MICRO LESSON 1
Natural Numbers
Picture it:
Imagine counting students entering a classroom: 1, 2, 3, 4...
Simple:
Natural numbers are counting numbers beginning from 1.
Example:
1 notebook, 2 pens, 3 students.
Quick Check:
Is 0 included in natural numbers in the usual school definition?
MICRO LESSON 2
Whole Numbers
Picture it:
When every chocolate is eaten, zero chocolates remain.
Simple:
Whole numbers are natural numbers together with zero.
Example:
0, 1, 2, 3, 4...
Quick Check:
What is the smallest whole number?
MICRO LESSON 3
Integers
Picture it:
Temperature can move below zero, so we need negative numbers.
Simple:
Integers include negative numbers, zero and positive numbers.
Example:
-5, -1, 0, 4, 9.
Quick Check:
Is -7 a whole number or an integer?
MICRO LESSON 4
Rational Numbers
Picture it:
A pizza divided into equal parts can be written as a fraction.
Simple:
A rational number can be written as p/q, where p and q are integers and q is not zero.
Example:
1/2, -3/4, 7/1, 0.25.
Quick Check:
Can 0.75 be written as a fraction?
MICRO LESSON 5
Irrational Numbers
Picture it:
Some decimals never end and never repeat in a fixed pattern.
Simple:
Irrational numbers cannot be written as an exact fraction p/q.
Example:
√2, √3 and π.
Quick Check:
Is 0.333... irrational?
MICRO LESSON 6
Decimal Expansions
Picture it:
Decimals reveal whether a rational number terminates or repeats.
Simple:
A rational number has a terminating or repeating decimal expansion.
Example:
1/4 = 0.25; 1/3 = 0.333...
Quick Check:
Does 2/5 terminate?
MICRO LESSON 7
Real Numbers on a Number Line
Picture it:
Picture a road with zero in the middle, negatives on the left and positives on the right.
Simple:
Every real number has a unique point on the number line.
Example:
-2 lies left of 0; √2 lies between 1 and 2.
Quick Check:
Which is greater: -2 or -5?
MICRO LESSON 8
Laws of Exponents
Picture it:
Instead of writing 2×2×2×2, we write 2⁴.
Simple:
Exponents shorten repeated multiplication and follow fixed rules.
Example:
a²×a³=a⁵; a⁵÷a²=a³.
Quick Check:
What is 3²×3³?