A pattern uses shapes: small red circle, large blue square, small red circle, large blue square. Which attributes are changing in this pattern?
AOnly the shape changes
BOnly the color changes
CShape, color, and size all change together
DNothing changes — they are all the same
Three attributes change simultaneously: shape (circle vs. square), color (red vs. blue), and size (small vs. large). All three switch together as the pattern alternates. Recognizing that multiple attributes can be part of the same pattern rule is a key step in analytical thinking.
Question 2 Multiple Choice
A pattern starts with 1 square in step 1, 3 squares in step 2, and 5 squares in step 3. Is this a repeating pattern or a growing pattern?
ARepeating — because it uses the same shape (squares) each time
BGrowing — because the number of squares increases by 2 each step
CNeither — it is just counting
DBoth — it repeats and grows
This is a growing pattern: the number of squares increases by 2 each step (1, 3, 5, 7...). A repeating pattern would cycle through a fixed sequence over and over. Even though the same shape is used, the quantity changes systematically. The rule is 'add 2 more squares each step,' which makes it grow rather than repeat.
Question 3 True / False
Shape patterns and number patterns are largely unrelated types of reasoning.
TTrue
FFalse
Answer: False
Shape patterns and number patterns are deeply connected. A growing shape pattern (1 tile, 3 tiles, 5 tiles, 7 tiles) has a number pattern inside it (the sequence 1, 3, 5, 7 with the rule 'add 2'). Every shape pattern can be described with numbers, and many number patterns can be visualized with shapes. The ability to translate between visual and numerical representations is a powerful reasoning skill.
Question 4 Short Answer
Why is it important to identify which attributes are changing in a shape pattern and which are staying the same?
Think about your answer, then reveal below.
Model answer: Identifying what changes and what stays the same reveals the rule. In a pattern where only the color changes (red-blue-red-blue), the rule is about color alternation. In a pattern where both shape and size change, the rule involves two attributes. If you miss an attribute that is changing, you will describe an incomplete rule and may extend the pattern incorrectly. Separating dimensions of change is also how scientists and mathematicians analyze complex systems — by isolating one variable at a time.
This skill — separating variables — is foundational. It shows up in science (controlled experiments), mathematics (functions of multiple variables), and logic (analyzing compound statements). Shape patterns give young students a concrete, visual context for practicing this analytical habit.