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TI-15
A Guide for Teachers

Summary of Contents

  • Page 1

    TI-15 A Guide for Teachers...

  • Page 2

    TI.15 A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Jane Schielack...

  • Page 3

    Jane Schielack is an Associate Professor of Mathematics Education in the Department of Mathematics at Texas A&M University. She developed the Activities section and assisted in evaluating the appropriateness of the examples in the How to Use the TI-15 section of this guide. Important Notice Regarding Book Materials...

  • Page 4: Table Of Contents

    Rounding The Value of Place Value ...29 Place value What’s the Problem?...34 Number sentences, Problem solving How to Use the TI.15 ... 38 1 Display, Scrolling, Order of Operations, Parentheses ...39 2 Clearing and Correcting ... 42 3 Mode Menus...45 4 Basic Operations ...48...

  • Page 5

    About the Teacher Guide How the Teacher Guide is Organized This guide consists of two sections: Activities and How to Use the TI-15 . The Activities section is a collection of activities for integrating the TI-15 into mathematics instruction. How To Use the TI-15 is designed to help you teach students how to use the calculator.

  • Page 6

    EXAS NSTRUMENTS NCORPORATED Menus Two keys on the TI-15 display menus: ‡ and ¢. Press $ or # to move down or up through the menu list. Press ! or " to move the cursor and underline a menu item. To return to the previous screen without selecting the item, press ”.

  • Page 7

    Clears pending operations, entries in history, and constants (stored operations). Automatic Power Down If the TI-15 remains inactive for about 5 minutes, Automatic Power Down (APD) turns it off automatically. Press − after APD. The display, pending operations, settings, and memory are retained.

  • Page 8: Activities

    © 2000 T EXAS NSTRUMENTS NCORPORATED Activities Patterns in Percent Fraction Forms Comparing Costs Number Shorthand Related Procedures In the Range The Value of Place Value What’s the Problem? TI-15: A Guide for Teachers...

  • Page 9: Patterns In Percent

    • multiplication • equivalent fractions, decimals, and percents ³ When a student enters a 6 ª, the TI-15 displays 6%. Then, when the student presses ®, the display changes to 6%= 0.06 to show that 6% is another way to write 0.06 or 6/100.

  • Page 10

    How does the tax on a $20 item change each day? How does the tax on a $40 item change each day? How do the taxes on the 2 items compare? © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-15: A Guide for Teachers...

  • Page 11

    Patterns in Percent Collecting and Organizing Data Use your calculator to collect data about percent, organize it in the table below, and then look for patterns. Cost of Item © 2000 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ Amount of Tax in...

  • Page 12

    4. Repeat the activity, changing the percents in the left column while keeping the total quantity constant. Now what patterns do you see? What conjectures can you make? __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ © 2000 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ TI-15: A Guide for Teachers...

  • Page 13: Fraction Forms

    (6 cups ÷ 4 bowls = number of cups per bowl). © 2000 T EXAS NSTRUMENTS NCORPORATED cups of cups per bowl. cups per bowl. TI-15: A Guide for Teachers Grades 4 - 6 Math Concepts Materials • division • TI-15 • multiplication • pencil •...

  • Page 14

    © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) d man auto TI-15: A Guide for Teachers  For example, for 6 ÷ 4 as a fraction, enter 6 ž 4 ¥. The displays in the different modes will look like the...

  • Page 15

    ½. © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) d auto settings d man settings d auto TI-15: A Guide for Teachers...

  • Page 16

    Fraction Forms Collecting and Organizing Data 1. Have each person in your group set his/her calculator to one of the following combinations of modes for fraction display. (Each person should choose a different setting.) improper/manual simp improper/auto simp mixed number/manual simp mixed number/auto simp 2.

  • Page 17

    2. What generalizations can you make? __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ 3. Try the activity again with a different denominator and compare your results with the two denominators. __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-15: A Guide for Teachers...

  • Page 18: Comparing Costs

    Math Concepts • division • multiplication • fractions • decimals    ® to TI-15: A Guide for Teachers Grades 3 - 5 Materials • TI-15 • pencil • student activity (page 14) To display an integer quotient with a remainder, use the £...

  • Page 19

    How are your three solutions different? The remainder form just tells how many dollars are left over. The fraction and decimal forms tell how much more than $586 each school has to pay. © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-15: A Guide for Teachers...

  • Page 20

    , but that doesn’t make , then fix the decimal , and 586.67 x 6 , which 3520.02 TI-15: A Guide for Teachers  When you fix 586.666667 to 2 decimal places, and then multiply by 6, the calculator “remembers”...

  • Page 21

    2. Use division with a quotient in fraction form: 3. Use division with a quotient in decimal form: Analyzing Data and Drawing Conclusions Write a short paragraph comparing the three solutions. © 2000 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ TI-15: A Guide for Teachers...

  • Page 22: Number Shorthand, Scientific Notation

    When you press › the first time, the calculator performs the operation 1 x 10 and the display shows: 1x10 represents using one time. x 10 TI-15: A Guide for Teachers Materials • TI-15 • pencil • student activity (page 18)

  • Page 23: Scientific Notation

    The 1x10 stays the same, but the right-hand number (the exponent) goes up one each time › is pressed, and it matches the left-hand counter. © 2000 T EXAS NSTRUMENTS NCORPORATED represents the product: mean? 3 1000 TI-15: A Guide for Teachers...

  • Page 24

    10 has been used as a factor. © 2000 T EXAS NSTRUMENTS NCORPORATED is in the place where the , where the 1.2 x10^13 TI-15: A Guide for Teachers...

  • Page 25

    Number Shorthand: Scientific Notation Collecting and Organizing Data Program the constant operation feature on your calculator to multiply by 10. Record the results in the table below for each time you press ›. Number of Times Used as a Factor ©...

  • Page 26

    2. What does it mean when the right-hand display changes? (For example, 1x10^15 __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ 3. Try the activity again with another multiple of 10 and compare your results. __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ © 2000 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ TI-15: A Guide for Teachers...

  • Page 27: Related Procedures, Constant Operations

    Related Procedures student activity page. © 2000 T EXAS NSTRUMENTS NCORPORATED on their calculators, press , which means 1 10 TI-15: A Guide for Teachers Grades 2 - 6 Math Concepts Materials • whole numbers • TI-15 • addition, • pencil subtraction, •...

  • Page 28

    EXAS NSTRUMENTS NCORPORATED (Continued) , the tables might ÷ 2 Output Output TI-15: A Guide for Teachers ³ To recognize the equivalent procedures, students may need to use the Ÿ key to change outputs from decimal to fraction form or vice versa.

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    Table for Input Procedure x½ x½ x½ œ Table for Input Procedure © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) x ½ Output ½ 1.5 = 1½ Output 0.5 = ½ 10 = 1.5 = 1 1½ TI-15: A Guide for Teachers...

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    5. How do the two procedures compare? __________________________________________________________________________ 6. What patterns do you see? __________________________________________________________________________ 7. Are the two procedures related? Explain. __________________________________________________________________________ © 2000 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ Table for œ Output Input TI-15: A Guide for Teachers Procedure Output...

  • Page 31: In The Range, Rounding

    14 decimeters.) © 2000 T EXAS NSTRUMENTS NCORPORATED 1357.5 TI-15: A Guide for Teachers Grades 3 - 6 Math Concepts Materials • rounding whole • TI-15 numbers • pencil •...

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    © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) . Ask: TI-15: A Guide for Teachers ³ To round to the nearest whole number, press Š “ ®. ³ To round to the nearest tenth, press Š ˜ ®.

  • Page 33: Rounding

    (For example, 2 yards would lie between 1 yard and 18 inches and 2 yards and 18 inches.) © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-15: A Guide for Teachers...

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    Collecting and Organizing Data Have your partner secretly enter a measurement with three decimals places into the calculator, and then fix the number to be rounded to the nearest whole number. Now look at the display and answer the following questions: 1.

  • Page 35

    9.0 m when rounded to the nearest tenth of a meter (decimeter). _______________________________________________________________________ c. 9.05 m when rounded to the nearest hundredth of a meter (centimeter). _______________________________________________________________________ © 2000 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ TI-15: A Guide for Teachers...

  • Page 36: The Value Of Place Value, Place Value

    (for example, 314). 3. Press Œ ’ to see the display. (Using 314, the display is 31í there are 31 tens in 314.) TI-15: A Guide for Teachers Materials • TI-15 • pencil • Counting on Frank by Rod Clement •...

  • Page 37: Place Value

    1602. (If students use the – mode to find what digit is in the hundreds place, they will see í displayed to show that 6 is the digit in the hundreds place. TI-15: A Guide for Teachers – . íí...

  • Page 38

    32.4 decimeters (or rounded to 32 dm) because 1 dm = 10 cm, or it can be recorded as 3.25 meters (or rounded to 3 m), because 1 m = 100 cm. © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-15: A Guide for Teachers...

  • Page 39

    The Value of Place Value, Part A Collecting and Organizing Data 1. Use your base-ten materials and your calculator to explore how many tens, hundreds, and thousands are in a number. Record your observations in the table. What patterns do you see?

  • Page 40

    The Value of Place Value, Part B Collecting and Organizing Data 1. Use your base-ten materials and your calculator to explore how many tenths, hundredths, and thousandths are in a number. Record your observations in the table. What patterns do you see?

  • Page 41: What's The Problem

    5 for the equation ? - 10= 5, the calculator displays NO, then shows 5 - 10 < 5, and then returns to the original equation. TI-15: A Guide for Teachers Materials • TI-15 • counters • pencil • student...

  • Page 42

    How would using a greater than or less than symbol instead of an equal sign in the number sentence change your story? How would using a different operation in your number sentence change your story? © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-15: A Guide for Teachers...

  • Page 43

    Have students try to find an equation or inequality with exactly 0 whole number solutions, exactly 1 whole number solution, exactly 2 whole number solutions, more than 5 whole number solutions, etc. © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-15: A Guide for Teachers...

  • Page 44

    Write a number sentence using an operation and the “?” Write a story that describes a situation and asks a question that can be represented by the number sentence. © 2000 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ TI-15: A Guide for Teachers...

  • Page 45: How To Use The Ti.15, Display, Scrolling, Order Of Operations, Parentheses

    Display, Scrolling, Order of Operations, Parentheses Clearing and Correcting Mode Menus Basic Operations Constant Operations Whole Numbers and Decimals Memory Fractions Percent Powers and Square Roots Problem Solving: Auto Mode Problem Solving: Manual Mode Place Value TI-15: A Guide for Teachers...

  • Page 46

    An entry will always wrap at the operator. Results are displayed right- justified. If a whole problem will not fit on the first line, the result will display on the second line. TI-15: A Guide for Teachers...

  • Page 47

    ¨ ¬ ¦ Ÿ ® 8 (last) Because operations inside parentheses are performed first, you can use X Y to change the order of operations and, therefore, change the result. © 2000 T EXAS NSTRUMENTS NCORPORATED TI-15: A Guide for Teachers...

  • Page 48

    © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y 1 Û 2 Ý 3 Ú D i s p l a y Å 1 Û 2 Æ Ý 3 Ú TI-15: A Guide for Teachers Multiply Parentheses...

  • Page 49: Clearing And Correcting

    Pressing − and ” simultaneously resets the calculator. Resetting the calculator: Returns settings to their defaults. Clears memory and constants. Pressing ” does not affect the mode settings, memory, or constants. TI-15: A Guide for Teachers...

  • Page 50

    © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y 3 3 5 Û 1 0 á á 3 3 5 Ü 9 3 3 5 Ü 9 Ú 3 2 6 TI-15: A Guide for Teachers Clear ”...

  • Page 51

    D i s p l a y 1 5 6 9 Û 3 á 1 5 6 8 á 1 5 6 8 Û 3 á 1 5 6 8 Û 3 Ú 1 5 7 1 TI-15: A Guide for Teachers Backspace...

  • Page 52: Mode Menus

    ¢ to display the Fractions Mode menu. Press ® after you make your selection, then press ‡ or ¢ again to exit the menu. TI-15: A Guide for Teachers Options Auto 1 2 3 + – x P ? 11-.

  • Page 53

    11-. (Displays the number of ones, tens, hundreds, or thousands) 1-. (Displays the digit that is in the ones, tens, hundreds, or thousands place) TI-15: A Guide for Teachers Example Example 1234 For ‘: 12_ _ 1234 For ‘:...

  • Page 54

    U n/d Display Simplify Auto © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) Explanation Displays results as mixed numbers Displays results as improper fractions Allows manual simplification Automatically simplifies to most reduced form of fraction TI-15: A Guide for Teachers Example...

  • Page 55: Basic Operations

    All numbers used with £ must be positive whole numbers. If you attempt to divide by 0, an error message is displayed. T, U, V, W, ®, and £ work with the built-in constants. TI-15: A Guide for Teachers...

  • Page 56

    NSTRUMENTS NCORPORATED D i s p l a y 2 Û 5 4 Ü 6 Ú D i s p l a y 3 Ý 4 P 2 Ú TI-15: A Guide for Teachers Add, Subtract Multiply, Divide Equals ®...

  • Page 57

    10:00 a.m.? P r e s s D i s p l a y M 3 T 12 Ü 3 Û 1 2 Ú ® © 2000 T TI-15: A Guide for Teachers EXAS NSTRUMENTS NCORPORATED...

  • Page 58

    How many pieces will be left over? P r e s s D i s p l a y 27 £ 6 2 7 Þ 6 Ú 4 ½ 3 ® © 2000 T TI-15: A Guide for Teachers EXAS NSTRUMENTS NCORPORATED...

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    P r e s s ‡ ® ‡ 27 W 6 ® © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y Ù » Ä ¸ / ê á 2 7 Þ 6 Ú 4Ù5 TI-15: A Guide for Teachers Divide...

  • Page 60

    27 W 6 ® ¤® © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y Ù » Ä ¸ / êêêê á 2 7 Þ 6 Ú 4 êêê 4 êêê 4 êê TI-15: A Guide for Teachers Divide...

  • Page 61

    450 £ 60 ® © 2000 T EXAS NSTRUMENTS NCORPORATED ? minutes ? seconds D i s p l a y 4 5 0 Þ 6 0 Ú 7 ½ 3 0 TI-15: A Guide for Teachers Integer Divide £...

  • Page 62: Constant Operations

    (pressing − and ” simultaneously) or by pressing ‡, pressing $ to scroll to the CLEAR menu, selecting OP1 (or OP2) and pressing ®. Pressing − by itself does not clear the constant function. TI-15: A Guide for Teachers...

  • Page 63

    ( a d d 1 o n e a t a t i m e ) › › © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y Û 1 4 Û 1 5 Û 1 6 Û 1 TI-15: A Guide for Teachers Constant Operations ›...

  • Page 64

    ( initialize u s i n g 0 ) Continued © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y à êê ¼ Á á + Û 5 0 á TI-15: A Guide for Teachers Constant Operations ›...

  • Page 65

    Multiplication as “repeated addition” Continued P r e s s › › › › © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y TI-15: A Guide for Teachers...

  • Page 66

    › © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y Ý 5 1 á 1 Ý 5 5 Ý 5 2 5 Ý 5 1 2 5 TI-15: A Guide for Teachers Constant Operations › Multiply...

  • Page 67

    2 › 3 › 4 › © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y É 3 2 É 3 3 É 3 4 É 3 TI-15: A Guide for Teachers Constant Operations › Powers ¨...

  • Page 68

    Û 5 Op1 Op2 Ü 2 Op1 Op2 0 á Op1 Op2 0 Û 5 Op1 Op2 5 Ü 2 Op1 Op2 8 Ü 2 Op1 Op2 1 1 Ü 2 TI-15: A Guide for Teachers Constant Operations › œ...

  • Page 69

    D i s p l a y Ù ß Ä ¸ ê Þ ¼ Á Ï ¼ Á 2 êêêê ç ¼ Á Ï ¼ Á 2 êêêê ç ¼ Á Ï ¼ Á 2 êêêê ç á TI-15: A Guide for Teachers Mode Menu ‡...

  • Page 70: Whole Numbers And Decimals

    The examples on the transparency masters assume all default settings. The calculator automatically rounds the result to the number of decimal places selected. (Only the displayed value is rounded. The internally stored value is not rounded.) TI-15: A Guide for Teachers...

  • Page 71

    You must press ® before FIX takes effect. You can apply the FIX setting to an individual value or to the result of an operation. © 2000 T TI-15: A Guide for Teachers EXAS NSTRUMENTS NCORPORATED...

  • Page 72

    1 2 Ù 3 4 5 Ú 1 2 Ù 3 1 2 Ù 3 4 5 Ú 1 2 Ù 3 4 5 1 2 Ù 3 4 5 Ú 1 2 Ù 3 4 5 TI-15: A Guide for Teachers Fix decimal Š...

  • Page 73

    99 ® © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y 3 Ù 5 0 Û 2 Ù 7 5 Û Ù 9 9 Ú 7 Ù 2 4 TI-15: A Guide for Teachers Fix decimal Š...

  • Page 74

    ) © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y Ù Ó Ú Ø Ù Ó & Ù Ó Ú Ó ííí Ï Ø Ø Ù Ó TI-15: A Guide for Teachers Fix decimal Š...

  • Page 75: Memory

    The display remains the same. You can store integers, fractions, and decimals in memory. M is displayed anytime a value other than 0 is in memory. To clear the memory, press | twice. TI-15: A Guide for Teachers...

  • Page 76

    3 Ý 1 Ù 2 5 Ú 3 Ù 7 5 3 Ý Ù 2 0 Ú 0 Ù 6 3 Ý Ù 2 0 Ú 0 Ù 6 5 Ù 5 3 TI-15: A Guide for Teachers Store to Memory Memory Recall...

  • Page 77

    1 8 5 Þ 2 Ú 9 2 Ù 5 9 2 Ù 5 Û 9 0 Ù 5 Ú 1 8 3 1 8 3 Þ 2 Ú 9 1 Ù 5 TI-15: A Guide for Teachers Store to Memory Memory Recall...

  • Page 78: Fractions

    8. § displays the factor (divisor) used to simplify the last fraction result. You must be in Manual mode to use this function. Notes The examples on the transparency masters assume all default settings. TI-15: A Guide for Teachers...

  • Page 79

    You will need to clear and begin the entry again. If the decimal place is set to 0, the decimal equivalent for a fraction will not be displayed. TI-15: A Guide for Teachers...

  • Page 80

    © 2000 T EXAS NSTRUMENTS NCORPORATED pounds at D i s p l a y Û ííí ííí ííí ííí ííííí TI-15: A Guide for Teachers Numerator Key ž Denominator Key ¥ Unit Key  Mixed to Improper Conversion ¦...

  • Page 81

    D i s p l a y ííííí 1 8 S à ¾ á ííííí & à ¾ íííí ííííí & íííí íííí ííí à ¾ TI-15: A Guide for Teachers Numerator Key ž Denominator Key ¥ Simplify ¤ Factorial §...

  • Page 82

    © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y á íííí à ¾ íííí à ¾ Ô á íííí à ¾ Ô íííí ííí TI-15: A Guide for Teachers Numerator Key ž Denominator Key ¥ Simplify ¤...

  • Page 83

    © 2000 T EXAS NSTRUMENTS NCORPORATED to a D i s p l a y & íííí Ú íííí 0 Ù 5 & íííí 0 Ù 5 TI-15: A Guide for Teachers Numerator Key ž Denominator Key ¥ Fraction to Decimal Ÿ...

  • Page 84

    © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y Ù 5 Ú 0 Ù 5 & Ù 5 Ú íííí 0 Ù 5 TI-15: A Guide for Teachers Numerator Key ž Denominator Key ¥ Fraction to Decimal Ÿ...

  • Page 85

    D i s p l a y ¿ » Ä ¸ » Ä ¸ êêêêêê è æ êêêê Ú ííí íííí à ¾ ííí íííí íííí TI-15: A Guide for Teachers Numerator Key ž Denominator Key ¥ Fraction Modes ¢...

  • Page 86

    D i s p l a y ííí ííí 5 Ù 7 5 & íííííí 1 0 0 5 Ù 7 2 Ú 5 Ù 7 2 & ííííí 1 0 0 TI-15: A Guide for Teachers Numerator Key ž Denominator Key ¥...

  • Page 87: Percent

    Percent Keys 1. y converts to a percent. 2. ª enters a percent. © 2000 T EXAS NSTRUMENTS NCORPORATED Notes The examples on the transparency masters assume all default settings. TI-15: A Guide for Teachers...

  • Page 88

    0 Ù 2 5 D i s p l a y íííí àã 2 5 ã 1 0 0 D i s p l a y 3 à ã 3 0 0 ã TI-15: A Guide for Teachers Percent ª Convert to Percent...

  • Page 89

    1 0 0 N/D"n/d à ¾ íííííí íííí 1 0 0 N/D"n/d ííí à ¾ ííí 0 Ù 2 5 0 Ù 2 5 à ã 2 5 ã TI-15: A Guide for Teachers Percent ª Fraction to Decimal Ÿ...

  • Page 90

    3 1 Ù 6 7 Ý 1 5 ã Ú 4 Ù 7 5 3 1 Ù 6 7 Û 4 Ù 7 5 Ú 3 6 Ù 4 2 TI-15: A Guide for Teachers Percent ª Convert to Percent...

  • Page 91

    The examples on the transparency masters assume all default settings. Internally, pi is stored to 13 digits (3.141592653590). Only 9 decimal places are displayed. To convert from p to a decimal value, press Ÿ. Nine decimal places are displayed. TI-15: A Guide for Teachers...

  • Page 92

    © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y 2 Ý ß 2 Ý ß Ý 3 Ú Ô ß 1 8 Ù 8 4 9 5 5 5 9 2 TI-15: A Guide for Teachers ©...

  • Page 93

    D i s p l a y ß Ý ß Ý Ï Ð É Ð ß Ý Ï Ð É Ð Ú S 1 4 4 ß 4 5 2 Ù 3 8 9 3 4 2 1 TI-15: A Guide for Teachers ©...

  • Page 94

    Ò Ý ß Ý Ó É Ñ Ò Ý ß Ý Ó É Ñ Þ Ñ Ò Ý ß Ý Ó É Ñ Þ Ñ Ú 5 2 3 Ù 5 9 8 7 7 5 6 TI-15: A Guide for Teachers ©...

  • Page 95: Powers And Square Roots

    2. ¬ calculates the square root of positive values, including fractions. © 2000 T EXAS NSTRUMENTS NCORPORATED Notes The examples on the transparency masters assume all default settings. TI-15: A Guide for Teachers...

  • Page 96

    A = x = 90 P r e s s D i s p l a y 90 ¨ 2 × Ø É Ð Ú 8 1 0 0 ® © 2000 T TI-15: A Guide for Teachers EXAS NSTRUMENTS NCORPORATED...

  • Page 97

    36 m of carpet P r e s s ¬ 36 Y ® © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y â Å 3 6 Æ Ú TI-15: A Guide for Teachers Square Root ¬...

  • Page 98

    How many sections are there after ten folds? P r e s s D i s p l a y 2 ¨ 10 ® 2 É Ï Ø Ú 1 0 2 4 © 2000 T TI-15: A Guide for Teachers EXAS NSTRUMENTS NCORPORATED...

  • Page 99

    Ø Ù Ï Ð Ó Ü 2 É Ü Ñ Ú Ü Ø Ù Ï Ð Ó Ù 2 É Ü Ñ Ú Ï Ð Ó ê É Ü Ñ Ú Ö TI-15: A Guide for Teachers Powers ¨ Negative...

  • Page 100

    D i s p l a y 1 Ù 3 Ý Ï Ø É Ñ Ú 1 3 0 0 1 Ù 3 Ý Ï Ø É Ü Ñ Ú 0 Ù 0 0 1 3 TI-15: A Guide for Teachers Powers ¨...

  • Page 101: Problem Solving: Auto Mode

    (for example 5+2=? or 5+?=7 or 5?2=7). Man (Manual) If the answer is not correct, the TI-15 displays “no” and gives a hint in the form of “<” or “>”. After you enter three incorrect answers, the TI-15 provides the correct answer.

  • Page 102

    D i s p l a y ‹ Auto æ è êêêêê ‹ Auto ê ê ë ì ‹ Auto ê ê ë ì ‹ Auto 8 Û Ã Ú 8 0 8 TI-15: A Guide for Teachers Problem Solving ‹ Mode ‡...

  • Page 103

    Auto ê ê ë ì ‹ Auto Û Ü Ý Þ Ã ? ê ‹ Auto Û Ü Ý Þ Ã ? ê ‹ Auto 4 Ý 1 Ú Ã TI-15: A Guide for Teachers Problem Solving ‹ Mode ‡...

  • Page 104

    2 Û Ã Ú 7 ‹ Auto 2 Û 4 Ú 7 N » ¼ ‹ Auto 2 Û 4 Ç 7 ‹ Auto 2 Û 5 Ú 7 À ¹ ¾ TI-15: A Guide for Teachers Problem Solving ‹ Mode ‡...

  • Page 105

    ‡. P r e s s ‡ © 2000 T EXAS NSTRUMENTS NCORPORATED D i s p l a y ‹ Auto À ¹ ¾ s » ¼ TI-15: A Guide for Teachers Problem Solving ‹ Mode ‡...

  • Page 106

    ê ‹ Auto Û Ü Ý Þ Ã ? ê ‹ Auto 8 Ã 6 Ú 4 8 ‹ Auto 8 Ý 6 Ú 4 8 À ¹ ¾ s TI-15: A Guide for Teachers Problem Solving ‹ Mode ‡...

  • Page 107: Problem Solving: Manual Mode

    (?x?=24 has 8 solutions.) They must be in the form of ?operator?=number. In Problem Solving, you can view the history, but you cannot edit. To exit Problem Solving, press ‹. TI-15: A Guide for Teachers...

  • Page 108

    ‹ 5 Û Ã Ú 9 1 ¾ ¼ º ‹ 5 Û 3 Ç 9 » ¼ ‹ 5 Û 4 Ú 9 À ¹ ¾ TI-15: A Guide for Teachers Problem Solving ‹ Mode ‡ Missing element ...

  • Page 109

    á ‹ Ã Û Ã Ú 3 4 ¾ ¼ º ‹ 2 Û Ã Ú 3 ‹ 2 Û Ï Ú 3 À ¹ ¾ S TI-15: A Guide for Teachers Problem Solving ‹ Mode ‡ Missing element ...

  • Page 110

    Problems with no solution The TI-15 calculator is not designed to handle certain types of problems. These will result in a 0 SOL (no solution) response from the calculator. P r e s s ‹‡ " ® ‡ 1 U 2 ®...

  • Page 111

    5 Û 4 Ç 1 0 À ¹ ¾ S ‹ Ù 5 È Ù 5 0 » ¼ ‹ Ù 5 Ú Ù 5 0 À ¹ ¾ S TI-15: A Guide for Teachers Problem Solving ‹ Mode ‡ Equals ® Greater Than, Less Than Ž...

  • Page 112

    You can also display the scoreboard at any time by pressing ‡. P r e s s D i s p l a y ‡ ‹ À ¹ ¾ » ¼ © 2000 T TI-15: A Guide for Teachers EXAS NSTRUMENTS NCORPORATED...

  • Page 113

    4 " .01 Notes The examples on the transparency masters assume all default settings. The Place Value features work only if you are in Problem Solving Manual mode. To exit Problem Solving completely, press ‹. TI-15: A Guide for Teachers...

  • Page 114

    To enter a new number, however, you must press ”, enter the number, and then press Œ again. To exit Place Value, press ” and the TI-15 returns to Problem Solving, Manual mode. How to Use What’s the Digit Function Another way to display place value is to show the digit that is in the ones place, the tens place, etc.

  • Page 115

    1 2 3 4 Ù 5 6 7 í í í 4 Ù í í í ‹ ƒ 1 2 3 4 Ù 5 6 7 4 Ü È 1 TI-15: A Guide for Teachers Problem Solving ‹ Place Value Œ...

  • Page 116

    3 Ü È 0 Ù 0 1 ‹ ƒ 1 2 3 Ù 4 3 í í 3 Ù í í ‹ ƒ 1 2 3 Ù 4 3 3 Ü È 1 TI-15: A Guide for Teachers Problem Solving ‹ Place Value Œ...

  • Page 117

    1 2 3 4 Ù 5 6 7 1 2 í í Ù í í í ‹ ƒ 1 2 3 4 Ù 5 6 7 1 2 3 4 5 6 Ù í . - TI-15: A Guide for Teachers Problem Solving ‹ Place Value Œ...

  • Page 118

    á ‹ ƒ 1 2 3 4 Ù 5 6 7 ‹ ƒ 1 2 3 4 Ù 5 6 7 í 2 í í Ù í í í TI-15: A Guide for Teachers Problem Solving ‹ Place Value Œ...

  • Page 119

    Clears display and error condition. −” To reset the calculator, hold down − and ” simultaneously for a few seconds and release. MEM CLEARED shows on the display. This will completely clear the calculator, including all mode menu settings, all previous entries in history, all values in memory, and the display.

  • Page 120

    1 through 1000. If you perform a calculation with a fraction having a denominator greater than 1000, or if the results of a calculation yield a denominator greater than 1000, the TI-15 will convert and display the results in decimal format.

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    Rounds off results to the nearest tenth. Š™ Rounds off results to the nearest hundredth. Šš Rounds off results to the nearest thousandth. Šr Removes fixed-decimal setting and returns to floating decimal. © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-15: A Guide for Teachers...

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    Œš Tells how many thousandths a given number contains or what digit is in the thousandths place. © 2000 T EXAS NSTRUMENTS NCORPORATED (Continued) 1 2 3 + - Q P ? TI-15: A Guide for Teachers -1-.

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    An operator and operand is stored. Op1, Op2 Auto In calculator mode, Auto simplification of fractions to lowest terms is selected. In ‹, Problem Solving function is in Auto mode. Integer division function has been selected (appears only when cursor is over division sign).

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    Error following steps for using Op1 or Op2. Overflow Error Overflow. The result is too large to fit within the boundaries of the display. Underflow. Result is too small. Underflow Error © 2000 T EXAS NSTRUMENTS NCORPORATED TI-15: A Guide for Teachers...

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    For technical questions, call the Programming Assistance Group of Customer Support: phone: Customers outside the U.S., Canada, Puerto Rico, and the Virgin Islands Contact TI by e-mail or visit the TI Calculator home page on the World Wide Web. e-mail: Internet: Product Customers in the U.S.

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    TI strongly recommends that you insure the product for value prior to mailing. Software. Software is licensed, not sold. TI and its licensors do not warrant that the software will be free from errors or meet your specific requirements.

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