Teacher Guide
Page 2
TI.15: A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Jane Schielack
TI.15: A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Jane Schielack
Teacher Guide
Page 3
... and assisted in evaluating the appropriateness of the examples in classes, workshops, or seminars, provided each copy made shows the copyright notice. Important Notice Regarding Book Materials Texas Instruments makes no event shall Texas Instruments be liable to anyone for a particular purpose, regarding any... is hereby granted to teachers to Reprint or Photocopy Permission is expressly prohibited. These pages are designed to this address: Texas Instruments Incorporated 7800 Banner Drive, M/S 3918 Dallas, TX 75251 Attention: Manager, Business Services If you request photocopies of all ...
... and assisted in evaluating the appropriateness of the examples in classes, workshops, or seminars, provided each copy made shows the copyright notice. Important Notice Regarding Book Materials Texas Instruments makes no event shall Texas Instruments be liable to anyone for a particular purpose, regarding any... is hereby granted to teachers to Reprint or Photocopy Permission is expressly prohibited. These pages are designed to this address: Texas Instruments Incorporated 7800 Banner Drive, M/S 3918 Dallas, TX 75251 Attention: Manager, Business Services If you request photocopies of all ...
Teacher Guide
Page 4
...: Manual Mode ......100 14 Place Value 106 Appendix A A-1 Quick Reference to Keys Appendix B B-1 Display Indicators Appendix C C-1 Error Messages Appendix D D-1 Support, Service, and Warranty © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers iii
...: Manual Mode ......100 14 Place Value 106 Appendix A A-1 Quick Reference to Keys Appendix B B-1 Display Indicators Appendix C C-1 Error Messages Appendix D D-1 Support, Service, and Warranty © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers iii
Teacher Guide
Page 5
The Activities section is designed to help develop mathematical concepts while incorporating the TI-15 as a teaching tool. They are intended to perform the activity. • A student activity sheet. Chapters are shown in the examples, the location of those keys on an illustration of the TI-15 keyboard. The key(s) being discussed are numbered and include the following: • An introductory page describing the calculator keys presented in black on the TI-15, and any pertinent notes about their functions. • Transparency masters following : • An overview of the ...
The Activities section is designed to help develop mathematical concepts while incorporating the TI-15 as a teaching tool. They are intended to perform the activity. • A student activity sheet. Chapters are shown in the examples, the location of those keys on an illustration of the TI-15 keyboard. The key(s) being discussed are numbered and include the following: • An introductory page describing the calculator keys presented in black on the TI-15, and any pertinent notes about their functions. • Transparency masters following : • An overview of the ...
Teacher Guide
Page 6
...the second line. Problem Solving (Manual Mode) lets students compose their own problems, which are displayed in a given number. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers v The second line displays up . If an entry will not fit on two lines, it will...menu list. or " to the previous screen without selecting the item, press ". you press ®. Problem Solving (Auto Mode) provides a set of electronic exercises to challenge themselves with basic math operations or place value. Problem Solving (Place Value) lets students display the place value of...
...the second line. Problem Solving (Manual Mode) lets students compose their own problems, which are displayed in a given number. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers v The second line displays up . If an entry will not fit on two lines, it will...menu list. or " to the previous screen without selecting the item, press ". you press ®. Problem Solving (Auto Mode) provides a set of electronic exercises to challenge themselves with basic math operations or place value. Problem Solving (Place Value) lets students display the place value of...
Teacher Guide
Page 7
The display, pending operations, settings, and memory are retained. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for about 5 minutes, Automatic Power Down (APD) turns it off automatically. Press − after APD. ...; and " simultaneously or pressing ‡, selecting RESET, selecting Y (yes), and then pressing ® resets the calculator. Resetting the calculator: • Returns settings to their defaults: Standard notation (floating decimal), mixed numbers, manual simplification, Problem Solving Auto mode, and Difficulty Level 1 (addition) in Problem Solving. •...
The display, pending operations, settings, and memory are retained. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for about 5 minutes, Automatic Power Down (APD) turns it off automatically. Press − after APD. ...; and " simultaneously or pressing ‡, selecting RESET, selecting Y (yes), and then pressing ® resets the calculator. Resetting the calculator: • Returns settings to their defaults: Standard notation (floating decimal), mixed numbers, manual simplification, Problem Solving Auto mode, and Difficulty Level 1 (addition) in Problem Solving. •...
Teacher Guide
Page 8
Activities Patterns in Percent 2 Fraction Forms 6 Comparing Costs 11 Number Shorthand 15 Related Procedures 20 In the Range 24 The Value of Place Value 29 What's the Problem? 34 © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 1
Activities Patterns in Percent 2 Fraction Forms 6 Comparing Costs 11 Number Shorthand 15 Related Procedures 20 In the Range 24 The Value of Place Value 29 What's the Problem? 34 © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 1
Teacher Guide
Page 9
... the lefthand column of $20 = $2. For example, to show 10% of one table all the way down and just change the total quantity? © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 2 Patterns in Percent Overview Students will use the ª key to collect data about percent based on the patterns...
... the lefthand column of $20 = $2. For example, to show 10% of one table all the way down and just change the total quantity? © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 2 Patterns in Percent Overview Students will use the ª key to collect data about percent based on the patterns...
Teacher Guide
Page 10
Analyzing Data and Drawing Conclusions To focus students' attention on the 2 items compare? © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for patterns in their data, ask questions such as: • How are the percentages (amounts of tax) in your 5% table like ...
Analyzing Data and Drawing Conclusions To focus students' attention on the 2 items compare? © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for patterns in their data, ask questions such as: • How are the percentages (amounts of tax) in your 5% table like ...
Teacher Guide
Page 11
Cost of Item Amount of Tax in Amount of Tax in the table below, and then look for Teachers 4 Name Patterns in Percent Date Collecting and Organizing Data Use your calculator to collect data about percent, organize it in Metropolis West Metropolis East Tax Rate: ____% Tax Rate: ____% © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for patterns.
Cost of Item Amount of Tax in Amount of Tax in the table below, and then look for Teachers 4 Name Patterns in Percent Date Collecting and Organizing Data Use your calculator to collect data about percent, organize it in Metropolis West Metropolis East Tax Rate: ____% Tax Rate: ____% © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for patterns.
Teacher Guide
Page 12
Repeat the activity, changing the percents in the left column while keeping the total quantity constant. What conjectures can you make ? © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 5 What conjectures can you make from these patterns? 3. Repeat the activity with a different percent in the left column and compare your tables? 2. Name Patterns in your results. 4. Now what patterns do you see in Percent Date Analyzing Data and Drawing Conclusions 1. What patterns do you see ?
Repeat the activity, changing the percents in the left column while keeping the total quantity constant. What conjectures can you make ? © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 5 What conjectures can you make from these patterns? 3. Repeat the activity with a different percent in the left column and compare your tables? 2. Name Patterns in your results. 4. Now what patterns do you see in Percent Date Analyzing Data and Drawing Conclusions 1. What patterns do you see ?
Teacher Guide
Page 13
...each bowl would receive 3 half cups, or 3/2 cups of sugar. • If a 1-cup measuring cup was used . © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for fraction display and make generalizations from the patterns they could be represented by 6 P 4 or 6/4 (entered ...on the calculator as 6 4 ¥). Encourage them all to create fractions under the different mode settings for Teachers 6 Grades 4 - 6 Math Concepts • division • multiplication • common factors • equivalent fractions Materials • TI-15 ...
...each bowl would receive 3 half cups, or 3/2 cups of sugar. • If a 1-cup measuring cup was used . © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for fraction display and make generalizations from the patterns they could be represented by 6 P 4 or 6/4 (entered ...on the calculator as 6 4 ¥). Encourage them all to create fractions under the different mode settings for Teachers 6 Grades 4 - 6 Math Concepts • division • multiplication • common factors • equivalent fractions Materials • TI-15 ...
Teacher Guide
Page 14
...generalizations. Collecting and Organizing Data To guide students in creating data that occur. Have students explore the quotient with the settings n n d man? Example: After exploring with denominators of 2 and 3, you choose to explore with ? Why?...enter 6 4 ¥. With the settings U d auto? • What denominator are you get with a denominator of settings and discuss the different displays that will look like the following: n d man 6 4 n d auto 3 2 U n d man 1 2 4 U n d auto 1 1 2 © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for 6 ÷...
...generalizations. Collecting and Organizing Data To guide students in creating data that occur. Have students explore the quotient with the settings n n d man? Example: After exploring with denominators of 2 and 3, you choose to explore with ? Why?...enter 6 4 ¥. With the settings U d auto? • What denominator are you get with a denominator of settings and discuss the different displays that will look like the following: n d man 6 4 n d auto 3 2 U n d man 1 2 4 U n d auto 1 1 2 © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for 6 ÷...
Teacher Guide
Page 15
...the Investigation Have students brainstorm situations in which they would prefer to use each of the combinations of settings of fraction forms. Example: • Wneheedntowboerkaindgdewdi,tuhspinrogbtahbeilnditimesatnhsaettmtinagys would keep the denominators of the probabilities all the ... settings would make mental addition easier. • In a situation where estimanted results are related as : • What patterns do you see quickly the whole number component of the result and whether the additional fraction part was more or less than ½. © 2000 TEXAS INSTRUMENTS INCORPORATED...
...the Investigation Have students brainstorm situations in which they would prefer to use each of the combinations of settings of fraction forms. Example: • Wneheedntowboerkaindgdewdi,tuhspinrogbtahbeilnditimesatnhsaettmtinagys would keep the denominators of the probabilities all the ... settings would make mental addition easier. • In a situation where estimanted results are related as : • What patterns do you see quickly the whole number component of the result and whether the additional fraction part was more or less than ½. © 2000 TEXAS INSTRUMENTS INCORPORATED...
Teacher Guide
Page 16
... the table below. Fraction Forms Name Date Collecting and Organizing Data 1. Numerator Denominator n d Man 0 n n n d Auto U d Man U d Auto 1 2 3 4 © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide 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. Select...
... the table below. Fraction Forms Name Date Collecting and Organizing Data 1. Numerator Denominator n d Man 0 n n n d Auto U d Man U d Auto 1 2 3 4 © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide 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. Select...
Teacher Guide
Page 17
Try the activity again with a different denominator and compare your results with the two denominators. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 10 Fraction Forms (Continued) Analyzing Data and Drawing Conclusions 1. What patterns do you make? 3. What generalizations can you see? 2.
Try the activity again with a different denominator and compare your results with the two denominators. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 10 Fraction Forms (Continued) Analyzing Data and Drawing Conclusions 1. What patterns do you make? 3. What generalizations can you see? 2.
Teacher Guide
Page 18
.... • Finding the quotient in fraction form. • Finding the quotient in decimal form and compare the results. Have students use the W key. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for each school in fraction or decimal form. To display an integer quotient with the quotient in decimal form. Grades...
.... • Finding the quotient in fraction form. • Finding the quotient in decimal form and compare the results. Have students use the W key. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for each school in fraction or decimal form. To display an integer quotient with the quotient in decimal form. Grades...
Teacher Guide
Page 19
... the answer displayed. Example: A student may see that 80 x 110 could be done mentally, and the key presses could be simplified to pay. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for each school has to 8800 V .4 W 6 ®. • How are they all involve finding how many dollars are left over. they...
... the answer displayed. Example: A student may see that 80 x 110 could be done mentally, and the key presses could be simplified to pay. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for each school has to 8800 V .4 W 6 ®. • How are they all involve finding how many dollars are left over. they...
Teacher Guide
Page 20
... use ? Some students may vary. If you enter 586.666667 x 6 and press ®, you get $3520. Although the fraction form of 3520.02. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 13 For the remainder form, you enter 586.67, the calculator uses this number for the factor, showing the...
... use ? Some students may vary. If you enter 586.666667 x 6 and press ®, you get $3520. Although the fraction form of 3520.02. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 13 For the remainder form, you enter 586.67, the calculator uses this number for the factor, showing the...