← 7th Grade Math
Math 7 U4-L1 Patterns and Number Sense

Divisibility Patterns

Eli has a box of baseball cards and a lot of friends, and he wants to know which piles will come out even before he starts dealing.

Teacher Notes

Not started yet.

Lesson Goal

By the end of this lesson your student should be able to use the divisibility rules for 2, 3, 4, 5, 6, 9 and 10 on any whole number, and explain why each rule works as a test.

Where Students Get Stuck

🚨 Using the digit sum for the wrong rule, such as checking 4 or 5 by adding the digits. The sum is only for 3 and 9.

Checking 4 by the ones digit alone, so every even number looks like it passes. Only the last two digits matter.

Forgetting that 6 needs both 2 and 3, and calling a number divisible by 6 because it passed just one of them.

Teaching Suggestion

Have the student pick a number and predict which rules it passes, then check each prediction with a calculator. The rules feel like magic until he sees them hold ten times in a row.

Key Vocabulary

Divisible
One whole number is divisible by another when it divides evenly, with a remainder of zero.
Factor
A number that divides another number evenly. 4 is a factor of 36.
Digit sum
What you get when you add up all the digits of a number. Used to test for 3 and 9.
Remainder
What is left over after dividing. A remainder of zero means it divided evenly.
Sentence 1 of 26 Tap any sentence to start reading there
Settings

Settings

Stored on this device only. Your key stays in this browser. It is never sent to NexStudents, never shared, and never leaves your machine except to the voice provider it belongs to.

Where to get a key. Google Cloud TTS powers the built-in voices on this page and has a free monthly allowance. ElevenLabs is worth a look if you want a more natural voice and do not mind setting up an account.

Colors

Read-aloud is not available in this browser. Try Chrome or Safari.

Before You Start

The Words

The words this lesson uses. Tap a card to see what it means, then come back to them whenever a question uses one.

Part One

The Questions

0 of 0

Questions about the story you just read. Pick your answer straight off, or press Find it in the story if you would rather hunt for the sentence first.

Part Two

Vocabulary Check

0 of 0

The word cards are at the top of this page. Look back at them as often as you need, then answer.

When you finish: write the answers out in your own words — not copied word for word from the choices. Saying it your own way is the part that proves you understood it. Then use Print Answer Sheet for a one-page record of what was answered and scored.
Open The Homework SheetDo it on screen or print it. Your score shows here once you check it.