Count from 1 to 100: learn the order of numbers, find the missing neighbor on the path, and practice counting by tens with bundles of sticks.
Sort shapes into the right baskets, then compose bigger shapes from small ones — circles, squares and triangles team up in hands-on play.
Get to know numbers up to 20: count objects one by one, compare which group has more, and see that teen numbers are made of one ten and some ones.
Master addition and subtraction within 20: from counting pictures, to the make-ten strategy for carrying addition, and the break-ten strategy for teen numbers minus 9.
Get to know common flat shapes (circle, triangle, square, rectangle) and solid shapes (box, cube, cylinder, sphere) through quick tap-to-find mini games.
Build two-digit numbers with ten-rods and one-squares: compare the tens first and only check the ones when they tie, then press +10 / −10 to see that only the tens digit changes.
Meet the hour hand and the minute hand, then learn to read o'clock and half past times: the minute hand points at 12 for o'clock and at 6 for half past.
Learn column addition and subtraction within 100: line up the place values and start from the ones. Carry one ten when the ones overflow, and borrow one ten when the ones are not enough.
Understand what multiplication means: repeated addition of the same number writes as multiplication, and reading dot arrays by rows or columns shows that swapping factors keeps the product.
Meet centimeters and meters: learn to measure with a ruler, know that 1 meter = 100 centimeters, and pick the right unit for different objects.
See what makes an angle: one vertex and two arms (sides). Open and close the angle to feel how its size depends on the opening, then learn to tell acute, right and obtuse angles apart.
Read the clock face: know the hour and minute hands, understand 1 hour = 60 minutes, and tell time to five minutes.
Meet the hundreds place: build three-digit numbers from hundreds, tens, and ones, skip-count by 2s, 5s, 10s, and 100s, and compare two 3-digit numbers.
Meet US coins and their values, learn how coins trade for equal values, count a handful of coins, and build exact amounts
Partition rectangles and circles into equal parts, describe shares like “1 of 4 parts,” and see why equal parts make a fair split—a first step toward fractions.
Build meaning for multiplication and division with equal groups, arrays, and number-line jumps, then grow fact fluency from patterns and the inverse relationship between the two operations
Meet the second — the second hand sweeps 60 seconds per lap — and the calendar: big months, small months and the special February.
Meet fractions: equal parts, area and set models, fractions on the number line, and first equivalent fractions
Understand what perimeter means: the distance all the way around a shape. Walk a little ant around the border, then learn the perimeter formulas for rectangles and squares.
Understand perimeter as the distance around a shape, add side lengths to find it, discover that rectangle area is length times width, and explore how the same perimeter can fence different areas
Understand “times as many”, learn column multiplication of multi-digit numbers by one digit, and division with remainders — the remainder is always smaller than the divisor.
Understand rounding on the number line: see which ten or hundred a number is closer to, and build estimation intuition by finding the nearest benchmark
Collect small data sets, build picture graphs and bar graphs by hand, and learn to read amounts and compare them
Understand the concept of numbers and quantities, learn about place values and number levels
Understand the concept of fractions, learn how to represent and compare fractions
Understand the concept of area, learn about area units and calculation methods
Learn the four basic operations: addition, subtraction, multiplication, and division
Understand 2-digit × 2-digit with area models, then master every step of long division
Meet tenths and hundredths with area models and number lines, then learn to read and compare decimals
Measure angles with a protractor, recognize parallel and perpendicular lines, and find every line of symmetry
Understand decimal × integer and decimal ÷ integer: compute as whole numbers first, then place the decimal point; keep the quotient's point aligned with the dividend's.
Derive the area formulas for parallelograms, triangles and trapezoids by cutting, rotating and translating — a first taste of the transformation idea in mathematics.
Meet factors and multiples: hunt for them on the number chart, learn the divisibility tricks for 2, 5 and 3, and sieve out primes and composites.
Different denominators mean different part sizes. Find a common denominator, re-cut both fractions, then add and subtract unlike fractions.
Count unit cubes layer by layer to measure a solid, discover the cubes hiding underneath, and build the formula V = length × width × height.
Plot and read points in the first quadrant: across first, then up, locating any spot with an (x, y) pair; then see how a sliding shape changes its vertices.
Feel how place values shift when you multiply by 10, 100 or 1000: every digit slides along the chart; then meet exponents and the zeros-count trick.
Understand fraction × integer and fraction division: multiplying an integer means adding that many copies — numerator × integer, denominator unchanged; dividing by a number equals multiplying by its reciprocal.
Meet the center, radius and diameter of a circle; discover π by rolling a circle, then derive the circumference and area formulas.
Understand ratios: a ratio is one number divided by another, and its value stays the same when both terms are multiplied or divided equally; understand percents as so-many-hundredths of a whole.
Meet negative numbers through a thermometer and a number line: above and below zero, positive and negative — and why 0 is neither.
Meet variables with a mystery box and evaluate expressions by substitution, then solve one-step equations on a balance by doing the same thing to both sides.
Understand the mean, median, and mode, and learn to build and read dot plots of real data
