1.0 Foundations for Functions

Foundations for functions is the first unit in this Algebra I course. It will set the foundation for the study of all families of functions. The topics of study include variables, graphs, equations, and dependent relationships.
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    1.01 Identifying Patterns.doc

    This Pattern Block activity is simply a collection of linear sequences.The student will generate "rules" or equations for each pattern. All of the rules for the sequences fit the pattern mx + b.
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    1.02 Identifying Patterns (R&A).doc

    This activity is more practice for students at generating rules for patterns.
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    1.03 More Patterns Practice.doc

    This activity is for student practice with generating rules given a pattern. All of the rules will fit the pattern mx+b.
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    1.04 alt. Weight of the World (computer analysis).doc

    This file is to be used in conjunction with "Weight of the World." This document contains the instructions for Logger Pro analysis of the data collected in the activity.
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    1.04 alt. Weight of the World.doc

    The fundamental objective in this lesson is to get the student to realize the word “model” has the same definition in mathematics as it does in other real-world circumstances. The connection that we want from this activity is that mathematical tables, graphs, and rules are “models” which represent real physical circumstances.
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    1.04 alt. Weight of the World (R&A).doc

    This activity is to enrich the student's understanding of the idea of a model. It must follow the initial "Weight of the World" activity.
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    1.04 Models, Models Everywhere.doc

    The fundamental objective in this lesson is to get the student to realize the word “model” has the same definition in mathematics as it does in other real-world circumstances. This activity may be used in place of "Weight of the World." It is hands-on but low-technology.
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    1.05 Models Models Everywhere (R&A).doc

    This document is designed to offer practice with multiple representations. It is to be used as a follow up to "Models Models Everywhere."
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    1.06 Time Marches On.doc

    This activity uses the motion detector to begin intial discussions about variables, domain, range, and intercepts.
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    1.07 Distance Match

    Distance Match is an activity using the motion detector. The student will be able to interpret a graph, match the displayed graph using a motion sensor, and analyze data relationships to make predictions.The function vocabulary that will be used includes the following: variables, dependent and independent variables, domain and range, x- and y-minimums and maximums, and slope.
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    1.08 Domain and Range Practice.doc

    This file is a practice worksheet for finding the range of a function given its domain.
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    1.09 Domain and Range Homework.doc

    This is a worksheet for practice finding the range given the domain of a function.
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    1.10 Warm up Quiz.doc

    This document is a 3-question, multiple choice quiz to be used as a quick assessment tool. In it the student will find the range given the domain of a function.
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    1.11 Correlation Study

    This folder contains 3 real-world problems with which to study correlation.
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    1.12 Correlation Study - Scatterplots (R&A).doc

    This activity will practice the use of the scatterplot in the graphing calculator as well as the concepts of positive, negative, and no correlation.
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    1.13 Correlation Warm-Up.doc

    This document provices a pictoral review of the types of correlation.
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    1.14 Correlation Practice.doc

    This document is designed to offer practice with correlation. The student will use his or her knowledge of correlation and the data presented to answer questions and make predictions.
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    Correlation Review.doc

    Correlation Review is a review of the concepts studied in the correlation unit as well as some review of the concept of "independent and dependent."
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    Foundations of Functions Unit Test.doc

    This is a unit test assessing everything covered in the Foundations of Functions unit.
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    So That's How It Looks.doc

    The main focus of the lesson is having students learn to sketch a graph of a real-world situation and recognize that the graph actually describes what is happening. The concepts of independent and dependent variables will be revisited as well as domain and range. This document contains both teacher notes and the student activity.
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    So That's How It Looks (R&A).doc

    "So That's How It Looks" is for practice with qualitative graphs. The activity will also review identifying the dependent quantity in a relationship as well as observing correlation.

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