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Adam's Alphabet

A free Grade 6 math library — clear lessons, hand-picked video walkthroughs, printable worksheets, and quizzes. Built by a student tutor for students who learn differently.

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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
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Unit 1~55 min4 lessons · 9 videosGADOE framework↗

Number System & Operations

Master factors, multiples, fractions, and decimal operations. This is the foundation every later unit relies on.

Start with lessons →Jump to videosTake the quiz

Study guide

Unit 1: Number System & Operations

Your progress

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On this page

  • Written lessons
  • Objectives & vocabulary
  • Video walkthroughs
  • Worksheets
  • Extra practice
  • Unit quiz
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Written lessons

Quick read-throughs in plain language — then hit the videos below.

A factor is a number that goes into another evenly. The factors of 12 are 1, 2, 3, 4, 6, and 12. A multiple is what you get when you skip-count: 4, 8, 12, 16…

GCF = biggest number two numbers share. LCM = smallest number both divide into. For 8 and 12, GCF is 4 and LCM is 24.

Try it

Find the GCF and LCM of 6 and 9.

Tip: Listing factors helps on small numbers. For bigger ones, try breaking into primes.

Goals

Learning objectives

By the end of this unit, you should be able to:

  • ✓Find factors, multiples, GCF, and LCM
  • ✓Add, subtract, multiply, and divide fractions
  • ✓Operate fluently with multi-digit decimals
  • ✓Decide when an estimate is good enough
  • ✓Translate word problems into number sentences

Key vocabulary

Factor
A number that divides evenly into another.
Multiple
The product of a number and an integer.
GCF
Greatest Common Factor — the biggest shared factor.
LCM
Least Common Multiple — the smallest shared multiple.
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthroughs

Each video covers one topic from this unit — read the short blurb below to find the right one.

Math Antics

Prime Factorization

Break any number into its prime building blocks.

Watch on YouTube
Math Antics

Long Division

A clean, step-by-step method for dividing large numbers.

Watch on YouTube
Math Antics

Adding & Subtracting Fractions

Find common denominators, then add or subtract.

Watch on YouTube
Math Antics

Multiplying Fractions

Multiply across the top and bottom, then simplify.

Watch on YouTube
Math Antics

Dividing Fractions

Flip the second fraction, then multiply (keep–change–flip).

Watch on YouTube
Virtual Nerd

Subtracting Decimals

Line up the decimal points, then subtract like whole numbers.

Watch on YouTube
Virtual Nerd

Multiplying Decimals

Multiply first, then place the decimal point.

Watch on YouTube
Virtual Nerd

Multiplying Fractions (walk-through)

A second take on multiplying fractions with extra examples.

Watch on YouTube
Virtual Nerd

Adding Fractions (walk-through)

Same and different denominators, side by side.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice worksheets

Adam's curated problem sets — preview here or open in Google Drive.

Worksheet 1 — Operations practice

Mixed practice covering the unit's core operations.

Open in DriveDownload

Worksheet 2 — Word problems

Apply operations to real situations.

Open in DriveDownload
More practice

External resources

Hand-picked links from Khan Academy and trusted worksheet libraries.

K5 Learning

K5 Learning — Grade 6 worksheets

Free Grade 6 worksheets across all topics.

Open resource
Math Worksheets 4 Kids

Factors & prime factorization

Open resource
Math Worksheets 4 Kids

Greatest Common Factor

Open resource
Math Worksheets 4 Kids

Least Common Multiple

Open resource
Math Worksheets 4 Kids

Fractions practice

Open resource
Math Worksheets 4 Kids

Decimal operations

Open resource
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Step 4 · Check

Unit 1 quiz

A few quick questions to make sure the big ideas stuck. Retake as many times as you want.

Unit 1: Number System & Operations

Question 1 of 4

Easy

What is 3/4 ÷ 2/3?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Back toMathematics library→Next up · Unit 2Ratios & Proportional Relationships