Grade 3 math

Units

1. 1

   Multiplication and division

   7 lessons

   1. Multiplication as equal groups and arraysFind a total from equal groups or from rows, and say what each number in the times sentence means.
   2. Division as sharing and as groupingDraw equal groups, solve sharing stories and making-groups stories, and say what each answer counts.
   3. Multiplication and division word problems with drawings and equationsDraw a story problem, put ? on the missing number, write a number sentence, and solve it.
   4. Finding the unknown in multiplication and division equationsFind a missing number in a times or division sentence, wherever it is, and check it.
   5. Properties of multiplication: commutative, associative, distributiveTurn, split, or group times facts to count chairs, and explain why the total stays the same.
   6. Division as an unknown-factor problemSolve a division by finding the missing number in a times fact, and write the four facts that go together.
   7. Multiply and divide within 100 fluentlyFind times facts up to 10 × 10 by building them from facts you already know, then use them to divide.
2. 2

   Problem solving and patterns

   2 lessons

   1. Two-step word problems with the four operationsFind what you need first, write an equation with a letter, and check the answer with an estimate.
   2. Patterns in the addition and multiplication tablesExplain patterns in the adding and times charts, using pairs, groups, and how each answer changes to the next.
3. 3

   Place value and adding big numbers

   3 lessons

   1. Rounding to the nearest 10 or 100Round numbers up to 1000 to the nearest ten or hundred, then use them to make quick guesses for adding and taking away.
   2. Adding and subtracting within 1000Add and take away numbers up to 1000 by trading blocks, then check a take-away by adding.
   3. Multiplying one-digit numbers by multiples of 10Multiply a one-digit number by 10, 20, 30 and so on up to 90, and explain the answer with tens.
4. 4

   Fractions as numbers

   5 lessons

   1. Unit fractions and fractions a/bName the equal parts of a whole, and write how many parts are taken as a fraction.
   2. Fractions on the number lineFind where a fraction goes on a number line by counting equal hops from 0, even past 1.
   3. Equivalent fractionsFind fractions that are the same amount, and show it with bars or a number line.
   4. Whole numbers as fractionsUse fractions to name the whole numbers on a number line, like 1, 2 and 3.
   5. Comparing fractions with the same numerator or denominatorCompare fractions with the same top number or the same bottom number, and explain >, < or = with a picture of the same whole.
5. 5

   Time, measurement and data

   4 lessons

   1. Telling time to the minute and elapsed timeRead a clock with hands to the minute, and use jumps on a time line to find how long something lasts or when it ends.
   2. Liquid volume and massPick a unit that makes sense, read the marks on jugs and scales, and solve one-step stories about how much liquid and how heavy.
   3. Scaled picture and bar graphsRead and draw graphs where one picture or one step stands for more than one, then compare the numbers they show.
   4. Measuring lengths and line plots in halves and fourthsMeasure to the closest half inch or quarter inch, and show the lengths on a line plot.
6. 6

   Area and perimeter

   4 lessons

   1. Area as covering with unit squaresFind area by counting the same-size squares that cover a shape, with no gaps and no overlaps.
   2. Area of rectangles by multiplying side lengthsFind the area of a rectangle from its side lengths and say the square units; find a missing side from the area.
   3. Area and the distributive property; rectilinear figuresFind the area of an L-shaped floor by adding rectangles that do not overlap, or by taking away a missing corner.
   4. Perimeter, and same area with different perimetersFind the perimeter, even with a missing side of a rectangle, and compare rectangles with the same fence or the same grass.
7. 7

   Shapes

   2 lessons

   1. Categories of shapes and quadrilateralsName shapes by their sides and corners, and draw a four-sided shape that is not a rectangle and not a rhombus.
   2. Partitioning shapes into equal areasCut grid shapes into parts with equal area, and name each part’s fraction, even when the parts look different.