Geometry Scope & Sequence

**Unit 1 Logic & Proofs**

1.1 Introduction to Logic & Proofs

1.2 Conditions & Sets

1.3 Conditional Statements

1.4 Equivalence Properties

1.5 Writing Proofs

**Unit 2 Distance & Lengths**

2.1 Introduction to Geometry

2.2 Segments, Rays & Length

2.3 Segment Addition Postulate

2.4 Overlapping Segments Theorem

2.5 Congruent Segments

**Unit 3 Angles, Lines & Transversal**

3.1 Angles & Measure

3.2 Angle Additional Postulate

3.3 Congruent Angles

3.4 Angle Pairs

3.5 Lines, Planes & Transversals

3.6 Transversals and Angle Pairs

3.7 Transversals & Parallel Lines

3.8 Perpendicular Lines

**Unit 4 Triangles**

4.1 Introduction to Triangles

4.2 Classifying Triangles by Side Length

4.3 Classifying Triangles by Angles

4.4 The Triangle Sum Theorem

4.5 The Exterior Angle Theorem

4.6 Ratio & Proportions

4.7 Similar Triangles

4.8 Using Similar Triangles to Solve Problems

4.9 Congruent Triangles Part I

4.10 Congruent Triangles Part II

4.11 Pythagorean Theorem

**Unit 5 Polygons**

5.1 Introduction to Polygons

5.2 Classification of Polygons

5.3 Quadrilaterals – Rectangles

5.4 Quadrilaterals – Parallelograms

5.5 Quadrilaterals – Trapezoids

5.6 Interior & Exterior Angles

5.7 Similar Polygons

**Unit 6 Circles**6.1 Introduction to Circles

6.2 Properties of Tangents I

6.3 Property of Tangents II

6.4 Property of Tangents III

6.5 Arcs & Central Angles

6.6 Arc Additional Postulate

**Unit 7 Perimeter**

7.1 Introduction to Perimeter

7.2 Perimeter of Triangles

7.3 Perimeter of Quadrilaterals

7.4 Perimeter of Polygons

7.5 Circumference of a Circle

7.6 Perimeter of Irregular Shapes

**Unit 8 Area**

8.1 Introduction to Area

8.2 Area of Squares & Rectangles

8.3 Area of Triangles

8.4 Area of Parallelograms

8.5 Area of Trapezoids

8.6 Area of a Circle

8.7 Area of a Sector

8.8 Area of Regular Polygons

8.9 Area of Irregular Polygons

**Unit 9 Geometry in the Coordinate Plane**9.1 Introduction to Geometry in the Coordinate Plane

9.2 Distance on the Coordinate Plane

9.3 Midpoint Formula

9.4 Length of Polygons in the Coordinate Plane

9.5 Perimeter in the Coordinate Plane

9.6 Area in the Coordinate Plane

9.7 Equation of a Circle

9.8 Calculating Slopes with Rise Over Run

9.9 Calculating Slope Using Dy/Dx

9.10 Slope Intercept Form of a Line

9.11 Parallel & Perpendicular Lines

9.12 Quadrilaterals

9.13 Parabolas in the Coordinate Plane

**Unit 10 Triangles Part II**

10.1 Triangles and Altitudes

10.2 Triangles & Medians

10.3 Triangles & Perpendicular Bisectors

10.4 Triangles & Angles Bisectors

10.5 Solving Systems of Equations by Substitution

10.6 Solving Systems of Equations by Elimination

10.7 Triangles & the Orthocentre

10.8 Triangles & the Centroid

10.9 Triangles & the Circumcentre

10.10 Incentre

**Unit 11 Trigonometry**

11.1 Primary Trigonometry Ratios

11.2 Finding an Unknown Angle

11.3 Special Triangles

11.4 Law of Sines

11.5 Law of Cosines

11.6 Trigonometry & Area

**Unit 12 Circles Part II**

12.1 Arcs & Chords Part I

12.2 Arcs & Chords Part II

12.3 Arcs & Chords Part III

12.4 Arcs & Chords Part IV

12.5 Inscribed Angles

12.6 Tangents, Secants and Angles Part I

12.7 Tangents, Secants and Angles Part II

12.8 Tangents, Secants and Angles Part III

12.9 Radian Measure

**Unit 13 Transformations**

13.1 Introduction to Transformations

13.2 Translations

13.3 Reflections

13.4 Rotations

13.5 Dilations

13.6 Multiple Transformations & Applications

**Unit 14 3D Geometry & Volume**

14.1 Introduction to 3D Geometry

14.2 Volume of Rectangular Prisms

14.3 Volume of Other Prisms

14.4 Volume of Pyramids

14.5 Volume of Cylinders

14.6 Volume of Cones

14.7 Volume of Spheres

14.8 Density

**Unit 15 3D Geometry & Surface Area**

15.1 Introduction to Surface Area

15.2 Surface Area of a Prism

15.3 Surface Area of Pyramids

15.4 Surface Area of Cylinders

15.5 Surface Area of Cones

15.6 Surface Area of Spheres

**Unit 16 Probability**

16.1 Introduction to Probability

16.2 Simple Probability

16.3 Fundamental Counting Principle

16.4 Independent Events

16.5 Dependent Events

16.6 Compound Probability

16.7 Permutations

16.8 Combinations

16.9 Experimental & Theoretical Probability

16.10 Set Theory & Venn Diagrams

16.11 Set Theory – Intersection and Union

16.12 Set Theory – Disjoint & Complement

16.13 Probability Applications

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