Place value and reading numbers
Learn how digits change value by position, how to read larger numbers, and how to write expanded form.
Beginner arithmetic lessons
Clear lessons for the skills everything else uses.
Start with place value, regrouping, and multiplication models. Each lesson includes worked examples, common mistakes, practice questions, and an answer key.
Available lessons
Addition with carrying and regrouping
Use place value columns to add multi-digit numbers and understand why carrying works.
Multiplication as repeated addition and arrays
Connect equal groups, skip counting, and rectangular arrays before memorizing facts.
Subtraction basics
Taking away, counting back, difference, borrowing, and fact families.
Division basics
Sharing, grouping, remainders, inverse operations, and answer checks.
Fractions introduction
Parts of a whole, numerator and denominator, fraction models, and comparisons.
How to use these lessons
Read the explanation first, copy the worked examples on paper, then try the practice questions before checking the answer key. Teachers and homeschool parents can use each lesson as a short review mini-lesson.