Instructional Video
Sophia Learning

Sophia: Proving Lines Are Tangent to Circles

9th - 10th Standards
Prove a line is tangent to a circle by using the converse of the Pythagorean theorem. Take a quiz to assess learning.
Instructional Video
Sophia Learning

Sophia: Proving Lines Perpendicular With Adjacent Congruent Angles

9th - 10th Standards
If lines are perpendicular then two intersecting lines form adjacent angles. Assess learning with a quiz.
Instructional Video
Sophia Learning

Sophia: Pythagorean Theorem and Right Triangles

9th - 10th Standards
Determine if the Pythagorean theorem can be used with triangles that are not right triangles. Assess learning with a quiz.
Instructional Video
Sophia Learning

Sophia: Pythagorean Theorem Proof

9th - 10th Standards
Prove the Pythagorean theorem and take a quiz to assess learning.
Instructional Video
Sophia Learning

Sophia: Quadratic Equations With One Solution

9th - 10th
The mathematics resource includes a video tutorial about quadratics. The lesson discusses how to identify from the graph of a quadratic equation when there is only one real solution.
Instructional Video
Sophia Learning

Sophia: Quadratic Equations With One Solution

9th - 10th
Use a graph to recognize when there is only one real solution of a quadratic equation. Assess learning with a quiz.
Instructional Video
Sophia Learning

Sophia: Quadratic Functions Are Nonlinear

9th - 10th Standards
Quadratic functions are nonlinear functions that create parabolas when graphed.
Instructional Video
Sophia Learning

Sophia: Quadrilateral

9th - 10th
Quadrilateral is defined and examples are given in this video tutorial. [2:23] Check understanding with a quiz.
Instructional Video
Sophia Learning

Sophia: Quadrilateral

9th - 10th
In this video tutorial [1:54], explore the term quadrilateral and what objects are defined as quadrilaterals. Take quiz to check understanding.
Instructional Video
Sophia Learning

Sophia: Quadrilateral

6th - 8th
In this video tutorial [4:00], define the term quadrilateral and what shapes are considered to be quadrilaterals. Take quiz to assess learning.
Instructional Video
Sophia Learning

Sophia: Quadrilaterals and Triangles

9th - 10th
In this video tutorial [4:17], students will explore the attributes that triangles and quadrilaterals have and how they share certain properties. Assess learning with a quiz.
Instructional Video
Sophia Learning

Sophia: Quadrilaterals and Triangles

9th - 10th
This video lesson [4:55] describes the characteristics that quadrilaterals and triangles have in common. Students can check their understanding with an assessment.
Instructional Video
Sophia Learning

Sophia: Quotient of a Power Property for Exponents

6th - 8th Standards
Using the quotient of a power property to simplify exponents is reviewed in this algebra resource. Students watch a video that includes examples.
Instructional Video
Sophia Learning

Sophia: Quotient of a Power Property for Exponents

9th - 10th
Students watch a video lesson that demonstrates how to use the quotient of powers property for simplifying problems involving exponents. The tutorial includes detailed examples.
Instructional Video
Sophia Learning

Sophia: Rates of Change on Graphs

9th - 10th Standards
Explore how to interpret and graph rates of change. Assess learning with a quiz.
Instructional Video
Sophia Learning

Sophia: Rates of Change on Graphs

9th - 10th Standards
Understand rate of change and how it is interpreted and represented on a graph. Assess learning with a quiz.
Instructional Video
Sophia Learning

Sophia: Rationalizing the Denominator

9th - 10th
This video tutorial demonstrates how to rationalize the denominator in a fraction. The lesson includes detailed examples.
Instructional Video
Sophia Learning

Sophia: Rational Numbers

6th - 8th
The video lesson defines rational numbers. Examples are included in the tutorial.
Instructional Video
Sophia Learning

Sophia: Rational Numbers

9th - 10th Standards
Explore a rational number and what makes it rational.
Instructional Video
Sophia Learning

Sophia: Rational Numbers and Integers

9th - 10th Standards
Determine how rational numbers are related to integers, whole numbers, natural numbers, and more using a number line.
Instructional Video
Sophia Learning

Sophia: Ratio Reasoning

6th - 8th
This video lesson demonstrates how to use ratio reasoning to solve real-world math problems. The tutorial includes detailed examples.
Instructional Video
Sophia Learning

Sophia: Ratios

9th - 10th Standards
Define the term ratio and how to find and apply ratios to real world applications.
Instructional Video
Sophia Learning

Sophia: Ratios and Fractions

6th - 8th Standards
This video tutorial describes the relationship between ratios and fractions. The lesson includes detailed examples.
Instructional Video
Sophia Learning

Sophia: Ratios and Proportions

6th - 8th
Ratios and proportions are investigated in this mathematics resource. Two video lessons are provided to help students learn about the topics.