeling 14.6 Grab Bag M.3HS.43 11: Radical 12: Graphs of Exponential and Logarithmic 11.1 With Great Power 11.2 The Root of the Matter 11.3 Making Waves 12.4 I Feel the Earth Move Construct and compare linear, quadratic, and exponential models and solve problems M.3HS.44 13: Exponential and Logarithmic 13.3 What's Your Strategy 13.4 Logging On 13.5 So When Will I use This? 9: Exponential Models 2: Solve with Base 2, 10, or e 1: Solving Base 2 and Base 10 (No Type IN) 2: Solving Base 2 and Base 10 (Type in) 3: Solving Base e (No Type In) 4: Solving Base e (Type In) 5: Solving Any Base (No Type In) 6: Solving Any Base (Type In) visualize relationships between two dimensional and three dimensional objects M.3HS.45 II 11: Three- Dimensional Figures 11.1 Whirligigs For Sale 11.2 Cakes and Pancakes 11.3 Cavaleieri's Principles 11.4 Spin to Win 11.5 Sphere's a la Archimedes 3: Three-Dimensional Shapes 1: Three- Dimensional Shapes 1: Visualizing Cross-Sections of Three-Dimensional Shapes 2: creating three-dimensional shapes 16

17 West Virginia Standards: Math 11.7 Tree Rings 12: Geometry on the Coordinate Plane 12.2 Treasure Hunt 12.4 Did you Find a Parking Space Apply Geometric concepts in modeling situations M.3HS.46 I 14: Perimeter and Area of Geometric Figures on the Coordinate Plane 15: Connecting Algebra and Geometry with Polygons 14.1 Transforming to a New Level 14.2 Looking at Something Familiar in a New Way 14.3 Grasshoppers Everywhere 14.4 Leavin' on a Jet Plane 14.5 Composite Figures on the Coordinate Plane 5.1 Name that Triangle 5.2 Inside Out II 11: Three- Dimensional Figures 11.3 Cavaleirei's Principles 11.4 Spin to Win 11.6 Turn Up the 11.7 Tree Rings 11.8 Two Dimensions Meet 17

18 West Virginia Standards: Math Three Dimensions 3: Properties of Triangles 4: Similarity Through a Transformation 6: Using Congruence Theorems 8: Trigonometry 3.3 Stamps Around the World 3.4 More Stamps, Really? 4.1 Big and Small 4.4 Geometric Mean 4.6 Indirect Measurement 6.1 Time to Get Right 6.2 CPCTC 6.3 Congruence Theorems in Action 6.4 Making Some Assumptions 8.2 The Tangent Ratio 8.3 The Sine Ratio 8.4 The Cosine Ratio 8.5 We Compliment Each Other 8.6 Time to Derive! 18

19 West Virginia Standards: Math 7: Properties of Quadrilaterals 9: Circles 10: Arcs and Sectors of Circles 18: Circles and Parabolas 7.1 Squares and Rectangles 7.2 Parallelograms and Rhombi 7.3 Kites and Trapezoids 7.4 Interior Angles of a Polygon 7.5 Exterior and Interior Angle Measurement Interactions 7.7 Name That Quadrilateral 9.1 Riding a Ferris Wheel 9.2 Take the Wheels 9.3 Manhole Covers 9.4 Color Theory 9.5 Solar Eclipses 10.2 Gears 10.3 Playing Darts 10.4 Circle K Excellent 18.1 The Coordinate Plane 18.3 IS that Point on the Circle? 19

20 West Virginia Standards: Math M.3HS.47 M.3HS.48 I I II 14: Perimeter and Area of Geometric Figures on the Coordinate Plane 14: Perimeter and Area of Geometric Figures on the Coordinate Plane 1: Tools of Geometry 11: Three- Dimensional Figures 14.1 Transforming to a New Level 14.1 Transforming to a New Level 1.6 What's the Point 11.2 Cakes and Pancakes 11.6 Turn Up the 11.8 Two Dimensions Meet Three Dimensions 7: Properties of Quadrilaterals 10: Arcs and Sectors of Circles 7.7 Name That Quadrilateral 10.4 Circle K Excellent 20