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8 th Grade Math. 1 st Period Nov . 5, 2012. You have 7 min. to complete your Do Now! Quiz. You MUST show your work You may use a calculator You may use your notes You may NOT talk. HW Review on 11-7 PowerPoint. Warm-Up.
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8th Grade Math 1st Period Nov. 5, 2012
You have 7 min.to complete your Do Now! Quiz • You MUST show your work • You may use a calculator • You may use your notes • You may NOT talk
Warm-Up At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?
Warm-Up: Answer At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree? 18 ft
Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #8: What is the length of the diagonal of a 10 cm by 15 cm rectangle? Draw a picture: x 10 15
Looking for length of the hypotenuse a2 + b2 = c2 102 + 152 = x2 100 + 225 = x2 325 = x2 The diagonal of a 10 cm by 15 cm rectangle is approx. 18.028 cm. Using the Pythagorean Theorem x 10 15
Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #9: The diagonal of a rectangle is 25 in. The width is 15 in. What is the length? Draw a picture: 25 X 15
Looking for length of a leg a2 + b2 = c2 x2 + 152 = 252 x2 + 225 = 625 -225-225 x2 = 400 x = 20 The length of the rectangle is 20 in. Using the Pythagorean Theorem 25 X 15
You Try! Back of WS #2 – Problems #10-15 • For Problem #15, fill in the following picture:
HW • Back of WS #2 – Problems #10-15 • Front of WS #2 – Problems #1-7 (if you haven’t completed it already) • Tomorrow’s Do Now! Quiz will have: • Four Pythagorean Theorem word problems
8th Grade Math 2nd Period Only Nov. 5, 2012
You have 7 min.to complete your Do Now! Quiz • You MUST show your work • You may use a calculator • You may use your notes • You may NOT talk
Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #8: What is the length of the diagonal of a 10 cm by 15 cm rectangle? Draw a picture: x 10 15
Looking for length of the hypotenuse a2 + b2 = c2 102 + 152 = x2 100 + 225 = x2 325 = x2 The diagonal of a 10 cm by 15 cm rectangle is approx. 18.028 cm. Using the Pythagorean Theorem x 10 15
Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #9: The diagonal of a rectangle is 25 in. The width is 15 in. What is the length? Draw a picture: 25 X 15
Looking for length of a leg a2 + b2 = c2 x2 + 152 = 252 x2 + 225 = 625 -225-225 x2 = 400 x = 20 The length of the rectangle is 20 in. Using the Pythagorean Theorem 25 X 15
You Try! Back of WS #2 – Problems #10-15 • For Problem #15, fill in the following picture:
Remediation: Using Square Roots & Cube Roots to Solve Equations Solve . • Option 1: Think, “What squared gives me 64?” • Remember: Squaring is multiplying something by itself 2 times. For example, . • Option 2: Think, “x is being squared; how do I undo squaring?” • Either way, the answer is .
Remediation: Using Square Roots & Cube Roots to Solve Equations Solve . • Option 1: Think, “What squared gives me 35?” • However, you can’t square a whole number or a fraction to give you 35. • Use Option 2 instead. • Option 2: Think, “x is being squared; how do I undo squaring?” • The answer is .
FYI Unless the problems says otherwise: • You may leave irrational answers as square roots in traditional Pythagorean Theorem problems (not word problems). • You should give numerical approximations of irrational answers in Pythagorean Theorem word problems; round to the number of decimal places specified in the directions.
Remediation: Using Square Roots & Cube Roots to Solve Equations Solve . • Option 1: Think, “What cubed gives me 64?” • Remember: Cubing is multiplying something by itself 3 times. For example, . • Option 2: Think, “x is being cubed; how do I undo cubing?” • Either way, the answer is .
Remediation: Using Square Roots & Cube Roots to Solve Equations Solve . • Option 1: Think, “What cubed gives me 20?” • However, you can’t cube a whole number or a fraction to give you 20. • Use Option 2 instead. • Option 2: Think, “x is being cubed; how do I undo cubing?” • The answer is .
HW • Back of WS #2 – Problems #10-15 • Front of WS #2 – Problems #1-7 (if you haven’t completed it already) • Tomorrow’s Do Now! Quiz will have: • Two equations you need to solve by square rooting or cube rooting • Two Pythagorean Theorem word problems
8th Grade Math 4th Period Nov. 5, 2012
You have 7 min.to complete your Do Now! Quiz • You MUST show your work • You may use a calculator • You may use your notes • You may NOT talk
Warm-Up At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?
Warm-Up: Answer At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends from 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree? 18 ft
Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #8: What is the length of the diagonal of a 10 cm by 15 cm rectangle? Draw a picture: x 10 15
Looking for length of the hypotenuse a2 + b2 = c2 102 + 152 = x2 100 + 225 = x2 325 = x2 The diagonal of a 10 cm by 15 cm rectangle is approx. 18.028 cm. Using the Pythagorean Theorem x 10 15
Using The Pythagorean Theorem In Word Problems Back of WS #2 – Problem #9: The diagonal of a rectangle is 25 in. The width is 15 in. What is the length? Draw a picture: 25 X 15
Looking for length of a leg a2 + b2 = c2 x2 + 152 = 252 x2 + 225 = 625 -225-225 x2 = 400 x = 20 The length of the rectangle is 20 in. Using the Pythagorean Theorem 25 X 15
You Try! Back of WS #2 – Problems #10-15 • For Problem #15, fill in the following picture:
HW • Back of WS #2 – Problems #10-15 • Front of WS #2 – Problems #1-7 (if you haven’t completed it already) • Tomorrow’s Do Now! Quiz will have: • Four Pythagorean Theorem word problems
Common Core Math I 5th Period Nov. 5, 2012
HW Review:How to Estimate a Line of Best Fit • Sketch a straight line that runs as close to as many data points as possible. • Estimate the coordinates of two points on your line, and use them to write your line’s rule (y = mx + b form). • (0, 0) and (6, 2) • (0, 0) b = 0
HW Review: Practice • Sketch a straight line that runs as close to as many data points as possible. • Estimate the coordinates of two points on your line, and use them to write your line’s rule (y = mx + b form). • (0, 50) and (800, 150) • (0, 50) b = 50
Notes: Using Linear Models to Predict Given that your best fit line is : • What shadow location would you predict when the flag height is 12 feet? 25 feet? • Graphical answers (see right) • Algebraic answers:
Notes: Using Linear Models to Predict Given that your best fit line is : • What flag height would locate the flag shadow 6.5 feet from the base of the pole? 10 feet from the base of the pole? • Graphical answers (see right) • Algebraic answers: 19.5 = x • 30 = x
Practice:Using Linear Models to Predict Given that your best fit line is : • Predict the flight time for westbound flights 1200 miles in distance. • Predict the distance for westbound flights with 12 hours of flight time.
Practice:Using Linear Models to Predict Given that your best fit line is : • Use your rule to predict the flight time for westbound flights 1200 miles in distance. • Use your rule to predict the distance for westbound flights with 12 hours of flight time. • x = 5360
CW/HW • CW: "CW/HW: Using Linear Models to Predict"