Repeating Elevens

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: PreAlgebra: Number Sense and Operations

Level

6-8

Activity Time

60 Minutes

TI Calculator

TI-30 X IIS™ / TI-30Xa

Other Materials

This is Activity 3 from the EXPLORATIONS Book:
Investigating Mathematics with Calculators in the Middle Grades: Activities for the TI-30Xa SE and TI-34

Resource Types

Lessons

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Repeating Elevens

Activity Overview

Students compute multiples of 11, 111, 1111, and so forth, search for patterns in the products, and write generalizations of those patterns.

Before the Activity

See the attached PDF file for detailed instructions for this activity

Print pages 19 - 22 from the attached Student PDF file for the class

During the Activity

Distribute the pages to the class.

Follow the activity procedures:

Multiply single digit and two-digit numbers by 11 and record the products

Observe that the product is 10 times the number plus the number itself

Multiply other numbers with 11 and predict the result

Use the calculator to verify the prediction

Multiply two-digit numbers with 111 and note that the product is 100 times the number plus 10 times the number plus the number itself

Recognize the fact that when you multiply 111 by any two-digit number with a digit sum less than 10, the thousands digit of the product is the same as the tens digit of the given number, the hundreds and tens digits of the product are the sum of the digits of the given number, and the ones digit of the product is the same as the ones digit of the given number

Multiply two-digit numbers with 1111 and 11111 and generalize the patterns

After the Activity

Students complete the activity pages and answer questions.

Review student results

As a class, discuss questions that appeared to be more challenging

Re-teach concepts as necessary

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes Appendix PDF Teacher Notes PDF Student Activity PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: PreAlgebra: Number Sense and Operations

Level

6-8

Activity Time

60 Minutes

TI Calculator

TI-30 X IIS™ / TI-30Xa

Other Materials

This is Activity 3 from the EXPLORATIONS Book:
Investigating Mathematics with Calculators in the Middle Grades: Activities for the TI-30Xa SE and TI-34

Resource Types

Lessons

Report an Issue

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Repeating Elevens

Repeating Elevens

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