Search every subject world, from Preschool to Grade 12. The first five courses of every subject path are free.
16 courses
Mathematics · Grade 1
Learners build reliable strategies for facts within 20: making a ten to add (8 + 6 = 8 + 2 + 4), going back through ten to subtract (13 − 4 = 13 − 3 − 1), using doubles and near doubles, and using fact families so every addition fact also gives two subtraction facts. Facts within 10 are practised for accuracy, never against a clock.
Mathematics · Grade 1
The equal sign means 'is the same amount as', not 'the answer comes next'. Learners decide whether equations such as 7 = 8 − 1 and 4 + 1 = 5 + 2 are true or false, find unknown numbers in any position (5 = ☐ − 3), and balance equations with operations on both sides (4 + 5 = 3 + ☐).
Mathematics · Grade 1
Learners add within 100 using base-ten blocks, the hundred chart and number lines: adding tens to a two-digit number (34 + 20), adding ones with and without making a new ten (42 + 5 and 47 + 6), and explaining their steps in tens and ones while solving story problems.
Mathematics · Grade 1
Seventy take away thirty is like seven take away three, but with tens. Learners subtract multiples of ten from 10 to 90 using ten-sticks and number-line jumps, use addition to subtract by counting up in tens, and solve story problems with tens, including differences of zero.
Mathematics · Grade 2
Ten tens make a hundred. Learners build three-digit numbers with base-ten blocks, read and write them as numerals, number names and expanded form (406 = 400 + 6), find the value of each digit, and show the same number in more than one way, such as 254 as 25 tens and 4 ones.
Mathematics · Grade 2
Learners skip-count by 5s, 10s and 100s within 1,000 (including across a new hundred), compare three-digit numbers by looking at hundreds, then tens, then ones, and add or subtract 10 and 100 in their heads, explaining which digit changes and why.
Mathematics · Grade 2
Learners become accurate and flexible with addition and subtraction facts within 20: they use make ten, doubles, near doubles and think-addition, choose the strategy that fits each fact, and explain it. They also find out whether a group up to 20 is odd or even by pairing, and write even numbers as doubles. Fluency means accurate and flexible, never timed.
Mathematics · Grade 2
Learners add within 100 and then within 1,000 by adding hundreds to hundreds, tens to tens and ones to ones, making a new ten or a new hundred when a place gets full. They add up to four two-digit numbers by looking for friendly pairs, explain why their strategies work, and check answers by estimating.
Mathematics · Grade 2
When there are not enough ones to take away, trade a ten for ten ones. Learners subtract within 100 and then within 1,000 with base-ten models, including tricky numbers with zeros such as 403 − 158, use counting up as a second strategy, and check every subtraction with addition.
Mathematics · Grade 2
Learners solve story problems within 100 by drawing bar (tape) diagrams and writing equations with a symbol for the unknown, wherever the unknown is, including tricky compare stories. They plan and solve two-step problems, then check that their answers make sense in the story.
Mathematics · Grade 2
Four plates with 3 cookies each: learners make and recognise equal groups, find totals by skip counting and repeated addition, and organise objects into arrays of rows and columns (up to 5 by 5). They write repeated-addition equations by rows and by columns and discover that both give the same total, the foundation for multiplication in Grade 3.
Mathematics · Grade 2
Learners measure with rulers in inches and centimeters (starting at 0, or finding the length when an object starts elsewhere), choose tools such as yardsticks, meter sticks and measuring tapes, estimate lengths with benchmarks, explain why smaller units give bigger numbers, and find how much longer one object is than another.
Mathematics · Grade 2
A number is a distance from 0. Learners place numbers on number lines with equally spaced points (counting by 1s, 5s and 10s), show addition and subtraction within 100 as jumps, and solve length story problems with number-line drawings and equations with an unknown.
Mathematics · Grade 2
Learners tell and write time to the nearest five minutes by skip counting around the clock, use a.m. and p.m., find the value of groups of pennies, nickels, dimes, quarters and dollar bills, write amounts with ¢ and $, and solve shopping problems.
Mathematics · Grade 2
Learners measure several objects and show the lengths on a line plot, read picture graphs and bar graphs with up to four categories, and use bar graphs to solve put-together, take-apart and compare problems.
Mathematics · Grade 2
Learners name triangles, quadrilaterals, pentagons and hexagons by counting sides and angles and describe cubes by their faces. They split rectangles into rows and columns of same-size squares and count them, and split circles and rectangles into halves, thirds and fourths, discovering that equal shares of the same whole do not have to be the same shape.
