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  • MI.Math.Content.HSF-IF.B.5 - Relate the domain of a function to its graph and, where applicable, to...
Algebra 1 (2nd Student's Edition)
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A work in progress, CK-12's Algebra I Second Edition is a clear presentation of algebra for the high school student. Topics include: Equations and Functions, Real Numbers, Equations of Lines, Solving Systems of Equations and Quadratic Equations.

Subject:
Algebra
Functions
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Author:
Andrew
Annamaria
Anne
Eve
Farbizio
Gloag
Rawley
Date Added:
12/03/2010
Brief Calculus
Unrestricted Use
CC BY
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This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Benjamin Crowell
Date Added:
10/28/2014
Brief Calculus
Unrestricted Use
CC BY
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0.0 stars

This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Benjamin Crowell
Date Added:
10/28/2014
CK-12 Algebra I Second Edition
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
04/03/2018
CS In Algebra 1.1: Rocket Height
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Using the Design Recipe, students will work through a series of word problems about calculating the height of a rocket after a given number of seconds from launch. The functions they write will be used to animate the rocket launch.

Subject:
Applied Science
Computer Science
Material Type:
Lesson Plan
Provider:
Code.org
Provider Set:
CS in Algebra
Date Added:
12/11/2019
CS In Algebra 1.7: Composite Functions
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CC BY-NC-SA
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In the past lessons students have defined Variables and written Fast Functions. In this stage, they will continue to explore function writing with ever increasing complexity.

Subject:
Applied Science
Computer Science
Material Type:
Lesson Plan
Provider:
Code.org
Provider Set:
CS in Algebra
Date Added:
12/11/2019
CS In Algebra 1.8: The Design Recipe
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In the last stage, students wrote some very simple functions - but more sophisticated functions demand a more thoughtful approach. The Design Recipe is a structured approach to writing functions that includes writing a purpose statement and test cases to ensure that the function works as expected. Once students have mastered the Design Recipe process, they can apply it to any word problem they encounter.

Subject:
Applied Science
Computer Science
Material Type:
Lesson Plan
Provider:
Code.org
Provider Set:
CS in Algebra
Date Added:
12/11/2019
CS In Algebra 1.9: Solving Word Problems with the Design Recipe
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In this stage students practice using the Design Recipe to write functions which solve for word problems. Towards the end of the lesson students should be ready to begin using the Design Recipe on problems from your own math curriculum.

Subject:
Applied Science
Computer Science
Material Type:
Lesson Plan
Provider:
Code.org
Provider Set:
CS in Algebra
Date Added:
12/11/2019
CTE Health Sciences: Spread of Disease
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CC BY-NC-SA
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This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Subject:
Algebra
Applied Science
Functions
Health, Medicine and Nursing
Mathematics
Material Type:
Activity/Lab
Lesson Plan
Author:
National Association of State Directors of Career Technical Education Consortium
Date Added:
08/06/2020
Calculus
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CC BY-NC-SA
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Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Author:
Gilbert Strang
Date Added:
01/01/1991
The Canoe Trip, Variation 1
Unrestricted Use
CC BY
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The purpose of this task is to give students practice constructing functions that represent a quantity of interest in a context, and then interpreting features of the function in the light of that context. It can be used as either an assessment or a teaching task.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
The Canoe Trip, Variation 2
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CC BY
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The primary purpose of this task is to lead students to a numerical and graphical understanding of the behavior of a rational function near a vertical asymptote, in terms of the expression defining the function. The canoe context focuses attention on the variables as numbers, rather than as abstract symbols.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Fitting A Line to Data
Read the Fine Print
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Khan Academy tutorial video that uses Excel spreadsheet and actual income data to predict annual income and expresses why lines and models are useful and interesting.

Subject:
Algebra
Education
Mathematics
Material Type:
Teaching/Learning Strategy
Provider:
Florida Center for Research in Science, Technology, Engineering, and Mathematics
Provider Set:
iCPALMS: A Standards-based K-12 Resources and Tools Pathway
Author:
Salman Khan
Date Added:
03/17/2011
Functions and Their Graphs
Unrestricted Use
CC BY
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This unit builds on the student's prior learning of how to find a rule that takes a given input value to exactly one output value. In this unit students will be able to identify when a relation is a function and use proper vocabulary (domain and range) and function notation.

Families of functions will be introduced in this unit including linear, absolute value, exponential and quadratic families of functions. Students will use graphs, tables and equations to identify the parent function and be able make a graph from the information in an equation and vice versa. This unit also introduces students to the concept of functions and their inverses. Students will write expressions for simple, linear functions that have an inverse.

Students will continue to use the concepts learned in this unit throughout the remainder of the course and in high school courses.

Subject:
Functions
Mathematics
Material Type:
Unit of Study
Provider:
Michigan Virtual
Author:
Sarah Azarovitz
Date Added:
09/11/2016
High School Math 1
Unrestricted Use
CC BY
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This is course material published for a secondary Math 1 course. Authors of this work are: Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, Janet Sutorius and updated from the original work in 2013 in partnership with the Utah State Office of Education.

Subject:
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Lesson
Module
Author:
Gina Loveless
Date Added:
09/02/2020
L'Hospital's Rule
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CC BY-NC
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This is a lesson on L'Hospital's rule which is an AP Calculus AB/BC topic. Students will learn about indeterminate forms and how to use a derivative to determine the limit.

Subject:
Mathematics
Material Type:
Lesson
Provider:
Michigan Virtual
Author:
Jeff Oleksinski
Date Added:
04/13/2017