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Accommodations for the 9-12 projects

Download as Microsoft Word Documents:

Calculator Worksheet

Enlarged Inches Worksheet

Equations

Find the Differences Answer Key

Find the Differences Worksheet

Here is a really cool website for solving equations

Scales

Solving Equations Using a Balance Scale

To Graph An Equation

Name ____________________________

Solving Equations Using Balance Scales

Each picture shows a balance scale.

In each picture, all cups contain the same unknown number of beans.

See if you can figure out how many beans a cup contains.

(over)

Draw a balance scale picture for each equation.

Then figure out how many beans a cup contains.

5. 3m + 9 = 5m + 3

6. 4x + 3 = 3x + 4

7. 5y + 1 = 3y + 9

8. 3r + 13 = 7r + 1

Calculator Basics – TI-83 & 84

Basic Keys

(Turn On) ON Toggle Keys ( moves cursor in 4 directions) 2nd followed by another key (accesses function above that key)

(Turn Off) 2nd ON ENTER (enters values) ^ (exponents)

(Return to home screen) 2nd QUIT

Top Row Keys Top Row 2^nd Functions

Y= (Enters equations to be graphed) 2nd Y= STAT PLOT

WINDOW (sets screen window) 2nd WINDOW TABLESET

ZOOM (adjusts window automatically) 2nd ZOOM FORMAT

TRACE (moves cursor along the graph) 2nd TRACE CALC

GRAPH (shows graph of equation entered in y= ) 2nd GRAPH TABLE

Row 2 Keys Row 2 2^nd Functions

2nd (accesses words above other keys)

MODE (left side should be highlighted) 2nd MODE QUIT

DEL (deletes an entry) 2nd DEL INS (inserts an entry)

Row 3 Keys Row 3 2nd Functions

ALPHA ( type letters) 2nd ALPHA A-LOCK

X,T,q,n (enters variable) 2nd X,T,q,n LINK

STAT (enter data in Lists) 2nd Stat LIST

Row 4 Keys

MATH (decimals to fractions, factions to decimals)

APPS (applications loaded on calculator)

PRGM (programs)

VARS ( select variable to paste on home screen)

CLEAR (clears screen)

0								1

0								1

0								1

“Find the Differences”

Teacher Answer Key

(-)

Find the differences between the given numbers.

A B

2 5 7 12 15 2 4 6 8 10

3 2 4 3 2 2 2 2

not common difference common difference

2 3 8 16 27 41

2 5 8 11 14 1^st difference

not common

3 3 3 3 2nd difference

common

What we learned………………………..

If the 1^st difference is common the data is linear.

If the 2^nd difference is common the data is quadratic.

“Find the Differences”

Find the differences between the given numbers.

A B

2 5 7 12 15 2 4 6 8 10

2 3 8 16 27 41

1^st difference

2nd difference

What we learned:

If the 1^st difference is common the data is ____________________.

If the 2^nd difference is common the data is ___________________.

Here is a really cool website for solving equations:

http://nlvm.usu.edu/en/nav/index.html

Find additional lessons and ideas on the Illuminations website:

http://illumtest.nctm.org/index.html

Other good websites:

http://www.marcopolo-education.org/home.aspx

http://pbskids.org/

http://www.pbskids.org/cyberchase/

Name _________________________

Solving Equations Using a Balance Scale

Each picture shows a perfectly balanced scale.

See if you can figure out how many beans are in each cup.

Each cup contains the exact same number of beans.

This is how you can change an equation into a balance scale picture:

· Cups are going to replace the unknown in the equation.

· Beans will replace the numbers.

· For example, 2x + 4 = 3x + 3 , would be shown like this:

(over)

Using your cups and beans, show how you would represent each equation.

Draw a picture to show your balance scale.

4. 2x + 6 = 3x + 2

5. 8y + 2 = 2y + 14

6. 16 = 7 + 3w

Look at each picture below and write the equation that it represents.

__________ = __________

TO GRAPH AN EQUATION

TI-83 & TI-84

Getting Ready:

Press Y= Clear all equations and make sure no STAT PLOTS

are highlighted

Press ZOOM 6 ENTER This sets the standard window

Press MODE Make sure the left side is highlighted

Now to graph the equation:

Press Y= Type your equation into y=

Press GRAPH

If your graph isn’t visible, adjust the screen using:

WINDOW (Enter appropriate minimum and maximum

values for x and y)

OR

ZOOM ( Try ZoomFit )

The TRACE function can now be used to find individual (x,y) points on the graph. Use the left and right arrows on the toggle switch to move along the graph. The x and y values appear at the bottom of the screen.

Another way to look at the (x,y) values is by using the TABLE function

Press 2^nd WINDOW to bring up table setup

Enter a value for x in TblStart

Press 2^nd GRAPH to display the table of values

Each pair of (x,y) values identifies a point on the graph.