7th and 8th Grade Geometry

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Teacher: Suzanne
Customers Who Have Viewed This Course: 428
$199.00
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Course Introduction

0 Course Introduction 03:01

Unit 1

0 Unit 1 Introduction 02:10

Introduction covering the lessons and goals of Unit 1.

1 Lesson 1a - Lines and Angles 09:00

Definition of Parallel, Perpendicular, and Transversal Lines will be covered. Angle relationships to lines and the angles formed by lines will be defined. Includes Vertical, Supplemental and complementary angles.   An angle bi-sector will also be defined. 

2 Lesson 1b - Lines and Angles 09:12

Definition of Parallel, Perpendicular, and Transversal Lines will be covered. Angle relationships to lines and the angles formed by lines will be defined. Includes Vertical, Supplemental and complementary angles.   An angle bi-sector will also be defined. 

3 Lesson 1c - Lines and Angles 04:43

Definition of Parallel, Perpendicular, and Transversal Lines will be covered. Angle relationships to lines and the angles formed by lines will be defined. Includes Vertical, Supplemental and complementary angles.   An angle bi-sector will also be defined. 

4 Solutions Lesson 1 11:30

Worked solutions to Unit 1 Lesson 1 homework.

5 Lesson 2a -Angles formed by transversals 04:40

Defintion of corresponding angles, alternate exterior angles, and alternate interior angles.

6 Lesson 2b -Angles formed by transversals 08:10

Definition of corresponding angles, alternate exterior angles, and alternate interior angles.

7 Solutions Lesson 2 08:54

Worked solutions to Unit 1 Lesson 2 homework

8 Lesson 3a: Proving Angle Relationships 10:00

 A basic intrduction to proofs and proof structure.  Proofs of basic triangle relationships SAS, AAS, SSS.

9 Lesson 3b: Proving Angle Relationships 10:00

A basic introduction to proofs and proof structure.  Proofs of basic triangle relationships SAS, AAS, SSS.

10 Solutions Lesson 3 07:28

Worked Solutions to Unit 1 Lesson 3

11 Lesson 4: Classifying Triangles 07:46

In this video students will learn to classify triangles by side and angle types.

12 Solutions Lesson 4 02:48

Worked solutions for Unit 1 Lesson 4. 

13 Lesson 5a: Overview Problems 05:19

Part 1 Lesson 5: Application of material learned in Lessons 1 through 4 to a variety of problem types.

14 Lesson 5b: Overview Problems 07:17

Part 2 Lesson 5: Application of material learned in Lessons 1 through 4 to a variety of problem types.

15 Solutions Lesson 5 08:05

Worked solutions to Unit 1 Lesson 5 Homework. 

16 Lesson 6a: Angles and Circles 09:34

Part 1 of Lesson 6: How to discuss angles in terms of circles using degrees. 

17 Lesson 6b: Angles and Circles 08:53

Part 2 of Lesson 6: How to discuss angles formed inside a circle.

18 Solutions Lesson 6 04:55

Worked Solutions for Unit 1 lesson   6 Homework

19 Lesson 7: Circle Graphs 08:55

Intepretation of a circle graph using material learned in Unit 1 Lesson 6 on angles and percentages.

20 Solutions Lesson 7 04:16

Worked solutions to Unit 1 Lesson 7 Homework

Unit 2

21 Unit 2 Introduction 01:32

Overview of the lessons and material to be covered in Unit 2. 

22 Lesson 1: Ratios and Proportions 10:51

Definition of ratios and proportions, worked examples of applied proportions. 

23 Solutions Lesson 1 08:08

Worked solutions to Unit 2 Lesson 1. 

24 Lesson 2a: Similarity and Congruence 08:04

Define similarity and congrence of two dimensional shapes. 

25 Lesson 2b: Similarity and Congruence 05:04

Similarity and congruence of two-dimensional shapes.

26 Solutions Lesson 2 08:49

Worked solutions to Unit 2 Lesson 2.

27 Lesson 3: The Triangle Property Theorem 09:06

Introduction to the triangle property theorem and its use in proving similarity of triangles.

28 Solutions Lesson 3 03:48

Worked solutions to Unit 2 Lesson 3.

29 Lesson 4: Triangle Congruence Theorems 09:30

Introduction to the triangle congruence theorems. Application to basic proofs. 

30 Solutions Lesson 4 10:01

Worked solutions to Unit 2 Lesson 4.

31 Lesson 5: Congruence Proofs 09:19

Introduction to basic congruence proofs of two dimensional shapes. 

32 Solutions Lesson 5 03:29

Worked solutions to Unit 2 Lesson 5.

33 Lesson 6: The Golden Ratio and Fractals 10:51

Introduction to the use of ratios and similarity in applications from the Golden ratio to Fractals.

34 Solutions Lesson 6 07:17

Worked solutions to Unit 2 Lesson 6.

Unit 3

35 Unit 3 Introduction 01:12

Introduction to the content to be covered in Unit 3. 

36 Lesson 1a: Translations, Reflections, and Rotations 10:15

Definition of the coordinate plane, introduction to the transformations of trnaslation, reflection and rotation.

37 Lesson 1b: Translations, Reflections, and Rotations 06:12

Introduction to the coordinate plane and basic definitions of translations, reflections, and rotations.

38 Solutions Lesson 1 02:16

Worked solutions to Unit 3 Lesson 1.

39 Lesson 2a: Graphing Translations 07:10

How to graph two-dimensional translations in the coordinate plane. 

40 Lesson 2b: Graphing Translations 08:54

How to graph translations and in the coordinate plane. 

41 Solutions Lesson 2 06:21

Worked solutions to Unit 3 Lesson 2

42 Lesson 3a: Graphing Reflections 07:48

How to graph reflections in the coordinate plane.

43 Lesson 3b: Graphing Reflections 09:19

How to graph relfections in the coordinate plane.

44 Solutions Lesson 3 06:05

Worked solutions to Unit 3 Lesson 3

45 Lesson 4a: Line and Rotational Symmetry in Two Dimensions 07:00

Identifying and classifying line and rotational symmetry of two dimensional shapes.

46 Lesson 4b: Line and Rotational Symmetry in Two Dimensions 10:50

Identfying and classifying line adn rotational symmetry in two dimensions.

47 Solutions Lesson 4 02:40

Worked solutions to Unit 3 Lesson 4

48 Lesson 5: Rotation by Degree, Center, and Direction 10:47

How to rotate two-dimensional shapes by degree, center, and direction. 

49 Solutions Lesson 5 04:04

Worked solutions to Unit 3 Lesson 5

50 Lesson 6a: Transformations and Similarity in Corresponding Figures 07:04

Applications of transformations and symmetry in two-dimensional shapes.

51 Lesson 6b: Transformations and Similarity in Corresponding Figures 08:00

Transformations and similarity in two-dimensional shapes.

52 Solutions Lesson 6 05:57

Worked solutions to Unit 3 Lesson 6

53 Lesson 7a: Tessellation 10:21

How transformations and similarity create tessellations. Seeing tessellations and creating tessellations in the real-world. 

54 Lesson 7b: Tessellation 06:12

How transformations and similarity create tessellations

55 Solutions Lesson 7 03:07

Worked solutions to Unit 3 Lesson 7

Unit 4

56 Unit 4 Introduction 01:25

Introduction and overview of Unit 4 material.

57 Lesson 1: Distance, squares, square roots, and radicals 12:18

Introduction to the topics of squares, square roots and radicals.

58 Solutions Lesson 1 04:46

Worked solutions to Unit 4 Lesson 1

59 Lesson 2a: The Pythagorean Theorem 06:47

Introduction to the pythagorean theorem. Application 

60 Lesson 2b: The Pythagorean Thereom 07:04

Introduction to the Pythagorean Theorem. 

61 Solutions Lesson 2 05:01

Worked solutions to Unit 4 Lesson 2

62 Lesson 3a: Application Problems 06:39

Application of the Pythagorean Theorem to real-world word problems. 

63 Lesson 3b: Application Problems 06:41

Word problems that use the Pythagorean Theorem

64 Solutions Lesson 3 11:03

Worked solutions to Unit 4 Lesson 3

65 Lesson 4: The Pythagorean Theorem Converse and Special Cases 07:38

Using the converse of the Pythagorean Theorem and special types of right triangles. 

66 Solutions Lesson 4 05:32

Worked solutions to Unit 4 Lesson 4

Unit 5

67 Unit 5 Introduction 02:00

Brief overview of the material covered in Unit 5. 

68 Lesson 1a: Cubes and Rectangular Solids 08:42

Area and Volume of Cubes and rectangular solids. 

69 Lesson 1b: Cubes and Rectangular Solids 10:23

Area and Volume of Cubes and rectangular solids. 

70 Solutions Lesson 1 11:59

Worked solutions to Unit 5 Lesson 1

71 Lesson 2a: Cylinders and Cones 07:26

Area and volume equations of cylinders and cones.

72 Lesson 2b: Cylinders and Cones 07:31

Area and volume equations of cylinders and cones.

73 Solutions Lesson 2 09:08

Worked solutions to Unit 5 Lesson 2

74 Lesson 3: Spheres 06:33

Area and Volume of spheres

75 Solutions Lesson 3 05:02

Worked solutions to Unit 5 Lesson 3

76 Lesson 4: Pyramids and Prisms 09:06

Area and volume of square pyramids and rectangular prisms. 

77 Solutions Lesson 4 11:03

Worked solutions to Unit 5 Lesson 4

78 Lesson 5: Faces, Edges and Vertices 06:12

Introduction to Euler's Theorem on the faces, edges and vertices of regular solids.

79 Solutions Lesson 5 05:30

Worked solutions to Unit 5 Lesson 5

80 Lesson 6: Cross Sections and Nets 08:05

Introduction to taking cross sections of solids and deconstructing solids into nets.

81 Solutions Lesson 6 06:24

Worked solutions to Unit 5 Lesson 6

Course Description

This course covers the major topics in 7th and 8th Grade Geometry.  The course consists of 33 video-lessons with homeworks, homework review videos, tests, and discussion questions for parents.  The goal of this course is to emphasis the link between geometry and the everyday world while creating a solid foundation for advancement to high school geometry.

Seeing geoemtry in the world around us is the emphasis of this course.  Where applicable word problem are used to highlight how geometry can be used to solve "every-day" problems.  Students are chellenged to find example of geometry in their daily lives adn to imagine how geometry could be used or is used in simple daily tasks, from how to slice a sandwich (rectangluar or square) to beidge design.  

Course Goals

Upon course completion, students will be understand the relationships between angles and lines,  similarity and congruence of two-dimenional shapes, the transformations of translation, rotation and reflection, the Pythagorean Theorem,  the relationship between two-and three dimensional shapes, area, surface-area and volume, as well as the basic of proofs. 

Target Audience

This video-course is primarily intended for Grades 7 and 8 students and Grade 9 students who may need to review previously taught concepts. The difficultly level of this course is medium.

Course Requirements

Students taking this course are expected to have satisfactorily understood and mastered the most important topics taught in a standard Grade 6 Math Course.

Course Includes

  • 9 hours of video
  • 33 Video-lessons
  • 33 Worksheet review videos
  • 33 Homework exercises
  • Over 250 practice problems!
  • 5 Quizzes
  • 1 Comprehensive Exam
  • Answer "keys" to all homeworks, quizzes and tests (Additional Resources For Parents)
  • 10 additional discussion topics (Additional Resources For Parents)

Course Topics 

  • Introduction
  • Line and Angle Types
  • Angles formed by Transversals
  • Intro to proofs: Proving Angles Relationships
  • Classifying Triangles by Side or Angle
  • Angles and Circles
  • Circle Graphs
  • Similar Figures
  • Congruence
  • Ratios and Proportions
  • Proportions, Similarity and COngruence in Traingels
  • Similarity adn COngruence in two-dimensional shapes
  • Basic Triangle Proofs
  • The Golden Ratio, Fractals, adn Fibbonnacci Sequence
  • The Cooordinate Plane
  • Translation, Refelction and Rotation
  • Symmetry
  • Tessellation
  • Distance, square roots and radicals
  • The Pythagorean Theorem
  • Converses of the Pythagorean Theorem
  • Permimeter, Area, Volume
  • Three Dimensional Shapes
  • Faces, Edges, Vertices
  • Cross-sections
  • Nets
  • Teacher: Suzanne
  • Areas of expertise: Mathematics
  • Education: PhD in Mathematics, NMSU 2010
  • Interests: Digital platform development for Math Education
  • Skills: Word problems, interdisciplinary work
  • Associations: AMATYC
  • Issues I care about: Expanding Math Education, Integrating STEM and Art

Mathematics underlies the world around us, in the technology we use everyday to the patterns in a snail shell. I believe that everyone can understand and appreciate mathematics. While not everyone will be a mathematics major everyone can appreciate the role mathematics plays in how we see and shape our world.

Welcome

Suggestions for best use of the course.

Unit 1 Homework Keys

Answer Keys for Unit 1 homeworks

Unit 2 Homework Keys

Answer Keys to Unit 2 Homework

Unit 3 Homework Keys

Answer Keys to Unit 3 Homework

Unit 4 Homework Keys

Answer Keys to Unit 4 Homework

Unit 5 Homework Keys

Answer Keys to Unit 5 Homework

Quiz 1 and Solutions

Quiz 1 covers material in Unit 1.  The Solutions key is included. 

Quiz 2 and Solutions

Quiz covering Unit 2 material and Solution Key

Quiz 3 and Solutions

Quiz covering Unit 3 Material and solution key

Quiz 4 and Solutions

Quiz covering unit 4 material and solutions

Quiz 5 and Solutions

Quiz covering Unit 5 material and solutions

Comprehensive Exam and Solutions

Comprehensive exam covering material learned in Units 1-5. Solutions included

Discussion Questions

Discussion Questions to ask students to deepen their connection to the material.

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