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Grade 7-8 Prealgebra

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Teacher: Kyle
Customers Who Have Viewed This Course: 4428
$150.00
$62.00

Course Introduction

0 Course Introduction 02:36

Here's a little about this course.

Unit 1: Equations

1 1.1 Solving Simple Equations 19:37

In the Lesson, students will use Properties of Equality to solve one-step equations.

1 1.1 Practice worked-out-solutions 04:02

Practice worked-out-solutions

2 1.2 Solving Multi-Step Equations 13:37

In the Lesson, students will solve multi-step equations by using inverse operations to isolate the variable.

2 1.2 Practice worked-out-solutions 06:57

Practice worked-out-solutions

3 1.3 Solving Equations with Variables on Both Sides 17:33

In the Lesson, students will solve equations with variables on both sides by using Properties of Equality and collecting variable terms on one side. The equations could have one solution, no solution, or infinitely many solutions.

3 1.3 Practice worked-out-solutions 04:34

Practice worked-out-solutions

4 1.4 Rewriting Equations and Formulas 16:58

In the Lesson, students will rewrite literal equations when asked to solve for a specific variable in a formula.

4 1.4 Practice worked-out-solutions 02:36

Practice worked-out-solutions

Unit 2: Transformations

5 2.1 Congruent Figures 09:09

In the Lesson, students will use the definition of congruent figures to determine whether two figures (polygons) are congruent.

5 2.1 Practice worked-out-solutions 04:07

Practice worked-out-solutions

6 2.2 Translations 12:52

In the Lesson, students will use their visual skills to draw translations in the coordinate plane.

6 2.2 Practice worked-out-solutions 02:35

Practice worked-out-solutions

7 2.3 Reflections 10:29

In the Lesson, students will use their visual skills to draw reflections in the coordinate plane.

7 2.3 Practice worked-out-solutions 02:32

Practice worked-out-solutions

8 2.4 Rotations 15:08

In the Lesson, students will use their visual skills to draw rotations in the coordinate plane.

8 2.4 Practice worked-out-solutions 06:14

Practice worked-out-solutions

9 2.5 Similar Figures 07:46

In the Lesson, students will use the formal definition of similar figures.

9 2.5 Practice worked-out-solutions 05:26

Practice worked-out-solutions

10 2.6 Perimeters & Areas of Similar Figures 09:00

In the Lesson, students will use the stated relationships to solve problems.

10 2.6 Practice worked-out-solutions 01:42

Practice worked-out-solutions

11 2.7 Dilations 22:30

In the Lesson, students will identify dilations and use scale factors to enlarge and reduce polygons in the coordinate plane.

11 2.7 Practice worked-out-solutions 03:56

Practice worked-out-solutions

Unit 3: Angles & Triangles

12 3.1 part 1 Parallel Lines & Transverals 13:01

In the Lesson, students will find the measures of many types of angles, all formed when parallel lines are cut by a transversal.

12 3.1 Practice worked-out-solutions 03:31

Practice worked-out-solutions

13 3.1 part 2 Parallel Lines & Transverals 10:54

In the Lesson, students will continue to find the measures of many types of angles, all formed when parallel lines are cut by a transversal.

13 3.1 part 2 Practice worked-out-solutions 03:31

Practice worked-out-solutions

14 3.2 Angles of Triangles 15:10

In the Lesson, students will find the missing angle measure of a triangle and classify the triangle

14 3.2 Practice worked-out-solutions 05:13

Practice worked-out-solutions

15 3.3 Angles of Polygons 21:46

In the Lesson, students will use a formula to find the sums of interior and exterior angle measures of a polygon.

15 3.3 Practice worked-out-solutions 03:18

Practice worked-out-solutions

16 3.4 Using Similar Triangles 16:13

In the Lesson, students will use similar triangles to find missing side lengths

16 3.4 Practice worked-out-solutions 09:21

Practice worked-out-solutions

Unit 4: Graphing & Writing Linear Equations

17 4.1 Graphing Linear Equations 09:43

In the Lesson, students will graph linear equations using a table of values

17 4.1 Practice worked-out-solutions 06:23

Practice worked-out-solutions

18 4.2 Slope of a Line 15:29

In the Lesson, students will find slopes of lines from graphs and tables.

18 4.2 Practice worked-out-solutions 02:32

Practice worked-out-solutions

19 4.3 Graphing Proportional Relationships 11:48

In the Lesson, students will write and graph proportional relationships.

19 4.3 Practice worked-out-solutions 01:27

Practice worked-out-solutions

20 4.4 Graphing Slope-Intercept Form 10:16

In the Lesson, students will graph equations in slope-intercept form.

20 4.4 Practice worked-out-solutions 02:28

Practice worked-out-solutions

21 4.5 Graphing Standard Form 06:24

In the Lesson, students will graph equations written in standard form.

21 4.5 Practice worked-out-solutions 04:17

Practice worked-out-solutions

22 4.6 Writing Equations in Slope-Intercept Form 06:29

In the Lesson, students will write an equation of a line using the slope and y-intercept.

22 4.6 Practice worked-out-solutions 03:10

Practice worked-out-solutions

23 4.7 Writing Equations in Point-Slope Form 14:12

In the Lesson, students will write an equation of a line given the slope and a point.

23 4.7 Practice worked-out-solutions 05:07

Practice worked-out-solutions

Unit 5: Systems of Equations

24 5.1 Solving Systems by Graphing 10:47

In the Lesson, students will solve systems of linear equations by graphing.

24 5.1 Practice worked-out-solutions 02:43

Practice worked-out-solutions

25 5.2 Solving Systems by Substitution 10:46

In the Lesson, students will solve systems of linear equations by substitution.

25 5.2 Practice worked-out-solutions 07:11

Practice worked-out-solutions

26 5.3 Solving Systems by Elimination 11:39

In the Lesson, students will solve systems of linear equations by elimination.

26 5.3 Practice worked-out-solutions 06:59

Practice worked-out-solutions

27 5.4 Solving Special Systems 15:14

In the Lesson, students will solve special systems of linear equations.

27 5.4 Practice worked-out-solutions 03:27

Practice worked-out-solutions

Mid-Term Exam

28 Mid-Term Exam 00:00

Students,

Download the exam (print if you wish) and input your answers into the digital format online. The sytem will auto-grade your responses. 

Unit 6: Functions

28 6.1 Relations & Functions 09:42

In the Lesson, students will use ordered pairs and mapping diagrams to display functions.

28 6.1 Practice worked-out-solutions 02:31

Practice worked-out-solutions

29 6.2 Representations of Functions 12:21

In the Lesson, students will represent functions by writing equations in two variables, using input-output tables, and using graphs.

29 6.2 Practice worked-out-solutions 05:22

Practice worked-out-solutions

30 6.3 Linear Functions 12:15

In the Lesson, students will write linear functions by recognizing patterns in graphical and tabular information

30 6.3 Practice worked-out-solutions 03:31

Practice worked-out-solutions

31 6.4 Comparing Linear & Nonlinear Functions 13:13

In the Lesson, students will compare linear and nonlinear functions.

31 6.4 Practice worked-out-solutions 01:50

Practice worked-out-solutions

Unit 7: Real Numbers & the Pythagorean Theorem

32 7.1 Finding Square Roots 16:10

In the Lesson, students will find square roots and evaluate expressions involving square roots.

32 7.1 Practice worked-out-solutions 00:58

Practice worked-out-solutions

33 7.2 Find Cube Roots 13:11

In the Lesson, students will find cube roots and evaluate expressions involving cube roots.

33 7.2 Practice worked-out-solutions 01:39

Practice worked-out-solutions

34 7.3 The Pythagorean Theorem 10:01

In the Lesson, students will use the Pythagorean Theorem to find missing side lengths of right triangles.

34 7.3 Practice worked-out-solutions 03:08

Practice worked-out-solutions

35 7.4 part 1 Approximating Square Roots 14:01

In the Lesson, students will approximate square roots working with known perfect squares.

36 7.4 part 2 Repeating Decimals to Fractions 10:56

In the Lesson, students will learn how to convert a repeating decimal to a fraction

36 7.4 Practice worked-out-solutions 06:26

Practice worked-out-solutions

37 7.5 Using the Pythagorean Theorem (Distance Formula) 14:01

In the Lesson, students will use the converse of the Pythagorean Theorem and the distance formula.

37 7.5 Practice worked-out-solutions 09:09

Practice worked-out-solutions

Unit 8: Volume & Similar Solids

38 8.1 Volume of Cylinders 12:51

In the Lesson, students will work with a formula for the volume of a cylinder

38 8.1 Practice worked-out-solutions 03:34

Practice worked-out-solutions

39 8.2 Volume of Cones 10:46

In the Lesson, students will work with the formula for the volume of a cone

39 8.2 Practice worked-out-solutions 04:10

Practice worked-out-solutions

40 8.3 Volume of Spheres 14:44

In the Lesson, students will find volumes of spheres.

40 8.3 Practice worked-out-solutions 04:09

Practice worked-out-solutions

41 8.4 Surface Area & Volume of Similar Solids 14:03

Students will learn what happens to the surface areas and volumes of solids when the dimensions are multiplied by a factor of k.

41 8.4 Practice worked-out-solutions 05:22

Practice worked-out-solutions

Unit 9: Data Analysis & Displays

42 9.1 Scatter Plots 07:56

In the Lesson, students will construct scatter plots and identify relationships between the two data sets.

42 9.1 Practice worked-out-solutions 00:53

Practice worked-out-solutions

43 9.2 Lines of Fit 11:46

In the Lesson, students will draw the line of fit for a scatter plot and analyze the equation of the line.

43 9.2 Practice worked-out-solutions 01:57

Practice worked-out-solutions

44 9.3 Two-Way Tables 19:41

In the Lesson, students will construct two-way tables and identify relationships between categories of a two-way table.

44 9.3 Practice worked-out-solutions 04:35

Practice worked-out-solutions

45 9.4 Choosing a Data Display 12:16

In the Lesson, students will choose and construct an appropriate data display.

45 9.4 Practice worked-out-solutions 01:22

Practice worked-out-solutions

Unit 10: Exponents & Scientific Notation

46 10.1 Exponents 15:25

In the Lesson, students will write expressions involving exponents and evaluate powers.

46 10.1 Practice worked-out-solutions 00:38

Practice worked-out-solutions

47 10.2 Product Property of Exponents 09:26

In the Lesson, students will use the Product of Powers Property, the Power of a Power Property, and the Power of a Product Property to simplify expressions.

47 10.2 Practice worked-out-solutions 01:20

Practice worked-out-solutions

48 10.3 Quotient Property of Exponents 07:46

In the Lesson, students will use the Quotient of Powers Property to simplify expressions.

48 10.3 practice worked-out-solutions 02:45

practice worked-out-solutions

49 10.4 Zero & Negative Exponents 16:25

In the Lesson, students will use the definitions of zero and negative exponents to evaluate and simplify expressions.

49 10.4 practice worked-out-solutions 02:50

practice worked-out-solutions

50 10.5 Reading Scientific Notation 09:37

In the Lesson, students will read numbers in scientific notation and write them in standard form.

50 10.5 practice worked-out-solutions 01:38

practice worked-out-solutions

51 10.6 Writing Scientific Notation 06:43

In the Lesson, students will convert numbers in standard form to scientific notation

51 10.6 practice worked-out-solutions 01:36

practice worked-out-solutions

52 10.7 Operations in Scientific Notation 08:36

In the Lesson, students will perform operations with numbers written in scientific notation

52 10.7 practice worked-out-solutions 04:20

practice worked-out-solutions

Final Exam

54 Final Exam 00:00

This 90 question Final Exam covers units 6-10. Download the document (print if you wish) and input your answers to each question online. The system will auto-grade your responses. Do your best and good luck!

Course Description

This course covers the Common Core State Standards geared towards a regular prealgebra classroom. 

Course Goal

This course is designed to prepare students for Algebra 1 but can also be used as a tool to help students keep their pre-algebra skills sharp through the long summer breaks. My hope is that students who take this course leave with 1) a better appreciation and enjoyment of math 2) stronger critical thinking and reasoning skills in math and 3) a solid foundation to catapult them to success in their future mathematics careers. 

Course Includes

  • 14+ hours of in depth instructional video
  • 51 engaging video lessons
  • 51 accompanying worksheets
  • Answer Keys provided to parents
  • 51 worked-out-solution videos for each worksheet assignment
  • Creative music videos to help remember concepts

Course Pre-requisites

Students taking this course should have succesfully completed the typical grade 7 concepts. There may be a few gaps depending on indivudual backgrounds but most concepts can be learned regardless through the explanations in these video lessons. 

Course Requirements

  • A scientific calculator (graphing calculator not required)
  • Paper 
  • Pencils
  • Positive attitude willing to learn

Units of Study

  1. Equations
    • Solving Simple Equations
    • Solving Multi-Step Equations
    • Solving Equations with Variables on both sides
    • Rewriting Equations and Formulas (Literal Equations)
  2. Transformations
    1. Congruent Figures
    2. Translations
    3. Reflections
    4. Rotations
    5. Similar Figures
    6. Perimeters & Areas of Similar Figures
    7. Dilations
  3. Angles and Triangles
    1. Parallel Lines & Transversals
    2. Angles of Triangles
    3. Angles of Polygons
    4. Using Similar Triangles
  4. Graphing & Writing Linear Equations
    1. Graphing Linear Equations
    2. Slope of a Line
    3. Graphing Proportional Relationships
    4. Graphing Linear Equations in Slope-Intercept Form
    5. Graphing Linear Equations in Standard Form
    6. Writing Equations in Slope-Intercept Form
    7. Writing Equations in Point-Slope Form
  5. Systems of Linear Equations
    1. Solving Systems of Linear Equations by Graphing
    2. Solving Systems of Linear Equations by Substitution
    3. Solving Systems of Linear Equations by Elimination
    4. Solving Special Systems of Linear Equations
  6. Functions
    1. Relations as Functions
    2. Representations of Functions
    3. Linear Functions
    4. Comparing Linear & Non-Linear Functions.
  7. Real Numbers & Pythagorean Theorem
    1. Finding Square Roots
    2. Finding Cube Roots
    3. The Pythagorean Theorem
    4. Approximating Square Roots
    5. Using The Pythagorean Theorem (Distance Formula)
  8. Volume & Similar Solids
    1. Volumes of Cylinders
    2. Volume of Cones
    3. Volume of Spheres
    4. Surface Area & Volume of Similar Solids
  9. Data Analysis
    1. Scatter Plots
    2. Lines of Fit
    3. Two-Way Tables
    4. Choosing a Data Display
  10. Exponents & Scientific Notation
    1. Exponents
    2. Product of Powers Property
    3. Quotient of Powers Property
    4. Zero and Negative Exponents
    5. Reading Scientific Notation
    6. Writing Scientific Notation
    7. Operations in Scientific Notation

 

Thanks for taking my course. I'm excited to get started with you! 

  • Teacher: Kyle
  • Areas of expertise: Mathematics & Science
  • Education: BA in Middle Childhood Mat & Science Education-Cedarville University 2006. MA in Teacher Leadership from Cedarville University 2010.
  • Interests: God, Family, Education, Sports, Being outside.
  • Skills: Handyman, technology, coach cross country & Track.
  • Associations: State Licensed Teacher, Ohio West District Teacher of the year recipient.
  • Issues I care about: Education

Practice Answer Keys

Click the "txt" file to the right to select which lesson you want to see the solutions for. Note: Some lessons do not have answer keys provided for parents, however, all lessons have a worked-out-solutions video that accompanies each practice sheet that students can view.

Test Preparation Document

Test Preparation Document

Digital Quizzes and Tests Answer Keys Document

Digital Quizzes and Tests Answer Keys Document

Unit Test Answer Keys

Answer keys for every unit test.
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