Chapter 1
Numbers and Operations
Course: Elementary Education Multiple Subjects 7001
Subject: Elementary Education Mathematics Subtest 7003
Chapter: Algebraic Thinking
1. Identifies, extends, describes, or generates number and shape patterns
Recognizing and working with patterns is a foundational skill that builds early algebraic thinking. Patterns are sequences or arrangements that follow a predictable rule or structure, and they can be found in both numerical data and visual representations such as shapes.
Number patterns involve sequences of numbers that change according to a specific arithmetic or geometric rule. These rules include:
- Arithmetic patterns that follow addition or subtraction. For example, the pattern 5, 10, 15, 20 increases by 5 each time. The rule can be described as "start at 5, add 5."
- Geometric patterns that follow multiplication or division. For example, 3, 6, 12, 24 shows a rule of "multiply by 2."
- Alternating or complex patterns that involve a mix of operations or a change in rules. For example, the sequence 2, 4, 3, 6, 4, 8 alternates between adding 2 and adding 1.