*Geometry* has three main areas of emphasis: the vocabulary of geometry, practical applications of geometry, and traditional geometry, including proofs. Topics include lines, angles, area, perimeter, volume, Pythagorean theorem, axioms and postulates, congruency, and similarity. An introduction to trigonometric functions is included to prepare students for testing they may do before taking a trigonometry course.

## Geometry

# Points, Lines, Planes, Angles, Circles, Triangles, Quadrilaterals, Pythagorean Theorem, Conic Sections, Proofs, and More

- Geometry Overview
- Concepts and Skills
- Scope & Sequence
- Sample Lesson

# What do I need?

#### To successfully complete the *Geometry* level, you will need:

- Instruction Manual — includes detailed instructions and solutions
- Instructional lesson videos — on DVDs and streaming within the
*Geometry*Digital Pack - Student Workbook — includes Lesson Practice, Systematic Review, and Honors worksheets
- Tests booklet

Browse our sets to find the best fit for your needs.

#### What concepts are taught in Geometry?

###### Major Concepts and Skills Include:

- Describing points, lines, rays, line segments, angles, and planes
- Calculating the measure of the interior and exterior angles of a regular polygon
- Understanding the geometry of a circle, sphere, and ellipse
- Understanding and computing volume and surface area of solids
- Using the Pythagorean theorem to identify triangle attributes
- Applying postulates, theorems, definitions, and properties to geometric proofs

###### Additional Concepts and Skills:

- Using a protractor to construct angles
- Using a compass to construct bisectors
- Constructing and identifying triangles
- Working with algebraic expressions containing radicals
- Completing geometric transformations within a Cartesian plane
- Understanding basic trigonometric functions

#### Lessons contained in Geometry

- Lesson 01: Points, Lines, Rays, and Line Segments
- Lesson 02: Planes and Sets
- Lesson 03: Angles
- Lesson 04: Types of Angles
- Lesson 05: Parallel and Perpendicular Lines with Midpoints and Bisectors
- Lesson 06: Supplementary and Complementary Angles
- Lesson 07: Transversals with Interior and Exterior Angles
- Lesson 08: Perimeter and Interior Angles of a Rectangle, Triangle, Parallelogram, and Trapezoid
- Lesson 09: Area of a Rectangle, Triangle, Parallelogram, and Trapezoid
- Lesson 10: Constructing and Identifying Triangles
- Lesson 11: Regular Polygons
- Lesson 12: Geometry of a Circle, Sphere and Ellipse; Inscribed and Circumscribed Figures
- Lesson 13: Area and Circle and Ellipse; Circumference of a Circle; Latitude and Longitude
- Lesson 14: Volume of Rectangular Solid and Cylinder

- Lesson 15: Volume of Pyramid, Cone, Prism, and Sphere
- Lesson 16: Surface Area of Solids
- Lesson 17: Radicals
- Lesson 18: Pythagorean Theorem
- Lesson 19: More on Radicals
- Lesson 20: Special Triangles: (45°-45°-90°)
- Lesson 21: Special Triangles: (30°-60°-90°)
- Lesson 22: Axioms, Postulates, and Theorems
- Lesson 23: Corresponding Parts of Triangles and Remote Interior Angles
- Lesson 24: Proving Triangles Congruent with SSS and SAS
- Lesson 25: Proving Triangles Congruent with ASA and AAS; Amplified Parallelogram Theorem
- Lesson 26: Proving Triangles Congruent with HL, LL, HA, and LA
- Lesson 27: Proving Triangles Similar with AA and Proportion or Ratio
- Lesson 28: Transformational Geometry
- Lesson 29: Trigonometric Functions: Sine, Cosine, and Tangent
- Lesson 30: Inverse Trigonometric Functions: Secant, Cosecant, and Cotangent; Sin² + Cos² = 1

# Lesson 6: Supplementary and Complementary Angles

Use Math-U-See’s four step approach and try out an example lesson from the Geometry level.

Step 1: Watch the video and review the material in the sample PDF below.

Step 2: Present the concept to your child using the build, write and say method.

Step 3: Have your student practice the concept using the sample PDF below.

Step 4: Evaluate their level of mastery and if ready move on to the next lesson.

Each lessons A, B, and C pages are used to teach the current lessons concept. The lettered lesson pages that come after those are for systematic review. These review pages may not be necessary for your child to fully complete, they should be used to practice the concepts they have not yet mastered or to review the concepts they have.

##### Still Unsure? Have your child take one of our Placement Assessments to see if this is the right level for them!

# Geometry Sets

- Canadian Edition

*Geometry*:

- Instruction Manual with complete solutions
- Instruction DVD
- Student Workbook
- Tests booklet
- Lifetime access to our
*Geometry*Digital Pack

## $159.00

# Geometry Individual Items

All of our Math-U-See books are the Canadian Edition and we are the only authorized retailer in Canada able to offer it.

- Canadian Edition

*Geometry*Student Pack contains the Student Workbook with lesson-by-lesson worksheets, review pages, and honors pages. It also includes the

*Geometry*Tests.

## $68.50

- Canadian Edition

*Geometry*Instruction Pack contains the instruction manual with lesson-by-lesson instructions and detailed solutions, and the DVD with lesson-by-lesson video instruction.

## $105.95

*Geometry*streaming instruction videos and online Instruction Manual, lesson and test solutions, and other online resources from any browser. Digital Access information will be sent in a separate email once the order has been processed. Note: Digital Packs do not include Student Workbook or Tests.

## $69.95

**Note about the Canadian Edition:** MathCanada is the only authorized distributor for the Canadian Edition of Math-U-See. Every Math-U-See book we sell will be the Canadian Edition. If you are purchasing your books from another vendor, unless they are used, will be the US version which does not contain Canadian content such as the metric system or Canadian money.