Kevin HallArlington, Virginia, US,

March 19, 2010

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Algebra materials. Lesson numbers are correlated to the sections in Carnegie Learning Algebra I, but can be used with any textbook.

- Mathematics > General
- Mathematics > Algebra
- Mathematics > Equations
- Mathematics > Number Sense & Operations
- Mathematics > Problem Solving

- Grade 6
- Grade 7
- Grade 8
- Grade 9
- Grade 10

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This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of 2011-09-29.

Content Accuracy: 3

Appropriate Pedagogy: 3

Not Rated Yet.

Table of Contents

- 1.4 Mathematical Modeling Introduction
- 1.6 Linear Patterns
- 1.7 Multiple Representations of Linear Patterns (Lesson Packet)
- 1.7 Lesson Slides
- 2.1-2.6 Proportional Reasoning (Revised and Improved)
- 3.6 Integers: Inquiry and Multiple Representations
- 5.3 Slope of Lines Part 1
- 5.3 Slopes of Lines (Day 2)
- 2.1 - 2.6: Unit on Proportional Reasoning, Rates, Ratios and Percents
- 9.1 Introduction to Quadratic Modeling

Algebra materials. Lesson numbers are correlated to the sections in Carnegie Learning Algebra I, but can be used with any textbook.

These slides scaffold discussion, easing students from simple modeling to a complicated problem represented by a quadratic expression. It can be a good supplement for section 1.4 in Carnegie Learning Algebra I or section 2.3 in Discovering Geometry by Key Curriculum Press.

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Beginning with pictorial representation, this lesson teaches students to write expressions for linear story problems that include a rate of change and an initial value. Students progress from concrete answers ("How much will 4 pizzas cost with delivery?") to abstract ("How much will x pizzas cost?").

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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.

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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.

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This is a revised and improved unit on proportional reasoning, including ratios, rates, scale factors, direct variation, and slope. It mixes small-group inquiry, whole-class discussion, and individual practice.

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Ever noticed how students mix up the rules for adding, subtracting, multiplying and dividing integers? Students need a unifying framework to help make sense of the diverse rules. This unit presents that unifying concept with a novel representation that combines the best aspects of two different representations: number lines, and algebra tiles.

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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.

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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.

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An entire unit of activities for proportional reasoning (including percents). Designed for classes that need to re-teach a lot of middle school content while also meeting high school Algebra I objectives. Also a great resource for middle school teachers. The approach mixes direct instruction with guided inquiry and real-life applications. Students won't get lost, but they will construct some of the concepts themselves and see how the material applies to their lives.

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This is my introductory lesson in Quadratics. It introduces students to the idea of situations where the rate of change is not constant, beginning with an interesting story problem about Facebook. How can you tell when the graph of a situation will NOT make a line? What kinds of situations would be like that? This lesson begins explores quadratic models, and then develops the idea of first and second differences. It concludes with the quadratic characteristic of a constant second difference.

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