Variables+and+Patterns+10-11

Variables and Patterns
Big Idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

What we KNOW and WANT TO KNOW before we start the unit

 INV 1 Essential Question: What are some of the variables around us? 1.1 Preparing for a Bicycle Tour - Chae Un Erik 1.2 Making Graphs - Aayushi Mathematical Reflections, p 17 - Eun su

INV 2 Essential Question: What are some situations that we can describe as variable? 2.1 Day1: Philadelphia to Atlantic City - Josh 2.2 Day 2: Atlantic City to Lewes - Hyuk Chan 2.3 Day 3: Lewes to Chincoteague - Zoe 2.4 Day 4: Chincoteague Island to Norfolk - Madina 2.5 Day 5: Norfolk to Williamsburg - Grant Mathematical Reflections, p 35 - Caroline

INV 3 Essential Question: How can I visually explain situations where one thing changes based on another? 3.1 Renting Bicycles - Madihah 3.2 Finding Customers - Ani 3.3 Predicting Profit - Alex 3.4 Paying Bills and Counting Profits - Noel Mathematical Reflections, p 48 - Amreet

INV 4 Essential Question: How can I use graphs, tables and symbols to solve problems? 4.1 Heading Home - JiHun 4.2 Changing Speeds - Chae Young 4.3 Calculating Costs and Profits - Ani Mathematical Reflections, p 60 - Chae Un

INV 5 Essential Question: How can a graphing calculator help me to discover relationships between variables? 5.1 Graphing on a Calculator - Alan 5.2 Making Tables on a Calculator - Marta Mathematical Reflections, p 68 - Zoe

// Variables and Patterns Vocabulary //
change coordinate graph coordinate pair cost dependent variable distance income independent variable pattern profit rate of speed relationship rule scale table time variable x-axis y-axis x-coordinate y-coordinate