Memorial High School

Squared Up In Mathematics

Principal: Calvin Rice

Math Department Lead: Pandora . Walker

(MHS)2

Calculator Enrichment

Abacus Slide Rule

NOW

TI NSpire

Tools for algebraic thinking.

Techniques for working with functions and equations are essential in understanding underlying relationships. Students use a variety of representations (concrete, pictorial, numerical, symbolic, graphical, and verbal), tools, and technology (including, but not limited to, calculators with graphing capabilities, data collection devices, and computers) to model mathematical situations to solve meaningful problems.

Underlying mathematical processes. Many processes underlie all content areas in mathematics. As they do mathematics, students continually use problem-solving, language and communication, and reasoning (justification and proof) to make connections within and outside mathematics. Students also use multiple representations, technology, applications and modeling, and numerical fluency in problem-solving contexts.

§111.31. through 111.37. (a) Basic understandings.

Implementation of Texas Essential Knowledge and Skills for

Mathematics, Grades 9-12.

The provisions of this subchapter shall be implemented beginning with the 2006-

2007 school year. This implementation date shall supersede any other

implementation dates found in this subchapter.

Provide ways to help students that are deficient.

Reinforces operations with real number.

Use multiple context to solve problems; Write, graph, and solve functions.

Lessen students frustration and anxiety.

Help students focused on the lesson longer periods of time.

Help students to retain information and feel confident about accuracy of their answers which lead to

Student being successful on state test

Teachers using Technology to support

TEKs-TAKs-STAAR

Basic Calculator FAQQ: Why calculator will not turn on?

A: Press 2nd key and blue up arrow, window screen resolution

may be diminished . Then try replacing batteries

Q: How do I change the language back to English?

A: Press the purple APPS key, scroll down to you see language

English and press enter

Q: Why won’t the graph show ?

A: Make sure the equal button is highlighted in y= menu, press

zoom “0” to refocus the window or manually redo window in the

window menu by changing x min-max, x-scale, and y min-max, y

–scale.

A: Sometimes turning off the plots from the y= menu too!

Q: How do I restart the calculator to default settings?

A: Press the 2nd key followed by 7 1 2 enter, done verifies it has

been reset.

Frequently Used Menu‟s

Home Screen “on” Graph Menu y=„s Graph Window : Standard 10 x10

Window Menu Table Setup Menu Table Window

http://hotmath.com/graphing_calculators/ti84_movie_index.html

2nd Plus Press 1

Resetting the Calculator to Defaults

Press 2

DONE

Methods For Equations-Expressions

1. Boolean test placed on the home screen an equation

Example: 2x+10=20 answer choices are a. 1 b. 2 c. 5 d. -6

A.“0” not a solution, “1” solution. Press 2nd parenthesis to get {}, 2nd Math for =

B. home screen 2{1,2,5,-6} +10 = 20 press enter {0,0,1,0} so, c. 5 is the correct

2. Equation Solver Press Math key then “0” equation solver shows up on the home

screen and you are now in a application, not the home screen.

A. This menu all equations are set equal to “0” by default so, 2x+10-20

B. Place equation, press enter, place a value for x= -1, press alpha enter, correct x=5,

C. press up arrow, place a new equation repeat steps A and B or 2nd Mode to exit.

D. Quadratic answers have two possible solutions so use x=1 then x= -1 to get all

possible answers.

3. Y= menu multiple representation with connection to graphs, tables, & function rules.

A. Place any one variable equation, function, or expression in y1=, 2nd graph for values

B. Place 2x+10 in y1= and 20 in y2=

C. view table y1= y2 is solution or

D. 2nd trace 5 enter 3 times it show the graph intersection.

E. Graph with trace key on to see graph that match identically -0 y1= menu

Home Screen

Home screen is used for basic computation + - X ÷ squaring and square roots

Application are view in the home screen and use variables/letters such as;

y= equation solver, store / sto features

Get back to home screen

Press 2nd Mode

Change Decimal to Fractions

Press Math to change

Power Key Λ

Underneath Clear key

Square Root Key

Press 2nd x2 √

Insert Key

Place a character into the middle of a statement, press 2nd then delete key

Clear & Delete Key

Clear removes the entire statement, delete remove only one character at a time

Imaginary numbers

• The i is the imaginary

number key

Press 2nd dot next to

Scientific notation

EE is the scientific

notation key

Press 2nd to access this

key when you want to

write in scientific like

2.3x105 2.3E5 press

enter and it changes it

to standard notation

230,000

1.05 x10-8 1.05E-8

0.00000105

Mode Key

Normal

• Change to radians to degrees for trigonometric problems

• Normal to scientific for science problems

• Polar for advance math polar functions

• Float rounds to the indicated decimal such as 0 leave it just as it is, 1 rounds to the tenth place, 2 to the hundredths place…..

Sci-Scientific

• Use to take a standard

notation problem and

change it to scientific

notation.

• 270000 converts to 2.7E5

means 2.7x105

• 0.0001 converts to 1.0E-4

means 1.0x10-4

Simplifying Expression on the

home screen one variable

6) Simplify the polynomial.

−3x(7x − 4) + 6x − (13 − 24x2)

F 3x2 + 18x − 13

G −24x2 − 15x − 17

H −24x2 + 10x − 17

J 3x2 + 18x + 13

Simplifying Expression on the home

screen two or more variables

Which expression is equivalent

(3x − 15y) + (9y − 11x)?

A −9x − y

B 11x − 21y

C 10x − 4y

D −9x − 26y

There are 2 variables

in the expression

Simplifying Expression from the

graphing menu y= “one variable only”

2005 October Exit

28) If (−3.5, y) is a solution to the

equation 2x − 5y = 10, what is the

value of y?

F −3.4

G 13.75

H −0.6

J −3.75

One variable is given

find the other

Simplifying/solving Equations on the

home screen one variable using sto

feature and Boolean test “0” or “1”

What is the value of y if (3, y) is a

solution to the equation 5x − 3y = 18?

F 3

G 1

H −1

J −11

Which expression is

equivalent to

5(x2 − 4x) − (x + 1)?

A 5x2 − 21x + 1

B 5x2 − 5x − 1

C 5x2 − 21x − 1

D 5x2 − 5x + 1

Simplifying/solving Equations using

the y= menu graph/ table

2006 10th Grade

16) Simplify the expression

6 − 3(5x + 2) − 10x.

F −25x

G 5x + 6

H 8 − 25x

J 12 − 25x

Objective 2

2003 10th Grade

10) Simplify the

expression

3(x + 1) − 2(3x + 7).

F −3x − 11

G −3x − 10

H −3x − 8

J −3x + 17

Simplifying/solving Equations using

the y= menu graph/ table

A rectangle has a length of

2x + 1 and a width of 5x − 4.

Which expression best describes

the area of the rectangle?

F 7x − 3 H 10x2 − 3x − 4

G 14x − 6 J 10x2 + 13x − 4

Simplify the algebraic expression

5(x + 3)(x + 2) − 3(x2 + 2x + 1).

A 2x2 + 7

B 2x2 + 27

C 2x2 + 7x + 7

D 2x2 + 19x + 27

Creating a function rule from

data, patterns, or graphs using stat

menu

Which expression can be used to find the values of s(n) in

the table below?

F 3n

G 5n

H n + 4

J 3n + 2

Verifying function rules, patterns

or graphs using y= menu

2006 10th Grade

38) The squares below show a pattern.

Which expression can be used to determine

the number of squares at stage n?

F 5n − 3

G 4n − 2

H 2n2

J n2 + n

Using y= menu to find the domain or

range of a function rule

2003 10th Grade

19) A function is described by the equation f (x) = x2 + 5. The replacement set for the independent variable is {1, 5, 7, 12}. Which of the following is contained in the corresponding set for the dependent variable?

A 0

B 6

C 7

D 15

Using y= to answer questions about

functions rules for specific values

•

• 2003 10th Grade

• 31) In the equation y = 2x2 − 5x − 18, which is a value of

x when y = 0?

•

• A −18 C 2

• B 1 D 4

Using matrices to solve systems of

equations

2004 10th Grade

24) What is the x-coordinate of the solution to the system of linear equations below?

4x + 5y = 8

2x − 3y = −18

F −4

G −3

H 3

J 4

Matrix menu

Press 2nd x-1

Edit A using equations

Values given.

2 equations with three values, therefore 2x3

4 enter 5 enter 8 enter

2 enter -3 enter -18 enter

Go back to home screen

Press 2nd x-1

Go to math

press alpha apps

Press 2nd x-1

Enter enter

Summary

• TI-84Plus/NSPIRE

• Strategies to implement in Mathematics 9-12 TEKs

• Strategies for test taking TAKs, STAAR, SAT, ACT, and

ASVAB

• Other technology tools CBRs, Range, Temperature probes

• Provide students with appropriate calculator methods that can

extended learning through the curriculum and into science.

• Use technology not to just to get an “answer,” but allows the

students to verify and analyzed their answers more accurately.

• Share Strategies with students to lessen frustration