## Unit 1

Operations With Rational Numbers

*What skills do I need to have mastered to master 7th Grade Unit 1?*

Negative Numbers

Negative Numbers

- Create and Read a Number Line – Fuel the Brain

__Converting Rational Numbers__

__Properties of Rational Numbers__

- Properties of Rational Numbers – Tutor Circle

- Real Number Types and Properties – Virtual Nerd ** Multiple Tutorials Listed**

__Adding and Subtracting Positive and Negative Numbers__

- Adding Negative Numbers- Khan Academy

- Subtracting Negative Numbers– Khan Academy

- Adding and Subtracting Fractions with Negatives – Khan Academy

- Adding and Subtracting Negative Numbers with Variables– Khan Academy

- Adding and Subtracting Negative Number Word Problems – Khan Academy

__Multiplying and Dividing Positive and Negative Rational Numbers__

- Multiplying and Dividing Negative Numbers – Khan Academy

- Multiply and Divide Negative and Positive Fractions – Khan Academy

- Multiplying and Dividing with Integers – Math Planet

- Multiplying and Dividing Numbers with Different Signs – Virtual Nerd

__Absolute Value__

- Absolute Value – Khan Academy

- Absolute Value of Integers – AAA Math

- Absolute Value of Integers – AAA Math

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## Unit 2

Expressions and Equations

What do I need to know how to do to master Unit 2 for 7th grade?

- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- How to Multiply
- How to do Long Division
- Adding and Subtracting Decimals
- Multiplying Decimals
- Dividing Decimals
- Adding and Subtracting Fractions
- Multiplying and Fractions
- Dividing Fractions

Identifying and Combining Like Terms

What are like terms?

- Like Terms – Math is Fun
- How do I combine Like Terms?

Properties of Rational Numbers

*Commutative Property*

*Associative Property*

*Inverse Property*

Like Terms

Properties of Operations

*Distributive Property*

Solving Equations

*Two Step Equations*

Solve Equations with Inequalities

Word Problems: Multi-Step Equations and Inequalities

*How do I set up the word problem?*

__Rational Number Operations__

Unit 2:

__Combining Like Terms__

__Algebraic Expressions and Equations__

__Properties of Real Numbers__

__Combining Like Terms__

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## Unit 3

Ratios and Proportional Relationships

Unit 3: Ratio and Proportional Relationships

- Adding and Subtracting Integers
- Multiplying and Dividing Integers
- Adding and Subtracting Fractions
- Multiplying Fractions and Dividing Fractions
- Solving Multi-Step Equations (one step and two step)
- Order of Operations: PEMDAS
- Finding Area of Rectangles and Squares
- Finding Perimeter of Rectangles and Squares
- Characteristics of 2-D Shapes
- Characteristics of 3-D Shapes

**I can compute and use unit rates.**

*I can define and solve for unit rates.*

*I can solve rations with complex fractions.*

*I can convert units of measurements.*

- Pounds to Ounces
- Gallons, Cups, Pints, and Quarts
- Yards to Inches
- Word Problems with Unit Conversions
- Practice: Unit Conversions

**I can solve problems with proportions.**

*I can identify the Constant of Proportionality.*

*I can solve solve everyday situations with proportions.**I can solve for percent of change.*

*I can solve rate of change.*

**I can calculate percent of error.**

**I understand scale drawings.**

__Everyday Situations with Word Problems__

Word Problems: Discount, Tax, and Tip

- Discount, Tax, and Tip Word Problems – Khan Academy

Word Problems: Mark-ups and Commission

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## Unit 4

Geometry

**I can label parts of a circle. **

**I can solve for the radius, diameter, and circumference of a circle. **

**I can find the area of a circle and a semicircle. **

- Math Antics: Circles and Circumference
- Math Help: Area of a Circle
- Area of a Circle
- Khan: Area of a Circle
- Area of a Semicircle

**I can classify angles. **

**I can identify geometrical shapes. **

**I can classify types of triangles. **

**I can find the area of geometrical shapes. **

- Circle & Semicircle
- Triangles
- Regular Polygon

- Quadrilateral

**I can find the surface area of geometrical shapes.**

- Cube

- Prism

**I can find the volume of geometrical shapes. **

- Cube

- Right Prism

## Unit 5

Inferences

**I can collect data by using population sampling.**

**I can generalize representative samples. **.

**I can understand the effects of sample size.**

**I can compare two populations by creating and interpreting various graphs.**.

- Khan Academy: Comparing Data with Dot Plots
- Khan Academy: Tree Diagrams
- Class Notes: How to Create: Frequency Tables, Stem & Leaf Plots, and Line Plots
- I can create line plots.

I can create frequency charts.

I can create stem-and-leaf plots. - I can create a box-and-whisker plot. (notes)
- Youtube: How to create box-and-whisker plots
- I can calculate measures of central tendency (mean, median, and mode).

**I can draw inferences when comparing two populations. **

**I can assess the visual overlap of data when comparing two populations.**

I can analyze data with differing variations.

I can measure variance.

I can approximate accuracy of estimates and predictions.

## Unit 6

Probability

**I can describe the difference between theoretical and experimental probability**

- Theoretical vs. Experimental Probability – Khan Academy
- Making Predictions with Probability Video – Khan Academy
- Making Predictions with Probability Practice – Khan Academy
- Youtube Video: The Last Banana
- Probability Models – Khan Academy

**.I can find the sample space of compound events. **

- Class Notes: Compound Events
- Compound Events Sample Space– Khan Academy
- Compound Events Sample Space Practice – Khan Academy
- Tree Diagrams – Khan Academy
- The Counting Principle – Khan Academy

**I can find the probability of a compound event**.

- Probability of a Compound Event– Khan Academy
- Probability of Compound Events Practice – Khan Academy