Unit Plan
Sophia Learning

Sophia: Multiplication Is Associative

For Students 6th - 8th
This video lesson defines and provides examples of the associative property of multiplication. Students can check their understanding with an assessment.
Unit Plan
Sophia Learning

Sophia: Multiplication Rule With Negative Exponents

For Students 6th - 8th Standards
The video lesson examines how to multiply exponents with the same base. Students watch detailed examples to learn about the mathematics concepts.
Unit Plan
Sophia Learning

Sophia: Multiplying Fractions

For Students 6th - 8th
Students review how to multiply two fractions in this lesson. The video tutorial consists of examples that explore how to multiply fractions and a quiz is provided to test students' knowledge of the skill.
Unit Plan
Sophia Learning

Sophia: Multiplying Radical Expressions With the Distributive Property

For Students 9th - 10th
The mathematics resource consists of an overview of how to multiply radical expressions with the distributive property. A detailed example and practice problems with solutions are included.
Unit Plan
Sophia Learning

Sophia: Multiplying Radical Expressions With the Distributive Property

For Students 9th - 10th
Students learn how to use the distributive property to multiply radical expressions. Detailed examples are provided that show the process.
Unit Plan
Sophia Learning

Sophia:multiplying With Decomposition

For Students 6th - 8th
The video lesson examines multiplying using decomposition. Detailed examples investigate the multiplication technique.
Unit Plan
Sophia Learning

Sophia: Mutually Exclusive

For Students 9th - 10th
Explore what a mutually exclusive event is and when it can happen. Assess learning with a quiz.
PPT
Sophia Learning

Sophia: Null Set / Empty Set

For Students 9th - 10th
This video lesson defines the phrase null or empty set. Students can check their understanding with an assessment.
Unit Plan
Sophia Learning

Sophia: Ordering Fractions and Decimals

For Students 6th - 8th
This video tutorial reviews how to order fractions and decimals by converting the numbers to either all fractions or all decimals. It includes detailed examples.
Unit Plan
Sophia Learning

Sophia: Perimeter

For Students 6th - 8th
This video tutorial defines and provides examples of perimeter.
Unit Plan
Sophia Learning

Sophia: Planar Objects Have Only Two Dimensions

For Students 9th - 10th
Explore why objects drawn on a plane are two dimensional in this video tutorial. [4:57] Take a quiz to assess learning.
PPT
Sophia Learning

Sophia: Practical Applications of the Bell Shaped Curve

For Students 9th - 10th Standards
Explore the bell-shaped curve and how to calculate a z score. Additional links provided to further knowledge on outliers.
Unit Plan
Sophia Learning

Sophia: Product Property of Radicals

For Students 9th - 10th Standards
Explore how to solve radical equations using the product property of radicals. Check for understanding with a quiz.
Unit Plan
Sophia Learning

Sophia: Properties of Equality

For Students 9th - 10th
This video lesson reviews the properties of equality and demonstrates how to use them to solve equations. Students can check their understanding with an assessment.
Unit Plan
Sophia Learning

Sophia: Relating Miles Cubed and Kilometers Cubed

For Students 6th - 8th
Students learn how to convert between cubed miles and cubed kilometers. Definitions and an example are included in the video lesson.
Unit Plan
Sophia Learning

Sophia: Similarity

For Students 9th - 10th Standards
This learning tutorial describes the characteristics of similar figures and how to use scale factor and proportions to determine missing side lengths. The lesson includes PowerPoint presentations and videos demonstrating how to solve...
Unit Plan
Sophia Learning

Sophia: Simplifying Radical Expressions

For Students 9th - 10th
This video lesson demonstrates how to simplify radical expressions by rationalizing the denominator. The tutorial includes detailed examples.
Unit Plan
Sophia Learning

Sophia: Solving for Quadratic Equations

For Students 9th - 10th
Solve for x using the quadratic formula and complete practice problems. Assess learning with a quiz.
Activity
Sophia Learning

Sophia: Standard Deviation

For Students 9th - 10th Standards
Students learn how to calculate the standard deviation by hand. Detailed examples that explore how to use the standard deviation formula are included.
PPT
Sophia Learning

Sophia: Subtracting Fractions From Mixed Numbers

For Students 4th - 7th
This lesson examines how to subtract fractions from mixed numbers. A detailed example is included in the video lesson.
PPT
Sophia Learning

Sophia: Subtracting Mixed Numbers From Fractions

For Students 4th - 7th
The lesson investigates how to subtract mixed numbers from fractions. A detailed example is included in the video lesson.
Unit Plan
Sophia Learning

Sophia: Surface Area

For Students 6th - 8th
Surface area is introduced in this video lesson. The tutorial provides a definition and several examples of surface area.
Unit Plan
Sophia Learning

Sophia: Surface Area of Prisms

For Students 9th - 10th
Surface area is defined and how to determine the surface area of a prism is explored.
Activity
Sophia Learning

Sophia: Systems of Linear Inequalities in the Real World

For Students 9th - 10th Standards
The video lesson explores an example of how systems of linear inequalities can be applied in the real world.