Free Math Lessons for Kids
100+ step-by-step arithmetic lessons for ages 5–12. Master addition, subtraction, multiplication, division, fractions, and mental math with visual examples, guided practice, and instant feedback. Aligned with Common Core and NCTM standards. No ads, no cost.
Start LearningReinforce Lessons with Printable Worksheets
Generate custom worksheets matched to each lesson topic - choose operation, difficulty, and number of problems. Print unlimited sheets with answer keys.
Generate Free WorksheetsHow Our Lessons Work
Visual-First Approach
Every concept begins with pictures, diagrams, or interactive models before moving to abstract notation. Research shows visual representations build stronger mental models that last.
Scaffolded Difficulty
Each lesson starts with the simplest case and gradually increases complexity. Students build confidence with easy wins before tackling harder problems - no sudden jumps in difficulty.
Spaced Practice
Skills taught in lessons are reinforced through games and worksheets over time. Our system uses spaced repetition principles to ensure long-term retention, not just short-term cramming.
Lesson Categories
Addition
12 lessonsFrom counting on to multi-digit addition with regrouping. Visual models, number lines, and mental shortcuts.
Subtraction
10 lessonsSubtraction as take-away and as difference. Borrowing strategies, checking with addition, and word problems.
Multiplication
14 lessonsFrom repeated addition to the times table, then multi-digit multiplication. Area models, arrays, and properties.
Division
11 lessonsEqual sharing, grouping, long division, and remainders. Real-world contexts and the link to multiplication.
Fractions
9 lessonsWhat fractions mean, comparing, equivalent fractions, and basic operations. Visual fraction bars and number lines.
Mental Math
8 lessonsStrategies that make arithmetic faster: doubles, near-doubles, compensation, bridging through 10, and more.
Decimals
7 lessonsDecimal place value, comparing decimals, and operations with decimals. Connection to fractions and money.
Geometry
8 lessonsShapes, angles, symmetry, perimeter, and area. Hands-on explorations with interactive tools.
Curriculum Alignment
Our lessons follow research-backed progressions aligned with international standards. Each topic is introduced at the age recommended by Common Core State Standards (CCSS) and the National Council of Teachers of Mathematics (NCTM). Complement lessons with interactive math games or printable worksheets for a complete learning experience.
| Grade | Standard | Key Skills | Goldy Lessons |
|---|---|---|---|
| K–1 | CCSS.MATH.1.OA | Counting, number sense, addition & subtraction within 20 | Level 1–2 addition & subtraction |
| Grade 2–3 | CCSS.MATH.3.OA | Multiplication & division facts, properties of operations | Level 3–4 multiplication & division |
| Grade 4–5 | CCSS.MATH.5.NF | Fractions, decimals, multi-digit arithmetic | Level 5–6 fractions & decimals |
| Grade 6 | CCSS.MATH.6.EE | Pre-algebra, ratios, percentages, negative numbers | Level 7 pre-algebra & percentages |
Tips for Parents & Teachers
- ✓Start each study session with a lesson, then follow up with a related game. This "learn then practice" rhythm matches how the brain encodes new skills - understanding first, then repetition for automaticity.
- ✓Don't skip the visual examples - even if your child "gets it" quickly. Research by Bruner shows that concrete-pictorial-abstract (CPA) progression builds deeper understanding than jumping straight to numbers.
- ✓If your child struggles with a lesson, don't push through. Drop down one level and revisit prerequisite skills. Goldy's lessons are sequenced so that each one builds on the previous - gaps compound.
- ✓Celebrate the process, not just correct answers. Comments like "I noticed you used the doubles strategy - that was smart thinking" build a growth mindset that pays dividends across all subjects.
- ✓Ten minutes a day consistently outperforms an hour on weekends. The brain consolidates learning during sleep, so daily micro-sessions with overnight gaps are neurologically optimal.
Recommended Games to Reinforce Lessons
Math Bingo
All LevelsBingo with mixed operations. Complete rows by solving addition, subtraction, multiplication, and division problems — a fun proficiency check across all four operations.
Math Maze
MediumNavigate a maze by solving math problems at each junction. A puzzle-adventure that combines spatial reasoning with arithmetic across the four operations.
Mental Math Sprint
MediumRace against the clock using the mental math strategies taught in the lessons. Pure speed, pure skill.
Fraction Compare
MediumCompare fractions visually and numerically. Perfect companion for the fractions lesson series.
Math Story
EasyWord problems brought to life. Read the story, solve the math, and see the narrative unfold.
Number Detective
AdvancedUse clues and deductive reasoning to find mystery numbers. Trains the logical thinking lessons develop.
Frequently Asked Questions
Our lessons cover ages 5 to 12 (Kindergarten through Grade 6). Each lesson is tagged with recommended age groups and difficulty levels, so parents and teachers can quickly find content appropriate for their child's stage.
Every lesson follows a consistent three-part structure: a clear explanation with visual examples, guided practice problems with step-by-step solutions, and independent practice with instant feedback. This scaffolded approach ensures conceptual understanding before procedural fluency.
Yes. Our lesson progression follows Common Core State Standards (CCSS) and NCTM Principles. Topics are sequenced to build on each other - for example, multiplication is introduced after students master addition and skip counting, following research-backed learning progressions.
Absolutely. Many teachers use Goldy lessons for whole-class instruction, small group interventions, and homework assignments. The Team Leader dashboard lets educators track which students have completed which lessons and identify gaps.
Lessons focus on teaching - they introduce concepts, explain strategies, and build understanding. Games focus on practice - they drill skills through repetition and speed challenges. The ideal workflow is: learn a concept in a lesson, then reinforce it through games and worksheets.
No. Every lesson is free and accessible without an account. Creating a free account lets you track progress, earn badges, and pick up where you left off - but the educational content itself is always open.
Our library covers 15 categories: addition, subtraction, multiplication, division, fractions, decimals, geometry, measurement, statistics, pre-algebra, negative numbers, percentages, Roman numerals, prime numbers, and mental math tricks. New lessons are added regularly.
Most lessons take 10 to 20 minutes. Research shows that short, focused learning sessions are more effective than long marathons. Students can complete one lesson a day and still make remarkable progress over a school year.
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Goldy is built by a former math teacher turned software developer who wanted better learning tools for children everywhere. No ads, no hidden costs, no corporate funding - just a passion for education.