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Matching Fractions Decimals Percentages

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In this interactive Flash version of the familiar game Concentration ("pelmanism" in the UK) a single user practices finding equivalent forms of fractions, decimals and percents, while developing memory and focusing skills. The player can choose an array of 16, 20, or 24 cards, which appear face down. The goal is to flip two cards at a time to match all pairs of equivalent values as efficiently as possible. A scoring feature discourages random guessing. Printable versions of the game cards are available to download. The Teachers' Notes page offers suggestions for implementation, discussion questions, and ideas for support.

Material Type: Activity/Lab, Game, Interactive

Order of Operations Made Easy!

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This lesson is about evaluating numerical expressions, and it was designed for adult learners who are preparing to take their High School Equivalency tests. This course will help the students evaluate numerical expressions correctly by following the correct order of operations, which includes the four basic arithmetical operations and the use of exponents and grouping symbols.

Material Type: Lesson

Author: Andres Chan

Push and Support Cards: A Bridge to Advanced Mathematics for the Multi-Level Adult Education Classroom Curriculum Guide

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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.

Material Type: Lesson Plan, Module, Teaching/Learning Strategy

Author: Patricia Helmuth

Basic Arithmetic Student Workbook - Second Edition

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This workbook was created through the efforts of three instructors at Scottsdale Community College in Scottsdale, Arizona. Any individual may download and utilize a digital copy of this workbook for free. The Creative Commons licensing of this text allows others to freely use, modify, or remix any of the information presented here. Contact Donna Gaudet at dgaudet.scc@gmail.com if you are an instructor that wishes to teach with these materials or adapt and edit them for teaching. 238 pages.

Material Type: Textbook

Authors: Amy Volpe, Donna Gaudet, Jenifer Bohart

Slope (m) of a line (Coordinate Geometry)

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An interactive applet and associated web page that demonstrate the slope (m) of a line. The applet has two points that define a line. As the user drags either point it continuously recalculates the slope. The rise and run are drawn to show the two elements used in the calculation. The grid, axis pointers and coordinates can be turned on and off. The slope calculation can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the concept of slope, a worked example and has links to other pages relating to coordinate geometry. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

BC Reads: Adult Literacy Fundamental English – Reader 5

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This reader contains nine original stories written specifically for adults, and is designed to accompany the BC Reads: Adult Literacy Fundamental English - Course Pack 5. This level 5 reader, one of a series of six readers, is roughly equivalent to grades 6 to 7.5 in the K-12 system. New vocabulary are set in bold throughout each story, and then summarized and defined in a Glossary found in the appendix. Font size and line spacing can be adjusted in the online view, and have been enhanced for the print and PDF versions for easier reading. This reader has been reviewed by subject experts from colleges and universities.

Material Type: Textbook

Author: Shantel Ivits

Arithmetic

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Remember your multiplication tables? ... me neither. Brush up on your multiplication, division, and factoring skills with this exciting game. No calculators allowed! The students will be given mutiplication and division problems which they must answer. They also have the option of being given a number then stating the factors of how that number was attained using either multiplication or division.

Material Type: Simulation

Deepening Understanding of the Order of Operations

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This unit is an EQuIP Exemplar for adult education (http://achieve.org/equip). Students will connect their prior, real-world knowledge to the concept of order in mathematics. They will go through a discovery process with content that will build a deep, conceptual understanding of the properties of operations to explain why we perform operations in a certain order when we see just the naked numbers.

Material Type: Lesson Plan, Unit of Study

Author: Connie Rivera

New percentage number strings – Number Strings

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Numberstring.com describes number strings as "a set of related math problems, crafted to support students to construct big ideas about mathematics and build their own strategies." This number string builds students understanding and strategies related to percent, particularly exploring questions such as, "3 is 25% of what number?" SWBAT articulate strategies for determining a whole when given a part and the percentage it represents.

Material Type: Activity/Lab, Teaching/Learning Strategy

Authors: Kara Imm, Rachel Lambert

Math, Grade 7, Proportional Relationships, Percent Increase Problems

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Students represent and solve percent increase problems.Key ConceptsWhen there is a percent increase between a starting amount and a final amount, the relationship can be represented by an equation of the form y = kx where y is the final amount, x is the starting amount, and k is the constant of proportionality, which is equal to 1 plus the percent change, p, represented as a decimal: k = 1 + p, so y = (1 + p)x.The constant of proportionality k has the value it does—a number greater than 1—because of the way the distributive property can be used to simplify the expression for the starting amount increased by a percent of the starting amount: x + x(p) = x(1 + p).Goals and Learning ObjectivesDetermine the unknown amount—either the starting amount, the percent change, or the final amount—in a percent increase situation when given the other two amounts.Make a table to represent a percent increase problem.Write and solve an equation to represent a percent increase problem.

Material Type: Lesson Plan

Teacher Development Appropriate to Support ELLs

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Even among educators who have been successful at educating ELLs under traditional supports and programs, the level of knowledge required to do the job successfully has increased. This paper considers more aggressive and creative capacity-building initiatives that strengthen and integrate the disciplinary teaching strategies with literacy and language development strategies. The authors discuss the value and implications of new partnerships, of structures for collaboration, and of time dedicated to engaging experts from different fields in the design and delivery of teacher preparation and professional development.

Material Type: Reading, Teaching/Learning Strategy

Author: Maria Santo, Linda Darling-Hammond, Tina Cheuk

What Does Text Complexity Mean for English Learners and Language Minority Students?

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This paper addresses the implications, for ELLs, of the new standard's requirement that students be able to read and understand complex, informationally dense texts. The authors discuss the types of supports that learners need in order to work with complex texts. They also provide a sample of what academic discourse involves, using an excerpt from Martin Luther King, Jr.'s Letter from Birmingham Jail. They demonstrate how English learners can be provided with strategies for accessing complex texts, such as closely examining one sentence at a time. The authors argue that instruction must go beyond vocabulary and should begin with an examination of our beliefs about language, literacy and learning.

Material Type: Reading, Teaching/Learning Strategy

Authors: Charles j. Fillmore, Lily Wong Fillmore

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