Section 1
📘 Sequences
New Concept
A counting pattern is a sequence.
What’s next
Next, you’ll practice identifying the rule for a sequence and use it to find the next numbers in the pattern.
In this Grade 4 Saxon Math lesson from Chapter 1, students learn about counting sequences, including how to identify the rule of a sequence and find missing or next numbers by counting up or down by a given amount. The lesson also introduces digits, the numerals 0 through 9 used to write numbers, with practice identifying how many digits a number contains and what its last digit is. A problem-solving focus on making a table helps students organize combinations systematically.
Section 1
📘 Sequences
A counting pattern is a sequence.
Next, you’ll practice identifying the rule for a sequence and use it to find the next numbers in the pattern.
Section 2
Sequences
A counting pattern is a sequence. A counting sequence may count up or count down, following a specific rule.
The sequence counts up by tens. The next number is .
The sequence counts down by threes. The next number is .
Think of a sequence as a number puzzle! It is simply a list of numbers that follows a secret rule. Your job as a math detective is to find that rule so you can figure out what numbers come next in the pattern.
Section 3
Digits
Digits are the ten numerals we use to write all numbers: .
The number is built using five different digits.
In the number , the very last digit is .
Digits are the basic building blocks for every number you can imagine, just like letters are for the alphabet! We can use them to count how many digits are in a huge number or find the very last one, which is super handy.
Section 4
Reading Math
The three dots () written after a sequence mean that the pattern continues without end, even though the numbers are not written.
The sequence continues by adding two forever.
The counting numbers go on without end.
Those three little dots are a math shortcut called an ellipsis! It’s a cool way of saying 'and so on, forever' without having to write an infinite list of numbers. It signals that the pattern you see keeps repeating endlessly.
Book overview
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Section 1
📘 Sequences
A counting pattern is a sequence.
Next, you’ll practice identifying the rule for a sequence and use it to find the next numbers in the pattern.
Section 2
Sequences
A counting pattern is a sequence. A counting sequence may count up or count down, following a specific rule.
The sequence counts up by tens. The next number is .
The sequence counts down by threes. The next number is .
Think of a sequence as a number puzzle! It is simply a list of numbers that follows a secret rule. Your job as a math detective is to find that rule so you can figure out what numbers come next in the pattern.
Section 3
Digits
Digits are the ten numerals we use to write all numbers: .
The number is built using five different digits.
In the number , the very last digit is .
Digits are the basic building blocks for every number you can imagine, just like letters are for the alphabet! We can use them to count how many digits are in a huge number or find the very last one, which is super handy.
Section 4
Reading Math
The three dots () written after a sequence mean that the pattern continues without end, even though the numbers are not written.
The sequence continues by adding two forever.
The counting numbers go on without end.
Those three little dots are a math shortcut called an ellipsis! It’s a cool way of saying 'and so on, forever' without having to write an infinite list of numbers. It signals that the pattern you see keeps repeating endlessly.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter