We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors or numbers arranged in a certain order. Some patterns don’t grow or shrink, just repeat themselves. Such patterns are known as repeating patterns. A pattern consists of a group of units that follow when repeating or changing a rule. Let’s take a quick look at what we learned about patterns before.


I. Complete the series by drawing the next figure:

Complete the serial samples

Here are some samples. Follow them and expand them:

(I)

1 × 9 + 2 = 11

12 × 9 + 3 = 111

123 × 9 + 4 = 1111

1234 × 9 + 5 = 11111

12345 × 9 + 6 = _______

123456 × 9 + 7 = _______

(ii)

1 × 8 + 1 = 9

12 × 8 + 2 = 98

123 × 8 + 3 = 987

1234 × 8 + 4 = 9876

12345 × 8 + 5 = _______

123456 × 8 + 6 = _______

(iii)

111 ÷ 3 = 37

222 ≤ 6 = 37

333 ÷ 9 = 37

444 ÷ 12 = 37

555 ÷ 15 = _______

666 ÷ 18 = _______

(iv)

9 + 1 = 10

90 + 10 = 100

900 + 100 = 1000

9000 + 1000 = _______

90000 + 10000 = _______

900000 + 100000 = _______

Follow the pattern of the following products and expand them further:

(I)

5 × 5 = 25

55 × 5 = 275

555 x 5 = 2775

5555 × 5 = 27775

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

55555555 × 5 = 277777775

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

(ii)

404 × 404 = 163216

505 × 505 = 255025

606 × 606 = 367236

707 × 707 = 499849

808 × 808 = 652864

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _

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In Patterns, here are some unresolved questions that students can use to understand and complete the questions about patterns.

Related concept

Patterns and mental math

Count numbers in the correct pattern

Pattern with odd numbers

Three consecutive numbers

Number formed by every power

Product of the number

Magic square

Square of a number

Difference of squares

Multiplied by itself

puzzle

template

Number systems

4th grade math activities

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