1 Hook/Attention Getter: Introduction to the Pythagorean Theorem
Have the students watch the introduction video to the Pythagorean Theorem using the Chromebooks. Walk around as students are watching the video and check for understanding once everyone has finished the video.
Watch the video to be introduced into the Pythagorean Theorem.
2 Independent Video/Notes: Determine if the triangle is right using the Pythagorean Theorem
Have student watch and work the problems with the video. This will help them understand how to use the Pythagorean Theorem to determine if the triangle is a right triangle.
Watch the video embedded on the page. On a Google document, take notes along with the video on how you can determine if the triangle is a right triangle. Come up with a list of strategies you can use to help you make your decision.
3 Independent Reading: How to use the distance formula.
Have students read and work through the activity on using the distance formula. Have them take notes in their Google document on how the distance formula relates to the Pythagorean Theorem.
Read/Watch the resource on using the Distance Formula. How does using the distance formula relate to the Pythagorean Theorem? Add this question to your notes and answer the question. We will have a classroom discussion using Google Classroom as a warmup tomorrow.
4 Practice: Using the Distance Formula and Pythagorean Threorem
Have students complete the activity on iXL to check their understanding on applying the distance formula and Pythagorean Theorem learned in this lesson.
Practice your skills! Use this website to test your knowledge of the Pythagorean Theorem and the Distance formula!
5 Homework: Practicing Distance Formula and Pythagorean Theorem
Have students complete the Kuta practice worksheet for homework and turn in via Google Classroom.
Please complete the attached practice worksheet using the Chromebook PDF annotator. Submit your work to the Google Classroom page before class tomorrow for full credit.
Key Standards Supported
|HSA.CED: Create Equations That Describe Numbers Or Relationships|
|HSA.CED.1||Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.|
|HSA.CED.2||Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.|
|HSA.CED.3||Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non- viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.|
|HSA.CED.4||Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.|
Expressions And Equations
|7.EE: Solve Real-Life And Mathematical Problems Using Numerical And Algebraic Expressions And Equations.|
|7.EE.3||Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.|
|7.EE.4||Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.|
|7.EE.4.a||Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?|
|7.EE.4.b||Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.|
|4.G: Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And Angles.|
|4.G.1||Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.|
|4.G.2||Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.|
|4.G.3||Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.|