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This lesson will teach students to use the number line as a tool to add and subtract integers using a number line.

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

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

This video teaches about the concept and calculation of exponents.

This lesson explains the calculation and rules for special exponents.

This lessons reviews the exponents assessment.

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

This lesson reviews the squares and square roots assessment.

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

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

This lesson reviews the assessment for factors and multiples.

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

This lesson explains the concepts and basic operations of fractions.

This lesson explains more techniques to manipulate fractions.

This lesson reviews the fractions assessment.

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

This lesson reviews the decimals assessment.

This lesson focuses on explaining the concept of percent.

This lesson reviews the assessment on percent.

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

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

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

This lesson reviews the assessment for angles.

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

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

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

This lesson reviews the assessment for congruence and similarity.

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

This lesson explains finding areas of circles and composite area.

This lesson reviews the area and solids assessment.

This lesson explains some techniques for calculating simple surface area.

This lesson continues explaining techniques for calculating surface area.

This lesson reviews the surface area assessment.

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

This lessons reviews the volume assessment.

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

This lesson reviews the coordinates assessment.

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

This lesson reviews the assessment on transformations.

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

This lesson reviews the assessment on patterning.

This lesson teaches evaluating algebraic expressions.

This lesson reviews the assessment for algebraic expressions.

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

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

This lesson reviews the equations assessment.

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

This lesson explores more models for organizing data.

This lesson reviews the data management assessment.

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

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

This lessons explains the concept of theoretical probability.

This lesson reviews the assessment on theoretical probability.

This lesson explains the concept of experimental probability.

This lesson will review the assessment on experimental probability.

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

This lesson reviews the assessment for applications of probability.

**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:**

- Integers
- Exponents
- Squares and Square Roots
- Factors and Multiples
- Ratios and Rates
- Fractions
- Decimals
- Percents
- Fractions, Decimals, and Percents
- Angles
- Angles and Lines in Shapes
- Congruent and Similar Figures
- Solids and Area
- Surface Area
- Volume
- Coordinates
- Transformations
- Patterning
- Algebraic Expressions
- Equations
- Data Management
- Mean, Median and Mode
- Theoretical Probability
- Experimental Probability
- 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

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

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.