Real Number Mosaic Worksheet
Grade 8 Math • Real Number System
Real Number Mosaic Worksheet
Name:
Date:
Helpful Clue Box & Color Key
Yellow
Natural
Counting numbers:
1, 2, 3, 8...
Orange
Whole
Zero & counting:
0, 1, 2, 3...
Rose Red
Integer
Negative / positive:
-6, -10, 5...
Sky Blue
Rational
Fractions & decimals:
\(\frac{1}{2}\), 0.75
Green
Irrational
Never-ending decimals:
\(\pi\), \(\sqrt{2}\)
| # | Number | Hint / Helper Note | Choose the Best Category | My Color |
|---|
| 1 | \( 8 \) | Regular counting number | □ Natural □ Whole □ Integer □ Rational □ Irrational | |
| | | | |
| 2 | \( -6 \) | Negative whole number (no decimal) | □ Natural □ Whole □ Integer □ Rational □ Irrational | |
|
| 3 | \( \frac{1}{2} \) | A fraction (equals \(0.5\)) | □ Natural □ Whole □ Integer □ Rational □ Irrational |
|
| 4 | \( 0 \) | Zero (start of the whole numbers) | □ Natural □ Whole □ Integer □ Rational □ Irrational |
|
| 5 | \( \pi \) | Never ends, no pattern (\(3.1415...\)) | □ Natural □ Whole □ Integer □ Rational □ Irrational |
|
| 6 | \( \sqrt{16} \) | \(4 \times 4 = 16\), so this simplifies to 4 | □ Natural □ Whole □ Integer □ Rational □ Irrational |
|
| 7 | \( -10 \) | Negative number with no fraction | □ Natural □ Whole □ Integer □ Rational □ Irrational |
|
| 8 | \( 0.75 \) | Terminating decimal (equals \(\frac{3}{4}\)) | □ Natural □ Whole □ Integer □ Rational □ Irrational |
|
| 9 | \( \sqrt{2} \) | Non-perfect square (\(1.4142...\)) | □ Natural □ Whole □ Integer □ Rational □ Irrational |
|
| 10 | \( \frac{0}{5} \) | \(0 \div 5 = 0\), so this simplifies to 0 | □ Natural □ Whole □ Integer □ Rational □ Irrational |
|
Great job! Turn to Page 2 to color your Stained-Glass Rosette! Page 1 of 2
Part 2 • Coloring Activity
Stained-Glass Real Number Rosette
Color by Number (1 to 10)
Big, easy-to-color shapes!
Color Key:
1, 6 = Yellow
4, 10 = Orange
2, 7 = Rose Red
3, 8 = Sky Blue
5, 9 = Green
5 5 5 5 9 9 9 9 3 3 3 3 8 8 8 8 7 7 7 7 2 2 2 2 2 2 2 2 6 6 6 6 1 1 1 1 10 10 10 10 4
Quick Math Check (Fill in the blanks)
1. Zero Check (#4):
The number \(0\) is classified as a Whole Number because it represents zero items, but we do not start counting on our fingers with zero!
2. Never-Ending Decimals (#5):
The symbol \(\pi\) is an Irrational Number because its decimal numbers go on forever without repeating a pattern!
Real Number Mosaic Answer Key
Teacher Answer Key • SPED Adapted Version
Real Number Mosaic Answer Key
Master Grading Key (10 Problems)
Yellow
Natural
#1, #6
Orange
Whole
#4, #10
Rose Red
Integer
#2, #7
Sky Blue
Rational
#3, #8
Green
Irrational
#5, #9
| # | Number | Mathematical Reason | Correct Classification | Mosaic Color |
|---|
| 1 | \( 8 \) | Standard counting / natural number | ☑ Natural | Yellow |
| 2 | \( -6 \) | Negative whole number with no decimals | ☑ Integer | Rose Red |
| 3 | \( \frac{1}{2} \) | Fraction of two integers (equals \(0.5\)) | ☑ Rational | Sky Blue |
| 4 | \( 0 \) | Zero belongs to the whole numbers | ☑ Whole | Orange |
| 5 | \( \pi \) | Non-terminating, non-repeating decimal | ☑ Irrational | Green |
| 6 | \( \sqrt{16} \) | Simplifies to \(4\) (perfect square root) | ☑ Natural | Yellow |
| 7 | \( -10 \) | Negative whole integer value | ☑ Integer | Rose Red |
| 8 | \( 0.75 \) | Terminating decimal (can be written as \(\frac{3}{4}\)) | ☑ Rational | Sky Blue |
| 9 | \( \sqrt{2} \) | Non-perfect square radical (\(1.4142...\)) | ☑ Irrational | Green |
| 10 | \( \frac{0}{5} \) | Simplifies to \(0\), making it a whole number | ☑ Whole | Orange |
Teacher Facilitation Tip: Remind students that 0 is the key number in the "Whole" set! Page 1 of 2
Completed Visual Grading Canvas
Stained-Glass Real Number Rosette (Key)
Quick Visual Inspection
Compare 10-region color symmetry
Verified Colors:
1, 6 = Yellow
4, 10 = Orange
