Courses · Mathematics · Kindergarten to Grade 5
Elementary Math
A complete arithmetic course from counting to fractions and decimals, ready for Pre-Algebra. Every idea is shown with objects first, then pictures and bar models, then the standard written method. Daily fact practice builds instant recall. Word problems come from the farm, the workshop, the market and the Bible, and each unit opens with a verse from the King James Bible.
Choose a grade
Not sure where to start? Every grade opens with a short placement check.
Moving on to Pre-Algebra? Take the Math Skill Check.
Ages 5–6
Kindergarten
Counting and Number Sense: Counting to 5, Counting to 10, Shapes and Position, Adding Within 10, Taking Away Within 10, Teen Numbers, Counting to 100, Measuring, Money and Time.
Ages 6–7
Grade 1
Addition, Subtraction and Place Value to 120: Numbers to 20 Again, Addition Strategies, Subtraction Strategies, Word Problems, Place Value to 120, Adding and Subtracting Tens, Measuring and Time, Money, Shapes and Graphs.
Ages 7–8
Grade 2
Regrouping, Money and Measurement: Fact Mastery to 20, Place Value to 1,000, Two-Digit Addition, Two-Digit Subtraction, Three-Digit Numbers, Money, Measurement and Time, Shapes, Fractions, Arrays.
Ages 8–9
Grade 3
Multiplication, Division and Fractions: Place Value and Rounding, Adding and Subtracting Larger Numbers, Meaning of Multiplication, Meaning of Division, Harder Facts, Fractions, Area and Perimeter, Time, Measure, Data.
Ages 9–10
Grade 4
Multi-Digit Operations, Fractions and Decimals: Place Value to a Million, Multiplying by One Digit, Multiplying Two Digits, Long Division, Equivalent Fractions, Fraction Operations, Decimals, Measurement and Geometry.
Ages 10–11
Grade 5
Fractions, Decimals and Readiness for Pre-Algebra: Place Value and Powers of Ten, Whole-Number Operations, Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Decimal Operations, Measurement and Volume, Geometry and the Coordinate Plane, Problem Solving and Data.
How every lesson works
Each grade is one school year: 8 units of 4 weekly lessons, plus an optional review unit. Every day follows the same routine:
- Warm-up. Oral counting, skip counting and mental math.
- Facts. A few minutes of fact practice, with a timed drill on Fridays and a fact-mastery tracker.
- New idea. Concrete first (counters, blocks, coins), then a picture or bar model, then the written method.
- Worked examples. Two examples with every step shown.
- Practice. Ten problems, easy to hard, with step-by-step answers.
- Worksheets. Two one-page worksheets (A and B) for every lesson, each with a step-by-step answer key.
Unit checks, a placement check and end-of-year tests have keys. Every answer and every step in every key was recomputed by a separate checking program. Grades 3–5 include optional short Math Antics videos where they fit; Kindergarten to Grade 2 has no videos.