Worksheet

Garden Pattern Rules

Grade 4 garden practice making number and shape patterns from a rule and finding hidden features like odd and even numbers.

Grade 4MathInteractive · Printable

Aligned to4.OA.C.5

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
12 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 4
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

Students generate number patterns that follow a given add, subtract, or multiply rule.
Students identify features of a pattern, such as odd and even numbers, that the rule does not state.
Students extend a repeating shape pattern and use it to predict a later term.

How to use

Model problem 1 aloud, saying the rule each time you add 4. For the feature questions, have students write out more numbers in the pattern before deciding what is always true.

Curriculum

Common Core standard covered

4.OA.C.5

Make a number or shape pattern that follows a rule and describe its features.

Preview

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Name Date

Garden Pattern Rules

Follow a rule to grow a pattern, then spot features the rule does not tell you.

Follow the rule

Use the rule to write the next numbers in each pattern.

Priya plants tomato seeds in rows. Row 1 has 3 seeds. Rule: each row has 4 more seeds than the row before.

Row 2:
Row 3:
Row 4:
Row 5:

Luis has 60 flower bulbs. Rule: he plants 6 bulbs each day, so subtract 6 each day.

Bulbs left after Day 1:
Bulbs left after Day 2:
Bulbs left after Day 3:
Bulbs left after Day 4:

In Month 1, the garden club has 3 members. Rule: multiply by 2 each month.

Month 2:
Month 3:
Month 4:
Month 5:

Which rule makes the pattern 4, 12, 36, 108?

A. Add 8
B. Multiply by 4
C. Add 24
D. Multiply by 3

Look for features

Grow each pattern, then look for something the rule does not tell you.

Pattern: start at 5 and add 6. The numbers are 5, 11, 17, 23, 29, … What is true about every number in this pattern?

A. Every number is a multiple of 6.
B. The numbers take turns being odd and even.
C. Every number is odd.
D. Every number is even.

Pattern: start at 5 and add 10. If the pattern keeps going, which numbers will be in it? Circle them.

4550657295100115

Pattern: start at 1 and add 3. The numbers are 1, 4, 7, 10, 13, …

The 10th number in the pattern is . Write odd or even: the 10th number is .

Sort each pattern by what happens to its numbers.

Start at 2, add 6Start at 9, add 2Start at 4, add 5Start at 7, add 4Start at 10, add 3Start at 6, add 10

Always even	Always odd	Odd and even take turns

Kim plants flowers in a row with this repeating pattern: daisy, tulip, rose, daisy, tulip, rose, … Which flower is in position 20?

A. daisy
B. tulip
C. rose

10.

Look at Kim's flower pattern again: daisy, tulip, rose, daisy, tulip, rose, … The roses are in positions 3, 6, 9, and so on.

The 7th rose is in position .
The flower in position 30 is a .

Explain a feature

Use words and numbers to explain your thinking.

11.

Pattern: start at 8 and add 4. Jamal says every number in this pattern is a multiple of 4. Is he right? Explain why.

12.

Ravi makes stepping-stone shapes for a garden path. Shape 1 uses 4 stones. Rule: each new shape uses 3 more stones than the shape before. Write the number of stones for Shapes 1 to 5. Then describe one feature of the pattern that the rule does not tell you.