1. Day1PythagoreanTheorem.notebook 1 June04,2015 DO NOW HW: Hw Sheet #'s 1-4, 6, 7, on a seperate sheet of paper! Exam 8 Tuesday 6/9 AIM: PYTHAGOREAN THEOREM June 4th Square Roots 2. Day1PythagoreanTheorem.notebook 2 June04,2015 Square Root of a Number: Is one of the two equal factors of a squared number. a.) Find the square root of 16 based on the definition. Square Root Symbol: 3. Day1PythagoreanTheorem.notebook 3 June04,2015 12 = 1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102 = 100 112 = 121 122 = 144 132 = 169 142 = 196 152 = 225 Perfect Squares 4. Day1PythagoreanTheorem.notebook 4 June04,2015 Evaluate the following. 36 121 196 25 225 64 9 81 5. Day1PythagoreanTheorem.notebook 5 June04,2015 Estimate each square root to the nearest whole number. 40 40 40 40 A.) What is the next perfect square that is greater than 40? B.) What is the next perfect square that is less than 40? C.) What are the square roots of the perfect squares? D.) Which perfect square is closer to 40? E.) Use a calculator to check your answer. 6. Day1PythagoreanTheorem.notebook 6 June04,2015 The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. PythagoreanTheorem BrainpopVideo. 7. Day1PythagoreanTheorem.notebook 7 June04,2015 The Pythagorean Theorem 8. Day1PythagoreanTheorem.notebook 8 June04,2015 Formula Diagram Pythagorean Theorem Graphic Organizer a2 +b2 =c2 Thelongestsideofthe righttriangle.Theside oppositetherightangle. (cintheformula) Thetwosidesthatform therightangle.(aandbin theformula) a b cThesquareofthe hypotenuseisequaltothe sumofthesquaresofthe lengthsofthelegs. Pythagorean Theorem Hypotenuse: Leg: 9. Day1PythagoreanTheorem.notebook 9 June04,2015 Hypotenuse: The longest side of the right triangle,opposite the right angle,letter "c" in the formula. Legs: Two sides that form the right angle, letters "a" and "b" in the formula. 10. Day1PythagoreanTheorem.notebook 10 June04,2015 Below is a rectangle that is 24 centimeters long and 10 centimeters wide. How can we find the length of the diagonal? 10cm 24cm (notdrawntoscale) a2 + b2 = c2 11. Day1PythagoreanTheorem.notebook 11 June04,2015 Think-Pair-Share Activity: a2 + b2 = c2 a2 + b2 = c2 12. Day1PythagoreanTheorem.notebook 12 June04,2015 a2 + b2 = c2 a2 + b2 = c2 13. Day1PythagoreanTheorem.notebook 13 June04,2015 E.) A checkerboard is 10 inches long on each side. What is the length of the diagonal from one corner to another? (Draw a diagram to help solve the problem) 10in 10in 14. Day1PythagoreanTheorem.notebook 14 June04,2015 Finding the diagonal of the SMARTboard 15. Day1PythagoreanTheorem.notebook 15 June04,2015 BEFORE YOU LEAVE Can the hypotenuse of a right triangle be shorter than one the legs of that right triangle? Explain your answer. 16. Day1PythagoreanTheorem.notebook 16 June04,2015 Pythagorean Theorem Hypotenuse: Leg: Formula Diagram Pythagorean Theorem Graphic Organizer a2 + b2 = c2 The sum of the squares of the legnth of the legs is equal to the square of the legnth of the hypotenuse! Longest Side Side opposites the right angle Sides that form the right angle ( Two Shorter sides) a b c 17. Day1PythagoreanTheorem.notebook 17 June04,2015 18. Attachments CalculatorDemonstration.notebook