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Function Notation Composite Functions - Angle Sums of Polygons. The Mouse Problem. Inquiry Based Practices. Tools for Inquiry. Making sense of the problem Collecting Data Identifying Patterns From specific to general From concrete to abstract Making / Proving guesses Peer collaboration
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Function Notation Composite Functions - Angle Sums of Polygons The Mouse Problem Inquiry Based Practices Tools for Inquiry • Making sense of the problem • Collecting Data • Identifying Patterns • From specific to general • From concrete to abstract • Making / Proving guesses • Peer collaboration • Developing formulas • Perseverance • There are habits and practices that successful students use when solving problems. You can use these same skills for any math problem, or even in your other subjects. Working with your classmates, you can choose which strategies work better for different problems. • TOOLS • Paper • Pencil • Graphic Organizer • Calculator • Peers • PRACTICES • From specific to general • From concrete to abstract • Peer collaboration • Developing formulas • Perseverance • PROBLEM STRUCTURE • Your worksheet gives you step-by-step directions. Each answer leads to the next question. We want you to notice any developing patterns. The written questions model many of the questions you should ask yourself (or your peers) when solving problems. • MATHEMATICAL SKILLS • Geometric shapes • Angle measures • Function notation • Composite functions • Relations / Functions Collaboration Isn’t Cheating!Cait Dougherty, Katie Perkins, Chris TemproWilliam Allen High School • Calculator • Pen / Pencil • Paper • Computer • Manipulatives • Ruler • Peers • Teacher • Graphic Organizer • It’s important to know which tools are available, and to know how and when to use them. It’s also important to know that your classmates can be your most valuable tool. They can often explain things in ways your teacher can’t. And when you explain to your classmates, you learn the subject better! • PROBLEM STRUCTURE • Your worksheet just gives you the problem. You and your peers must choose the tools and decide which strategies to use to solve it. You must work together to read, interpret, and analyze the problem, collect data and organize it in a way that reveals the pattern. • TOOLS • Grid Paper • Ruler • String • Pencil • Manipulatives • Calculator • Peers • Graphic organizer • PRACTICES • Making sense of the problem • Peer collaboration • From concrete to abstract • From specific to general • Making /proving guesses • Developing formulas • Perseverance • MATHEMATICAL SKILLS • Geometric shapes • Measurement • Greatest Common Factor • Function notation • Relations / Functions • Writing equations • Creating tables