Math for 7th Grade

Teacher: Brian
Customers Who Have Viewed This Course: 669


0 Introduction 00:01:31

This short introduction will give an overview of course topics to be covered and explain the expected course format.

Section 1

1 Integers, Part 1 00:14:14

Picture of Integers, Part 1 This lesson will teach students to use the number line as a tool to add and subtract integers using a number line.

2 Integers, Part 2 00:18:42

This section will teach students rules for adding, subtracting, multiplying and dividing integers efficiently.

3 Integers Assessment Review 00:00:00

This section will review and explain the answers from the lesson assessment.

4 Exponents, Part 1 00:12:06

This video teaches about the concept and calculation of exponents.

5 Exponents, Part 2 00:05:21

This lesson explains the calculation and rules for special exponents.

6 Exponents Assessment Review 00:13:36

This lessons reviews the exponents assessment.

7 Squares and Square Roots 00:00:00

This lesson teaches the basic concepts of squares and square roots.

8 Squares and Square Roots Assessment Review 00:03:31

This lesson reviews the squares and square roots assessment.

Section 2

9 Factors and Multiples, Part 1 00:09:01

This lesson explains how to find factors and multiples of given numbers.

10 Factors and Multiples, Part 2 00:07:28

This lesson elaborates on techniques to find specific factors and multiples.

11 Factors and Multiples Assessment Review 00:08:48

This lesson reviews the assessment for factors and multiples.

12 Ratios and Rates 00:06:20

This lesson explains how to express and identify ratios and rates and includes a short assessment.

13 Fractions, Part 1 00:13:10

This lesson explains the concepts and basic operations of fractions.

14 Fractions, Part 2 00:09:05

This lesson explains more techniques to manipulate fractions.

15 Fractions Assessment Review 00:08:39

This lesson reviews the fractions assessment.

16 Decimals 00:09:38

This lesson explains the concept of a decimal and how to perform operations with decimal numbers.

17 Decimals Assessment Review 00:06:15

This lesson reviews the decimals assessment.

18 Percent 00:04:23

This lesson focuses on explaining the concept of percent.

19 Percent Assessment Review 00:06:32

This lesson reviews the assessment on percent.

20 Fractions, Decimals and Percents 00:06:32

This lesson explains strategies for changing between fractions, decimals and percents.

21 Fractions, Decimals and Percents Assessment Review 00:05:40

This lesson reviews the assessment on fractions, decimals and percents.

Section 3

22 Angles 00:05:23

This lesson explains basic terminology and concepts for working with angles.

23 Angles Assessment Review 00:02:31

This lesson reviews the assessment for angles.

24 Angles and Lines in Shapes 00:10:21

This lesson explains critical concepts for understanding angles and lines in shapes.

25 Angles and Lines in Shapes Assessment Review 00:07:52

This lesson reviews the solutions to the angles and lines in shapes assessment.

26 Congruence and Similarity 00:06:52

This lesson explains the specific meaning of congruence and similarity in geometry.

27 Congruence and Similarity Assessment Review 00:03:01

This lesson reviews the assessment for congruence and similarity.

28 Area and Solids, Part 1 00:10:14

This lesson explains the core concepts of finding areas of two dimensional figures.

29 Area and Solids, Part 2 00:09:14

This lesson explains finding areas of circles and composite area.

30 Area and Solids Assessment Review 00:09:44

This lesson reviews the area and solids assessment.

31 Surface Area, Part 1 00:10:00

This lesson explains some techniques for calculating simple surface area.

32 Surface Area, Part 2 00:08:26

This lesson continues explaining techniques for calculating surface area.

33 Surface Area Assessment Review 00:07:25

This lesson reviews the surface area assessment.

34 Volume 00:07:18

This lesson explains some basic techniques for finding volume of solid figures.

35 Volume Assessment Review 00:07:53

This lessons reviews the volume assessment.

Section 4

36 Coordinates 00:13:29

This lesson explains how to plot points in a coordinate plane.

37 Coordinates Assessment Review 00:07:02

This lesson reviews the coordinates assessment.

38 Transformations 00:13:26

This lesson explains the concept of transformations as it relates to congruence and similarity.

39 Transformations Assessment Review 00:07:05

This lesson reviews the assessment on transformations.

40 Patterning 00:11:17

This lesson teaches the basic concepts of patterning for pre-algebra.

41 Patterning Assessment Review 00:09:10

This lesson reviews the assessment on patterning.

42 Algebraic Expressions 00:12:13

This lesson teaches evaluating algebraic expressions.

43 Algebraic Expressions Assessment Review 00:05:10

This lesson reviews the assessment for algebraic expressions.

44 Equations, Part 1 00:06:42

This lesson explains some basic techniques to solve one step equations.

45 Equations, Part 2 00:09:46

This lesson shows strategies for solving equations involving fractions and two-step equations.

46 Equations Assessment Review 00:12:48

This lesson reviews the equations assessment.

Section 5

47 Data Management, Part 1 00:14:06

This lesson begins to explore specific frameworks for understanding and organizing data.

48 Data Management, Part 2 00:14:49

This lesson explores more models for organizing data.

49 Data Management Assessment Review 00:07:15

This lesson reviews the data management assessment.

50 Mean, Median and Mode 00:10:19

This lesson explains the concepts of mean, median and mode.

51 Mean, Median and Mode Assessment Review 00:05:47

This lesson reviews the assessment for mean, median and mode.

52 Theoretical Probability 00:11:35

This lessons explains the concept of theoretical probability.

53 Theoretical Probability Assessment Review 00:09:45

This lesson reviews the assessment on theoretical probability.

54 Experimental Probability 00:11:57

This lesson explains the concept of experimental probability.

55 Experimental Probability Assessment Review 00:08:19

This lesson will review the assessment on experimental probability.

56 Applications of Probability 00:10:08

This lesson explains some common applications of probability in the real world.

57 Applications of Probability Assessment Review 00:06:07

This lesson reviews the assessment for applications of probability.

Final Exam

58 Final Exam 00:00:00

This is the final lesson before students take the final exam. NOTE* - The final exam should be taken WITHOUT A CALCULATOR.

Course Summary:

This course is designed to give students an engaging and efficient learning experience exploring all of the most important skills and concepts in 7th grade mathematics.  The course layout will allow students to progress through the course at their own pace with a straightforward and student-friendly video lesson and practice lesson format. Students will be expected to watch the video lesson, and then take the practice assessment attched to the lesson.  Once they have completed the practice assessment, the following video will review and explain each item on the assessment.  At the end of each assessment review video, students will need to pass a brief quiz to move forward in the course, providing frequent checks for understanding and encouraging students to reflect on their own learning. Videos are designed to be manageable in length and contain hooks to real world concepts to help students stay engaged in the content.  

The course begins with a comprehensive review of basic numeracy skills necesary for 7th grade mathematics.  Topics covered include integers, exponents, square roots, fractions, decimals, percents and more.  Special emphasis is put on laying the groundwork for the coordinate plane and algebra with a deep dive into integers and the number line.  The second and third sections address geometry and concepts related to geometry such as congruence and similarity.  Students will find that these sections build in rigor as the lessons progress culminating by learning about the concepts of surface area and volume.  The last two sections of the course focus on pre-algebra, where students will learn to interpret and solve simple algebraic expressions and equations, and are exposed to managing and interpreting data.  Students will explore meaningful connections between tabular data and graphical representations, and learn about the applications of probability in the real world.  


Target Audience: 

This course is intended for all students entering 7th grade who have demonstrated proficiency in 6th grade mathematics.  Content and pacing is geared to meet needs of students performing at or above grade level, or advanced 6th grade students.  This course is also appropriate for 8th grade students looking for a comprehensive review of 7th grade math.  


Course Includes:

  • 8+ hours of video 
  • 25 video lessons
  • 25 practice review video lessons
  • 25 practice assessments
  • 25 embedded quizzes
  • 1 final exam - PDF and digital version
  • 1 final exam answer key 
  • 1 quiz answer sheet for all digital quizzes


Expected Content Outcomes:

Students who complete this course will be able to:

  • Add, subtract, multiply and divide integers, exponents, fractions and decimals
  • Solve problems involving percent, ratios and rates
  • Classify angles and solve problems in involving angles in shapes
  • Compute area, surface area and volume
  • Navigate and make sense of the coordinate plane
  • Manipulate and evaluate simple algebraic expressions and equations
  • Analyze, organize and interpret data in multiple formats
  • Solve and reason with problems involing theoretical and experimental probability


Expected Practice Outcomes:

Students who complete this course will gain practice in:

  • Making sense of and perservering in solving problems
  • Reasoning abstractly and quantitatively
  • Constructing viable mathematical arguments
  • Modeling with mathematics
  • Using appropriate tools strategically
  • Attending to precision appropriately
  • Looking for patterns and making use of structure


Course Lesson Sequence:

  1. Integers
  2. Exponents
  3. Squares and Square Roots
  4. Factors and Multiples
  5. Ratios and Rates
  6. Fractions
  7. Decimals
  8. Percents
  9. Fractions, Decimals, and Percents
  10. Angles
  11. Angles and Lines in Shapes
  12. Congruent and Similar Figures
  13. Solids and Area
  14. Surface Area
  15. Volume
  16. Coordinates
  17. Transformations
  18. Patterning
  19. Algebraic Expressions
  20. Equations
  21. Data Management
  22. Mean, Median and Mode
  23. Theoretical Probability
  24. Experimental Probability
  25. Applications of Probability


  • Teacher: Brian
  • Areas of expertise: Middle School Mathematics; Math Cognition
  • Education: B.A., University of Massachusetts, Amherst M.Ed. Harvard Graduate School of Education
  • Interests: Teaching mathematics and science, woodworking, marathon running, traveling, and spending time with family.
  • Skills: Tutor for students with significant barriers to learning mathematics, seasoned woodworker and carpenter, bilingual English/Spanish, marathon runner, experienced outdoor navigator and skiier
  • Associations: N/A
  • Issues I care about: Equity in education, health and fitness, outdoor recreation and the environment

Final Exam Answers

This document contains the answers to the final exam and is meant to be used to check student work and grade the exam.

Quiz Override Answer Sheet

This document contains all the answers to the quizzes at the end of each lesson section so that parents can "override" the system if the student is not able to select the correct answer.

Preset Color