## Mathematics of Motion: Distance, Speed, and Time

Students begin by focusing on ways to measure, estimate and represent motion and by looking at components of motion, such as distance, direction, speed and time. They then start to develop different distance-time graphs, including distance-from, distance-to and total-distance. In the final phase, students gain additional practice translating among distance-time graphs and verbal descriptions of the real-life situations the graphs represent. The emphasis throughout the unit is on connections between different representations.

### 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

### Primary Mathematical Goals

• Use equations and graphs to represent motion
• Compare rates by comparing slopes of lines
• Translate between written and verbal descriptions, tables, graphs, and equations
• Collect, display, and analyze data related to various types of motion