Grade 3 math, unit by unit

How do you teach third grade math so multiplication actually sticks?

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Third grade math can turn into a pile of facts to memorize, and Number, Shape, and Pattern: Grade 3 Mathematics is built to prevent that. Your child draws one picture, the array, in the first weeks and then meets it again in area, clocks and graphs. It is eight units and 20+ hours, aligned to the Common Core.

The eight units

Equal Groups, Arrays, and the Meaning of Multiplication. Division, Fact Families, and Fluency Within 100. Place Value to 10,000 and Rounding. Area and Perimeter. Unit Fractions and Fractions on the Number Line. Comparing Fractions with Models. Telling Time to the Minute and Elapsed Time. Scaled Picture Graphs and Bar Graphs.

Turn the array, count nothing again

In Unit 1 your child builds 3 rows of 4 tiles, turns it a quarter turn into 4 rows of 3 and sees that nothing disappeared. That is the course's reason for 3 x 4 and 4 x 3 matching, and it is why the guide asks your child to explain the rotation out loud.

One picture, four facts

Unit 2 treats division as the same array seen from another side. Each array holds two multiplication facts and two division facts, and your child learns to see all four before drilling any single one.

Fractions as pictures first

Unit 5 spends a large share of its time on unequal partitioning, since the guide calls it the most common way fractions go wrong. Your child folds shapes, shades bars, and places a fraction on a number line by counting hops of a unit fraction.

Rounding and clocks with a reason

Rounding to the nearest 10 and 100 is taught as distance on a number line with only two endpoints marked. Telling time then bends that line into a circle, so reading a minute hand becomes skip-counting by 5.

Graphs close the year

The last unit shows that a scale on a bar graph is an equal group wearing a costume. Your child builds a scaled bar graph from a data table and rounds to the nearest ten to check a total.

What this is not

It is not a course to rush through Units 1 and 2. The guide says nearly everything later cites them, so the cost of skipping shows up in area, clocks and graphs.
It is not a worksheet course. Most days you look at a picture, talk about it, and your child draws their own version and explains it back, and the guide says explaining is the part that is easy to skip.
It is not a light supplement. The guide plans five 50-minute sessions a week all year, with some days running 15 to 20 minutes and others taking the whole session.

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Questions parents ask

What should my child know before starting?

The guide gives four checks: count by 5s from 0 to 50 in well under 30 seconds, draw 4 baskets of 3 apples as groups, name the hundreds digit in a number like 452, and guess where 500 goes on a number line marked 0 to 1,000.

What do I need to gather?

Small tiles, coins or buttons for arrays, grid paper, and index cards for folding fractions and writing fact families. Nothing needs to be bought.

How do I know it stuck?

A week after Unit 1, ask why 7 x 3 equals 3 x 7 with nothing in front of your child. If they describe the rotation, the picture stuck. If they say it just works that way, the guide says to redo it with tiles.

What does it cost?

$29 a month or $290 a year for every child. The first 30 days are free with no card.

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