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

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David Achen Retired Teacher

South Middle School Grand Forks

dave.achen@gmail.com

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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

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Algebra142

Geometry47

Math114

Word Problems20

Writing3

Quizzes

Jeopardy Games

Full Version Contains:

Total326

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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

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Fractions (Using Shapes & Colors)

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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?

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Integers (Using Cubes & Colors)

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-3-5 + 2 =

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Understanding Polynomials

(Using Visual Keys)

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x

x2

x3

-x

-x2

-x3

1 -1

Visual Keys

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3x3

(+)

- 3+ 4x

+ 22x3

+ 2x2

- x5x3 + 2x2 + 3x - 1

Add these Polynomials

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Making Connections

(Distributive Property)

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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

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Dry Erase Board

Dry Erase Eraser

Dry Erase Marker

b m e

20 m20 b 20 e

+

+

+

+

( )20 =b + m + e

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Showing Relationships

(Corresponding Angles)

X FeaturesCorresponding Angles.

35o

1

145o

23 4

35o 145o

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Developing Formulas

(Surface Area)

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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

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Rectangular

Solid

L W

H

LH units2 WH units2 LW units2

2LH + 2WH + 2LW units2

222

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Area Circle = r2

hd

C = d

+

r2

hh

rlength = d

2 r2

r2

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Making Connections

(Simultaneous Equations)

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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

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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

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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

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Instruction & Practice

(Multiplying Polynomials Using Algebra Tiles)

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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

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Write Mutiplication Problem and Answer:

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Visual Demonstrations(Writing Equations &

Working with Exponents )

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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

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x x

(x2y3)2

x2y3 x2y3.

x4 y6

y yyx x y yy

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Word Problems(Setting up Equations)

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

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115%

100%

Price of Dinner:

+

0%

Dinner + Tip?

?Tip? 15%$41.40

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

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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&

= .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

.5t4.5 t =

4.5 t = .5 (t + 4)

Solving the Equation

2 4t =

+ 2

½ t = mph2/4

X

= .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

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The End!