Counting Play
Touch each object once and hear number words in order.
Pick a grade, then a subject, then a lesson. The journey uses the same library in the right order; this page keeps the whole textbook-shaped map open.
We use the public domain shape of strong K-6 math programs: coherent grade progression, visual models first, and focused practice outside the core journey.
Readiness through counting play, comparison, and simple shapes.
Touch each object once and hear number words in order.
Notice simple shapes and compare small groups.
Counting, teen numbers, early addition/subtraction, and shape foundations.
Count forward, find missing numbers, and name teen numbers.
Use next-number thinking and build with simple shapes.
Join groups and take some away with counters first.
See ten and extras before first-grade facts.
Facts to 10, place value to 100, early tools, money, time, and graphs.
Learn +1, +2, doubles, and make-ten with ten frames.
Take away, count back, and use related addition.
Read simple join, more, and take-away stories.
Build tens and ones, compare, order, and expand two-digit numbers.
Use tens and ones to add and subtract without regrouping first.
Read clocks, count early coins, measure length, sort shapes, and read graphs.
Facts to 20, regrouping, place value to 1,000, tools, and equal groups.
Practice addition and subtraction families until they feel familiar.
Regroup with tens and show the written work format.
Choose useful numbers and solve missing-part or two-step stories.
Build hundreds, compare 3-digit numbers, and write expanded form.
Use clocks, coins, rulers, line plots, and bar graphs in real problems.
Split shapes equally and see multiplication as equal groups.
Multiplication, division, fractions, measurement, data, area, and perimeter.
Mental add/sub strategies, the concept of difference, letter for the unknown, patterns.
Round to nearest 10/100; regroup once and twice in subtraction; order of operations with brackets.
Equal groups, arrays, number-line jumps, commutativity, times 0 and times 1.
Tables of 2, 4, 10, 5, 3, 6, 9, 7, 8 with partial products.
Read the clock to the minute, quarter hours, elapsed time across the hour, calendar.
Coins and dollars, counting up to make change, money problem solving.
Thousands place, compare four-digit numbers, add/subtract with regrouping, bar and line graphs.
Sharing and grouping, division tables tied to multiplication, remainders, word problems.
Millimetres, centimetres, metres, kilometres; grams and kilograms; litres and millilitres; °C.
Perimeter by adding sides; area by counting squares; area = length × width.
Parts of a whole, on a number line, equivalent, mixed numbers, like-denominator add/sub.
Large numbers, factors, long division, fractions, decimals, and geometry.
Review addition/subtraction, place value, rounding, and estimation with bigger numbers.
Use table fluency to multiply larger numbers and reason with factors.
Work with temperature, conversions, lines, angles, perimeter, and area.
Move from fact families to written division and checking the answer.
Compare, rename, and add/subtract same-size fraction parts.
Connect tenths and hundredths to fractions, graphs, and geometry.
Decimal operations, fraction operations, coordinates, measurement, and data.
Review operations, divide with larger quotients, and check work.
Line up place values for decimal addition, subtraction, and multiplication.
Read changing data, plot points, and notice rules.
Build mixed numbers and operate on fractions with visual models first.
Use area models and reasonableness checks for decimal products.
Classify shapes, convert measures, and revisit coordinate and data work.
Ratios, rates, percent, integers, expressions, equations, geometry, and statistics.
Review operations and write expressions, equations, and inequalities.
Review and extend all decimal operations.
Compare quantities, use tables, and understand percent as per hundred.
Review fraction operations while strengthening factor and percent reasoning.
Move below zero and graph points in all four quadrants.
Review geometry models and study statistical distributions.
These are not the journey. They are focused workouts for facts, tables, clocks, measurement, fractions, and tools.