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8th Grade Math
1st PeriodNov. 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
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:
Using the Pythagorean Theorem
Looking for length ofthe 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 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:
Using the Pythagorean Theorem
Looking for length ofa leg
a2 + b2 = c2
x2 + 152 = 252
x2 + 225 = 625 -225 -225x2 = 400 x = 20The length of the rectangle is 20 in.
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 OnlyNov. 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
No Warm-Up
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:
Using the Pythagorean Theorem
Looking for length ofthe 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 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:
Using the Pythagorean Theorem
Looking for length ofa leg
a2 + b2 = c2
x2 + 152 = 252
x2 + 225 = 625 -225 -225x2 = 400 x = 20The length of the rectangle is 20 in.
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 PeriodNov. 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
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:
Using the Pythagorean Theorem
Looking for length ofthe 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 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:
Using the Pythagorean Theorem
Looking for length ofa leg
a2 + b2 = c2
x2 + 152 = 252
x2 + 225 = 625 -225 -225x2 = 400 x = 20The length of the rectangle is 20 in.
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 PeriodNov. 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
No Warm-Up
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:
𝑦=13
(25 )=253
=813
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"