Home›Lesson Plans›Mathematics›Operations & Algebraic Thinking · Grade 4

Number Patterns

Fourth graders learn to crack the rule behind a sequence of numbers, use it to find what comes next, and notice patterns in the terms, then check what they know.

Grade 4Number Patterns50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
Start the Lesson
Assign or share this lesson

Copy link works with Canvas, Schoology, Moodle and any other LMS — paste it in as a resource or assignment.

Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Find a pattern's rule.
  • ✓Extend the pattern.
  • ✓Spot features in terms.
  • ✓Check what you know.
Essential Question

Look at 3, 6, 9, 12, and your brain guesses 15. What rule did you use, and how do you find the rule behind any number pattern?

0
Lesson Phases
0
Vocabulary Terms
0
Standards Aligned
0
Interactive Task
Model · Interactive Tool

Pattern Check

Project this and answer each question about finding and extending number patterns — read the explanation after each one.

🔢 Check what you know about number patternsTry it
Answer each question about finding and extending number patterns.
The Lesson · Gradual Release (I Do · We Do · You Do)

50 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Hook — What Comes Next?

5 min

Look at 3, 6, 9, 12. Your brain already guessed 15. What rule did you use without even thinking about it?

👩‍🏫 Teacher Moves

  • Show a simple pattern.
  • Ask for the next term.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Pattern Check

12 min

Students answer questions about number patterns.

👩‍🏫 Teacher Moves

  • Send students to the Pattern Check.
  • Answer each question.
  • Read the why.

🎒 Student Actions

  • Answer.
  • Check.
  • Read it.
3

Modify — Name the Rule

13 min

Students state the rule of a pattern.

👩‍🏫 Teacher Moves

  • Read a number pattern.
  • Find what changes each step.
  • Write the rule in words.

🎒 Student Actions

  • Read.
  • Find.
  • Write.
4

Create — Build a Pattern

15 min

Students make their own pattern.

👩‍🏫 Teacher Moves

  • Pick a start number and a rule.
  • Write the first six terms.
  • Challenge a partner to find the rule.

🎒 Student Actions

  • Pick.
  • Write.
  • Challenge.
5

Reflect — Finding the Rule

5 min

Students reflect on patterns.

👩‍🏫 Teacher Moves

  • How do you find a pattern's rule?
  • In 5, 10, 15, 20, what comes next?
  • Complete the exit ticket.

🎒 Student Actions

  • Say it.
  • Say it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics.

CCSS
4.OA.C.5

Generate a number pattern that follows a given rule and identify features of the pattern.

CCSS
3.OA.D.9

Identify arithmetic patterns and explain them using properties of operations.

CCSS
5.OA.B.3

Generate two numerical patterns using given rules and identify relationships between them.

CCSS
MP.7

Look for and make use of structure.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Number-pattern strips.
  • Sentence frame: “The rule is ___ , so next comes ___ .”
  • Answer one question at a time.

Support & Access

IEP / 504
  • Start with add and subtract patterns.
  • Use counters to build each step.
  • Review one pattern at a time.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Add multiply and two-step rules.
  • Compare two patterns side by side.
  • Write a rule as an expression.
Materials

What to gather

  • 📽️Projector / board
  • 🔢Number-pattern strips
  • 💻Pattern Check
  • 🧮Counters
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

patterna sequence of numbers that follows a ruletermone number in a pattern or sequencerulewhat you do to get from one term to the nextsequencea list of numbers in a set orderextendto continue a pattern using its ruleincreasinga pattern whose terms grow largerdecreasinga pattern whose terms get smallerskip countto count by a number other than one, forming a pattern
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
How do you find the rule of a number pattern?
Look at how each term changes from the one before, to see what is added, subtracted, or multiplied each step.
QUESTION 2
What comes next in 5, 10, 15, 20?
25, because the rule is add 5.
QUESTION 3
In 2, 4, 8, 16, what is the rule?
Multiply by 2 each time.

Create: build a pattern.

Have students pick a start number and a rule, write the first six terms, and challenge a partner to find the rule, so pattern-thinking becomes a game. A printable number-patterns worksheet is in the Mathematics library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Number PatternsFlip
Card 1
Term
Tap to flip →
Meaning
0

Nice work!

Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Number PatternsQuiz
Score: 0
1 / 6
Question 1
0%

Nice work!

Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Number PatternsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: decreasing, extend, increasing, pattern, rule, sequence, skip count, term
  1. a list of numbers in a set order
  2. to continue a pattern using its rule
  3. a pattern whose terms get smaller
  4. to count by a number other than one, forming a pattern
  5. what you do to get from one term to the next
  6. a pattern whose terms grow larger
  7. a sequence of numbers that follows a rule
  8. one number in a pattern or sequence

Part B · Show what you learned

  1. How do you find the rule of a number pattern?
  2. What comes next in 5, 10, 15, 20?
  3. In 2, 4, 8, 16, what is the rule?
Answer key — Part A: 1) sequence · 2) extend · 3) decreasing · 4) skip count · 5) rule · 6) increasing · 7) pattern · 8) term
Part B: 1) Look at how each term changes from the one before, to see what is added, subtracted, or multiplied each step. 2) 25, because the rule is add 5. 3) Multiply by 2 each time.