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.
Math Mammoth-style 1-A/1-B: addition, subtraction, place value, facts, clock, shapes, measuring, two-digit work, coins, and graphs.
Join groups, count on, use number lines, and solve first addition stories.
Take away, compare, count back, and connect subtraction to addition.
Teen numbers, tens and ones, expanded form, compare, order, and ten more or less.
Doubles, near doubles, make ten, subtract from ten, missing parts, and mixed fact fluency.
Tell time to the hour and half hour, then use days, weeks, and months.
Compare and measure length, name shape attributes, compose shapes, and split equal parts.
Add and subtract tens and ones without regrouping, then read simple picture and bar graphs.
Recognize pennies, nickels, dimes, and quarters, then count simple coin sets.
Math Mammoth-style 2-A/2-B: review, clock, facts to 20, regrouping, geometry, hundreds, measuring, money, graphs, and multiplication.
Review two-digit work, fact families, skip counting, and early problem solving.
Read quarter hours, five-minute times, digital/analog clocks, AM/PM, and elapsed hours.
Make ten, use doubles, solve missing addends, and master facts to 20.
Use base-ten blocks for carrying, two-digit sums, and three-addend problems.
Name plane and solid shapes, count sides and corners, partition shapes, and notice symmetry.
Build hundreds, read and write numbers to 1,000, compare, order, and expand.
Measure length, estimate, make line plots, compare weight and capacity, and solve measure stories.
Borrow across tens with base-ten blocks, missing parts, and story problems.
Count mixed coins, compare amounts, make equal values, and read bar, picture, and tally graphs.
Use equal groups, arrays, repeated addition, and skip-counting to start the 2, 5, and 10 facts.
Math Mammoth-style 3-A/3-B: mental math, regrouping, multiplication, tables, time, money, thousands, division, measurement, geometry, and fractions.
Mental math, difference, missing numbers, patterns, and organized tables.
Round to 10 and 100, regroup across hundreds and zeroes, and solve multistep stories.
Model equal groups, arrays, number-line jumps, times zero/one, and multiplication stories.
Build all core facts through 12 using patterns, arrays, and fact-rack fluency.
Read minutes before/after the hour, elapsed time, schedules, and time stories.
Count coins and dollars, add and subtract money, make change, and solve shopping stories.
Build thousands, add/subtract four-digit numbers, read graphs, and use place-value clues.
Share fairly, form groups, use multiplication/division families, and handle remainders.
Measure length, weight, capacity, and temperature, then solve practical measurement problems.
Find perimeter, count square units, use arrays for area, and solve shape stories.
Use fraction bars, number lines, equivalent fractions, comparisons, mixed numbers, and like denominators.
Math Mammoth-style 4-A/4-B: large numbers, multi-digit multiplication, time and measuring, division, geometry, fractions, and decimals.
Read, compare, round, and operate with thousands through millions.
Review tables, learn factors and multiples, and multiply multi-digit numbers with area models and columns.
Use elapsed time, schedules, temperature, and customary/metric conversions.
Move from fact families to divisibility, remainders, short division, and long division.
Work with lines, angles, protractors, triangles, quadrilaterals, symmetry, perimeter, and area.
Review equivalent fractions, compare, use mixed numbers, and add/subtract like denominators.
Connect tenths/hundredths to fractions, compare decimals, and solve money-style decimal problems.
Math Mammoth-style 5-A/5-B: four operations, large numbers, decimals, graphing/statistics, fractions, and geometry.
Review whole-number operations, order of operations, exponents, estimation, and multi-step problems.
Read, write, compare, round, and scale large numbers using powers of ten.
Understand decimal place value, compare, round, add, and subtract decimals.
Read line graphs, plot coordinates, find mean, reason from tables, and solve data stories.
Multiply and divide decimals, connect money contexts, and review all decimal operations.
Use models and number lines for equivalence, comparison, mixed numbers, and unlike denominators.
Multiply fractions, divide with unit fractions, solve fraction equations, and apply fraction operations.
Measure and classify angles, classify 2D shapes, use coordinates, and find volume of rectangular prisms.
Math Mammoth-style 6-A/6-B: operations, expressions, decimals, ratios, percent, number theory, fractions, integers, geometry, and statistics.
Review whole-number operations, place value, rounding, exponents, and problem solving.
Use variables, evaluate expressions, solve one- and two-step equations, and reason with inequalities.
Operate fluently with decimal addition, subtraction, multiplication, division, rounding, and real contexts.
Use ratios, equivalent ratio tables, rates, unit rates, and bar models for ratio stories.
Connect percent to fractions and decimals, reason out of 100, calculate discounts, and solve percent stories.
Use factors, multiples, primes, prime factorization, GCF, and LCM to prepare for fraction work.
Review fraction models, add/subtract unlike denominators, multiply/divide fractions, and solve equations.
Work with negative numbers, absolute value, integer operations, and all four coordinate quadrants.
Draw and classify figures, find area, use nets, surface area, and volume of prisms.
Ask statistical questions, display distributions, and describe center and variability.
These are not the journey. They are focused workouts for facts, tables, clocks, measurement, fractions, and tools.