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Grade 8
Number
1. NL.SO.8N1
1.1 Square and square roots
Why Learn Logarithms?
Logarithms turn huge, hard-to-compare ranges into small, readable numbers, from pH to earthquakes to sound.
What You'll Learn
A logarithm answers: what power gives this number, from this base?
The pH scale uses pH = negative log of hydrogen ion concentration.
The Richter scale measures earthquake magnitude with a base-10 logarithm of ground motion.
The decibel scale measures sound intensity using ten times the logarithm of intensity.
Logarithmic scales turn tenfold physical changes into one added step, so huge ranges become small numbers.
What You'll Practice
1
Finding square roots of perfect squares like 64, 225, and 676
2
Using prime factorization to simplify square roots step-by-step
3
Evaluating expressions with negatives outside the radical
4
Identifying undefined square roots with negatives inside the radical
Why This Matters
Mastering squares and square roots is essential for algebra, geometry, and beyond. You'll use these skills to solve quadratic equations, work with the Pythagorean theorem, and handle scientific notation in physics and engineering applications.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Learning resources
Skills
Square Roots
Perfect Squares
Prime Factorization
Radicals
Squaring Numbers
Even Roots
Simplification
NL Curriculum Aligned