Casio ED-WKBK-PRECALC Ficha Técnica

CASIO Education Workbook SeriesACTIVITY SAMPLES with thewith theCASIO fx-9750GII• Algebra I: Fun with Functions• Algebra II: Saving for a Rainy Day

Saving for a Rainy Day Teacher Notes Topic Area: Patterns and Functions – Algebraic Thinking NCTM Standard: •

Saving for a Rainy Day “How To” The following will demonstrate how to enter a given formula into the GRAPH

Steps for using G-Solve: 1. Press Ly(G-Solv), u( )and q(Y-CAL). > 2. To find the y-value when x = 0.1, input the following: .1l. 3. Press Ly(G

Saving for a Rainy Day Activity Investing for the future is usually the last thing on a person’s mind w

5. What would be the future value of an annuity if $10,000 is invested yearly for 5 years at 4% APR? ______________________________________________

12. Calculate the future value of an investment of $100 a year, at 5% APR, for 10 years. _________________________________________________________

Activity 2 • Algebra II with the Casio fx-9750GII 19. What is the difference between the investment for 10 years and the investment at 30 years?

Solutions 1. $5256.33 Activity 2 • Algebra II with the Casio fx-9750GII 2. $5416.32 3. $6105.10 4. $52,563.28 5. $54,163.22 6. $61,051.00 7. $8

Quite the Quadrilateral Teacher Notes Topic Area: Properties of Parallelograms NCTM Standards: • Use geometric ideas to solve problem

Quite the Quadrilateral “How-To” The following will demonstrate how to enter a set of coordinates into two lists using the Statistics

Activity 4 • Algebra I with the Casio fx-9750GII Fun With Functions Teacher Notes Topic: Functions and Fun

To graph the two equations and find the intersection: 1. From the Main Menu, highlight the Graph icon and press l or press 3. 2. To graph the tw

Quite the Quadrilateral Activity The parallelogram is a special quadrilateral with special properties that is used in a variety of areas, espe

Activity 7 • Geometry with the Casio fx-9750GII 7. Find the length for the following segments to the nearest tenth. a. AB : _______________________

16. What conclusion can be made about angles in a parallelogram? _____________Activity 7 • Geometry with the Casio fx-9750GII v2(2, 6)(7, 2)(0, 0)v1

Solutions: 1. a. y = 0.25x + 4.5 b. y = 0.25x − 0.75 2. The slope of each line is 0.25. 3. a. y = 2x + 8; b. y = 2x − 6

9. a. y = 0.36x + 3.81 b. y = −0.8x + 2.4 10. (0.5, 2) 11. a. ()()2222550 −−+−−.= 6.8 b. ()()2262650 −+−. = 6.8 12. a. ()()224

The Cost of Car Insurance Teacher Notes Topic: Data Analysis and Probability NCTM Standard(s) • For univariate measurement data, be abl

The Cost of Car Insurance “How-To” The following will demonstrate how to enter a set of data into the Casio fx-9750GII, graph the data

4. Press w(Box) for a box-and-whisker plot. 5. Make sure that the XList is List 1 and a Frequency of 1. If not, scroll down and press q to sele

To perform a 2 variable statistic analysis of the data: 1. d twice until you are at the main stat screen. 2. Press w(CALC), then w(2VAR) for a two-v

Fun With Functions “How To” The following will demonstrate how to store a value for a variable, input

The Cost of Car Insurance Activity For many years, actuaries have kept track of the driving records of car insurance policy holders. These stat

5. Use your Casio 9750GII to graph a box and whisker for each of the age and gender groups. Draw a sketch of each graph. Be sure to label the inter

9. Looking at the data overall, compare the mean and median costs for all the data sets, and find the best insurance company and the yearly rate each

Solutions 1. Range = $2381 - $1773 = $608 Mean = $2035.40 2. Range = $3291 - $2459 = $8732 Mean = $2870.80 3. $2870.80 - $2

6. Range = $1748 - $1129 = $619 Activity 4 • Statistics with the Casio fx-9750GII Mean = $1456.60 7. Range = $2439 - $1477 = $962 Mean

Area of a Triangle and Circular Sector Teacher Notes Topic Area: Trigonometric Applications NCTM standards: • Develop fluency in operations

Activity 8 • Pre-Calculus with the Casio fx-9750GII Prior to using this activity: • Students should understand the difference between right triangle

Area of a Triangle and Circular Sector “How-To” The following will demonstrate how to enter the data into the Casio fx-9750GII and interpre

3. Enter 10 for M and 25 for V, and then highlight K. 4. Press u(SOLV). 6. Kinetic energy for this example is 3125 kg•2secm. 7. To use the Solv

Area of a Triangle and Circular Sector Activity Introduction In this activity, you will learn how to calculate the area of a triangle and

2. Press d then u(TABL) to display the table. 3. To display a corresponding y-value for a specific x-value, highlight any x-value and enter the d

2. Find the area of the following triangles for the given values using Heron’s formula and the Solve feature. a. a = 5, b = 7, c = 10 area = _

Solutions 1. a. area = 10.0376 units2 b. area = 18.7789 units2 c. area = 7.7135 units2 2. a. area = 16.2481 units2 b. area = 24 unit

A Graphical Look At Continuity Teacher Notes Topic: Continuity NCTM Standard • Organize and consolidate their mathematical thinking t

A Graphical Look At Continuity “How-To” The following will demonstrate how to graph a function, graph a split-defined funct

To find the vertex of the graph: 1. Press Ly(G-Solv)w(MAX). The coordinates of the vertex will be displayed at the bottom of the screen. [Note: w

A Graphical Look At Continuity Activity This activity will have you explore the concept of continuity at a point. It will also allow you t

5. Explore the behavior of the following split-defined function: g(x) = ⎪⎨ ⎪⎩⎧>−−=−<−−0.5x6,xx0.5x6,0.5x6,xx22 Use the same viewing window

9. Find the following limits: a. ____________________ g(x)lim0.5x+→b. ____________________ g(x)lim0.5x−→c. ____________________ g(x)lim0

Solutions 1. 2. (0.5, −6.25) 3. Nothing unusual should be seen. The function is continuous. 4. The limit is -6.25, the vertical value of

Activity 4 • Calculus with the Casio fx-9750GII 11. Answers will vary; a good answer will include the fact that the function has a gap or a hole or

Activity 4 • Algebra I with the Casio fx-9750GII Fun With Functions Activity Functions help esta

Questions 1. Given the function f(x) = 3x + 7, evaluate the function at f(4). _________________________________________________________________ 2

6. Enter the data into the calculator and determine the linear function. List 1 List 2 0 8 2 6 5 3 2 0 ___________________________________

Solutions 1. f(4) = 19 2. f(-5) = 5, f(-4) = 3, f(-3) = 1, f(-2) = -1, f(-1) = -3 3. f(-2)= -9 4. The function is: y = 3x –

6. This relation fails the vertical line test as evident by the two coordinates directly above each other. Since the relation fails the vertical lin