Carnegie Learning - High School Materials West Virginia ... · West Virginia Standards: Geometry 1...

Carnegie Learning® High School Materials West Virginia Standards: Geometry

1

West Virginia Standards Textbook MATHia

Standard Course Chapter Lesson Module Unit Workspace

Cluster: Experiment with Transformations in the Plane

M.GHS.1 Geometry

1: Tools of Geometry

1.1 let's Get This Started! 1.2 Let's Move 1.4 It's All About Angles 1.5 Did You Find a Parking Space


1: Lines, Rays, Segments and Angles

1: Naming Lines, Rays, Segments, and Angles 2: Working with Measures of Segments and Angles

11: Circles 11.1 Riding a Ferris Wheel 11.2 Take the Wheel

2: Segments, Angles, and Lines

1: Introduction to Proofs with Segments and Angles

1: Introduction to Proofs

M.GHS.2 Geometry

1: Tools of Geometry 1.2 Let's Move 1.4 It's All About Angles

7: Congruence Through Transformations

7.1 Slide, Flip, Turn: The Latest Dance Craze?

M.GHS.3 Geometry 7: Congruence Through Transformations


4: Congruence 1: Ridged Motion 1: Rotations and Reflections on the Plane

M.GHS.4 Geometry 1: Tools of Geometry 1.2 Let's Move 1.4 It's All About Angles 1.5 Did You Find a Parking Space

4: Congruence 1: Ridged Motion 2: Developing Definitions of Ridged Motion


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Cluster: Experiment with Transformations in the Plane

M.GHS.5 Geometry

1: Tools of Geometry 1.2 Let's Move 1.4 It's All About Angles

4: Congruence 1: Ridged Motion 4: Specify a Sequence of Transformations



West Virginia

Standards Textbook MATHia

Standard Course Chapter Lesson Module Unit Workspace Cluster: Understand congruence in terms of rigid motion

M.GHS.6 Geometry 1: Tools of Geometry 1.2 Let's Move 1.4 It's All About Angles

4: Congruence 1: Ridged Motion 4: Using Geometric Descriptions to Transform Figures


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3: Perimeter and Area of Geometric Figures on the Coordinate Plane

3.1 Transforming to a New Level 3.2 Looking at Something Familiar in a New Way 3.4 Leavin' on a Jet Plane


7.2 All The Same to You 7.3 Side-Side-Side 7.4 Side-Angle-Side 7.5 You Shouldn't Make Assumptions 7.6 Ahhhh… We're Sorry We Didn't Include You 7.7 Congruent Triangles in Action

8: Using Congruence Theorems

8.1 Time to Get Right

M.GHS.7 Geometry 7: Congruence Through Transformations


4: Congruence 2: Triangle Congruence 1: Introduction to Triangle Congruence


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M.GHS.8 Geometry



4: Congruence 2: Triangle Congruence 1: Introduction to Triangle Congruence



West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Prove geometric theorems

M.GHS.9 Geometry 2: Introduction to Proof

2.1 A little Dash of Logic 2.2 And Now From a New Angle 2.3 Forms of Proof 2.4 What's Your Proof 2.5 A Reversed Condition


4: Angle Properties

1: Calculating and Justifying Angle Measures 2: Calculating Angle Measures


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7.7 Congruent Triangles in Action

2: Segments, Angles, and Lines

1: Introduction to Proofs with Segments and Angles

2: Completing Measure Proofs 3: Connecting Steps in Angle Proofs 4: Using Angle Theorems

10: Properties of Quadrilaterals

10.4 Properties of a Polygon 10.5 Exterior and Interior Angle Measurement Interactions

2: Lines Cut by a Transversal

:

M.GHS.10 Geometry

5: Properties of Triangles

5.2 Inside Out 5.3 Trade Routes and Pasta Anyone? 5.4 Stamps Around the World 5.5 More Stamps, Really?

4: Congruence

2: Triangle Congruence

2: Proving Triangles Congruent using SAS and SSS 3: Proving Triangles Congruent using AAS and ASA 4: Proving Triangles Congruent using HL and HA 5: Using Triangle Congruence 6: Proving Theorems Using Congruent Triangles


7.3 Side-Side-Side 7.4 Side-Angle-Side 7.5 You Shouldn't Make Assumptions 7.6 Ahhh… We're Sorry We Didn't Include You

3: Triangle Theorems

1: Proving Triangle Theorems 2: Using Triangle Theorems


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8.1 Time to Get Right 8.2 CPCTC 8.3 Congruence Theorems in Action 8.4 Making Some Assumptions

M.GHS.11 Geometry 10: Properties of Quadrilaterals

10.1 Squares and Rectangles 10.2 Parallelograms and Rhombi 10.3 Kites and Trapezoids

6: Parallelograms

1: Properties of Parallelograms

1: Understanding Parallelograms 2: Determining Parts of Quadrilaterals and Parallelograms with Numbers 3: Determining Parts of Quadrilaterals and Parallelograms with Expressions

2: Parallelogram Proofs 1: Proofs About Parallelograms


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Standard Course Chapter Lesson Module Unit Workspace Cluster: Make geometric construction

M.GHS.12 Geometry


1.2 Let's Move! 1.3 treasure Hunt 1.4 It's All About Angles 1.6 Making Copies --- Just as Perfect as the Original! 1.7 What's the Point?


7.3 Side-Side-Side 7.4 Side-Angle-Side 7.5 You Shouldn't Make Assumptions 7.6 Ahhh… We're Sorry We Didn't Include You 7.7 Congruent Triangles in Action




10.1 Squares and Rectangles 10.2 Parallelograms and Rhombi 10.3 Kites and Trapezoids 10.5 Exterior and Interior Angle Measurement Interactions 10.6 Quadrilateral Family


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Standard Course Chapter Lesson Module Unit Workspace Cluster: Make geometric construction

M.GHS.13 Geometry 1: Tools of Geometry 1.2 Let's Move


Standard Course Chapter Lesson Module Unit Workspace Cluster: Understand similarity in terms of similarity transformations

M.GHS.14

M.GHS.14.a Geometry 6: Similarity Through a Transformation

6.1 Big and Small

M.GHS.14.b Geometry 6: Similarity Through a Transformation

6.1 Big and Small

M.GHS.15 Geometry 6: Similarity Through a Transformation

6.1 Big and Small

5: Similarity, Right Triangles, and Trigonometry

1: Similar Triangles 1: Understanding Similarity


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Standard Course Chapter Lesson Module Unit Workspace Cluster: Understand similarity in terms of similarity transformations


6.2 Similar Triangles or Not?

9: Trigonometry

9.1 Three Angles Measure 9.2 The Tangent Ratio

West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Prove theorems involving similarity


6.3 Keep It In Proportion 6.4 Geometric Mean 6.5 Proving the Pythagorean Theorem


1: Similar Triangles 3: Proofs Using Similar Triangles

2: Special Right Triangles


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Standard Course Chapter Lesson Module Unit Workspace Cluster: Prove theorems involving similarity

M.GHS.18 Geometry

6: Similarity Through a Transformation

6.1 Big and Small 6.2 Similar Triangles or Not? 6.3 Keep It In Proportion 6.4 Geometric Mean 6.6 Indirect Measurement


1: Similar Triangles 2: Calculating Corresponding Parts of Similar Triangles

9: Trigonometry 9.1 Three Angles Measure 9.2 The Tangent Ratio

2: Special Right Triangles

West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Define trigonometric ratios and solve problems involving right triangles

M.GHS.19 Geometry 9: Trigonometry 9.1 Three Angles Measure 9.2 The Tangent Ratio


3: Trigonometric Ratios 1: Introduction to Trigonometric Ratios

M.GHS.20 Geometry 9: Trigonometry 9.5 We Compliment Each Other!


3: Trigonometric Ratios


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Standard Course Chapter Lesson Module Unit Workspace Cluster: Define trigonometric ratios and solve problems involving right triangles

M.GHS.21 Geometry

9: Trigonometry

9.3 The Sine Ratio 9.4 The Cosine Ratio 9.5 We Compliment Each Other


4: Right Triangles and Trigonometric Ratio

1: Determining Side Lengths Using One Trigonometric Ratio 2: Determining Side Lengths Using Multiple Trigonometric Ratios


10.1 Squares and Rectangles 10.3 Kites and Trapezoids 10.4 Interior Angles of a Polygon 10.5 Exterior and Interior Angle Measurements

13: Circles and Parabolas

13.2 Bring on the Algebra 13.3 Is that Point on the Circle?

West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Apply trigonometry to general triangles

M.GHS.22 Geometry 9: Trigonometry 9.6 Time to Derive


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Standard Course Chapter Lesson Module Unit Workspace Cluster: Explain volume formulas and use them to solve problems

M.GHS.25 Geometry 4: Three-Dimensional Figures

4.3 Cavaleirei's Principles

3: Three-Dimensional Shapes

2: Volume 1: Developing Volume Formulas


4.6 Turn up the … 3: Three-Dimensional Shapes

2: Volume

2: Calculating Volume of Cylinders 3: Calculating Volume of Pyramids 4: Calculating Volume of Cones 5: Calculating Volume of Spheres


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Standard Course Chapter Lesson Module Unit Workspace Cluster: visualize the relation between two dimensions and three-dimensional objects


4.1 Whirlygigs For Sale 4.2 Cakes and Pancakes 4.3 Cavaleieri's Principles 4.4 Spin to Win 4.5 Sphere's a la Archimedes 4.7 Tree Rings



1: Visualizing Cross-Sections of Three-Dimensional Shapes 2: Rotating Two-Dimensional Shapes About a Line

West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Apply geometric concepts in modeling situations

M.GHS.28 Geometry


3.1 Transforming to a New Level 3.2 Looking at Something Familiar in a New Way 3.3 Grasshoppers Everywhere 3.4 Leavin' on a Jet Plane 3.5 Composite Figures on the Coordinate Plane


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4: Three-Dimensional Figures

4.3 Cavaleirei's Principles 4.4 Spin to Win 4.6 Turn Up the … 4.7 Tree Rings 4.8 Two Dimensions Meet Three Dimensions

9: Trigonometry

9.2 The Tangent Ratio 9.3 The Sine Ratio 9.4 The Cosine Ratio 9.5 We Compliment Each Other 9.6 Time to Derive!

West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Use coordinates to prove simple geometric theorems algebraically

M.GHS.29 Geometry

1: Tools of Geometry 1.5 Did You Find a Parking Space?

3: Perimeter and Area of

Geometric Figures on the Coordinate Plane

3.1 Transforming to a New Level

10: Properties of

Quadrilaterals 10.7 Name That Quadrilateral


13.1 The Coordinate Plane 13.3 IS that Point on the Circle?


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M.GHS.30 Geometry



3: Parallel and Perpendicular Lines

1: Introduction to Parallel and Perpendicular Lines 2: Modeling Parallel and Perpendicular Lines


3.1 Transforming to a New Level 3.2 Looking at Something Familiar in a New Way 3.3 Grasshoppers Everywhere

5: Properties of Triangles 5.1 Name that Triangle


10.1 Squares and Rectangles 10.3 Kites and Trapezoids 10.7 Name That Quadrilateral

13: Circles and Parabolas 13.1 The Coordinate Plane

M.GHS.31 Geometry 1: Tools of Geometry 1.3 Treasure Hunt 1: Tools of Geometry

2: Distances on the Coordinate Plane

3: Partitioning Segments Proportionately


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M.GHS.32 Geometry 3: Perimeter and Area of Geometric Figures on the Coordinate Plane

3.1 Transforming to a New Level 3.2 Looking at Something Familiar in a New Way 3.3 Grasshoppers Everywhere 3.4 Leavin' on a Jet Plane 3.5 Composite Figures on the Coordinate Plane


2: Distances on the Coordinate Plane

1: Deriving the Distance Formula 2: Calculating Distances using the Distance Formula 4: Calculating Perimeter and Area using the Distance Formula

West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Translate between the geometric description and the equation for a conic section

M.GHS.33 Geometry 13: Circles and Parabolas 13.4 The Parabola 13.5 Simply Parabolic

8: Conics 2: Equation of a Parabola 1: Deriving the Equation of a Parabola


West Virginia Standards Textbook MATHia West Virginia Standards

Standard Course Chapter Standard Course Chapter Standard Cluster: Understand and apply theorems about circles

M.GHS.34 Geometry 11: Circles 11.1 Riding a Ferris Wheel

7: Circles 1: Properties of Circles 1: Introduction to Circles


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West Virginia Standards Textbook MATHia West Virginia Standards

Standard Course Chapter Standard Course Chapter Standard Cluster: Understand and apply theorems about circles

M.GHS.35 Geometry 11: Circles

11.1 Riding a Ferris Wheel 11.2 Take the Wheel 11.3 Manhole Covers 11.4 Color Theory

7: Circles 2: Angles in Circles

1: Determining Central and Inscribed Angles in a Circle 2: Determining Chords in a Circle 3: Determining Interior and Exterior Angles in Circles

M.GHS.36 Geometry 12: Arcs and Sectors of Circles

12.1 Replacement for a Carpenter's Square

7: Circles 2: Angles in Circles 4: Angles of an Inscribed Quadrilateral

M.GHS.37 Geometry 11: Circles 11.5 Solar Eclipses


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Standard Course Chapter Lesson Module Unit Workspace Cluster: Find arc length and areas of sectors of circles

M.GHS.38 Geometry 12: Arcs and Sectors of Circles

12.2 Gears 12.3 Playing Darts

7: Circles 3: Arc Length

1: Relating Arc Length and Radius 2: Calculating Area of a Sector

West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Translate between the geometric description and the equation for a conic section

M.GHS.39 Geometry 13: Circles and Parabolas 13.2 Bring on the Algebra

8: Conics 1: Equation of a Circle

1: Deriving the Equation of a Circle 2: Determining the Radius and Center of a Circle


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M.GHS.40 Geometry





10: Properties of

Quadrilaterals 10.7 Name That Quadrilateral



West Virginia



M.GHS.41 Geometry

11: Circles

11.1 Riding a Ferris Wheel 11.2 Take the Wheel 11.3 Manhole Covers 11.4 Color Theory 11.5 Solar Eclipses

12: Arcs and Sectors of Circles

12.2 Gears 12.3 Playing Darts 12.4 Circle K Excellent


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West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: understand independence and conditional probability and use them to interpret data

M.GHS.42 Geometry 14: Probability 14.1 These are a Few of My Favorite Things 14.2 It's in the Cards

9: Probability 1: Sample Spaces

1: Analyzing Sample Spaces Using Visual Representations 2: Analyzing Sample Spaces 3: Calculating the Sample Space for Independent and Dependent Events

M.GHS.43 Geometry 14: Probability 14.3 And? 14.5 And, OR, and More!

9: Probability 2: Independence and Conditional Probability

1: Independent Events

M.GHS.44 Geometry 15: More Probability and Counting

15.2 It all Depends 9: Probability 2: Independence and Conditional Probability

2: Conditional Probability


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Standard Course Chapter Lesson Module Unit Workspace Cluster: understand independence and conditional probability and use them to interpret data


15.1 Left, Left, Left, Right, Left

9: Probability 2: Independence and Conditional Probability

3: Understanding Frequency Tables 4: Constructing and Interpreting Frequency Tables



5: Recognizing Concepts of Conditional Probability

West Virginia


Standard Course Chapter Lesson Module Unit Workspace Cluster: Use the rules of probability to compute probabilities of compound events in a uniform probability model



6: Calculating Compound Probabilities


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Standard Course Chapter Lesson Module Unit Workspace Cluster: Use the rules of probability to compute probabilities of compound events in a uniform probability model

M.GHS.48 Geometry 14: Probability 14.4 Or? 9: Probability 2: Independence and Conditional Probability

6: Calculating Compound Probabilities

M.GHS.49 Geometry 14: Probability 14.3 And? 14.5 And, OR, and More!


15.3 Counting 15.4 Trials


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Cluster: Use probability to evaluate outcomes of decisions


15.5 To Spin or Not to Spin


15.5 To Spin or Not to Spin


Standard Course Chapter Lesson Module Unit Workspace Cluster: Visualize the relation between two dimensions and three-dimensional objects

M.GHS.53 Geometry

1: Tools of Geometry 1.3 Treasure Hunt 1.5 Did you Find a Parking Space


3.1 Transforming to a New Level 3.2 Looking at Something Familiar in a New Way 3.3 Grasshoppers Everywhere 3.4 Leavin' on a Jet Plane 3.5 Composite Figures on the


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Coordinate Plane


4.3 Cavaleirei's Principles 4.4 Spin to Win 4.6 Turn Up the … 4.7 Tree Rings 4.8 Two Dimensions Meet Three Dimensions

5: Properties of Triangles

5.1 Name that Triangle 5.2 Inside Out 5.4 Stamps Around the World 5.5 More Stamps, Really?

6: Similarity Through a Transformation

6.1 Big and Small 6.4 Geometric Mean 6.6 Indirect Measurement


8.1 Time to Get Right 8.2 CPCTC 8.3 Congruence Theorems in Action 8.4 Making Some Assumptions

9: Trigonometry

9.2 The Tangent Ratio 9.3 The Sine Ratio 9.4 The Cosine Ratio 9.5 We Compliment Each Other 9.6 Time to Derive!


25




10.1 Squares and Rectangles 10.2 Parallelograms and Rhombi 10.3 Kites and Trapezoids 10.4 Interior Angles of a Polygon 10.5 Exterior and Interior Angle Measurement Interactions 10.7 Name That Quadrilateral

11: Circles

11.1 Riding a Ferris Wheel 11.2 Take the Wheel 11.3 Manhole Covers 11.4 Color Theory 11.5 Solar Eclipses


12.2 Gears 12.3 Playing Darts 12.4 Circle K Excellent



M.GHS.54 Geometry 3: Perimeter and Area of Geometric Figures on the Coordinate Plane



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M.GHS.55 Geometry

1: Tools of Geometry 1.7 What's the Point





4.2 Cakes and Pancakes 4.6 Turn Up the … 4.8 Two Dimensions Meet Three Dimensions


10.7 Name That Quadrilateral


12.4 Circle K Excellent

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Carnegie Learning - High School Materials West Virginia ... · West Virginia Standards: Geometry 1...

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