Post on 12-Jul-2015
Memorial High School
Squared Up In Mathematics
Principal: Calvin Rice
Math Department Lead: Pandora . Walker
(MHS)2
Calculator Enrichment
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
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
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