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

Practice worked-out-solutions

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

Practice worked-out-solutions

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.

Practice worked-out-solutions

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

Practice worked-out-solutions

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

Practice worked-out-solutions

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

Practice worked-out-solutions

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

Practice worked-out-solutions

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

Practice worked-out-solutions

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

Practice worked-out-solutions

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

Practice worked-out-solutions

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

Practice worked-out-solutions

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

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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.

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

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

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

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

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

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

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

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

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

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

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

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

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

Practice worked-out-solutions

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

Practice worked-out-solutions

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

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

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

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

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

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

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

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

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

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

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

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

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In the Lesson, students will find volumes of spheres.

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

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

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

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

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

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

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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.

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

practice worked-out-solutions

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

practice worked-out-solutions

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

practice worked-out-solutions

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

practice worked-out-solutions

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

practice worked-out-solutions

**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**

**Equations**- Solving Simple Equations
- Solving Multi-Step Equations
- Solving Equations with Variables on both sides
- Rewriting Equations and Formulas (Literal Equations)

**Transformations**- Congruent Figures
- Translations
- Reflections
- Rotations
- Similar Figures
- Perimeters & Areas of Similar Figures
- Dilations

**Angles and Triangles**- Parallel Lines & Transversals
- Angles of Triangles
- Angles of Polygons
- Using Similar Triangles

**Graphing & Writing Linear Equations**- Graphing Linear Equations
- Slope of a Line
- Graphing Proportional Relationships
- Graphing Linear Equations in Slope-Intercept Form
- Graphing Linear Equations in Standard Form
- Writing Equations in Slope-Intercept Form
- Writing Equations in Point-Slope Form

**Systems of Linear Equations**- Solving Systems of Linear Equations by Graphing
- Solving Systems of Linear Equations by Substitution
- Solving Systems of Linear Equations by Elimination
- Solving Special Systems of Linear Equations

**Functions**- Relations as Functions
- Representations of Functions
- Linear Functions
- Comparing Linear & Non-Linear Functions.

**Real Numbers & Pythagorean Theorem**- Finding Square Roots
- Finding Cube Roots
- The Pythagorean Theorem
- Approximating Square Roots
- Using The Pythagorean Theorem (Distance Formula)

**Volume & Similar Solids**- Volumes of Cylinders
- Volume of Cones
- Volume of Spheres
- Surface Area & Volume of Similar Solids

**Data Analysis**- Scatter Plots
- Lines of Fit
- Two-Way Tables
- Choosing a Data Display

**Exponents & Scientific Notation**- Exponents
- Product of Powers Property
- Quotient of Powers Property
- Zero and Negative Exponents
- Reading Scientific Notation
- Writing Scientific Notation
- 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

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.