What multiplication and division mean
2 lessonsMultiplication as equal groups and arrays, and division as sharing into equal groups or making groups of a given size.
Multiplication facts and the properties that build them
5 lessonsLearning every fact to 10 x 10 by building the hard ones from easy ones with the commutative and distributive properties.
Division facts as missing factors
3 lessonsEvery division fact is a multiplication fact with a missing factor, used to solve equal-group problems.
Adding, subtracting and rounding within 1,000
4 lessonsRounding to the nearest ten or hundred and fluent mental and written strategies for adding and subtracting within 1,000.
Two-step problems and patterns
3 lessonsSolving two-step word problems with all four operations and checking answers by estimation.
Area
5 lessonsArea as covering with unit squares, then as length times width, linked back to multiplication.
Perimeter
3 lessonsPerimeter as the distance around a shape, and how shapes with the same perimeter can have different areas.
Unit fractions and fractions as numbers
5 lessonsA fraction is built from unit fractions, one part of a whole cut into equal parts, and can be more than one.
Fractions on the number line, equivalent and comparing
4 lessonsFractions as points on the number line, equal fractions at the same point, and comparing fractions with a common numerator or denominator.
Time, liquid volume and mass
7 lessonsElapsed time to the minute, reading scales, and measuring liquid volume in liters and mass in grams and kilograms.
Scaled graphs and line plots
4 lessonsPicture and bar graphs where one symbol or step stands for several, and line plots of lengths measured to the half and quarter inch.
Quadrilaterals and their categories
2 lessonsSorting shapes by their sides and angles, and seeing that rhombuses, rectangles and squares all belong to the larger category of quadrilaterals.