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Pythagorean Theorem Worksheet

48 pythagorean theorem worksheet with answers [word + pdf].

The simplicity of the Pythagorean Theorem worksheet is the best thing about it. What is the Pythagorean Theorem? Formulated in the 6th Century BC by Greek Philosopher and mathematician Pythagoras of Samos, Pythagorean Theorem is a mathematic equation used for a variety of purposes. Over the years, many engineers and architects have used Pythagorean Theorem worksheet to complete their projects .

Table of Contents

• 1 Pythagorean Theorem Worksheet
• 2 Knowing Pythagoras of Samos and how he came up with the Pythagorean equation
• 3 Understanding Pythagorean Theorem
• 4 Pythagorean Theorem Word Problems Worksheet
• 5 Using Pythagorean Theorem worksheet
• 6 Conclusion

A simple equation, Pythagorean Theorem states that the square of the hypotenuse (the side opposite to the right angle triangle) is equal to the sum of the other two sides . Following is how the Pythagorean equation is written:

In the aforementioned equation, c is the length of the hypotenuse while the length of the other two sides of the triangle are represented by b and a. Though the knowledge of the Pythagorean Theorem predates the Greek Philosopher, Pythagoras is generally credited for bringing the equation to the fore. This is the reason the Pythagorean equation is named after him. Before we discuss the Pythagorean Theorem and the Pythagorean Theorem worksheet in detail, let’s take a look at who Pythagoras of Samos was and how he came up with the Pythagorean equation.

Knowing Pythagoras of Samos and how he came up with the Pythagorean equation

A 6 th century BC Greek philosopher and mathematician, Pythagoras of Samos is widely credited for bringing the Pythagorean equation to the fore. Though others used the relationship long before his time, Pythagoras is the first one who made the relationship between the lengths of the sides on a right-angled triangle public. This is why he’s regarded as the inventor of the Pythagorean equation.

Apart from being a philosopher and mathematician, Pythagoras founded the Pythagoreanism movement. Born in Croton, Italy, Pythagoras travelled to many different countries including Greece, Egypt, and India. After moving back to Croton in 530 BC, Pythagoras established some kind of school. He returned to Samos in 520 BC. It was in late 6 th Century BC that Pythagoras started to make important contributions to philosophy and math. The Pythagorean equation was one of those contributions.

Though he revealed the Pythagorean equation to the world in the late 6 th Century BC while living in Samos, many historians believe that Pythagoras first thought about the equation during his time in Egypt. In fact, according to many historians, Pythagoras learned geometry, the Phoenicians arithmetic and other branches of mathematics from the Egyptians.

Though he has made many important contributions to philosophy, Pythagoras is widely known as the founder of the Pythagorean Theorem. As previously mentioned, the Pythagorean Theorem is a mathematical equation that states that the square of the hypotenuse (the side opposite to the right angle triangle) is equal to the sum of the other two sides .

Today the aforementioned equation bears Pythagoras’s name but it’s important to know that he wasn’t the first one to use the equation. Before Pythagoras’s time, the Indians and the Babylonians utilized the Pythagorean Theorem or equation. Since they constructed the first proof of the theorem, Pythagoras and his disciples are regarded as the inventors of the equation.

Many historians say that Pythagoras worked in a very secretive manner. This is the reason little evidence is available that the Greek Philosopher/ mathematician himself worked on and proved the Pythagorean Theorem. It is important to note that the first time Pythagoras was given credit for the Theorem was five centuries after his death. This makes Pythagoras’s contribution to the Theorem even more debatable. Nonetheless, since Pythagoras is the only one connected to the Pythagorean Theorem known today, we have to give him due credit. Now that we’ve discussed who Pythagoras of Samos was and how he came up with the Pythagorean equation, it’s time to take a detailed look at the Pythagorean Theorem and the Pythagorean Theorem worksheet.

Understanding Pythagorean Theorem

According to Pythagorean Theorem, the sum of the squares on the right-angled triangle’s two smaller sides is equal to the side opposite to the right angle triangle (the square on hypotenuse). Using a Pythagorean Theorem worksheet is a good way to prove the aforementioned equation. An amazing discovery about triangles made over two thousand years ago, Pythagorean Theorem says that when a triangle has a 90° angle and squares are made on each of the triangle’s three sides, the size of the biggest square is equal to the size of the other two squares put together! A short equation, Pythagorean Theorem can be written in the following manner:

In Pythagorean Theorem, c is the triangle’s longest side while b and a make up the other two sides. The longest side of the triangle in the Pythagorean Theorem is referred to as the ‘hypotenuse’. Many people ask why Pythagorean Theorem is important. The answer to this is simple: you’ll be able to find the length of a right-angled triangle’s third side if you know the length of the other two sides. This equation works like magic and can be used to find any missing value. Following is an example that uses the Pythagorean Theorem to solve a triangle.

In this equation, the longest side of the triangle ‘c’ is missing. By finding out the sum of the squares of the two other sides, we were able to find the missing value. The most famous mathematical contribution of Pythagoras, the Pythagoras Theorem was one of the earliest documented theorems. Though Pythagoras is given most of the credit for the theorem, a major contribution to the theorem was made by his students.

When you look at a Pythagoras Theorem worksheet, you’ll notice that the theorem enables you to find the length of any right angle triangle side provided you know the length of the other two sides. Also, using the theorem, you can check whether a triangle is a right triangle. The Pythagoras Theorem is extremely useful in solving many math problems. Further, you can use it in many real life situations. This is illustrated by a Pythagoras Theorem worksheet.

Pythagorean Theorem Word Problems Worksheet

Using Pythagorean Theorem worksheet

A good way to review the Pythagoras Theorem and expand the mathematical equation is using a Pythagoras Theorem worksheet. By using the worksheet, you’ll be able to get a good understanding of geometry. Additionally, the worksheet will give you an opportunity to review the knowledge related to the different types of triangles. Finally and most importantly, you’ll be able to practice the ancient equation invented by the Greek mathematician and philosopher, Pythagoras. Before you start using the Pythagoras Theorem worksheet, just remember that ‘c’ is the hypotenuse while the shorter sides of the triangle are represented by ‘a’ and ‘b’.

A Pythagoras Theorem worksheet presents students with triangles of various orientations and asks them to identify the longest side of the triangle i.e. the hypotenuse. As you know by now, the formula used in Pythagoras Theorem is a²+b²=c². Regardless of what the worksheet asks the students to identify, the formula or equation of the theorem always remain the same. Though, the students could be presented with different challenges including solving triangles:

• Labeled in different order
• With a different set of letters
• By using vertices to name the sides

The symbols used in the Pythagoras Theorem are something students will find on their calculators. Figuring out how to use these functions is what students need to establish. There is involvement of the Babylonians and the Egyptians in the invention of the Pythagoras Theorem but the earliest known proof of the theorem was produced by the school of Pythagoras.

Many Pythagorean triples were known to the Babylonians while the Egyptians knew and used the (3, 4, 5) triple. The Chinese and Indians also played a role in the invention of the Pythagoras Theorem. The first diagrammatic proof of the theorem was produced by the Chinese while the Indians discovered many triples. In 1995, the theorem became part of the Guinness Book of Records as the most proved theorem of all time.

The triples used in the Pythagoras Theorem include (3, 4, 5), (6, 8, 10), (5, 12, 13), (8,15,17), (7,24,25), (20,21,29), (12,35,37), (9,40,41), (28,45,53), (11,60,61), (16,63,65), (33,56,65) and (48,55,73). The aforementioned triples aren’t multiples of a smaller triple and the name given to them is ‘primitive’ triples. To solve a particular problem, the Pythagoras Theorem can be arranged. For example, if you’re asked to find b which is one of the two smaller sides of the right-angled triangle, you can rearrange the theorem to b²=c²-a². By doing this, you’ll be able to easily find the missing value.

The Pythagoras Theorem has many different proofs. However, when checking your answers, following are the two things that you must always remember:

• The side opposite to the right angle or simply the hypotenuse is always the longest side of the triangle
• Though it is the longest side of the triangle, the size of the hypotenuse can never exceed the sum of the other two squares

To understand this better, take a look at a Pythagoras Theorem worksheet. Today, you can get easy access to Pythagorean Theorem worksheet with answers. Nonetheless, we’re going to try and understand the Pythagoras Theorem as much as we can.

As mentioned earlier, if you know the size of the other two sides, you will be able to find out the length of the third side of the right angle triangle. Also, after being squared, the shorter length is subtracted from the square of the hypotenuse when the hypotenuse is one of the two known lengths. As seen earlier, the lengths of each side of the triangle in the Pythagoras Theorem are whole numbers. Such triangles are known as Pythagorean triangles.

Though there are many different proofs of the Pythagoras Theorem, only three of them can be constructed by students and other people on their own. The first proof starts off as rectangle and is then divided into three triangles that individually contain a right angle. To see first proof, you can use a computer or something as straight forward as an index card cut up into right triangles.

Beginning with a rectangle, the second proof of the Pythagoras Theorem starts off by constructing rectangle CADE with BA=DA. This is followed by the construction of the <BAD’s angle bisector. Once constructed, the bisector is allowed to intersect ED at point F. This makes <BAF and <DAF congruent, BA=DA, and AF=AF. This in turn makes the triangle DAF equal to triangle BAF which means that since ADF is a right angle, ABF will also be a right angle. The third and final proof of the Pythagorean Theorem that we’re going to discuss is the proof that starts off with a right angle. In this proof, triangle ABC is right angle and its right side is angle C.

The three proofs stated above are just few of the many Pythagoras Theorem. You’ll come across these proofs when you take a look at the Pythagorean Theorem worksheet with answers. Learning and understanding the Pythagorean concept is extremely important for students and other people who’ll use this theorem in their practical life.

It is important that you understand the algebraic representation of the Pythagoras Theorem as well as the geometric concepts behind it. You can accomplish this by using proofs, manipulatives, and computer technology. By using these methods to learn Pythagorean Theorem, you’ll be able to see the connections and benefit greatly.

Formulated in the 6th Century BC by Pythagoras of Samos, Pythagoras Theorem is widely used today. If you want to practice Pythagoras Theorem then you can do that easily. Pythagoras Theorem worksheets with answers are easily available and you can use these worksheets to get a good grip of the Theorem.

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Unit 8 – The Pythagorean Theorem

The Pythagorean Theorem

LESSON/HOMEWORK

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LESSON VIDEO

EDITABLE LESSON

EDITABLE KEY

SMART NOTEBOOK

The Pythagorean Theorem and Its Converse

Applying the Pythagorean Theorem

Distance in the Coordinate Plane

Understanding the Pythagorean Theorem

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Unit 8 Assessment Form B

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Unit 8 Mid-Unit Quiz – Form A

Unit 8 Mid-Unit Quiz – Form B

U08.AO.01 – Practice with the Pythagorean Theorem and Its Converse

EDITABLE RESOURCE

U08.AO.02 – Practice Finding Distance in the Coordinate Plane

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Pythagorean Theorem Exercises

Pythagorean theorem practice problems with answers.

There are eight (8) problems here about the Pythagorean Theorem for you to work on. When you do something a lot, you get better at it. Let’s get started!

Here’s the Pythagorean Theorem formula for your quick reference.

Note: drawings not to scale

Problem 1: Find the value of [latex]x[/latex] in the right triangle.

[latex]10[/latex]

Problem 2: Find the value of [latex]x[/latex] in the right triangle.

[latex]4\sqrt 7 [/latex]

Problem 3: Find the value of [latex]x[/latex] in the right triangle.

[latex]3[/latex]

Problem 4: The legs of a right triangle are [latex]5[/latex] and [latex]12[/latex]. What is the length of the hypotenuse?

[latex]13[/latex]

Problem 5: The leg of a right triangle is [latex]8[/latex] and its hypotenuse is [latex]17[/latex]. What is the measure of its other leg?

[latex]15[/latex]

Problem 6: Suppose the shorter leg of a right triangle is [latex]\sqrt 2[/latex]. The longer leg is twice the shorter leg. Find the hypotenuse.

[latex]\sqrt {10} [/latex]

Problem 7: The hypotenuse of a right triangle is [latex]4\sqrt 2[/latex]. If the longest leg is half the hypotenuse, what is the length of the shortest leg?

[latex]2\sqrt 6[/latex]

Problem 8: Find the value of [latex]x[/latex] of the right isosceles triangle.

[latex]\sqrt 6[/latex]

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Eureka Math Grade 8 Module 3 Lesson 13 Answer Key

Engage ny eureka math 8th grade module 3 lesson 13 answer key, eureka math grade 8 module 3 lesson 13 exercise answer key.

Exercises Use the Pythagorean theorem to determine the unknown length of the right triangle.

Exercise 1. Determine the length of side c in each of the triangles below.

15 2 +|TS| 2 =25 2 225+|TS| 2 =625 225-225+|TS| 2 =625-225 |TS| 2 =400 |TS|=20 Since |QT|+|TS|=|QS|, then the length of side \(\overline{Q S}\) is 8+20, which is 28.

Eureka Math Grade 8 Module 3 Lesson 13 Exit Ticket Answer Key

Then, determine the length of side \(\overline{C D}\). 12 2 +CD 2 =13 2 144+CD 2 =169 CD 2 =169-144 CD 2 =25 CD=5 Adding the lengths of sides \(\overline{B C}\) and \(\overline{C D}\) determines the length of side \(\overline{B D}\); therefore, 5+9=14. \(\overline{B D}\) has a length of 14.

Eureka Math Grade 8 Module 3 Lesson 13 Problem Set Answer Key

Students practice using the Pythagorean theorem to find unknown lengths of right triangles.

Use the Pythagorean theorem to determine the unknown length of the right triangle.

Question 5. What did you notice in each of the pairs of Problems 1–4? How might what you noticed be helpful in solving problems like these? Answer: In each pair of problems, the problems and solutions were similar. For example, in Problem 1, part (a) showed the sides of the triangle were 6, 8, and 10, and in part (b), they were 0.6, 0.8, and 1. The side lengths in part (b) were a tenth of the value of the lengths in part (a). The same could be said about parts (a) and (b) of Problems 2–4. This might be helpful for solving problems in the future. If I am given side lengths that are decimals, then I could multiply them by a factor of 10 to make whole numbers, which are easier to work with. Also, if I know common numbers that satisfy the Pythagorean theorem, like side lengths of 3, 4, and 5, then I recognize them more easily in their decimal forms, that is, 0.3, 0.4, and 0.5.

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Glencoe MATH Course 3, Volume 2

1st Edition

McGraw-Hill

ISBN: 9780076619047

Textbook solutions

Chapter 5 :.

Section 5-1 :

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Section 6-4 :

Chapter 7 :

Section 7-1 :

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Section 7-7 :

Chapter 8 :

Section 8-1 :

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Section 8-3 :

Section 8-4 :

Section 8-5 :

Section 8-6 :

Chapter 9 :

Section 9-1 :

Section 9-2 :

Section 9-3 :

Section 9-4 :

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Section 9-6 :

At Quizlet, we’re giving you the tools you need to take on any subject without having to carry around solutions manuals or printing out PDFs! Now, with expert-verified solutions from Glencoe MATH Course 3, Volume 2 1st Edition, you’ll learn how to solve your toughest homework problems. Our resource for Glencoe MATH Course 3, Volume 2 includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence.

The Pythagorean Theorem

20 Pythagorean Theorem Worksheet with Answers (Word & PDF)

If you are familiar with the Pythagorean Theorem, then you know that it is one of the simplest and most useful tools in geometry. The theorem was formulated by Pythagoras of Samos, a Greek mathematician, and philosopher, in the 6th century. Today, it has many applications in different areas of study, from simple elementary and high school geometry to complex engineering and architecture calculations. Below, we take a closer look at the theorem and how you can master it through a worksheet.

What Is a Pythagorean Theorem Worksheet?

Simply put, the Pythagorean Theorem states that the square of the longest side of a right angle (the hypotenuse) is equal to the sum of the squares of the other two sides. A Pythagorean Theorem Worksheet is a workbook containing different triangle orientations requiring a student to fill in the missing values using the Pythagorean Theorem. It is a great study tool for geometry students.

Pythagorean Theorem Worksheet Templates & Examples

Understanding How Pythagoras of Samos Came Up with the Pythagorean Equation

Pythagoras of Samos was a Greek mathematician and philosopher of the 6th century who is widely credited with bringing the Pythagorean Theorem to the attention of the public. While there are other people who used the Pythagorean equation earlier than Pythagoras – most notably the Egyptians – he was the first person to make the connection between the lengths of a right angle triangle’s sides public. This explains why he is widely recognized as the originator and inventor of the equation and why it is named after him – the Pythagorean Equation.

Pythagoras of Samos shared information about the Pythagorean equation with the world in the late 6th century when he resided in Samos. However, many historians maintain that he first made the discovery during his visit to Egypt, where historians believe he learned several branches of mathematics, including Phoenicians arithmetic and geometry.

According to Historians, Pythagoras was very secretive about his work. There is very limited evidence that he even worked on the Theorem or proved it, and credit is often given to his students. Additionally, Pythagoras of Samos was only credited with proving the Theorem over 5 centuries after his demise – the fact that fuels a lot of debate on whether he was behind the theorem at all.

That said, however, Pythagoras of Samos is the most popular figure connected to the Pythagorean Theorem as it is known today. Therefore, it is only fair to give him credit for this amazing equation that has grown to have numerous real-life applications.

Understanding Pythagorean Theorem

As mentioned, the Pythagorean Theorem states that, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two shorter sides. The theorem basically says that if you make squares on each side of a triangle with a 90° angle, the two smaller squares put together will be the same size as the largest square.

The Pythagorean Theorem can be represented mathematically as follows:

a² + b² = c²

Here, c represents the length of the hypotenuse (the longest side), while b and a are the lengths of the other two sides. From the equation, you can easily find the value of one side if you have the values of the other two. Here is an example to demonstrate:

Q. Consider a right-angled triangle with a base of 3cm and a height of 4cm. What is the hypotenuse of the triangle?

A: Using the Pythagorean Theorem to solve, we can assign the base ‘a’ and the height ‘b.’ Substituting in the equation, we have:

a² + b² = c² 3² + 4² = c² 9 + 16 = c² 25 = c² c = √25 c = 5

The hypotenuse of the triangle is 5 cm long.

As you can see, the hypotenuse was missing from the equation, and we used the relation to find its value. Such questions can be framed differently so that you either have to calculate the value of the base or height. All you have to do is use the Pythagorean Theorem to substitute the missing value. Additionally, you can use the equation to determine whether a triangle is a right triangle.

How to Use Pythagorean Theorem Worksheet

The Pythagorean Theorem Worksheet is an excellent way to expand your understanding of the Pythagorean Theorem. As you use the worksheet, it is important to remember that ‘a’ and ‘b’ represent the shorter lengths on the triangle while c represents the hypotenuse, which is the longest side.

Pythagoras Theorem worksheets present you with different triangle orientations from which you must determine the value of the missing side. This could be the base, height, or hypotenuse. Regardless of the value you are asked to find; you can use the formula (a²+b²=c²) to solve for the answer. Remember, you can rearrange the equation, but it never changes. Several variations you could use include:

a² + b² = c² (standard) a² = c² – b² (finding the value of a) b² = c² – a² (finding the value of b)

Because the worksheet is designed to help familiarize you with the Pythagorean Theorem, the practice questions can be arranged differently to create a challenge. Some examples include:

• Questions using a different set of letters, e.g. (q, r, s) or (x, y, z)
• A question where the triangle sides are labeled in a different order.
• Questions where the sides are named as vertices.

You can also use the worksheet to prove the Pythagorean Theorem and determine whether a triangle is right-angled. As you check your answers, you should always remember:

• The hypotenuse is the longest side of the triangle and the side opposite to the 90° angle.
• While it is the longest side of the triangle, its size can never surpass the sum of the squares of the other 2 sides.

Pythagoras of Samos formulated the Pythagorean Theorem in the 6th century and, since then, it has been applied to several areas of Mathematics and Geometry. Students can use a Pythagorean Theorem Worksheet to understand the theorem and apply it to solving different questions. Depending on the student’s needs, some of these worksheets have answers, but you can set these pages aside and use them to confirm your answers.

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Pythagorean Theorem Unit 8th Grade TEKS

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An 8 day Pythagorean Theorem TEKS-Aligned complete unit including: the Pythagorean Theorem, the Pythagorean Theorem converse, Pythagorean Theorem application.

Students will practice with both skill-based problems, real-world application questions, and error analysis to support higher level thinking skills.  You can reach your students and teach the standards without all of the prep and stress of creating materials!

Standards:   TEKS: 8.6C, 8.7C, 8.7D;  Looking for CCSS-Aligned Resources?  Grab the Pythagorean Theorem CCSS-Aligned Unit.  Please don’t purchase both as there is overlapping content.

Learning Focus:

• use the pythagorean theorem and its converse to solve problems
• use models of the pythagorean theorem
• determine the distance between points on a coordinate plane using the pythagorean theorem

What is included in the 8th grade teks pythagorean theorem unit?

1. Unit Overviews

• Streamline planning with unit overviews that include essential questions, big ideas, vertical alignment, vocabulary, and common misconceptions.
• A pacing guide and tips for teaching each topic are included to help you be more efficient in your planning.

2. Student Handouts

• Student-friendly guided notes are scaffolded to support student learning.
• Available as a PDF and the student handouts/homework/study guides have been converted to Google Slides™ for your convenience.

3. Independent Practice

• Daily homework is aligned directly to the student handouts and is versatile for both in class or at home practice.

4. Assessments

• 1-2 quizzes, a unit study guide, and a unit test allow you to easily assess and meet the needs of your students.
• The Unit Test is available as an editable PPT, so that you can modify and adjust questions as needed.

5. Answer Keys

• All answer keys are included.

***Please download a preview to see sample pages and more information.***

How to use this resource:

• Use as a whole group, guided notes setting
• Use in a small group, math workshop setting
• Chunk each student handout to incorporate whole group instruction, small group practice, and independent practice.
• Incorporate our  Pythagorean Theorem Activity Bundle  for hands-on activities as additional and engaging practice opportunities.

Time to Complete:

• Each student handout is designed for a single class period. However, feel free to review the problems and select specific ones to meet your student needs. There are multiple problems to practice the same concepts, so you can adjust as needed.

Is this resource editable?

• The unit test is editable with Microsoft PPT. The remainder of the file is a PDF and not editable.

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Unit 8: Pythagorean theorem and irrational numbers

Lesson 2: side lengths and areas.

• Square roots of perfect squares (Opens a modal)
• Square roots Get 5 of 7 questions to level up!
• Roots of decimals & fractions Get 3 of 4 questions to level up!

Lesson 3: Rational and irrational numbers

• Intro to rational & irrational numbers (Opens a modal)
• Classifying numbers: rational & irrational (Opens a modal)
• Classify numbers: rational & irrational Get 5 of 7 questions to level up!

Lesson 4: Square roots on the number line

• Approximating square roots to hundredths (Opens a modal)
• Comparing irrational numbers with a calculator Get 5 of 7 questions to level up!

Lesson 5: Reasoning about square roots

• Approximating square roots (Opens a modal)
• Approximating square roots walk through (Opens a modal)
• Approximating square roots Get 3 of 4 questions to level up!

Extra practice: Irrational numbers

• Classifying numbers (Opens a modal)
• Classifying numbers review (Opens a modal)
• Comparing irrational numbers Get 5 of 7 questions to level up!

Lesson 6: Finding side lengths of triangles

• Intro to the Pythagorean theorem (Opens a modal)
• Use area of squares to visualize Pythagorean theorem Get 3 of 4 questions to level up!

Lesson 7: A proof of the Pythagorean Theorem

• Bhaskara's proof of the Pythagorean theorem (Opens a modal)

Lesson 8: Finding unknown side lengths

• Pythagorean theorem example (Opens a modal)
• Pythagorean theorem intro problems (Opens a modal)
• Use Pythagorean theorem to find right triangle side lengths Get 5 of 7 questions to level up!

Lesson 9: The converse

• No videos or articles available in this lesson
• Right triangle side lengths Get 3 of 4 questions to level up!

Lesson 10: Applications of the Pythagorean Theorem

• Pythagorean theorem word problem: carpet (Opens a modal)
• Pythagorean theorem word problem: fishing boat (Opens a modal)
• Pythagorean theorem word problems Get 3 of 4 questions to level up!

Extra practice: Pythagorean theorem

• Pythagorean theorem proof using similarity (Opens a modal)
• Another Pythagorean theorem proof (Opens a modal)
• Pythagorean theorem in 3D Get 3 of 4 questions to level up!

Lesson 11: Finding distance in the coordinate plane

• Use Pythagorean theorem to find perimeter Get 3 of 4 questions to level up!
• Distance between two points Get 5 of 7 questions to level up!

Lesson 12: Edge lengths and volumes

• Dimensions of a cube from its volume (Opens a modal)
• Cube roots Get 5 of 7 questions to level up!

Extra practice: Square roots and cube roots

• Equations with square roots & cube roots Get 3 of 4 questions to level up!
• Equations with square roots: decimals & fractions Get 3 of 4 questions to level up!
• Square and cube challenge Get 3 of 4 questions to level up!

Lesson 14: Decimal representations of rational numbers

• Converting a fraction to a repeating decimal (Opens a modal)
• Writing fractions as repeating decimals review (Opens a modal)
• Writing fractions as repeating decimals Get 5 of 7 questions to level up!

Lesson 15: Infinite decimal expansions

• Converting repeating decimals to fractions (part 1 of 2) (Opens a modal)
• Converting repeating decimals to fractions (part 2 of 2) (Opens a modal)
• Writing repeating decimals as fractions review (Opens a modal)
• Converting repeating decimals to fractions Get 5 of 7 questions to level up!
• Converting multi-digit repeating decimals to fractions Get 3 of 4 questions to level up!