Mathematics
Grade 4
15 min
Find the next row in a growing pattern of shapes
Find the next row in a growing pattern of shapes
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1
Introduction & Learning Objectives
Learning Objectives
Identify the rule in a growing pattern of shapes.
Describe a pattern rule using words and numbers.
Predict and draw the next row or term in a growing pattern.
Create a table of values (T-chart) to represent a growing pattern.
Use addition to find the number of shapes in a future row.
Explain how the number of shapes changes from one row to the next.
Have you ever built a pyramid with blocks and wondered how many blocks you'd need for the next layer? 🧱
In this lesson, we'll become pattern detectives! We will learn how to spot the 'secret rule' in patterns of shapes that get bigger and use that rule to figure out what comes next. This helps our brains think logically and solve puzzles.
Real-World Applications
Building with LEGOs or...
2
Key Concepts & Vocabulary
TermDefinitionExample
PatternA set of shapes, numbers, or objects that repeat or grow in a predictable way.A row of circles that goes: O OO OOO OOOO
Growing PatternA pattern where each step or row has more items than the one before it.A tower of blocks where each new row adds 2 more blocks than the last.
TermEach step or part in a pattern. We can also call it a 'Row' or 'Figure'.In the pattern 2, 4, 6, 8... the number 6 is the third term.
RuleThe specific instruction that tells you how to get from one term to the next.The rule is 'Add 2 circles each time'.
T-chartA chart with two columns used to organize a pattern. One column is for the term number (Row 1, Row 2, etc.), and the other is for the number of shapes.A chart with 'Row Number' in the left...
3
Core Formulas
Finding the Change (Addition Rule)
Next Term = Current Term + Change
Use this when the same number of shapes is added each time. Find the difference between two rows in a row to discover the 'Change'.
Describing the Pattern (Verbal Rule)
Start with [number] shapes and [action] [number] shapes each time.
This is how we describe the pattern in words. It's the most important rule for explaining your thinking.
Using a T-chart
T-chart: Term Number | Number of Shapes
Organize the pattern in a table to easily see how the number of shapes is changing. This helps you find the rule and predict the next term.
4 more steps in this tutorial
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Challenging
In a growing pattern of stars, the rule is 'add 3 stars each time'. If Term 5 has 19 stars, how many stars did Term 1 have?
A.7
B.10
C.16
D.4
Challenging
A simple pattern starts with 2 blocks and adds 2 blocks each time. How many blocks will be in Term 10?
A.18
B.20
C.22
D.12
Challenging
A pattern is made of squares and triangles. Term 1 has 1 square and 2 triangles. Term 2 has 2 squares and 3 triangles. Term 3 has 3 squares and 4 triangles. What is the TOTAL number of shapes in Term 5?
A.5 squares and 6 triangles
B.11
C.6
D.5
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