Geometry

Concepts and Skills

 

Chapter                                                                                Learning Standards

Chapter 1 – Basics of Geometry                                  (10.G.1)(10.G.7)

1.      Finding and Describing Patterns

2.     Inductive Reasoning

3.     Points, Lines, and Planes

4.     Sketching Intersections

5.     Segments and Their Measures

6.     Angles and Their Measures

Chapter 2 – Segments and Angles                              (10.G.1)(10.G.2)

1.      Segment Bisectors

2.     Angles Bisectors

3.     Complementary and Supplementary Angles

4.     Vertical Angles

5.     If-Then Statements and Deductive Reasoning

6.     Properties of Equality and Congruence

Chapter 3 – Parallel and Perpendicular Lines                     (10.G.1)(10.G.3)

1.      Relationships Between Lines

2.     Theorems About Perpendicular Lines

3.     Angles Formed by Transversals

4.     Parallel Lines and Transversals

5.     Showing Lines are Parallel

6.     Using Perpendicular and Parallel Lines

7.     Translations

 

Chapter 4 – Triangle Relationships                            (10.G.5)(10.G.6)

1.      Classifying Triangles

2.     Angle Measures of Triangles

3.     Isosceles and Equilateral Triangles

4.     The Pythagorean Theorem and the Distance Formula

5.     The Converse of the Pythagorean Theorem

6.     Medians of a Triangle

7.     Triangle Inequalities

Chapter 5 – Congruent Triangles                                 (10.G.2)(10.G.4)

1.      Congruence and Triangles

2.     Proving Triangles are Congruent:  SSS and SAS

3.     Proving Triangles are Congruent: ASA and AAS

4.     Hypotenuse-Leg Congruence Theorem:  HL

5.     Using Congruent Triangles

6.     Angle Bisectors and Perpendicular Bisectors

7.     Reflections and Symmetry

Chapter 6 – Quadrilaterals                                            (10.G.1)(10.G.11)

1.      Polygons

2.     Properties of Parallelograms

3.     Showing Quadrilaterals are Parallelograms

4.     Rhombuses, Rectangles, and Squares

5.     Trapezoids

6.     Reasoning About Special Quadrilaterals

Chapter 7 - Similarity                                                      (10.G.2)(10.M.3)

1.      Ratio and Proportion

2.     Similar Polygons

3.     Showing Triangles are Similar: AA

4.     Showing Triangles are Similar : SSS and SAS

5.     Proportions and Similar Triangles

6.     Supplementary                                                                       (10.D.1)(10.D.2)(10.D.3)

1.      Plots and Diagrams

2.     Box and Whisker

3.     Scatterplots

4.     Stem and Leaf

5.     Probability

Chapter 8 – Polygons and Area                                                (10.G.1)(10.G.5)(10.N.2)

1.      Classifying Polygons                                             (10.N.3)(10.N.4)(10.M.1)

2.     Angles in Polygons

3.     Area of Squares and Rectangles

4.     Area of Triangles

5.     Area of Parallelograms

6.     Area of Trapezoids

7.     Circumference and Area of Circles

Chapter 9 – Surface Area and Volume                       (10.G.4)(10.G.10)(10.M.2)

1.      Solid Figures                                                           (10.M.3)(10.N.2)(10.N.3)

2.     Surface Area of Prisms and Cylinders              (10.N.4)

3.     Surface Area of Pyramids and cones

4.     Volume of Prisms and Cylinders

5.     Volume of Pyramids and Cones

6.     Surface Area and Volume of Spheres

Supplementary Unit                                                        (10.G.8)(10.G.11)(10.P.2)

1.      Slope                                                                         (10.P.7)(10.P.8)(10.N.2)

2.     Equations of Line                                                    (10.N.3)

3.     Slope of Parallel and Perpendicular Lines

 

 

 

Chapter 10 – Right Triangles and Trigonometry    (10.G.5)(10.G.6)(10.P.8)

1.      Simplifying Square Roots                                    (10.N.2)

2.     45-45-90 Triangles

3.     30-60-90 Triangles

4.     Tangent Ratio

5.     Sine and cosine ratios

6.     Solving Right Triangles

Chapter 11 – Circles                                                         (10.M.1)(10.G.3)

1.      Parts of a Circle

2.     Properties of Tangents

3.     Arcs and Central Angles

4.     Arcs and Chords

5.     Inscribed Angles and Polygons

6.     Properties of Chords

7.     Equations of Circles

8.     Rotations