6th Grade Cardinal Numbers Resources

What do 6th graders learn about cardinal numbers?

Cardinal numbers tell how many, while ordinal numbers tell position, like first or third. By 6th grade, kids stretch that idea of "how much" past whole numbers to negative numbers, fractions and decimals. They place all of them on one number line, compare them with inequality symbols and write statements like -7 < -2 and 0.6 > 1/2. They also learn absolute value as a number's distance from zero. The click moment is realizing that -10 is less than -2, even though 10 looks bigger.

Our favorite ways to teach comparing numbers in 6th grade

Sixth graders need to see numbers as points on a line, not just digits on a page. These moves build that picture.

One number line for everything

Stretch masking tape across the floor and mark zero in the middle. Hand out cards with integers, fractions and decimals and have students stand where their number belongs. Then ask two students to explain who is greater and how they know. Seeing -3 stand to the left of -1 settles a lot of arguments.

Why it works: showing first, practicing together, then letting kids try alone is the "gradual release" model teachers have relied on for decades (Pearson and Gallagher, 1983).

Try it withGreater Than Less Than Inequalities SongSongsOpen it →

Sing the symbols

A catchy inequalities song gives kids a quick way to remember which symbol means greater than and which means less than. Play it as a warm-up, then have students write three true inequalities using numbers from the song. It works especially well with kids who still mix up the signs.

Why it works: a catchy, repeating tune gives the brain a hook to hang words on, so sung text is remembered better (Wallace, 1994).

Try it withGreater Than Less Than Inequalities SongSongsOpen it →

Which one does not belong?

Put four numbers on the board, like 3, -3, 0.3 and |-3|, and ask which one does not belong. Every answer can be right if students can defend it. The talk that follows brings out absolute value, opposites and place value all in one discussion.

Why it works: when kids say the precise math words, their understanding gets sharper, a recommendation of the U.S. Department of Education's elementary math guide.

Cardinal number questions we hear all the time

What is the difference between cardinal and ordinal numbers?

Cardinal numbers tell how many, like 5 apples. Ordinal numbers tell position or order, like 5th in line. Nominal numbers, like a jersey number, are just names.

What do 6th graders learn about comparing numbers?

They compare and order integers, fractions and decimals on a number line and write inequalities with greater than and less than symbols. They also learn absolute value and opposites.

Why is -10 less than -2?

On a number line, numbers get smaller as you move left. Since -10 is farther left of zero than -2, it is less. A thermometer helps: -10 degrees is colder than -2 degrees.

How do I help my child compare fractions and decimals?

Have them convert to the same form first, either all decimals or fractions with a common denominator. Then place each one on a number line to check that the answer makes sense.

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6th Grade Cardinal Numbers Resources

6th Grade Cardinal Numbers Resources

What do 6th graders learn about cardinal numbers?

Our favorite ways to teach comparing numbers in 6th grade

One number line for everything

Sing the symbols

Which one does not belong?

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Cardinal number questions we hear all the time

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