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This is our first lesson from the unit, Proportional Reasoning. Here, we begin with ratios and discuss how to build up a ratio in order to create a proportion.

Let's go over the assignment for lesson 1.

This is our second lesson from the unit, Proportional Reasoning. Here, we begin with ratios and discuss how to build down a ratio in order to create a proportions. We also discus comparing ratios

Let's go over the assignment for lesson 2.

A quick introduction to variables and a discussion about Cross-Product. We'll use what we learned from the previous two lessons and apply multiplication and division to finding missing values to proportions.

Let's go over the assignment for lesson 3.

Let's apply what we've learned to some real-world examples of proportions. They are everywhere!

Let's go over the assignment for lesson 4.

We begin the second section of our first unit by discussing the concept of unit ratios.

Let's go over the assignment for Lesson 5.

In this lesson, we talk about multiplicative comparisons and dividing fractions. We discuss these topics in order to make sense out of unit rates. All of this will be applied to how we represent proportions within tables, graphs, and equations.

Let's go over the worksheet for Lesson 6.

In this lesson, we begin to discuss table representations for proportional reasoning. Our goal is to apply our thinking about ratios and proportional with the organization of tables.

Let's go over the worksheet for Lesson 7.

In this lesson, we continue our work depicting proportional relationships with representations by discuss graphs. We try to understanding how the slope connects with the constant of proportionality.

Let's go over the worksheet for Lesson 8.

In this lesson, we finalize our work on representations by discussing equations and how they relate to proportional reasoning. By using tables and graphs, we can see how variables play a role in modeling proportions with equations.

Let's go over the worksheet for Lesson 9.

In this lesson, we take reflective approach on what we've covered in this unit and try to make connections between ratios, proportional reasoning, and the representations we covered. This unit is a great first step in developing mature mathematical thinking about how we can model the real world with mathematics.

Let's go over our final worksheet for the Proportional Reasoning Unit!

Let's start with what we know about adding positive numbers and expand our thinking to negative numbers.

Let's go over the assignment for lesson 11.

In this lesson, we turn to the notion of subtracting both positive and negative numbers. We use the number line to help model what it means to subtract integers

Let's go over the assignment for lesson 12.

In this lesson, we apply our understanding of adding and subtracting integers to absolute values and the notion of distance on the number line.

Let's go over the assignment for lesson 13

We apply some of our new skills to the range of ranges including fractions, Rational numbers. We are not becoming more comfortable with handling all sorts of situations involving positive and negative numbers.

Let's go over the assignment for lesson 14.

In this lesson, we move on to multiplying Rational numbers. Remember, Rational numbers include all positive and negative numbers that are fractions and whole numbers.

Let's go over the assignment for lesson 15

In this lesson, we spend time on the algorithm for dividing fractions: Keep, Change, Flip. We spend time learning why this makes sense.

Let's go over the assignment for lesson 16.

In this lesson, we go over the unit and review the big picture ideas around operating on Rational numbers. What we learned in this unit will carry over to just about all things mathematics.

Let's go over our final worksheet for the Rational Numbers Unit!

As our first lesson within Expressions & Equations, we re-introduce the notion of variables and doing basic operations on them. Once again, we expand what we've learned about numbers and apply them to the notion of expressions and variables.

Let's go over the assignment for Lesson 18.

In this lesson, we consider different forms of expressions and how to move between factored and distributed expressions. This helps us look equivalent expressions in different ways.

Let's go over the assignment for Lesson 19.

Let's connect our knowledge about proportions to the context of percentages and
solve some problems!

Let's go over the assignment for lesson 20

In this lesson, we apply what we learned in the previous lesson to discounts, tax, tip, and commissions. These are real-world situations where you really need to know some mathematics.

Let's go over the assignment for lesson 21

In this lesson, we apply what we learned in the previous lesson to markups, markdowns, percentage increases and decreases. These are real-world situations where you really need to know some mathematics.

Let's go over the assignment for lesson 22.

Now we move on from expressions to equations. Let's apply our learning to how we can solve equations with one variable.

Let's go over the assignment for lesson 23

Now we move from simple equations to solving multi-step equations. Let's think about the order of operations, but in reverse for solving equations.

Let's go over the assignment for lesson 24.

Let's use our new skills to solve some real-world problems.

Let's go over the assignment for lesson 25

In this lesson, we apply our skills of solving equations to inequalities. The process is very similar, however, we need to consider some important details about what it means to solve for inequalities.

Let's go over the assignment for lesson 26.

Let's learn how to graph inequalities on a number line. This visualize provides a nice way to interpret inequalities.

Let's go over the assignment for lesson 27.

Let's bring back our knowledge about proportions and apply to shapes! Now, we're going to find missing measurements for shape that are proportional.

Let's go over the assignment for lesson 28.

Now we work on constructing geometrical shapes and begin with the first dimension: lines. With lines, we can create angles and start to analyze properties of shapes.

Let's go over the assignment for lesson 29.

We dive deeper and consider variations of angles including expressions with variables for angle measurements. We are learning the building blocks for analyzing all sorts of shapes.

Let's go over the assignment for lesson 30.

Let's talk about triangles! In this lesson we examine different types of triangle and begin our study of two-dimensional shapes.

Let's go over the assignment for lesson 31.

In this lesson, we learn about the most important shape in the universe: the circle. We discuss the concept of pi and the important properties of this wonderful shape.

Let's go over the assignment for lesson 32.

In this lesson, we journey into three-dimensional shapes and learn about volume and surface area.

Let's go over the assignment for lesson 33.

We now move on to our fifth and final unit: Statistics & Probability. We start with exploring probability of single events and how to compute the likelihood of these events.

Let's go over the assignment for lesson 34.

Let's learn about how to organize multiple events and solve probabilities. The idea is to take our understanding of solving for probabilities and apply it to more complicated situations.

Let's go over the assignment for lesson 35.

For the last two lessons we were working on theoretical probabilities, but the real world demands that we learn about estimating, the imperfect science that truly addresses our imperfect world. All we can do is gather information and analyze. Let's start with estimating.

Let's go over the assignment for lesson 36.

This lesson is about how to understand our world. We take data and information in order to analyze populations. This is in turn helps us learn about everything around us. This lesson is at the heart of Statistics.

Let's go over the assignment for lesson 37.

The best way to understand data and information is through pictures that display the facts in an appealing way. In this lessons, we discuss two ways to take small sets of data: dot plots and box-and-whiskers.

Let's go over the assignment for lesson 38.

For our last lesson of the course, we look at applying our knowledge of sampling to comparing populations. How data relates to other populations helps us understand our world better.

Let's go over our final assignment for the course!

Greetings Students!

I will be your online math instructor for Grade 7 Math. This course covers all the content that is normally taught when learning mathematics in the seventh grade. The target audience is for 7th grade students who have received 6th grade math instruction.

**Course Goal: **This course is designed to prepare you for Algebra, operating on numbers and applying those skills to real-world situations. A part of my course is designed around communicating mathematics. Some of the questions in my worksheets do not have only one answer, but rather are open-ended so you share your thinking with classmates, parents, or guardians. It is my hope that you not only become more proficient in operating on numbers, but also deep thinkers about the work and be able to communicate your learning. These skills are more important now than ever before.

**This course includes:**

5 Units

39 Lesson Videos

39 Worksheets

39 Review Videos for Worksheets (I go over each worksheet answer one by one)

13 Quizzes

**Unit Topics**

Unit 1 - Ratios & Proportions

Section 1: Ratios

Section 1 Quiz

Section 2: Unit Rates

Section 2 Quiz

Section 3: Proportional Representation

Section 3 Quiz

Unit 2 - Rational Numbers

Section 1: Adding/Subtracting Rationals

Section 1 Quiz

Section 2: Multiplying/Dividing Rationals

Section 2 Quiz

Unit 3 - Expression and Equations

Section 1: Expressions

Section 1 Quiz

Section 2: Percentages

Section 2 Quiz

Section 3: Equations

Section 3 Quiz

Section 4: Inequalities

Section 4 Quiz

Unit 4 – Geometry

Section 1: Scaling & Angles

Section 1 Quiz

Section 2: Area & Volume of Shapes

Section 2 Quiz

Unit 5 - Statistics & Probability

Section 1: Theoretical & Experimental Probalities

Section 1 Quiz

Section 2: Sampling/Populations

Section 2 Quiz

Thank you very much and good luck!

Mr. Mike

- Teacher: Michael
- Areas of expertise: Mathematics & Statistics
- Education: B.A. in Mathematics, UC Berkeley M.A. in Mathematics, San Francisco State University
- Interests: Playing music, cooking, spending time with my family (2 kids)
- Skills: Developing Digital Math Learning experiences. Microsoft Excel
- Associations: California Teaching Association
- Issues I care about: Caring for our environment; ensuring all kids learn about about mathematics.

I have been teaching and working with kids for over 8 years. I have a strong belief that storytelling and entertaining are vital components to being a great teacher, and I try to invoke my inner fun whenever I teach. I hope to be a communicator of mathematics for all who are interested and thank you for considering my videos.

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