 On your graph paper, do the following:  Draw a triangle with the following sides:  Leg 1 = 3 units (squares)  Leg 2 = 4 units (squares)  Draw the.

Slides:

Advertisements

Similar presentations

Pythagorean theorem PROBLEM SOLVING.

Advertisements

Pythagorean Theorem iRespond Review CCGPS Math 8 Palmer Middle School.

The Pythagorean Theorem c a b.

$200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $500 $100 Squares & Roots Pythagorean Theorem.

PYTHAGOREAN THEOREM.

Pythagorean Theorem Story Problems Goal: Solve for an unknown measurement of using the Pythagorean Theorem.

(3, 4, 5)(6, 8, 10)(12, 16, 20) (5, 12, 13)(10, 24, 26) (7, 24, 25) (8, 15, 17) (9, 40, 41) (11, 60, 61) (12, 35, 37) (20, 21, 29) PYTHAGOREAN TRIPLES.

Jeopardy Review Find the Missing Leg / Hypotenuse Pythagorean Theorem Converse Distance Between 2 Points Everybody’s Favorite Similar T riangles Q $100.

Exercise Solve x 2 = 4. x = ± 2. Solve x 2 = – 4. no real solution Exercise.

Applications of the Pythagorean Theorem

Fasten your seatbelts A small plane takes off from an airport and rises at an angle of 6° with the horizontal ground. After it has traveled over a horizontal.

Section 1 – Simplify the following radicals. 1.) 2.) 3.) 4.) 5.) 6.) 7.) 8.) 9.) Geometry/Trig 2Name: ____________________________________ Chapter 8 Exam.

Starter 3 cm 4 cm 5 cm Find the areas of the squares 5 minutes.

Aim: How do we find the lengths of the sides in a right triangle? Do Now 1. Solve 2(x + 5) = Find the measure of the missing angle? 48 o 17 o 100.

The Pythagorean Theorem

Pythagorean Theorem A triangle is a right triangle if and only if the sum of the squares of the lengths of the legs equals the square of the length of.

Pythagorean Theorem Two sides of a right triangle measure 6 feet and 8 feet. What is the length of the hypotenuse?

Square Roots and the Pythagoren Theorm

4-8 The Pythagorean Theorem Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

4-8 The Pythagorean Theorem Use and apply the Pythagorean Theorem to solve contextual problems The Pythagorean Theorem.

A b c. Pythagorean Theorem Essential Questions a 2 + b 2 = c 2 The Pythagorean Theorem a 2 + b 2 = c 2 “For any right triangle, the sum of the areas.

Table of Contentsp. 1 p Perfect Squares and Square Roots p. 6 Review Perfect Squares p. 7 – 8Label and Identify Right Triangles p. 9Label and Identify.

Step 1: Square Longest side Step 2: Add Step 3: Square Root Step 1: Square Shorter side Step 2: Subtract Step 3: Square Root 7cm 9cm x 4cm 8cm x 12cm 7cm.

Application problems.

PYTHAGORAS Aim: To be able to know Pythagoras’ Theorem All: Will be able to recall theorem. Most: Will be able to use to find the length of hypotenuse.

Pythagorean Theorem. Warm Up Objective DOL SWBAT solve and interpret problems with the Pythagorean Theorem Given 2 CR problems, SW solve and interpret.

Pythagorean Theorem Test Review

The Pythagorean Theorem describes the relationship between the length of the hypotenuse c and the lengths of the legs a & b of a right triangle. In a right.

Jeopardy Pythag. Thm. Pythag. Thm. Apps Simplifying Radicals Inequalities Family Tree Of Numbers Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300.

EQ: What is the relationship between the 3 sides in a right triangle?

Today’s learning Target: 3.8B I can use the Pythagorean Theorem to find the leg of a right triangle.

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

Warm Up -2(3x+ 2) > 6x + 2 Write an equation such that you have to subtract 3 and multiply by 4 when solving. Solve the inequality. Compare inequalities.

SineCosineTangentPythagoreanTheorem Mixed Word Problems(Regents)

Ch 8 Review Questions. Pythagorean Theorem Find the missing side 15 x 30.

4-8 The Pythagorean Theorem Warm Up Use a calculator to find each value. Round to the nearest hundredth Homework: Page 203 #1-8 all #

PYTHAGOREAN WORD PROBLEMS. Word Problems  Today’s focus is going to be on the dreaded word problems. More often problems that need to be solved using.

8.2 Pythagorean Theorem and Its Converse Then: You used the Pythagorean Theorem to develop the Distance Formula. Now: 1. Use the Pythagorean Theorem. 2.

Pythagorean Theorem. Foldable 1.Cut out the rectangle. Fold down the blank to rectangle, and fold up the blank bottom rectangle. Cut only the lines separating.

Geometry/Trig 2Name: ________________________________ Pythagorean Theorem Problem SolvingDate: _________________________________ Directions: Complete each.

Pythagorean Theorem Jeopardy VocabThe PT Converse of PT Distance Formula Wrap Up Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.

Page To get home from school you walk through a park. The park is 400 m long by 90 m wide. You walk from the southwest corner to the northeast corner.

Each group starts with £50 Each round, you must decide which question you will answer (£10, £15 or £20) – the higher the stake, the harder the question.

3-8 The Pythagorean Theorem Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Applying Pythagorean Theorem

Pythagorean Theorem Jeopardy

Pythagorean Theorem Distance and

The Pythagorean Theorem

The Pythagorean Theorem

The Theorem of Pythagoras

Pythagorean theorem.

Pythagorean Theorem Converse

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

Bellringer GOFORM Error Analysis

Pythagorean Theorem.

Bellringer 8/31/17.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Using Pythagoras’ Theorem

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Bellringer GOFORM Error Analysis

Pythagorean Theorem.

Graph the numbers on the number line below.

The Pythagorean Theorem

Using Pythagoras’ Theorem

FAMOUS PYTHAGOREAN TRIPLES:

Solve for the unknown side or angle x

The Pythagorean Theorem

C.L.E.A.R. Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore. He crosses the river but ends.

Applying Pythagorean Theorem

Bellwork Find the measure of angle Find the measure of angle B.

Presentation transcript:

 On your graph paper, do the following:  Draw a triangle with the following sides:  Leg 1 = 3 units (squares)  Leg 2 = 4 units (squares)  Draw the squares that the sides form.  Find the area of each square.

Missing Hypotenuse Square Them Add Them Square Root

 Project:  You will be given a situation and you are to solve it with the Pythagorean Theorem. You will create a poster with the following on it:  The situation in words  A picture of the situation with correct labels and units  The math that explains how to get the answer.  Your answer in a complete sentence (remember mmm… sentences from Math Modeling)  Round your answer to the nearest tenths place (_._)

Advanced 4 Proficient 3 Partially Proficient 2 Emerging 1 Situation I wrote the entire situation in complete sentences. I wrote the situation there were some grammar errors. I wrote part of the situation. I did not write the situation. Picture of Situation I drew the picture with all the labels in the correct spot and in correct units. I drew the picture and labeled correctly but without the units I drew the picture without labeling it or using correct units. I did not draw a picture. Math Explanation I solved the problem correctly and showed all of my work. I showed all of my work but did not get the answer correct. I solved the problem correctly but did not show my work. I did not get the problem correct and did not show my work. Answer I wrote my answer in a complete sentence and used correct units. I wrote my answer in a complete sentence but did not include correct units. I did not write a complete sentence or use units. I just wrote down a number. I did not answer the question asked. Complete 100% of requirements included. 80 – 99% of requirements included. 60 – 79% of requirements included 0 – 59% of requirements included. Neatness LegibleMostly LegibleDifficult to ReadCan’t Read

 Each side of a checkerboard measures 40 cm. What is the length of its diagonal?

 An inclined ramp rises 4 meters over a horizontal distance of 9 meters. How long is the ramp?

 A guy wire is attached to an upright pole 6 meters above the ground. If the wire is anchored to the ground 4 meters from the base of the pole, how long is the wire?

 A box is 120 cm. long and 25 cm. wide. What is the length of the longest ski pole that could be packed to lie flat in the box?

 A television screen measures 30 cm. wide and 22 cm. high. What is the diagonal measure of the screen?

 A ship leaves port and sails 12 kilometers west and then 19 kilometers north. How far is the ship from port?

 The window of a burning building is 24 meters above the ground. The base of a ladder is placed 10 meters from the building. How long must the ladder be to reach the window?

 As Greg swam across an 80-meter river, the current carried him 30 m downstream. How far did he swim?

 Two jets left Gerald R. Ford International Airport at the same time. One traveled east at 300 mph. The other traveled south at 400 mph. How far apart were the jets at the end of an hour?

 a receiver, who is 14 yards to the right of the quarterback, catches the ball 25 yards away from the line of scrimmage. How far did the quarterback throw the ball?

 A helicopter rose vertically 300 m and then flew west 400 m. How far was the helicopter from its starting point?

 A park is in the shape of a rectangle 8 miles long and 6 miles wide. How short is it to walk diagonally across the park?

 A newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft. above the ground and then anchored to the ground 4 ft. from the base of the tree. How long is each wire?

 Two trains left Grand Rapids at the same time. One traveled south at 50mph. The other traveled east at 40mph. How far apart were the trains at the end of 1 hour?

 A cable is stretched from the top of a cell phone tower to an anchor point on the ground 15 ft. from the base of the tower. The tower is 50 ft. tall. How long is the cable?

 A tent is supported by a vertical stick in the middle of the tent that is 6 ft. tall. There is a rope attached to the top of the stick that is tied to a tent stake 8 ft. away from the middle stick. How long is the rope?

 A builder needs to add diagonal braces to a wall. The wall is 16 ft. wide by 12 ft. high. How long does the builder have to cut each diagonal brace?