Patterns & Sequences for Grades 4–6
Eight focused skills: constant-step patterns, common differences, growing patterns, square numbers, multiplicative patterns, add-the-previous-two sequences, and nth-term rules.
Browse the skills
Each card opens a parent-readable explanation plus a direct Numeris practice room.
Skip Counting & Constant-Step Patterns
A constant-step pattern grows (or shrinks) by the same amount each time — 3, 6, 9, 12 steps by 3.
Practice / Learn →Finding the Common Difference
In an arithmetic sequence, the gap between consecutive terms is constant — the common difference.
Practice / Learn →Growing Patterns
In a growing pattern the step itself gets bigger each time: 1, 2, 4, 7, 11 grows by 1, then 2, then 3, then 4.
Practice / Learn →Square Numbers
A square number is what you get by multiplying a whole number by itself: 1, 4, 9, 16, 25 (= 1×1, 2×2, 3×3, 4×4, 5×5).
Practice / Learn →Multiplicative Patterns
In a multiplicative pattern, each term is the previous one multiplied by a fixed number (the ratio), not added to.
Practice / Learn →Add-the-Previous-Two Patterns
Some sequences build each term by adding the two before it — the famous Fibonacci pattern: 1, 1, 2, 3, 5, 8, 13.
Practice / Learn →Finding the Rule of a Pattern
Given a table of positions and values, the goal is a rule that turns the position (n) into the value — usually a straight-line rule like value = a·n + b.
Practice / Learn →Nth-Term Rules
An nth-term rule lets you find any term without listing them all.
Practice / Learn →Jump into the interactive rooms.
Use the app for free practice, or open a specific skill from any page.
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