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Applying Mathematical Properties of Addition
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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
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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
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
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
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
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
A Spiral Workbook for Discrete Mathematics
Conditional Remix & Share Permitted
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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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
Conditional Remix & Share Permitted
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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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
Analyzing and Making Mathematical and Historical Claims from (Linear) Data Representations
Conditional Remix & Share Permitted
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
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
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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
6.G Polygons in the Coordinate Plane
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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
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
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
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