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David Achen Retired Teacher South Middle School Grand Forks [email protected]

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David Achen Retired Teacher South Middle School Grand Forks [email protected]. Using a Virtual Textbook. Develops understanding using Visual & Conceptual connections. Easy to navigate, use and coordinate with Lessons. Can be used to teach, practice, review or quiz on concepts. - PowerPoint PPT Presentation
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X Featu res David Achen Retired Teacher South Middle School Grand Forks [email protected]
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Page 1: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

David Achen Retired Teacher

South Middle School Grand Forks

[email protected]

Page 2: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

David Achen
Hand out slips for participants to put down topics to demonstrate how to use the Virtual TextbookAlso use for a door prize which will be a free disc of my Virtual Textbook.
Page 3: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Using a Virtual Textbook

Easy to navigate, use and coordinate with Lessons Develops understanding using Visual & Conceptual connections

Can be used with smart-boards and/or hands on activities Can be used to teach, practice, review or quiz on concepts

Can use with the whole class or individual students

Can be modified and coordinated with your curriculum

David Achen
Go over Virtual Textbook concept.Emphasize the importance of visuals, multiple representations, building connections between math, algebra and geometry.Go to "Understanding Absolute Value" as an example.
Page 4: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Algebra142

Geometry47

Math114

Word Problems20

Writing3

Quizzes

Jeopardy Games

Full Version Contains:

Total326

Page 5: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Features of Virtual Textbook Use of Color & Shapes Develop Understanding using Visual Keys Making Connections using Examples Showing Relationships in Geometry Developing Formulas in Geometry Making Connections Instruction and Practice Visual Demonstration Setting up Word Problems

Page 6: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Fractions (Using Shapes & Colors)

Page 7: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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How many red trapezoids are in the yellow hexagon?

How many blue rhombuses areIn the yellow hexagon?

How many green triangles areIn the yellow hexagon?

Page 8: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Integers (Using Cubes & Colors)

Page 9: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

-3-5 + 2 =

Page 10: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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Understanding Polynomials

(Using Visual Keys)

Page 11: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

x

x2

x3

-x

-x2

-x3

1 -1

Visual Keys

Page 12: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

3x3

(+)

- 3+ 4x

+ 22x3

+ 2x2

- x5x3 + 2x2 + 3x - 1

Add these Polynomials

Page 13: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Making Connections

(Distributive Property)

Page 14: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Dry Erase Board

Dry Erase Eraser

Dry Erase Marker

$6.25 $1.25 $1.50

$25$125 $30

+

+

+

+

20 =$6.25 + $1.25 + $1.50( )

=

$180

Page 15: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Dry Erase Board

Dry Erase Eraser

Dry Erase Marker

b m e

20 m20 b 20 e

+

+

+

+

( )20 =b + m + e

Page 16: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Showing Relationships

(Corresponding Angles)

Page 17: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X FeaturesCorresponding Angles.

35o

1

145o

23 4

35o 145o

Page 18: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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Developing Formulas

(Surface Area)

Page 19: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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4

26

4

26

4

26

4

26

Top 12 units2

Bottom 12 units2

Front 24 units2

Back 24 units2

Side 8 units2

+88 units2

Side 8 units2

Page 20: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Rectangular

Solid

L W

H

LH units2 WH units2 LW units2

2LH + 2WH + 2LW units2

222

Page 21: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Area Circle = r2

hd

C = d

+

r2

hh

rlength = d

2 r2

r2

Page 22: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Making Connections

(Simultaneous Equations)

Page 23: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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5 footballs + 3 baseballs = $1701 football + 3 baseballs = $70

4 footballs + 0 baseballs = $100

Subtracting

1 football = $253 baseballs = $451 baseball $15

Page 24: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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5 f + 3 b = 170

1 f + 3 b = 70

4 f + 0 b = 100

Subtracting

1 f = 253 b = 451 b 15

Page 25: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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$140 + 6 binders = $170

( )

4 books + 6 binders = $170

1 books + 2 binders = $45

1 book + 0 binders = $35

If terms don’t match:

3 books 6 binders $1353(-)$35

4* $301 binder $5

**Change to Equivalent Equation

Page 26: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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Instruction & Practice

(Multiplying Polynomials Using Algebra Tiles)

Page 27: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

x x2

x

x

1

x

1

x

1

x x2 x x x

x

1 1 11

(x + 3)(2x + 1) = 2x2 + 7x + 3

Page 28: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Write Mutiplication Problem and Answer:

Page 29: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

Visual Demonstrations(Writing Equations &

Working with Exponents )

Page 30: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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( , ) 5 - 2 ( , )8 - 8

Equations from Ordered Pairs

3 - 6

3- 6 = - 2

____- 2 x=y + - 2 * 5 8 -10

( , ) 5 - 2

** First we need to find the Slope!Now, using y = mx + b

Page 31: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

x x

(x2y3)2

x2y3 x2y3.

x4 y6

y yyx x y yy

Page 32: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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Word Problems(Setting up Equations)

Page 33: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features 1. A family went out to dinner. They paid for the dinner and also left a 15% tip. The total including the tip was $41.40. How much was the dinner by itself?

=xPartWholePercent

Page 34: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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115%

100%

Price of Dinner:

+

0%

Dinner + Tip?

?Tip? 15%$41.40

Page 35: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features 1. A family went out to dinner. They paid for the dinner and also left a 15% tip. The total including the tip was $41.40. How much was the dinner by itself?

=xPartWholePercent

115% n 41.40

Page 36: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

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( )Bill = bJim = 3 + 2b Bill Jim+ = 42

= 423b + 3 = 42

3b = 39

b 3+ 2b+

13 yrs old

2. Jim is three years older than twice Bill’s age now. If the sum of their ages is 42, how old is Bill?

29 yrs old&

Page 37: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

= .5 (t + 4)

Tortoise

Hare

4.5 t

? mph

(t + 4) mph

? hours4.5 hours

.5 hours? hours

t mph

? mph

3. The tortoise and the hare decided to race. The tortoise left the starting line at 6 am. The hare didn’t begin until 10 am. When he started, he ran 4 mph faster than the tortoise and caught him at 10:30 am. How fast was each going?

X

Page 38: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

.5t4.5 t =

4.5 t = .5 (t + 4)

Solving the Equation

2 4t =

+ 2

½ t = mph2/4

X

Page 39: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

= .5 (4.5)

Tortoise

Hare

4.5 (.5)

? mph

4.5 mph

? hours4.5 hours

.5 hours? hours

.5 mph

? mph

2.25 2.25

Check the Solution: The tortoise and the hare decided to race. The tortoise left the starting line at 6 am. The hare didn’t begin until 10 am. When he started, he ran 4 mph faster than the tortoise and caught him at 10:30 am. How fast was each going?

X

Page 40: David Achen Retired Teacher     South Middle School Grand Forks dave.achen@gmail.com

X Features

The End!


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