## Patterns in Numbers and Shapes: Using Algebraic Thinking

Students identify and describe number patterns as an introduction to algebraic
thinking. Students first look for patterns in numbers, objects and a story
and show the patterns in tables. They then learn to describe them using variables
and expressions. Next, graphing on a coordinate grid is introduced as a tool
for understanding patterns. Lastly, students explore some non-linear patterns,
including doubling.

### NCTM Standard: Geometry

- Specify locations and describe spatial relationships using coordinate
geometry and other representational systems

### NCTM Standard: Algebra

- Understand patterns, relations, and functions
- Represent and analyze mathematical situations and structures using algebraic
symbols
- Use mathematical models to represent and understand quantitative relationships
- Analyze change in various contexts

### NCTM Standard: Number and Operations

- Understand numbers, ways of representing numbers, relationships among
numbers, and number systems
- Understand meanings of operations and how they relate to one another

### Primary Mathematical Goals

- Describe patterns using words, tables, graphs, and algebraic expressions
- Use coordinate graphing to compare linear and nonlinear patterns
- Write algebraic expressions using variables
- Describe and extend numerical patterns
- Reason about multiples, factors, and arithmetic operations
- Describe and extending geometric patterns