Search every subject world, from Preschool to Grade 12. The first five courses of every subject path are free.
17 courses
Mathematics · Grade 3
Learners plan and solve two-step word problems with any of the four operations, write equations with a letter for the unknown, and check that answers are reasonable by estimating. They then hunt for patterns in the addition and multiplication tables and explain why patterns such as 'four times any number is even' must always be true.
Mathematics · Grade 3
Learners discover that a fraction names equal parts of one whole, build non-unit fractions from unit fractions, and then see that every fraction is also a number with its own place on the number line. A garden-trail scene checks that the idea transfers to a new kind of whole.
Mathematics · Grade 3
Building on fractions as numbers on a line, learners discover that different fractions can name the same amount (1/2 = 2/4 = 4/8), write whole numbers as fractions (4/4 = 1, 3 = 3/1), and compare fractions that share a numerator or a denominator by reasoning about the size of the parts. A pizza puzzle shows why comparisons only make sense for the same whole.
Mathematics · Grade 3
Area is the number of unit squares that cover a shape; perimeter is the distance around it. Learners tile rectangles and connect tiling to multiplying side lengths, split rectangles and L-shapes into parts, find perimeters (including a missing side), and discover that shapes with the same perimeter can have different areas.
Mathematics · Grade 3
Learners sort quadrilaterals into categories by their attributes (rhombuses, rectangles, squares and others), discover that one shape can belong to several categories (every square is a rectangle and a rhombus), split shapes into parts of equal area named by unit fractions, and practise writing mathematical explanations with a claim, a reason and an example or counterexample.
Mathematics · Grade 4
Learners extend place value to one million. They see that a digit is worth ten times as much as the same digit one place to its right, read and write large numbers in standard, word and expanded form, compare them digit by digit with >, = and <, and round them to any place using number lines and place-value reasoning.
Mathematics · Grade 4
Learners add and subtract multi-digit whole numbers with the standard algorithm, regrouping across several places and across zeros. They use rounding to estimate whether an answer is reasonable, check results with the inverse operation, and analyse common mistakes in worked calculations.
Mathematics · Grade 4
Learners use multiplication to compare amounts ('5 times as many'), multiply numbers up to four digits by a one-digit number, and multiply two two-digit numbers. Area models and partial products built on place value show why each method works, and estimates help learners judge whether a product is reasonable.
Mathematics · Grade 4
Learners divide numbers up to four digits by a one-digit number using place value, partial quotients and area models, check quotients with multiplication, find remainders, and decide what a remainder means in a word problem: round up, use only full groups, or answer with the remainder itself.
Mathematics · Grade 4
Learners find all factor pairs of numbers up to 100, see that a number is a multiple of each of its factors, sort numbers into prime and composite, and build number and shape patterns from a rule, noticing features of the pattern that the rule does not state.
Mathematics · Grade 4
Learners use fraction bars and number lines to see why multiplying the numerator and denominator by the same number gives an equivalent fraction, generate equivalent fractions, and compare fractions with different numerators and denominators using common denominators, common numerators and the benchmarks 1/2 and 1, always for the same whole.
Mathematics · Grade 4
Learners add and subtract fractions with the same denominator as joining and separating parts of the same whole, decompose fractions into sums in more than one way, add and subtract mixed numbers (regrouping a whole when needed), and solve word problems with fraction bars and number lines.
Mathematics · Grade 4
Learners see every fraction as a multiple of a unit fraction (5/4 = 5 × 1/4), multiply a whole number by a fraction as repeated groups of that fraction (3 × 2/5 = 6/5), solve word problems with bars, number lines and equations, and reason about which two whole numbers a product lies between.
Mathematics · Grade 4
Learners connect tenths and hundredths: they rename tenths as hundredths to add them (3/10 + 4/100 = 34/100), write fractions with denominators 10 and 100 as decimals, place decimals on number lines, and compare decimals to hundredths with >, = and <, always for the same whole.
Mathematics · Grade 4
Learners learn the relative sizes of metric and customary units (km, m, cm; kg, g; lb, oz; L, mL; hours, minutes, seconds), convert from larger to smaller units with two-column tables, solve measurement and money word problems, and make and use line plots with measurements in halves, fourths and eighths.
Mathematics · Grade 4
Learners name points, lines, segments, rays and angles, understand an angle as a turn measured in degrees (one degree is 1/360 of a full turn), find unknown angles by adding and subtracting parts, classify triangles and quadrilaterals by their angles and by parallel and perpendicular sides, and find lines of symmetry.
Mathematics · Grade 4
Learners plan and solve multi-step word problems with all four operations, write equations with a letter for the unknown, decide what remainders mean, check answers with estimates, use area and perimeter formulas for rectangles (including finding a missing side), and write and critique mathematical justifications.
