The Wonders Of The Number Chart (Page 3 of 4) in pdf

Activity 13: The Ultimate Addition Challenge

This activity investigates different ways sets of numbers can be added.

Following in the footsteps of a great mathematician name Gauss, have student add up all the numbers on the number chart.

Before they begin, tell students the story of how one day a teacher asked the students to add together all of the numbers from 0-

100. The teacher hoped that this activity would keep the students busy for some time. However, one student, Carl Friedrich

Gauss (1777-1855), solved the problem in less than 2 minutes. How did he do it? Challenge students to figure out how Gauss

added all of the numbers so quickly. Gauss summed the integers from 1 to 100 instantly by spotting that the sum was 50 pairs

of numbers each pair summing to 101 which equals 5050. What would the total be if you added the numbers from 0-99?

Activity 14: Arrow Clues

This activity provides reinforcement in counting by tens and ones.

Choose a starting number and a secret number and a secret number. Using arrow clues, tell students how to find the secret

number. Horizontal arrows move forward or backward one space as they count by ones. Vertical arrows move up or down by

tens. For example have students start on 47. Show them the following arrow clues.

Student move one space to the right, then another space to the right. Next, students

Move down a row four times. They should land on 89.

Have students write the equation to describe the moves to get from the starting number to the secret number.

For example: 47 + 1 + 1 = 10 + 10 + 10 + 10 =89

Activity 15: Skip Counting or Naming Multiples

This activity reinforces an understanding of skip counting, multiples and multiplication.

 Have students cover the numbers as they skip count by twos (0, 2, 4, 6, 8, 10…98). Have students identify the pattern.

The numbers cover make five straight horizontal lines. These are the even numbers and are the multiples for 2. These

numbers all end with 0, 2, 4, 6, 8.

 Have students cover the numbers as they skip count by threes. Have students identify the patterns. The multiples of 3

form diagonal lines. The sums of the digits are 3, 6, 9, 12, 15, 18.

 Have students cover the numbers as they skip count by 4, 5, 6, 7, 8, 9, and 10. Discuss the patterns and relationships.

Activity 16: Finding Common Multiples

This activity reinforces an understanding of skip counting and multiples.

Have the students cover the multiples of 3. Next have students cover the multiples of 4. Have students record the numbers that

have two chips on them (12, 24, 36, 48, 60, 72, 84, 96). Explain that these numbers are called common multiples. Have

students identify the least common multiple (12). Have students identify the greatest common multiple for 3 and 4 shown on

the number chart (96). Have students identify other common, least common and greatest common multiples.

Activity 17: Prime Time

This activity introduces the students to prime numbers.

Have students predict how many prime numbers are between 0 and 99. Have students cover the numbers as you give the

following directions. Cover all the multiples of 2 beginning with the number 4. Cover all of the multiples of 3 beginning with

6. Cover all the multiples of 4. Cover all the multiples of 5 beginning with 10. Cover all the multiples of 6. Cover all of the

multiples of 7 beginning with 14. Identify the remaining numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,

61, 67, 71, 73, 79, 83, 89, 97) these are the prime numbers. Explain that prime numbers only have two factors, 1 and the

number itself. Primes are only divisible by themselves and one.

Activity 18: Money Values

This activity reinforces the values of coins.

Have student cover numbers that have the same value as:

3 nickels

1 quarter, 1 dime, and 2 pennies

1 quarter and 8 pennies

4 nickels and 4 pennies

2 quarters, 2 dimes, 1 nickel and 2 pennies

1 quarter

1 dime, 2 nickels and 6 pennies

2 quarters, 1 dime, 1 nickel and 1 penny

3 quarters, 2 nickels, and 1 penny

6 dimes, 2 nickels, and 3 pennies

2 quarters, 2 dimes, 2 nickels and 4 pennies

3 quarters and 1 dime

2 dimes, 4 nickels and 4 pennies

2 quarters and 1 nickel

19 nickels

Activity 19: The Answer Stacks Up!

This activity reinforces mathematical thinking.

Have children use their number chart to solve the riddle to guess the secret number.

 Example #1: Cover numbers whose ten’s digit is one more than the one’s digit. Of the numbers that have been covered,

stack a second chip on top of all of the odd numbers. Place a third chip on the stack of numbers divisible by 5. Which

number has the most chips stacked on it? That’s the answer!

 Example #2: Cover numbers whose digits are both the same. Place a chip on the stack of numbers whose sum of their

digits is even and the product is odd. Stack a chip on numbers whose sum of their digits is 3 less than their products.

Which number has the most chips stacked on it? That’s the answer!

The Wonders Of The Number Chart Page 3

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