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 =8 13

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"