Geometry

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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