Remainder Patterns

Looking for Patterns with Remainders

Lesson Objective: Students will be looking for patterns when the numbers 1 to 100 are divided by various numbers.

Supplies and Materials:

	TI-15 Calculator
	Overhead TI-15 calculator
	Crayons or colored pencils
	Activity Sheet
	Homework Assignment
	Hundreds Table

Students will be paired to work on this task. Each pair of students will be assigned a different divisor from 2-10.

Students are to use the Int ÷ key on their calculator to divide all the numbers from 1-100. As the students get a remainder they should list it in a square in the chart at the top of the paper, color in that square one color, and then color in the number on the hundreds chart the same color. (The divisor and the remainder should be the same color.)

After students color in the hundreds chart and the remainder chart display the charts so the entire class can view all the charts.

Ask students to think about the following questions with their partners:

What patterns do you notice on your hundreds chart?

Why do the colors go in a particular sequence on the hundreds chart?

What happened to the remainder when the dividend increased by one (and the divisor stayed the same)?

What happened when another group used a different divisor? How did the pattern change?

What would you think would happen if you continued beyond 100? Would the pattern continue?

What color would 1000 be?

What general statement could you make about remainders in whole-number division?

Homework Assignment: If you were given the divisor of 12 and asked to divide the numbers from 1 to 100 by 12, color code the remainders and hundreds chart, describe as many things as your know about the remainders without actually dividing these numbers or using a calculator.