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Factor Millionare

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In this millionaire-style game, students will find factor pairs for a whole number and recognize that a whole number is a multiple of each of its factors.

This is a single-player game that can be played on computers, iPads, and other tablets.
You do not need to install an app to play this game on the iPad. How many points can you earn? Play this fun and interractive game to show off your math skills.

The game is based on the following Common Core math standards:

CCSS 4.OA.4 Find all factor pairs for a whole number in the range 1-100. Recognize
that a whole number is a multiple of each of its factors. Determine
whether a given whole number in the range 1-100 is a multiple of a
given one-digit number. Determine whether a given whole number in
the range 1-100 is prime or composite.

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In this millionaire-style game, students will find factor pairs for a whole number and recognize that a whole number is a multiple of each of its factors. This is a single-player game that can be played on computers, iPads, and other tablets. You do not need to install an app to play this game on the iPad.

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Numbers can have interesting patterns.
Here we list the most common patterns and how they are made.

Arithmetic Sequences

An Arithmetic Sequence is made by adding the same value each time.

Example:

This sequence has a difference of 3 between each number.
The pattern is continued by adding 3 to the last number each time, like this:

Example:

This sequence has a difference of 5 between each number.
The pattern is continued by adding 5 to the last number each time, like this:

The value added each time is called the "common difference"

What is the common difference in this example?

The common difference could also be negative:

Example:

This common difference is −2
The pattern is continued by subtracting 2 each time, like this:

1739, 1740, 2511, 9771, 9772

Geometric Sequences

A Geometric Sequence is made by multiplying by the same value each time.

Example:

This sequence has a factor of 3 between each number.
The pattern is continued by multiplying by 3 each time, like this:

What we multiply by each time is called the " common ratio".

In the previous example the common ratio was 3:

We can start with any number:

Example: Common Ratio of 3, But Starting at 2

This sequence also has a common ratio of 3, but it starts with 2.

Example:

This sequence starts at 1 and has a common ratio of 2.
The pattern is continued by multiplying by 2 each time, like this:

The common ratio can be less than 1:

Example:

This sequence starts at 10 and has a common ratio of 0.5 (a half).
The pattern is continued by multiplying by 0.5 each time.

But the common ratio can't be 0, as we get a sequence like 1, 0, 0, 0, 0, 0, 0, ...

658,796, 1741, 10006, 10007

Special Sequences

There are also many special sequences, here are some of the most common:

Triangular Numbers

This Triangular Number Sequence is generated from a pattern of dots that form a triangle.

By adding another row of dots and counting all the dots we can find the next number of the sequence:

Square Numbers

They are the squares of whole numbers:

Cube Numbers

They are the cubes of the counting numbers (they start at 1):

Fibonacci Numbers

The Fibonacci Sequence is found by adding the two numbers before it together.
The 2 is found by adding the two numbers before it (1+1)
The 21 is found by adding the two numbers before it (8+13)
The next number in the sequence above would be 55 (21+34)

Can you figure out the next few numbers?

Other Sequences

There are lots more! You might even think of your own ...

1736, 1737, 3860, 3861, 3862, 1735, 1738

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Number Sequences - Square, Cube and Fibonacci

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An Arithmetic Sequence is made by adding the same value each time. This sequence has a difference of 3 between each number. The pattern is continued by adding 3 to the last number each time, like this: This sequence has a difference of 5 between each number.

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Can you help the monster truck reach the goal? Place the missing numbers in the correct spot to complete the pattern and help the truck get across!

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prime and composite numbers in fourth grade math

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Identify Prime and Composite Numbers - Practice with Fun Math Worksheet

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Practice math problems like Identify Prime and Composite Numbers with interactive online worksheets for 4th Graders. Splash math offers easy to understand fun math lessons aligned with common core for K-5 kids and homeschoolers.