# UnLock Math Curriculum

"My son was really able to grasp Geometry concepts in a way my daughter never did in a regular teacher taught class." – Kristie H.

## Geometry

UnLock Geometry requires Algebra I as a prerequisite and begins with a Unit reviewing prerequisite concepts to help fill any gaps that may exist. This course is best taken in between Algebra I and Algebra II. By completing Geometry, students become better prepared for Algebra II, improving their problem-solving skills, abstract and critical thinking, spatial awareness, and logical reasoning. The UnLock Geometry online math program has been voted #1 by homeschool families 5 years in a row! The reason? Results. Student achievement, confidence, and skill. Often, a 180 degree change in their attitude towards math. Using a platform that is easily navigated, providing virtual manipulatives that deepen student understanding, and gives students access to live math help & tutoring with expert math teachers, automated grading, and much, much more. This is the online Geometry curriculum that checks ALL your dream curriculum boxes!

Unit 1

### Pre-requisite Skills

- 1.1 Operations with Integers
- 1.2 Length Conversions in the Imperial System
- 1.3 Mass Conversion in the Imperial System
- 1.4 Capacity Conversions in the Imperial System
- 1.5 Length, Mass and Capacity Conversions in the Metric System
- 1.6 Estimation
- 1.7 Solving Multi-Step Equations and Using the Distributive Property
- 1.8 The Coordinate Plane

Unit 2

### Logic & Proofs

- 2.1 Introduction to Logic and Proofs
- 2.2 Conditions and Sets
- 2.3 Conditional Statements
- 2.4 Equivalence Properties
- 2.5 Writing Proofs

Unit 3

### Distance & Length

- 3.1 Introduction to Geometry
- 3.2 Segments, Rays and Length
- 3.3 Segment Addition Postulate
- 3.4 Overlapping Segments Theorem
- 3.5 Congruent Segments

Unit 4

### Angles, Lines & Transversals

- 4.1 Angles and Measure
- 4.2 Angle Additional Postulate
- 4.3 Congruent Angles
- 4.4 Angle Pairs
- 4.5 Lines, Planes, and Transversals
- 4.6 Transversals and Angle Pairs
- 4.7 Transversals and Parallel Lines
- 4.8 Perpendicular Lines

Unit 5

### Triangles

- 5.1 Introduction to Triangles
- 5.2 Classifying Triangles by Side Length
- 5.3 Classifying Triangles by Angles
- 5.4 Triangle Sum Theorem
- 5.5 The Exterior Angle Theorem
- 5.6 Ratio & Proportion
- 5.7 Similar Triangles
- 5.8 Using Similar Triangles to Solve Problems
- 5.9 Congruent Triangles
- 5.10 Congruent Triangles Part II
- 5.11 The Pythagorean Theorem

Unit 6

### Polygons

- 6.1 Introduction to Polygons
- 6.2 Classification of Polygons
- 6.3 Quadrilaterals - Rectangles
- 6.4 Quadrilaterals - Parallelograms
- 6.5 Quadrilaterals - Trapezoids
- 6.6 Interior & Exterior Angles of Polygons
- 6.7 Similar Polygons

Unit 7

### Circles

- 7.1 Introduction to Circles
- 7.2 Properties of Tangents Part I
- 7.3 Properties of Tangents Part II
- 7.4 Properties of Tangents Part III
- 7.5 Arcs and Central Angles
- 7.6 Arc Additional Postulate and Arc Length

Unit 8

### Perimeter

- 8.1 Introduction to Perimeter
- 8.2 Perimeter of Triangles
- 8.3 Perimeter of Quadrilaterals
- 8.4 Perimeter of Polygons
- 8.5 Circumference of a Circle
- 8.6 Perimeter of Irregular Shapes

Unit 9

### Area

- 9.1 Introduction to Area
- 9.2 Area of Squares and Rectangles
- 9.3 Area of Triangles
- 9.4 Area of Parallelograms
- 9.5 Area of Trapezoids
- 9.6 Area of a Circle
- 9.7 Area of a Sector
- 9.8 Area of Regular Polygons
- 9.9 Area of Irregular Shapes

Unit 10

### Geometry in the Coordinate Plane

- 10.1 Introduction to Geometry in the Coordinate Plane
- 10.2 Distance on a Coordinate Plane
- 10.3 Midpoint Formula
- 10.4 Length of Polygons in the Coordinate Plane
- 10.5 Perimeter in the Coordinate Plane
- 10.6 Area in the Coordinate Plane
- 10.7 Equation of a Circle
- 10.8 Calculating Slop Using Rise Over Run
- 10.9 Calculate Slope Using DyDx and Intercepts
- 10.10 Slope & Intercept Form of a Line
- 10.11 Parallel & Perpendicular Lines in the Coordinate Plane
- 10.12 Quadrilaterals in the Coordinate Plane

Unit 11

### Triangles

- 11.1 Triangles and Altitudes
- 11.2 Triangles and Medians
- 11.3 Triangles and the Perpendicular Bisectors
- 11.4 Triangles and Angle Bisectors
- 11.5 Solving Systems of Equations by Substitution
- 11.6 Solving Systems of Equations by Elimination
- 11.7 Triangles and the Orthocentre
- 11.8 Triangles and the Centroid
- 11.9 Triangles and the Circumcentre
- 11.10 Incentre

Unit 12

### Circles Pt. 2

- 12.1 Arcs and Chords Part I
- 12.2 Arcs and Chords Part II
- 12.3 Arcs and Chords Part III
- 12.4 Arcs and 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

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

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