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- Contributed By: Kevin Hall
Modeling Discussion Handout.docx
Modeling Discussion PDF of slides.pdf
Modeling Handout PDF of handout.pdf
| ModelingDiscussion.pptx |
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| ModelingDiscussionHandout.docx |
Students must first know the order of operations, at least enough to know that 2x+4 is the same as 4+2x. That's because both expressions would be acceptable answers to a scenario with an initial value of 4 and a rate of 2.
Group Size: Any
Learning Objectives:
Students will be able to identify rate and initial value in story problem scenarios involving linear patterns. Students will be able to write numeric and algebraic expressions evaluating the output of a linear pattern for different (known or unknown) inputs in the context of story problems.
Guiding Question:
In a story problem, how can I tell whether to a given number should be added or multiplied in my answer expression? What's the shortest way to summarize everything I know about a linear pattern?
Materials:
1). Student handouts Optional but recommended: 2). Elmo/document camera 3). Student response whiteboards
Procedures:
Begin with a review of Order of Operations. For this lesson, students just need to know that 2+4x and 4+2x are the same. An optional Order of Ops drill practice Powerpoint is attached. For #1-4, display teacher blacklines on Elmo/document camera. If no Elmo is available, make copies and hand them out. Try to use questioning techniques that are open-ended and stretch students to deeper levels of reasoning. For example, if two students have different answers for a question, display both answers and ask the class to compare the reasoning processes underneath both. Beginning with #5, allow students to work in small groups on remaining questions.
Assessment:
Whiteboard responses will give you a quick sense of each student's comprehension.
Attached Files:
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| 1.6Lesson--StudentHandout.pdf |
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| 1.6Lesson--StudentHandout.docx |
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| 1.6Lesson--TeacherMaterials.docx |
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| 1.6Lesson--TeacherMaterials.pdf |
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| 1.6OrderofOpsDrill.ppt |
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| 1.6OrderofOpsStudentSheet.pptx |
Students learn to translate between table, graph, and algebraic equation for linear patterns. The lesson focuses student attention on identifying the rate of change and initial value in each representation. Lesson comes with short PowerPoint slides designed to help the teacher move among students watching them work as they complete an Understanding Check at the end of the lesson.
These slides accompany the 1.7 Lesson Packet. Problems are animated so that solutions appear step-by-step for each solution. This lets teachers reveal the solutions slowly, and after the class has discussed each step and students have suggested their ideas. The last slide is designed so the teacher can wander among students checking their work, encouraging them, and re-teaching while slowly revealing the solution by simply clicking a remote mouse.
Hooks students through an exciting number trick. Explores why number tricks work through a pictorial approach (algebra tiles), leading to the concept of operations that "undo" each other. Translates this concept to an understanding of canceling in algebraic expressions. Teaches students how to take a two-step expression and undo it. Finishes by asking students to creatively design their own number trick so everybody can try out someone else's.
Formative assessment for the middle of Lesson 3.1a
Companion PowerPoint for Lesson 3.1a.
Answers and teacher notes for Lesson 3.1a
Students use real-world knowledge and hands-on algebra tiles to learn the basics of equation-solving. The lesson progressive from a concrete scenario involving downloading music to abstract representations with variables. A companion PowerPoint slideshow scaffolds discussion and demonstrates proper use of algebra tiles.
Companion PowerPoint with animated, step-by-step solutions to example problems. Use the slides with the 3.2 Lesson Packet to toggle between student small-group inquiry and whole-class discussion. Slides focus student attention of the most important features of the the lesson and demonstrate the use of algebra tiles manipulatives for equation-solving.
An introduction to the slope formula. SEE NOTES at bottom of each slide for details on how to use them. Can be used with any textbook.
An follow-up lesson on the slope formula. SEE NOTES at bottom of each slide for details on how to use them. Can be used with any textbook.
