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Bridges in Mathematics

Bridges in Mathematics

A clearly articulated PK-5 curriculum offering a unique blend of problem solving and skill building

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Bridges Intervention

Bridges Intervention

An elementary intervention program using visual models to promote student thinking and accelerate learning

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Number Corner

Number Corner

An essential component of Bridges in Mathematics that can also be used to complement any K–5 curriculum

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Bridges Breakout: Number Rack

Bridges Breakout: Number Rack

Helps students learn addition and subtraction math facts using the number rack

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Free lessons and publications

A collection of materials that support our mission to inspire and enable individuals to discover and develop their mathematical confidence and ability

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Based on the visual models featured in Bridges in Mathematics, a collection of powerful learning tools that support any curriculum.

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The Math Learning Center is committed to helping educators improve math education, and offers a wide range of programs, materials, and resources.

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Practice Books, Grades K–5

Bridges Practice Books provide activities and worksheets for additional skill review, informal paper-and-pencil assessment, preparation for standardized testing, and differentiated instruction. Each volume also includes answer keys and a complete listing of the student pages grouped by skill. Although originally written to complement Bridges in Mathematics First Edition, these books may be used with any math program. Note: These materials were developed prior to the publication of the Common Core State Standards. While the content retains its educational value, the grade level alignment may have shifted for some lessons and activities.

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Bridges Kindergarten Practice Book, 1st Edition

Grade level: k.

Numbers to 30, comparing and ordering sets, skip counting, early addition and subtraction, story problems.

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Bridges Grade 1 Practice Book, 1st Edition

Grade level: 1.

Numbers to 100 and beyond, number patterns, place value, facts to 10, money, time, graphing, and problem solving.

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Bridges Grade 2 Practice Book, 1st Edition

Grade level: 2.

Numbers to 1,000, skip counting and number patterns, facts to 18, place value, double-digit computation, money, time, and problem solving.

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Bridges Grade 3 Practice Book, 1st Edition

Grade level: 3.

Numbers to 10,000, multi-digit addition and subtraction, multiplication and division concepts, fractions, equations, perimeter, time, money, and problem solving.

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Bridges Grade 4 Practice Book, 1st Edition

Grade level: 4.

Multiplication and division facts, multi-digit addition, subtraction and multiplication, fractions and decimals, patterns and equations, area and perimeter, data analysis, and problem solving.

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Bridges Grade 5 Practice Book, 1st Edition

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enVision Math 2.0 Gr. K-5

enVision math 2.0 is a comprehensive mathematics curriculum for Grades K-5. It offers the flexibility of print, digital, or blended instruction. enVision math 2.0 provides the focus, coherence, and rigor needed to meet your standards. Project-based learning, visual learning strategies, and extensive customization options empower every teacher and student.

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Interactive Science Gr. K-5

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myWorld Social Studies Gr. K-5

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Interactive MUSIC Gr. PreK-8

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Words Their Way

Words Their Way Gr. K-5

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Effective Practices for Homework

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Homework has four basic purposes:

Of these purposes, the most valuable in producing measurable academic gains is practice for the purpose of building proficiency, maintaining mastery or both. This is not to say that the other purposes lack legitimacy. However, in existing studies, it is evident that when homework is used to build fluency and maintain proficiency, student performance is most positively affected.

Practice can be provided via homework in two ways, single-skill or cumulative . Single-skill assignments are appropriate when students are mastering the taught skill itself; cumulative assignments are valuable when students are learning to determine which skill to use and then applying it. The example about teaching a math algorithm is a single-skill format. If the assigned homework included the newly learned algorithm along with some previously learned skill, it would be considered cumulative. Cumulative practice is critical for skill maintenance and is included in any model of effective teaching practices. Skill maintenance is especially difficult for students with LD.

A critical idea here is that the student must have demonstrated competence in the skill being practiced before being asked to do it independently (i.e., as homework). Research indicates students should be able to perform a skill at 90% accuracy before it should be assigned as homework for independent practice.

Homework facts

Researchers have examined homework in many different ways. In addition to assessing what homework practices are beneficial, they have been able to describe how and when homework is assigned. Here are some important facts about homework that one can learn from the research literature.

Practices that are less effective

Historically, individualization has been integral to effective education for students with Learning Disabilities. However, homework has been neglected as an area warranting individualization, especially for students served in inclusive settings. Studies show general education teachers and students accept modifications for students with Learning Disabilities for many areas of instruction (e.g., testing modifications), but when it comes to homework, they are less accepting of individualization.

However, the result of not individualizing homework can be devastating. Indeed, if students are assigned a task they are unable to complete independently or that takes them inordinate amounts of time to complete, the probability of their attempting the task is greatly reduced and they run the risk of practicing errors with serious consequences. Therefore, not individualizing homework is not an effective practice. Other ineffective practices are listed in the table below.

Practices that are more effective

Research has also provided direction about some practices that are especially beneficial. Teachers of students with Learning Disabilities probably should employ these practices, as they are likely both to help the student acquire the content or skills being learned as well as help students to complete homework in the future. For teachers collaborating with colleagues in general education settings, these are practices that probably should be promoted. Effective homework practices are listed in the table below.

There are over 500 articles and books on the topic of homework but only a few are actual research studies. In the area of LD there are fewer than a dozen. This guide presents a compilation of the implications for practice from those studies. Based upon this research there are three big ideas to remember when using homework:

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Bryan, T., Nelson, C., & Mathur, S. (1995). Homework: A survey of primary students in regular, resource, and self-contained special education classrooms. Learning Disabilities Research & Practice, 10 , 85-90.

Cooper, H. (1989). Synthesis of research on homework. Educational Leadership, 47 , 85 91.

Cooper, H., & Nye, B. (1994). Homework for students with learning disabilities: The implications of research for policy and practice. Journal of Learning Disabilities, 27 , 470-479.

Epstein, M. H., Polloway, E. A., Foley, R. M., & Patton, J. R. (1993). Homework: A comparison of teachers' and parents' perceptions of the problems experienced by students identified as having behavioral disorders, learning disabilities, or no disabilities. Remedial and Special Education, 14( 5), 40-50.

Hughes, C. A., Ruhl, K. L., Schumaker, J. B., & Deshler, D. D. (2002). Effects of instruction in an assignment completion strategy on the homework performance of students with learning disabilities in general education classes. Learning Disabilities Research and Practice, 17 , 1-18.

Hughes, C. A., Ruhl, K. L., Schumaker, J. B., & Deshler, D. D. (1995). The assignment completion strategy. Lawrence, KS: EDGE Enterprises.

Hughes, C. A., Ruhl, K. L., Rademacher, J. A., Schumaker, J. B., & Deshler, D. D. (1995). Quality quest planner. Lawrence, KS: Edge Enterprises.

Hughes, C. A., Maccini, P., & Gagnon, J. C. (2003). Interventions that positively impact the performance of students with learning disabilities in secondary general education classrooms. Learning Disabilities: A Multidisciplinary Journal, 12 (3), 32-44.

Lenz, B. K., Ehren, B. J., & Smiley, L. R. (1991). A goal attainment approach to improve completion of project type assignments by adolescents with learning disabilities. Learning Disabilities Research and Practice, 6 , 166-176.

O'Melia, M. C., & Rosenberg, M. S. (1994). Effects of cooperative homework teams on the acquisition of mathematics skills by secondary students with mild disabilities. Exceptional Children, 60, 538-548.

Otto, W. (1985). Homework: A meta-analysis. Journal of Reading, 28 , 764-766.

Paschal, A., Weinstein, R., & Walberg, H. (1984). The effects of homework on learning: A quantitative synthesis. Journal of Educational Research, 78 , 97-104.

Polloway, E. A., Foley, R. M., & Epstein, M. H. (1992). A comparison of the homework problems of students with learning disabilities and nonhandicapped students. Learning Disabilities Research and Practice, 7 , 203-209.

Putnam, M. L., Deshler, D. D., & Schumaker, J. B. (1993). The investigation of setting demands: A missing link in learning strategy instruction. In L. Meltzer (Ed.), Strategy assessment and instruction for students with learning disabilities: From theory to practice (pp. 325-354). Austin, TX: PRO-ED.

Rademacher, J. A., Deshler, D. D., Schumaker, J. B., & Lenz, B. K. (1998). The quality assignment routine. Lawrence, KS: Edge Enterprises, Inc.

Rademacher, J. A., Schumaker, J. B., & Deshler, D. D. (1996). Development and validation of a classroom assignment routine for inclusive settings. Learning Disability Quarterly, 19 , 163-178.

Rosenberg, M. S. (1989). The effects of daily homework assignments on the acquisition of basic skills by students with learning disabilities. Journal of Learning Disabilities, 22 , 314-322.

Sah, A., & Borland, J. H. (1989). The effects of a structured home plan on the home school behaviors of gifted learning-disabled students with deficits in organizational skills. Roeper Review, 12 , 54-57.

Salend, S. J., & Gajria, M. (1995). Increasing the homework completion rates of students with mild disabilities. Remedial and Special Education, 16 , 271-278.

Salend, S. J., & Schliff, J. (1989). An examination of the homework practices of teachers of students with learning disabilities. Journal of Learning Disabilities, 22 , 621-623.

Trammel, D. L., Schloss, P. J., & Alper, S. (1994). Using self-recording , evaluation, and graphing to increase completion of homework assignments. Journal of Learning Disabilities, 27 , 75-81.

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Homework & Practice

Aktiv Chemistry is a comprehensive online homework platform that helps students build mastery of chemistry. Take advantage of over 15,000 built-in chemistry problems, scaffolded practice, a powerful instructor dashboard, LMS grade syncing, and much more.

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Building engaging classroom activities has never been easier. Aktiv Chemistry provides an extensive library of questions for chemistry courses such as General Chemistry, Introductory Chemistry, GOB Chemistry, Organic Chemistry. The content library includes discipline-specific problem types such as molecule drawing, chemical equations and naming, dimensional analysis, numerical entry, and more.

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Draw the Lewis structure of (CHO)OCH₃ and then choose the appropriate set of molecular geometries of the three central atoms. Your answer choice is independent of the orientation of your drawn structure.

The solubility of He in water at 25.0 °C is 7.0 × 10⁻⁵ M when the partial pressure of He is 0.20 atm. What is the value of the Henry's law constant for He ?

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According to the balanced reaction below, calculate the moles of NH₃ that form when 4.2 mol of N₂H₄ completely reacts 3 N₂H₄(l) → 4 NH₃(g) + N₂(g)

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5 Books on Homework (and Helping with Homework!)

Homework for Grownups

The Berenstain Bears and the Homework Hassle

The Berenstain Bears and the Homework Hassle

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Stan Berenstain , Jan Berenstain

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The Berenstain Bears and the Homework Hassle ,  by Stan and Jan Berenstain In this classic Berenstain Bear book, even grizzlies have homework hassles! This is a perfect bedtime read to share after you’ve finished your homework for the day. This book is especially good for anyone who doesn’t want to do their homework like Brother bear (ie all of us at one time or another), and it’s a much needed reminder of why it’s better to take responsibility and get the job done.

Homework for Grown-ups: Everything You Learned at School and Promptly Forgot

Homework for Grown-ups: Everything You Learned at School and Promptly Forgot

Hardcover $19.99

E. Foley , B. Coates

Homework for Grownups: Everything You Learned at School and Promptly Forgot ,  by E. Foley and B. Coates Sometimes I can’t remember where I put my keys, so there’s no way I’m remembering half of what I learned in school. This book is a great resource for any parent who needs a refresher in math, English, science, history, or any other subject you haven’t had to dust off in the last few years. So the next time your child asks you what an isosceles triangle is, you’ll be able to answer with confidence! And with each chapter ending in a quiz, you’ll really feel like you’re back in the classroom!

Peanut Butter and Homework Sandwiches

Peanut Butter and Homework Sandwiches

Hardcover $15.91 $16.99

Lisa Broadie Cook , Jack E. Davis

Peanut Butter and Homework Sandwiches ,  by Lisa Broadie Cook You’ve probably heard the centuries-old excuse, “the dog ate my homework,” knowing that it was just another way of saying “oops I forgot to do my homework!” But in this cute picture book, that actually happened to poor Martin MacGregor! If your kid is having a hard week at school, or feeling unprepared for class, this is a good book to pick up to show how down-and-out Martin manages to turn everything around!

The Parent Backpack for Kindergarten through Grade 5: How to Support Your Child's Education, End Homework Meltdowns, and Build Parent-Teacher Connections

The Parent Backpack for Kindergarten through Grade 5: How to Support Your Child's Education, End Homework Meltdowns, and Build Parent-Teacher Connections

Paperback $15.99

The Parent Backpack for Kindergarten through Grade 5: How to Support Your Child’s Education, End Homework Meltdowns, and Build Parent-Teacher Connections ,  by ML Nichols Learn practical how-to strategies for helping with your child’s homework and put a stop to homework-induced meltdowns in the process. This all-encompassing book goes way beyond just how to handle homework. It’s written by the head of a parent education group, so you’ll also get great tips on everything from emailing your child’s teacher to how to deal with bullying. Basically everything an elementary school parent needs to know!

Please Help Me With My Homework - English

Please Help Me With My Homework - English

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Susan Gingras Fitzell M.Ed

Please Help Me With My Homework: Strategies for Parents and Caregivers ,  by Susan Fitzell Doing homework can actually be fun?! Well Susan Fitzell thinks so, and she wrote a book to prove it! What parent or caregiver couldn’t use a few more strategies for helping with homework? This uber-informative book provides great strategies as well as a ton of other tools and exercises to discover exactly how your child tackles homework best. What books about homework and helping with homework do you recommend?

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The student book provides an opportunity for children to record their learning, practice, reinforce and apply key mathematics concepts. The illustrations and contexts are designed to engage the primary student.

Now available on CD, for use with digital presentation tools. It is also available on the Big Math Book CD.

This visually appealing and engaging resource is for selected lessons in each unit it provides a whole-class focus for shared experiences and activities.

It is available in three formats:

This Teacher's Guide and CD-ROM contain comprehensive teaching, planning and assessment notes for every lesson correlated to your curriculum. The modular format keeps all of your blackline masters in one place. It contains practical strategies for building a community of learners in your classroom.

The student book provides an opportunity for children to record their learning, practice, reinforce and apply key mathematics concepts. The illustrations and contexts are designed to engage the primary student. Also available on CD, in projectable or printable/projectable versions. See the Big Math Book for package options.

This visually appealing and engaging resource is for selected lessons in each unit it provides a whole-class focus for shared experiences and activities. It is available in three formats:

Unit Topics at this level are:

Available in two formats:

Practice / Homework Book

This practice and homework book, available in a consumable or reproducible (blackline master) format, provides 2 pages of exercises for each lesson in the student text. A 'Quick Review' supports students who need additional reinforcement. Questions are carefully scaffolded to build student confidence.

Teacher Edition also available.

This practice and homework book, available in a consumable or reproducible (blackline master) format, provides 2 pages of exercises for each lesson in the student text. A 'Quick Review' supports students who need additional reinforcement. Questions are carefully scaffolded to build student confidence. Teacher's Edition also available.

This ProGuide offers in print and electronic format (DVD and CD-ROM):

Within the unit module, each lesson is supported with complete teaching notes and assessment support. Unique to the ProGuide DVD are interviews with leading educators discussing the 'Big Ideas' in mathematics as well as providing background information in 'Unit Talks'. Authentic classroom video modeling lessons that use 'problem-based' learning, will provide teachers with a professional learning experience seldom seen before.

The DVD can be used with 'whiteboard' technology to support whole class instruction because the student text pages are provided in electronic format.

Unit Topics at this grade are:

This full-colour student book features a problem based approach to learning mathematics, a consistent lesson model, fully integrated practice, cumulative reviews, investigations, unit problems, strategies toolkits, games and more. Available in two formats:

Teacher's Edition also available.

Practice/Homework Book

Offers a balance of review and extra practice to reinforce key skills for each lesson in the student text. In addition there are engaging puzzles and games, activating prior knowledge exercises, and literacy activities for each unit in the student text. Teacher Edition also available.

Math Learn EveryWare Package (print and e-book)

Developed in partnership with the Alberta Distributed Learning Branch

This package combines the student book with an e-version of the Pearson Math Makes Sense 7 WNCP Edition student book, which contains additional interactive content to provide a flexible and versatile resource for use with a computer, LCD project, or interactive whiteboard.

By linking images of the student text to multimedia elements, Learn EveryWare supports distributed learning and individually-paced instruction in the following environments:

Try the demo today !

For school and district licenses, please contact Customer Service at 1-800-361-6128.

This ProGuide offers in print and electronic format (DVD and CD-ROM) Mathematics Background for the unit, Curriculum Overview, Planning for Instruction, Planning for Assessment, suggestions for additional activities, and a comprehensive set of editable blackline masters. Within the unit module, each lesson is supported with complete teaching notes and assessment support. Unique to the ProGuide DVD are interviews with leading educators discussing the 'Big Ideas' in mathematics as well as providing background information in 'Unit Talks'. Authentic classroom video modeling lessons that use 'problem-based' learning, will provide teachers with a professional learning experience seldom seen before. The DVD can be used with 'whiteboard' technology to support whole class instruction because the student text pages are provided in electronic format.

ExamView Extra Practice and Test Generator CD-ROM

Using ExamViewTM technology, you can create custom pretests, chapter, unit, and end-of-year tests, plus practice worksheets and study guides. Access and edit from a large question bank featuring multiple-choice, short answer, true/false questions, and more.

By Grade 9, students are developing greater independence as learners and will find more examples, practice and other supports for working on their own.

In addition to lesson supports, students will find features in the text that promote their development from a coached learner to a self-sufficient learner.

NEW! The  French translation of the Grade 9 Student Edition is now available for order!

At this level, the student text matures in appearance and offers students practical aids that support increased independent use of the book and greater ownership of learning.

Preparation and Practice Book

This resource provides a scaffolded approach to support students who need additional reinforcement for key methods.

These Together resources provide practical suggestions for planning and teaching combined grades. Background Notes outline three general lesson approaches and specific unit suggestions identify a day-to-day unit plan with:

Download a preview sampler of a combined Grades 3 & 4 Lesson Plan:

practice homework book

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