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Applied Mathematics Textbook
Unrestricted Use
CC BY
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This applied mathematics textbook covers Matrices and Pathways, Statistics and Probability, Finance, Cyclic, Recursive and Fractal Patterns, Vectors, and Design. The approach used is primarily data driven, using numerical and geometrical problem-solving techniques.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Southern Alberta Institute of Technology
Author:
Ayopo Odunuga
Milad Sabeti
Yoni Porat
Date Added:
08/15/2019
Applied Mathematics, Third Edition
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CC BY-ND
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Applied Mathematics, Third Edition. This textbook was written for the math component for Associate of Applied Science degrees at the College of Southern Nevada.

Subject:
Career and Technical Education
Geometry
Measurement and Data
Numbers and Operations
Ratios and Proportions
Statistics and Probability
Material Type:
Textbook
Author:
Jim Matovina
Date Added:
08/16/2019
Applying Mathematical Properties of Addition
Unrestricted Use
CC BY
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Khan Aacdemy provides free resources for teachers and students in various subjects. In the subject of Math, you can videos; tutorials, and practice for your students.  

Subject:
Mathematics
Material Type:
Lesson
Author:
Jodi Barnes
Date Added:
08/18/2022
Mathematics, the Common Core, and Language
Read the Fine Print
Some Rights Reserved
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This paper makes recommendations for developing mathematics instruction for English Language Learners (ELLs) aligned with the Common Core State Standards. The recommendations can guide teachers, curriculum developers, and teacher educators as they develop their own ways of supporting mathematical reasoning and sense-making for ELLs.Some instructional recommendations discussed in the paper include: Focus on ELL students' mathematical reasoning, not the correctness of their mathematical language use. Shift to a focus on mathematical discourse practices; move away from simplified views of language. Support ELL students as they engage in complex mathematical language. Use ELL students' language and experiences as resources. Provide professional development to enhance teachers' awareness of ways to support ELs as they develop both language and mathematical knowledge.

Subject:
Language Education (ESL)
Material Type:
Reading
Teaching/Learning Strategy
Provider:
Stanford University School of Education
Provider Set:
Understanding Language
Author:
Judit Moschkovich
Date Added:
03/02/2012
Applying Angle Theorems
Only Sharing Permitted
CC BY-NC-ND
Rating
4.0 stars

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.

Subject:
Geometry
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Technical Mathematics
Conditional Remix & Share Permitted
CC BY-NC-SA
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Short Description:
This developmental-level mathematics textbook is intended for career-technical students. Order a print copy: https://tinyurl.com/techmath1e

Word Count: 32112

ISBN: 978-1-63635-075-2

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Mathematics
Material Type:
Textbook
Author:
Morgan Chase
Date Added:
01/24/2021
Applied Discrete Structures
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
5.0 stars

Best open source book in Discrete Math. Covers all the subjects in a standard Discrete Math class for mathematics or computer science students and contains sage cells for all subjects. Set Theory, Combinatorics, Logic, Relations, Recursion, Graph Theory, Trees, Algebraic Structures, Boolean Algebras, Automata, etc. Originally published commercially, its original text was peer-reviewed and was adopted for use at several universities throughout the country. Now in its open source version, has the same quality but it is free.

Subject:
Computer Science
Mathematics
Material Type:
Activity/Lab
Reading
Textbook
Author:
Al Doerr
Ken Levasseur
Date Added:
12/03/2021
Mathematically Productive Instructional Routines (MPIR)
Unrestricted Use
CC BY
Rating
5.0 stars

Mathematically Productive Instructional Routines (MPIR) are short (10ish minutes), daily exercises aimed at building number sense. These six different MPIR are part of the Mathematically Productive Instructional Routines collection from the Washington Office of Public Instruction and the Washington Association of Educational Service Districts.

Subject:
Mathematics
Material Type:
Teaching/Learning Strategy
Author:
Barbara Soots
Washington OSPI OER Project
Washington OSPI Mathematics Department
Date Added:
04/05/2021
Mathematics Done in English
Unrestricted Use
CC BY
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A good way to learn to do math in English is to do math in English. The topics and materials should be accessible but engaging. This gives us incentive to make tangents into gambling, game theory, computers, art, and any other fields where we see connections. Interdisciplinary applied mathematics can be found within these pages.

This book was written for high school students in Japan studying English for Applied Purposes, so that they could potentially take math classes when studying abroad in the future. However, nothing in the book depends on the country.

Subject:
Language Education (ESL)
Mathematics
Material Type:
Textbook
Author:
Douglas Perkins
Date Added:
02/12/2024
Illustrative Mathematics: Areas of Special Quadrilaterals
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task asks students to identify which of the six polygons have the same area. Students may complete the task using a variety of techniques including decomposing shapes, using transformations (rotations, reflections, translations) to move one or more parts of the figure to another part to more easily calculate the area, enclosing the polygon inside a larger rectangle and then subtract the areas of the "extra" pieces, etc.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Lesson Plan
Provider:
Illustrative Mathematics
Date Added:
05/08/2020
Applied Math for Food Service
Unrestricted Use
CC BY
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NSCC MATH 1020

Short Description:
Applied Math for Food Service is an adapted open textbook created by Amy Savoury. This new open textbook remixes content from two open textbooks published by BC Campus under CC BY licences: Basic Kitchen & Food Service Management by The BC Cook Articulation Committee, and Math for Trades by Chad Flinn and Mark Overgaard.

Word Count: 26676

ISBN: 978-1-990641-68-8

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Culinary Arts
Mathematics
Measurement and Data
Material Type:
Textbook
Provider:
NSCC
Date Added:
07/01/2021
Mathematics Writing Prompts
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CC BY-NC
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This is three examples of "Type III" documents that I have prepared for students to write about math. Our school uses the Collins system of writing, but these could be adapted to a variety of classroom settings. The topics could be middle school or early high school topics, and they are set up to allow students to indepedently express their knowledge of the given topics in short essay form.

In addition to the writing prompts, I have included a rubric that students use to peer-edit each others' rough drafts. Students then use this feedback form to make the necessary corrections and submit a subsequent final draft.

Subject:
Mathematics
Material Type:
Activity/Lab
Assessment
Author:
Jason Rothgeb
Date Added:
04/03/2013
Discrete Mathematics Reading List
Unrestricted Use
CC BY
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Discrete Mathematics Reading List

MTH 231 ELEMENTS OF DISCRETE MATHEMATICS
Elementary logic and set theory, functions, direct proof techniques, contradiction and contraposition, mathematical induction and recursion, elementary combinatorics, basic graph theory, minimal spanning trees.

Course outcomes: Students who complete MTH 231 will be able to:
1. Apply basic set operations.
2. Negate compound and quantified statements and form contrapositives.
3. Construct a direct proof (from definitions) of simple statements.
4. Apply the principle of mathematical induction.
5. Construct indirect proofs by contraposition and contradiction.
6. Construct explanations for solutions to counting problems.
7. Utilize one or more algorithms for finding a shortest path or a minimal spanning tree in a
connected graph.

Subject:
Mathematics
Material Type:
Reading
Teaching/Learning Strategy
Author:
Jessica Giglio
Date Added:
03/08/2021
Introducing Mathematical Biology
Unrestricted Use
CC BY
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An Open Education Resource

Short Description:
Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

Word Count: 41598

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Computer Science
Mathematics
Calculus
Material Type:
Textbook
Author:
Alex Best
Date Added:
07/12/2023
BUSI1915 - Fundamentals of Business Mathematics
Conditional Remix & Share Permitted
CC BY-NC-SA
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Business math is the study of mathematics required by the field of business. Business professionals will work with taxes, gross earnings, product prices, and currency exchange; they will be offered loans, lines of credit, mortgages, leases, savings bonds, and other financial tools. This textbook covers all of these topics and how these financial tools can maximize their earnings and minimize their costs. It also discusses how to execute smart monetary decisions both personally and for their business.

Subject:
Mathematics
Material Type:
Textbook
Provider:
eCampusOntario
Author:
OER Lab
Date Added:
08/25/2021
GeoGebra / Illustrative Mathematics course files
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CC BY-NC
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Download GeoGebra Illustrative Mathematics LMS course files. All of GeoGebra's Illustrative Mathematics apps have been placed via links into Moodle courses - each unit is one course. There are twenty save middles school courses and more for high school (the list is growing.) These course files can then be uploaded into Moodle, Schoology, Canvas or D2L.

Subject:
Mathematics
Material Type:
Full Course
Author:
Dan MGuire
Diana Fisher Ph.D.
Date Added:
04/07/2021
Applied Statistics in Healthcare Research
Only Sharing Permitted
CC BY-NC-ND
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The primary learning objective of this textbook is to introduce the reader to the fundamental statistical methods and basic analytical procedures associated with processing data in regard to healthcare research. It is intended that by working through the applications and practice problems, readers should be able to understand and apply some of the methods for developing, implementing, and applying healthcare statistic principles in research.

Subject:
Health, Medicine and Nursing
Statistics and Probability
Material Type:
Textbook
Provider:
UPEI Pressbooks Network
Author:
Alyson Mahar
Emily Read
Krista Ritchie
Teri McComber
William Montelpare
Date Added:
05/19/2021
Econometrics Applied
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

Word Count: 13065

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Statistics and Probability
Material Type:
Textbook
Date Added:
01/26/2024
Mathematics for Game Developers
Unrestricted Use
CC BY
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Students interested and engaged in game development careers are often students who are underprepared for direct entry into a Calculus sequence. Students who are hesitant to study computer science, are often interested and engaged in gaming. That’s what led to this set of activities; cloaking advanced mathematics to build confidence for teachers and students on a set of topics intimidating for educators and overwhelming for students.

We view this offering as a series of activities, rather than as a math book. Each activity includes short descriptions, examples, and most include teacher notes at activity end. Feel free to edit to support your students.

Subject:
Computing and Information
Mathematics
Material Type:
Activity/Lab
Author:
Denny Burzynski
Date Added:
07/28/2022
LWTech Applied Research Symposium 2021
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CC BY-NC
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0.0 stars

Short Description:
Research posters and presentations from the 2021 annual Applied Research Symposium

Word Count: 2839

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Applied Science
Information Science
Mathematics
Statistics and Probability
Material Type:
Textbook
Date Added:
06/14/2021
A Spiral Workbook for Discrete Mathematics
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CC BY-NC-SA
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This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students’ problem-solving and writing skills.

Subject:
Computer Science
Mathematics
Functions
Numbers and Operations
Material Type:
Textbook
Provider:
State University of New York
Provider Set:
Milne Open Textbooks
Author:
Harris Kwong
Date Added:
11/06/2015
Math, Grade 6, Equations and Inequalities, Applying Multiplication Properties
Conditional Remix & Share Permitted
CC BY-NC
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0.0 stars

Lesson OverviewStudents apply the multiplication property of equality to solve equations.Key ConceptsIn the previous lesson, students solved equations of the form x + p = q using the addition property of equality. In this lesson, they will solve equations of the form px = q using the multiplication property of equality. They will multiply or divide both sides of an equation by the same number to obtain an equivalent equation.Since multiplication by a is equivalent to division by 1a, students will see that they may also divide both sides of the equation by the same number to get an equivalent equation. Students will also apply this property to solving a particular kind of equation, a proportion.Goals and Learning ObjectivesUse the multiplication property of equality to keep an equation balanced.Use the multiplication property of equality to solve equations of the form px = q for cases in which p, q, and x are all non-negative rational numbers.Use the multiplication property of equality to solve proportions.

Subject:
Algebra
Material Type:
Lesson Plan
Date Added:
09/21/2015
Math, Grade 6, Getting Started, Mathematical Character
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CC BY-NC
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Students review the ways classroom habits and routines can strengthen their mathematical character. Students learn what a Gallery is and how to choose a Gallery problem to work on. They then choose one of three Gallery problems that introduce the unit’s technology resources. The three Gallery problems combine working with expressions with the resources available with this unit.Key ConceptsUnderstand that a Gallery gives students a choice of several problems. Understand what to consider when choosing a problem. Know how to work on a Gallery problem and how to present work on gallery problems.Goals and Learning ObjectivesKnow how to choose a problem from a Gallery.

Subject:
Mathematics
Material Type:
Lesson Plan
Date Added:
09/21/2015
Grade 3 Mathematics Module 1
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CC BY-NC-SA
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This 25-day module begins the year by building on students’ fluency with addition and knowledge of arrays.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Numbers and Operations
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
05/11/2013
Math, Grade 7, Zooming In On Figures, Applying The Volume Formula
Conditional Remix & Share Permitted
CC BY-NC
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0.0 stars

Students discover the formula for finding the volume of a pyramid and apply the formula to solve problems.Key ConceptsThe volume of a pyramid is one-third the volume of a prism with the same base and height. The shape of the base does not matter (including if it’s a circle), and students will see the same one-third comparison between a cylinder and cone.GoalsUnderstand the formula for the volume of a pyramid.Apply the volume formula to solve problems.

Subject:
Geometry
Material Type:
Lesson Plan
Date Added:
09/21/2015
Push and Support Cards: A Bridge to Advanced Mathematics for the Multi-Level Adult Education Classroom Curriculum Guide
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
5.0 stars

Adult education classrooms are commonly comprised of learners who have widely disparate levels of mathematical problem-solving skills. This is true regardless of what level a student may be assessed at when entering an adult education program or what level class they are placed in. Providing students with differentiated instruction in the form of Push and Support cards is one way to level this imbalance, keeping all students engaged in one high-cognitive task that supports and encourages learners who are stuck, while at the same time, providing extensions for students who move through the initial phase of the task quickly. Thus, all
students are continually moving forward during the activity, and when the task ends, all students have made progress in their journey towards developing conceptual understanding of mathematical ideas along with a productive disposition, belief in one’s own ability to successfully engage with mathematics.

Subject:
Mathematics
Material Type:
Lesson Plan
Module
Teaching/Learning Strategy
Author:
Patricia Helmuth
Date Added:
05/23/2018
Analyzing and Making Mathematical and Historical Claims from (Linear) Data Representations
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CC BY-NC-SA
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A statistics lesson on describing and making claims from data representations, specifically linearly increasing data. Applies ideas of rate-of-change to develop writing a linear equation to fit the data, using the equation to interpolate and extrapolate additional information, and integrating the mathematical interpretation appropriately into a social sciences argument.

Subject:
Mathematics
Material Type:
Lesson Plan
Author:
Sarah Ahmed
Johanna Langill
Date Added:
03/31/2015
Measuring Human Rights: High School Mathematics Unit
Unrestricted Use
CC BY
Rating
5.0 stars

In this unit, students will read and interpret primary sources to address the question “How do we measure the attainment of human rights?” By exploring the Universal Declaration of Human Rights, the UN’s Guide to Indicators of Human Rights, and data about development indicators from multiple databases, students will unpack the complexities of using indicators to measure human rights.

Subject:
Mathematics
Material Type:
Assessment
Lesson Plan
Author:
Tamar Posner
Date Added:
11/21/2014
6.G Polygons in the Coordinate Plane
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The vertices of eight polygons are given below. For each polygon: * Plot the points in the coordinate plane connect the points in the order that they a...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
09/08/2013
Introduction to Applied Statistics for Psychology Students
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

Word Count: 72364

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Mathematics
Statistics and Probability
Social Science
Material Type:
Textbook
Author:
Gordon E. Sarty
Date Added:
03/01/2022
6.G Wallpaper Decomposition
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/06/2015
6.G Walking the Block
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/06/2015
8.G Area of a Trapezoid
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Quadrilateral $ABCD$ is a trapezoid, $AD = 15$, $AB = 50$, $BC = 20$, and the altitude is 12. What is the area of the trapezoid?...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
03/17/2013
8.G Spiderbox
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: A spider walks on the outside of a box from point A to B to C to D and finally to point E as shown in the picture below. Draw a net of the box and map ...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
11/25/2013
6.G Nets for Pyramids and Prisms
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Subject:
Geometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/06/2015
5.MD Cari's Aquarium
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Cari is the lead architect for the city’s new aquarium. All of the tanks in the aquarium will be rectangular prisms where the side lengths are whole nu...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/13/2013
8.G Two Triangles' Area
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Let $A$ be the area of a triangle with sides of length 25, 25, and 30. Let $B$ be the area of a triangle with sides of length 25, 25, and 40. Find $A/B...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/29/2013
6.EE,RP 7.EE,RP Anna in D.C.
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Anna enjoys dinner at a restaurant in Washington, D.C., where the sales tax on meals is 10%. She leaves a 15% tip on the price of her meal before the s...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
03/17/2013