Law and Algebra: SVU (Special Visual Unit)

For too long, algebra has been viewed in adult education as the second most daunting math (second only to fractions), and now it is time to make algebra as approachable as adding. This resource will help you to discover some new approaches to teaching algebra as patterns, rules, equations, and lines on a graph while utilizing research-based tools, techniques, and resources learned from the Adult Numeracy Instruction – Professional Development (ANI-PD). Hands-on practice and ready-to-use resources are provided.

Material Type: Activity/Lab, Diagram/Illustration, Homework/Assignment, Teaching/Learning Strategy, Unit of Study

Author: Heidi Schuler-Jones

Ratio Sort

Students often think additively rather than multiplicatively. For example, if you present the scenario, "One puppy grew from 5 pounds to 10 pound. Another puppy grew from 100 pounds to 108 pounds." and ask, "Which puppy grew more?" someone who is thinking additively will say that the one who now weighs 108 grew more because he gained 8 pounds while the other gained 5 pounds. Someone who is thinking multiplicatively will say that the one that now weighs 10 pounds grew more because he doubled his weight while the other only added a few pounds. While both are correct answers, multiplicative thinking is needed for proportional reasoning. If your students are thinking additively, you can nudge them toward multiplicative thinking with this activity.

Material Type: Activity/Lab, Interactive, Lesson Plan

Author: Connie Rivera

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra by Tyler Wallace is a textbook licensed under a Creative Commons Attribution 3.0 Unported License. There is also a student guide and supplemental videos for each section.

Material Type: Textbook

Author: Tyler Wallace

Everything Maths: Grade 11

This is a comprehensive math textbook for Grade 11. It can be downloaded, read on-line on a mobile phone, computer or iPad. Every chapter has links to on-line video lessons and explanations. Summary presentations at the end of each chapter offer an overview of the content covered, with key points highlighted for easy revision. Topics covered are: language of mathematics, exponents, surds, error margins, quadratic sequences, finance, quadratic equations, quadratic inequalities, simultaneous equations, mathematical models, quadratic functions and graphs, hyperbolic functions and graphs, exponential functions and graphs, gradient at point, linear programming, geometry, trigonometry, statistics, independent variables, dependent events. This book is based upon the original Free High School Science Text series.

Material Type: Textbook

Adult Literacy Fundamentals Mathematics: Book 2

: Fundamental mathematics for adult learners. Book 2 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Material Type: Textbook

Authors: Liz Gerard, Wendy Tagami

Adult Literacy Fundamentals Mathematics: Book 4

: Fundamental mathematics for adult learners. Book 4 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Material Type: Textbook

Authors: Liz Gerard, Wendy Tagami

Adult Literacy Fundamentals Mathematics: Book 5

: Fundamental mathematics for adult learners. Book 5 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Material Type: Textbook

Authors: Liz Gerard, Wendy Tagami

Algebra and Trigonometry 2e

Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

Material Type: Textbook

Authors: David Lippman, Jay Abramson, Jean-Marie Magnier, Melonie Rasmussen, Nicholas Belloit, Rachael Gross, Rick Norwood, Valeree Falduto

Arithmetic | Algebra

Arithmetic | Algebra provides a customized open-source textbook for the math developmental students at New York City College of Technology. The book consists of short chapters, addressing essential concepts necessary to successfully proceed to credit-level math courses. Each chapter provides several solved examples and one unsolved “Exit Problem”. Each chapter is also supplemented by its own WeBWork online homework assignment. The book can be used in conjunction with WeBWork for homework (online) or with the Arithmetic | Algebra Homework handbook (traditional). The content in the book, WeBWork and the homework handbook are also aligned to prepare students for the CUNY Elementary Algebra Final Exam (CEAFE).

Material Type: Textbook

Authors: Holly Carley, Lin Zhou, Marianna Bonanome, Samar ElHitti, Thomas Tradler

Arithmetic for College Students

This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers using an integrated geometry and statistics approach. The course uses the late integers model—integers are only introduced at the end of the course.

Material Type: Full Course, Textbook

Author: David Lippman

Everything Maths: Mathematical Literacy

Mathematical literacy textbook for grade 10. This resource includes an interactive online textbook that can be read on personal computers, tablets, and mobile phones. Downloadable textbook and and teachers' guide also available in PDF format, in both English and Afrikaans

Material Type: Textbook

Pythagorean Theorem Worksheet

This 12-problem worksheet is an assessment tool I created to see how well my adult education students grasped my lesson on the Pythagorean Theorem. There are plug-and-chug questions that require the students to solve for the lengths of missing sides and more complicated problems.

Material Type: Assessment, Homework/Assignment

Author: Madison Miller

Math, Grade 6, Distributions and Variability, Reviewing How Data Affects A Histogram

Students explore how adjusting the bin width or adding, deleting, or moving data values affects a histogram.Students use the Histogram interactive to explore how the bin width can affect how the data are displayed and interpreted. Students also explore how adjusting the line plot affects the histogram.Key ConceptsAs students learned in the last lesson, a histogram shows data in intervals. It shows how much data is in each bin, but it does not show individual data. In this lesson, students will see that the same histogram can be made with different sets of data. Students will also see that the bin width can greatly affect how the histogram looks.Goals and Learning ObjectivesExplore what the shape of the histogram tells us about the data set and how the bin width affects the shape of the histogram.Clarify similarities and differences between histograms and line plots.Compare a line plot and histogram for the same set of data.

Material Type: Lesson Plan

6.SP4, 5c Puzzle Times

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: Each of the 20 students in Mr. Anderson's class timed how long it took them to solve a puzzle. Their times (in minutes) are listed below: Student123456...

Material Type: Activity/Lab

Author: Illustrative Mathematics

Slope and Equations of Lines through Points

Algebra students need practice determining equations of lines given a pair of points, or the line parallel or perpendicular to a given line through a given point. This Demonstration, along with guiding worksheets or a teacher presentation, gives students a chance to see the relationships between these lines and points.

Material Type: Activity/Lab, Diagram/Illustration, Homework/Assignment, Interactive, Simulation, Teaching/Learning Strategy

Author: Tom Falcone

Was Galileo Right?

Investigate the effect of gravity on objects of various mass during free fall. Predict what the position-time and velocity-time graphs will look like. Compare graphs for light and heavy objects.

Material Type: Activity/Lab

Author: Concord Consortium

Measuring Human Rights: High School Mathematics Unit

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.

Material Type: Assessment, Lesson Plan

Author: Tamar Posner

Who Has the Best Job?

In this real world word problem students must graph linear equations.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Developing a Sense of Scale

This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

Material Type: Assessment, Lesson Plan

Beginning Algebra

Real Numbers

Material Type: Lesson Plan, Student Guide, Teaching/Learning Strategy