Pythagorean theorem scavenger hunt answer key

Feb 7, 2020 - This scavenger hunt has 15 Pythagorean Theorem problems. In this scavenger hunt there are: Five problems finding the hypotenuse Four problems finding a missing leg Six word problemsIncluded in this product:15 question Pythagorean Theorem Scavenger Hunt Answer Key Recording Sheet For more Scavenge...

Kara made this Pythagorean Theorem Partner Scavenger Hunt activity. This new "2 truths and a lie" Pythagorean Theorem activity asks students to find errors when presented with a missing hypotenuse or missing leg lengths.SCAVENGER HUNTS are a great way to get your students up, moving around, and EXCITED about DOING MATH! They are ready-to-use, highly engaging activities that can be used as either a small group or an individual activity. Each activity consists of 12 problems that focus on a specific concept. Students select a problem from the stack, solve it on ...Apr 21, 2018 - **Updated 6/26/16** Now includes a version that is metric only!!In this engaging activity, students rotate through sixteen task cards. Each answer leads them to the next problem. Students have a recording sheet to help guide them through the activity. This is a great partner activity, but student...CCSS 8.G.B.7. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. If you need a Pythagorean Theorem word problem activity that will get your students really thinking, use these scavenger hunt style task cards.Description. This is a 12 card scavenger hunt that covers basic right triangle trigonometry. The resource includes, the cards, student answer sheet, and answer key. This is designed for a lower-level class or an activity for students who may need more practice before beginning independent work. Reported resources will be reviewed by our team. The answer key on Gina Wilson All Things Algebra offers various features that enhance the learning experience. Some notable features include: Detailed Solutions: The answer key provides comprehensive and detailed solutions to the exercises, enabling students to identify any errors and learn from them. Multiple Approaches: In many cases, the ...

To complete the Scavenger Hunt, students need a background knowledge in: 1) Pythagorean Theorem 2) Simplifying Square Roots 3) Multiplying with Square Roots 4) Pythagorean Theorem with compound shapes 5) Converse of the Pythagorean Theorem Included in this packet are 12 mathematics questions, a scavenger hunt answer sheet, …An answer key is included on slide two for the teacher to delete or move to another Google Slides before sending this assignment to students. Subjects: Math. Grades: 7 th - 9 th. ... The Pythagorean Theorem Scavenger Hunt Game gets students up and moving around while practicing math. In this game, students use the answer to one problem to find ... Aug 5, 2016 - **Updated 6/26/16** Now includes a version that is metric only!!In this engaging activity, students rotate through sixteen task cards. Each answer leads them to the next problem. Students have a recording sheet to help guide them through the activity. This is a great partner activity, but student... This scavenger hunt is great for partner work, early finishers, and as an enrichment activity. ... Distribute the student answer key to students. 3. After answering a question, students search the room. The next question they solve has the answer to the previous question they solved underneath it. ... The Pythagorean Theorem Scavenger Hunt ...Mar 14, 2024 · Pythagoras' Theorem Treasure Hunt. Subject: Mathematics. Age range: 11-14. Resource type: Worksheet/Activity. File previews. pdf, 269.37 KB. A treasure hunt activity, where students have to hunt for the next question in the loop. A good 20-30 minute paired/group task for middle-ability KS3 students or a less-able KS4 class to consoliate work on ... Title: Exploring the Pythagorean Theorem through a Scavenger Hunt. Grade Level: 8th grade. Objective: - Students will understand and apply the Pythagorean Theorem to solve problems involving right triangles. - Students will engage in a hands-on activity to reinforce their understanding of the Pythagorean Theorem. Materials: - Rulers or ...We like to think a perfect process for getting things done exists, but in most real world applications it's just not possible. As design blog Happy Cognition points out, flexibilit...

Pythagorean Theorem Scavenger Hunt Answer Key 3 3 Equivalency theory helps the instructional designer approach the development of instruction for each learner without attempting to duplicate what happens in a face to face classroom. The final theme for Teaching and Learning at a Distance is the idea that the book should be comprehensive –In this scavenger hunt activity, students will solve 12 problems that include questions from every unit of 8th-grade math. Students will practice equations, linear equations, systems of equations, Pythagorean theorem, volume, triangle angles, transformations, two-way tables, and many other important skills. This is a great review for a state ...Scavenger Hunt Recording Sheet Chapter Resources Chapter Readiness Quiz Chapter Test Math in Motion Standardized Test Practice Vocabulary Review Lesson Resources ... Lesson 2: The Pythagorean Theorem and Its Converse. Extra Examples; Personal Tutor; Self-Check Quizzes; Log In. The resource you requested requires you to enter a … Moved Permanently. Redirecting to /browse?search=scavenger%20hunt%20pythagorean%20theorem Jan 29, 2021 - This Scavenger Hunt is a great way to engage your 8th Grade Math students through this self-checking activity on calculating missing side lengths of right triangles by using the Pythagorean Theorem. This activity is great for Math centers, test prep, or early finishers.Skills Covered:Utilize the Pyt...The answer key on Gina Wilson All Things Algebra offers various features that enhance the learning experience. Some notable features include: Detailed Solutions: The answer key provides comprehensive and detailed solutions to the exercises, enabling students to identify any errors and learn from them. Multiple Approaches: In many cases, the ...

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These are engaging. 7. Products. $14.00 $20.00 Save $6.00. View Bundle. 8th Grade Math Functions Resources - Notes, Activities, and Posters. This 8th grade functions resource bundle includes notes, activities, and vocabulary posters to help you with your functions unit. This bundle includes all 9 of these resources!Description. Get your class moving and excited to practice Pythagorean theorem and simplifying square roots with this scavenger hunt! The activity allows students to practice Pythagorean theorem while self-checking their answers as they go . This activity is guaranteed to get your students engaged and excited to be practicing Pythagorean theorem!Description. Description. In this scavenger hunt activity, students will solve 12 problems that include questions from every unit of 8th-grade math common core. Students will practice equations, linear equations, systems of equations, scientific notation, Pythagorean theorem, volume, parallel lines cut by a transversal, transformations, two-way ...A lesson on finding the hypotenuse with a Power Point, worksheet, maze activity and answers. A lesson on finding the shorter side in a right angled triangle with a Power Point, worksheet, activity and answers A Scavenger Hunt using Pythagoras to find missing sides - hypotenuse or a shorter side mixture.For instance, the Pythagorean Theorem formula is a^2 + b^2 = c^2, where a, b are the lengths of the two sides of a right triangle, and c is the hypotenuse. As for the shape question, it's about a trapezoid, which is a quadrilateral with at least one pair of parallel sides labeled as b1 and b2 and the height designated as h.

People nearing retirement should be sure they can answer these key questions about their expected income, investment mix and lifestyle. By clicking "TRY IT", I agree to receive new...These Google Slides provide movable pieces that students can move to 'paste' into the correct spots around the clock. This activity is identical to the hard copy Pythagorean Theorem Around the Clock Partner Scavenger Hunt Activity. that is listed in my store. The Google Slides digital version is a great addition to your classroom toolbox.About This Resource: Students will practice their skill of solving problems with the Pythagorean Theorem. Students begin by solving any problem. When they have their answer, they then go find the answer on another slide and begin solving that problem. If done correctly, their answers should create a chain that connects all the slides in order.Image 3 of 3. Pythagorean Theorem Project Pirate Treasure Hunt. $4.50. Challenge your students to find the treasure by usingPythagorean Theorem to explore the pirate territory. Students follow a scenario of problems to find a treasure buried by Pythagoras. Student tested and approved. .No PREP! Print and hang each page around the room. This is a fun way to review Pythagorean Theorem at Easter time! Students will be up and moving as they find missing side lengths of right triangles.How it works:Give each student a copy of the "student recording sheet." Students will answer the que...These are engaging. 7. Products. $14.00 $20.00 Save $6.00. View Bundle. 8th Grade Math Functions Resources - Notes, Activities, and Posters. This 8th grade functions resource bundle includes notes, activities, and vocabulary posters to help you with your functions unit. This bundle includes all 9 of these resources!Check out this Pythagorean Theorem - Finding Hypotenuse and Side Lengths Around the Clock Partner Scavenger Hunt Activity! Students will work in pairs to solve order of operation problems that include exponents. Each partner will have their own clock with 12 unique problems. Each partner's problems will be different from the others, but the ...Title: Exploring the Pythagorean Theorem through a Scavenger Hunt. Grade Level: 8th grade. Objective: - Students will understand and apply the Pythagorean Theorem to solve problems involving right triangles. - Students will engage in a hands-on activity to reinforce their understanding of the Pythagorean Theorem. Materials: - Rulers or ...Pythagorean Theorem Scavenger Hunt Answer Key 3 3 Equivalency theory helps the instructional designer approach the development of instruction for each learner without attempting to duplicate what happens in a face to face classroom. The final theme for Teaching and Learning at a Distance is the idea that the book should be comprehensive –Pythagorean Theorem Scavenger Hunt Answer Key Looking for Pythagoras: The Pythagoras Theorem Glenda Lappan 2007-12 By Grade 8, your child has probably grown accustomed to wrestling with a heavy backpack. Let Pearson help lighten the load. You can purchase school materials for home use at Pearson@home. The Pythagorean Theorem Merle A. Barlow ...This bundle includes 11 Scavenger Hunt activities on various 8th grade math topics! You will save 30% by buying this bundle rather than buying each product individually.Scavenger hunts are a great way to get students out of their seats and collaborating with each other.

How To: Pythagorean Theorem Scavenger Hunt

Classifying Triangles Scavenger Hunt 4.G.3 Fourth Grade Common Core Math by Carolina Creations 15 $2.95 PDF This is a fun way for your students to practice classifying triangles by sides (scalene, equilateral, isosceles) or by angles (acute, right, obtuse). Students choose any card to start on. This Product Includes: - Congruence and Angle Relationships - The Pythagorean Theorem (whole numbers only) - 2 Quick Checks (4-7 questions each) one on each topic above - includes multiple select and answer grid questions for test prep - aligned with EngageNY 8th Grade Module 2 Topics C and D ***** You might also be interested in: Exponents …This Pythagorean Theorem Scavenger Hunt was created by Pupsaroni Puzzles for use in an 8th grade, Algebra 1, or Geometry classroom as a quick review of how to use the Pythagorean Theorem. ... the students have made a mistake and need to start over and retrace their steps checking their answers for accuracy. An answer key is provided for …Buying a home is often a long process that starts with looking at your options and deciding which ones are worth visiting, and eventually which one is worth making an offer. What q...results for pythagorean theorem scavenger hunt tpt health careers İnternet scavenger hunt answer key pdf questions hunt on the app ... Scavenger Hunt Answer Key, but end in the works in harmful downloads. Rather than enjoying a fine PDF as soon as a mug of coffee in theBuying a home is often a long process that starts with looking at your options and deciding which ones are worth visiting, and eventually which one is worth making an offer. What q...a 2 + b 2 = c 2. This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if. a = 3 and b = 4.Jan 19, 2017 - The popular Pythagorean Theorem pirate treasure hunt goes digital. Challenge your students to find Pythagoras' buried treasure by following clues that only can be solved by applying Pythagorean's theorem. Don't forget to take your pirate guide! Student tested and approved!This resource includes...We've got you covered with our apartment hunting checklist of things you should look for, but to crack a deal with a landlord, it helps to have your own papers in order. The guys a...Say hello to Amanda Augustine from online job-matching service TheLadders. She's a certified professional career coach and a certified professional resume writer, and is passionate...

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For a fun, quick practice activity of the Pythagorean Theorem, just print and hang this scavenger hunt.Students will be up and moving around the room as they answer 10 problems involving finding missing side lengths of right triangles.How it works:Each student gets a copy of the “student recording sheet.”Assign students to begin at a certain page so that they are spread out throughout the ...Explain the steps involved in finding the sides of a right triangle using Pythagoras theorem. Step 1: To find the unknown sides of a right triangle, plug the known values in the Pythagoras theorem formula. Step 2: …This is a ready to go lesson on the Pythagorean Theorem, complete with examples and class activity. There is a printable student example sheet. Place to write the Pythagorean theorem. Five example problem ; The around-the-room circuit or scavenger hunt on finding the side of a missing triangle using the Pythagorean Theorem consists of 12 problems.Out with the old, in with the new. The brain is truly a marvel. A seemingly endless library, whose shelves house our most precious memories as well as our lifetime’s knowledge. But...Answer Key; How Can I Use This Activity? The options are endless!! Use them for Math Talks, Warm-Ups, Homework, Assessments, Math Centers, or even as Extra Credit! ... Pythagorean Theorem Scavenger Hunt. Pythagorean Theorem Bundle. Follow me to be notified of new products - always 50% off for the first 24 hours. Yay!DescriptionIn this scavenger hunt activity, students will solve 12 problems that include questions from every unit of 8th-grade math common core. Students will practice equations, linear equations, systems of equations, scientific notation, Pythagorean theorem, volume, parallel lines cut by a transv...Use the Pythagorean theorem to determine the length of X. Step 1. Identify the legs and the hypotenuse of the right triangle . The legs have length 6 and 8. X X is the hypotenuse because it is opposite the right angle. Step 2. Substitute values into the formula (remember 'C' is the hypotenuse). A2 + B2 = C2 62 + 82 = X2 A 2 + B 2 = C 2 6 2 + 8 ...Pythagorean Theorem Scavenger Hunt Answer Key Looking for Pythagoras: The Pythagoras Theorem Glenda Lappan 2007-12 By Grade 8, your child has probably grown accustomed to wrestling with a heavy backpack. Let Pearson help lighten the load. You can purchase school materials for home use at Pearson@home. The Pythagorean Theorem Merle A. Barlow ...Math 8: The Pythagorean Theorem Project (TPTP)! In this project you will learn about one of the most famous theorems know to ancient civilizations... The Pythagorean Theorem! You need to complete the following three parts. You are given Parts 1 and 2 in this booklet.PYTHAGOREAN THEOREM PREVIOUS ANSWER: 30 SCOU14Vv llumL Find the value of x. 25 29 PREVIOUS ANSWER: PYTHAGOREAN THEOREM SCOU14Vv llumL Find the value of x. 20 34 RIGHT TRIANGLE TRIG. Scavenger Hunl Name: Date: Diections; Use your answers to determine whach problem to go to next. Be sure to write down theThe Pythagorean theorem is a 2 + b 2 = c 2 , where a and b are lengths of the legs of a right triangle and c is the length of the hypotenuse. The theorem means that if we know the lengths of any two sides of a right triangle, we can find out the length of the last side. We can find right triangles all over the place—inside of prisms and ... This scavenger hunt focuses on the Pythagorean Theorem. These task cards should be hung around a classroom, in the hallways, etc. to allow students to move around and have space to work. Students are to pick any problem to start on. Once they have solved that problem, they are to go to the other posted cards in order to find their solution. ….

This scavenger hunt is the perfect way to get students up and moving! Scatter the question cards around your room and have students hunt for the answers to all 14 questions. This hunt helps students practice finding the missing side of a right triangle using the Pythagorean Theorem. Cut each question page in half creating 14 separate question ...results for pythagorean theorem scavenger hunt tpt health careers İnternet scavenger hunt answer key pdf questions hunt on the app ... Scavenger Hunt Answer Key, but end in the works in harmful downloads. Rather than enjoying a fine PDF as soon as a mug of coffee in the This Pythagorean Theorem Scavenger Hunt was created by Pupsaroni Puzzles for use in an 8th grade, Algebra 1, or Geometry classroom as a quick review of how to use the Pythagorean Theorem. This practice also allows students to review finding area and perimeter of a triangle. The cards all have an ... Once students answer the 4 questions, they find their answers in the answer choices grid. This will generate a 4-letter code. Entering that code into the answer box on the Form will unlock the lock. ... Pythagorean Theorem Digital Math Escape Room . ... Partner Scavenger Hunts. How to Be a Math Person.To complete the Scavenger Hunt, students need a background knowledge in: 1) Pythagorean Theorem 2) Simplifying Square Roots 3) Multiplying with Square Roots 4) Pythagorean Theorem with compound shapes 5) Converse of the Pythagorean Theorem Included in this packet are 12 mathematics questions, a scavenger hunt answer sheet, and answer key.J.B. Hunt Transportation Services News: This is the News-site for the company J.B. Hunt Transportation Services on Markets Insider Indices Commodities Currencies StocksDraw diagrams/use Pythagorean Theorem to solve word problems. Find the perimeter/area of a parallelogram using the Pythagorean Theorem. What's Included? 12 Problem Cards (Two versions: 1 problem per page …Answer Key: Find the PERIMETER of the rectangle using the given side If you found: i 16.6 Solve (show your work): Find the PERIMETER of the and diagonal … Pythagorean theorem scavenger hunt answer key, Browse pythagorean theorem find missing hypotenuse resources on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources., This is a ready to go lesson on the Pythagorean Theorem, complete with examples and class activity. There is a printable student example sheet. Place to write the Pythagorean theorem. Five example problem ; The around-the-room circuit or scavenger hunt on finding the side of a missing triangle using the Pythagorean Theorem consists of 12 problems., This 12-question scavenger hunt provides students with practice finding a missing side length on a right triangle (leg or hypotenuse), applying the converse of the Pythagorean Theorem to determine if 3 given sides form a right triangle, and finding the distance between two points on the coordinate plane (using the Pythagorean Theorem or the Distance …, This 20 question Pythagorean Theorem Scavenger Hunt reviews the following three concepts: 1) Find a missing leg or hypotenuse of a right triangle using the Pythagorean Theorem. Both basic and complex problems that require more than one step included. 2) Use the Pythagorean Theorem Converse to determine if a triangle is acute, right, or obtuse. , Now, since the perpendicular side of the smaller triangle is also the perpendicular side of the larger triangle, we can use it as one of the sides in the Pythagorean theorem for the larger triangle: To find x, we take the square root of both sides: x = √320. x …, This resource contains three different anchor charts to help students learn about The Pythagorean Theorem. To be more specific, the anchor charts demonstrate how to. use the Pythagorean Theorem to find the missing side of a right triangle. utilize the converse of the Pythagorean Theorem. use the Pythagorean Theorem to find the distance …, To complete the Scavenger Hunt, students need a background knowledge in: 1) Pythagorean Theorem 2) Simplifying Square Roots 3) Multiplying with Square Roots 4) Pythagorean Theorem with compound shapes 5) Converse of the Pythagorean Theorem Included in this packet are 12 mathematics questions, a scavenger hunt answer sheet, …, Sep 16, 2020 - Pythagorean Theorem Scavenger Hunt by MynKMath | TpT. Sep 16, 2020 - Pythagorean Theorem Scavenger Hunt by MynKMath | TpT. Pinterest. Explore. When the auto-complete results are available, use the up and down arrows to review and Enter to select. Touch device users can explore by touch or with swipe gestures., TGT is still off target, struggling against the competition, despite quarterly EPS and revenue beats....TGT At the time of publication, Guilfoyle had no position in any security me..., Gina Wilson All Things Algebra Quadratic Equations Answer Key. 7. Gina Wilson All Things Algebra 2014 Answers Unit 3. 8. Gina wilson all things algebra 2018 unit 5 trigonometric ... Showing 8 worksheets for Gina Wilson All Things Algebra Answers 2017. Worksheets are Gina wilson all things algebra 2017 answer key unit 2, 1 2, Gina ..., Pythagorean Theorem Scavenger Hunt Answer Key The Arts Go to School College Algebra EnVision Florida Geometry The Classroom Chef Princeton Review SAT Premium Prep, 2021 Notebook: 70 Pages Head First Physics Problem Solving Pirate Island Treasure Getting Results with Curriculum Mapping Shake Up Learning Mathematical Modeling …, A review of the Pythagorean Theorem set up as a scavenger hunt..., Hunt Companies Finance Trust News: This is the News-site for the company Hunt Companies Finance Trust on Markets Insider Indices Commodities Currencies Stocks, CCSS 8.G.B.7. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. If you need a Pythagorean Theorem word problem activity that will get your students really thinking, use these scavenger hunt style task cards., Instructional materials by All Things Algebra (R) are well-designed, comprehensive, and high-quality. This saves teachers time in lesson planning and ensures that students are exposed to material that is engaging, rigorous, and attainable for all. Thousands of schools across the United States (and the world) are already using All Things Algebra ..., The answer key on Gina Wilson All Things Algebra offers various features that enhance the learning experience. Some notable features include: Detailed Solutions: The answer key provides comprehensive and detailed solutions to the exercises, enabling students to identify any errors and learn from them. Multiple Approaches: In many cases, the ..., This 12-question scavenger hunt provides students with practice finding a missing side length on a right triangle (leg or hypotenuse), applying the converse of the Pythagorean Theorem to determine if 3 given sides form a right triangle, and finding the distance between two points on the coordinate plane (using the Pythagorean Theorem or the ..., This 12-question scavenger hunt provides students with practice finding a missing side length on a right triangle (leg or hypotenuse), applying the converse of the Pythagorean Theorem to determine if 3 given sides form a right triangle, and finding the distance between two points on the coordinate plane (using the Pythagorean Theorem or the ..., State the Pythagorean Theorem and tell how you can use it to solve problems. Answer: Pythagorean Theorem: In a right triangle, the sum of squares of the legs a and b is equal to the square of the hypotenuse c. a 2 + b 2 = c 2 We can use it to find the length of a side of a right triangle when the lengths of the other two sides are known., This resource is created to find the leg or hypotenuse of right triangles using the Pythagorean Theorem and its converse.-----There are 26 cards designed for students to move around the room.-----Each card contains an answer for another card. Stud..., Includes Answer Key! Details:, Feb 7, 2020 - This scavenger hunt has 15 Pythagorean Theorem problems. In this scavenger hunt there are: Five problems finding the hypotenuse Four problems finding a missing leg Six word problemsIncluded in this product:15 question Pythagorean Theorem Scavenger Hunt Answer Key Recording Sheet For more Scavenge..., This resource is created to find the leg or hypotenuse of right triangles using the Pythagorean Theorem and its converse.-----There are 26 cards designed for students to move around the room.-----Each card contains an answer for another card. Stud..., The Insider Trading Activity of Hunt Andrea on Markets Insider. Indices Commodities Currencies Stocks, State the Pythagorean Theorem and tell how you can use it to solve problems. Answer: Pythagorean Theorem: In a right triangle, the sum of squares of the legs a and b is equal to the square of the hypotenuse c. a 2 + b 2 = c 2 We can use it to find the length of a side of a right triangle when the lengths of the other two sides are known., Students will complete a total of 10 problems to create a list of city names. This product is self-checking and allows a teacher to work one-on-one with students while the rest of the class is engaged in the scavenger hunt. My students love seeing scavenger hunts on the agenda. This product comes with the student worksheet, scavenger hunt ..., Image 3 of 3. Pythagorean Theorem Project Pirate Treasure Hunt. $4.50. Challenge your students to find the treasure by usingPythagorean Theorem to explore the pirate territory. Students follow a scenario of problems to find a treasure buried by Pythagoras. Student tested and approved. ., Description. This scavenger hunt activity consists of 16 problems in which students will practice finding area of figures on the coordinate plane. This includes parallelograms, rectangles, squares, triangles, kites, rhombi, semicircles, and composite figures. Students will need to use the Pythagorean Theorem on many problems to find side lengths., 30-60-90 triangle Right triangle scenarios Cumulative Review Answer Key Book description: In this book, students will review the Pythagorean Theorem and then learn …, Description. This scavenger hunt activity consists of 16 problems in which students will practice finding area of figures on the coordinate plane. This includes parallelograms, rectangles, squares, triangles, kites, rhombi, semicircles, and composite figures. Students will need to use the Pythagorean Theorem on many problems to find side lengths., Just print out the scavenger hunt, cut the problems and answers apart, and students will pick a question and look for their answer in the answers pile. I like to use this version with small groups. The worksheet version includes the same 12 questions., PYTHAGOREAN THEOREM PREVIOUS ANSWER: 30 SCOU14Vv llumL Find the value of x. 25 29 PREVIOUS ANSWER: PYTHAGOREAN THEOREM SCOU14Vv llumL Find the value of x. 20 34 RIGHT TRIANGLE TRIG. Scavenger Hunl Name: Date: Diections; Use your answers to determine whach problem to go to next. Be sure to write down the, A lesson on finding the hypotenuse with a Power Point, worksheet, maze activity and answers. A lesson on finding the shorter side in a right angled triangle with a Power Point, worksheet, activity and answers A Scavenger Hunt using Pythagoras to find missing sides - hypotenuse or a shorter side mixture.