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Algebraic Reasoning – Algebra 1 Companion Guide

About 80 school districts in Texas implemented the Algebraic Reasoning course in the 2016-17 school year and used our textbook as a preadoption resource. The AR development team at Cosenza & Associates, LLC, received invaluable feedback from teachers and math leaders in those districts!

One of the comments we heard from teachers around the state was that even though Algebra 1 is a required prerequisite for Algebraic Reasoning, many students still need help with Algebra 1 skills. As well, many students who are enrolled in Algebraic Reasoning courses are studying to retake the Algebra 1 End-of-Course (EOC) exam as a part of their graduation requirements.

To that end, we got to work.

TEKS Companion Guides are available for Grades 3-8 and Algebra 1!

Algebra 1 Companion Guide

We developed the Algebra 1 Companion Guide to accompany the Algebraic Reasoning textbook. The guide is available exclusively in print and is an interactive consumable student guide. The order in which the mini-lessons appear complements the progression in the Algebraic Reasoning textbook. However, this guide could be used for any EOC preparation program.

Mini-lessons focus on the Algebra 1 TEKS. There is a mini-lesson and set of practice problems designed around a compact instructional plan with three components.

sample pages

  • The Tell Me More section contains a brief summary of the key ideas, concepts, and skills that are addressed in the target Algebra 1 TEKS for that mini-lesson.
  • Stepped-out Examples show students how to solve a problem that is based on the target Algebra 1 TEKS. Example problems address the multiple components (and multiple representations) contained in each TEKS/SE.
  • Practice problems consist of a blend of constructed response and multiple choice questions that use the language students may expect to see on the Algebra 1 End-of-Course test. When possible, practice problems use griddable response questions so that students obtain practice using the grid that they will see on the Algebra 1 End-of-Course test.

How Were the Mini-Lessons Created?

Every Algebra 1 TEKS/SE is addressed in the Algebra 1 Companion Guide. For some lessons, it is appropriate to bundle a few TEKS/SE’s together, as in the case of A.2E, A.2F, and A.2G, all of which address writing equations of parallel or perpendicular lines.

Bundling of Algebra 1 TEKS A.2E, A.2F, and A.2G

In other cases, one TEKS/SE or a pairing of TEKS/SE’s needs multiple lessons. For example, A.2B and A.2C pair nicely together and address writing linear equations from a graph, table of values, or verbal description. However, that pairing is too long for one mini-lesson, so the development team split the A.2B/A.2C pairing into two mini-lessons: one for writing equations from a verbal description and one for writing equations from a graph or table of values.

Bundling of Algebra 1 TEKS A.2B and A.2C

Teacher Manual

The Algebra 1 Companion Guide teacher manual contains an answer key as well as advice for how to use different features of the interactive student companion. The manual provides explanations connecting the Algebra 1 content to the information in the corresponding section of the Algebraic Reasoning textbook.

Pricing

The Guide, an interactive paperback consumable student edition, is sold individually with a minimum order of 20 student books. Pricing includes built-in volume discounts. One teacher manual is included for every 30 books purchased at no additional cost. ISBN: 978-0-9972265-7-7

  • 20-30 student books are $20.99 each
  • 31-60 student books are $17.99 each
  • 61 or more student books are $14.99 each

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Mini-Lesson Samples

View and download samples of the Algebra 1 Companion Guide mini-lessons! To open these in a new browser window or tab, please right-click and select Open Link in New Tab (Mac: Press COMMAND and click).

TEKSSample Document
Grade 3
3.3H: Comparing FractionsView Sample
Grade 4
4.7ABC: Measuring AnglesView Sample
Grade 5
5.3H: Adding and Subtracting FractionsView Sample
Grade 6
6.4E: Ratios and PercentsView Sample
Grade 7
7.4D: Solving Problems with PercentsView Sample
Grade 8
8.4A: Slope as Unit RateView Sample
8.8C: Solving One-Variable EquationsView Sample
Algebra 1
A.3C: Key Features of Linear FunctionsView Sample
A.10B: Multiplying PolynomialsView Sample
Algebra 1 Errata SheetView Errata Sheet

About Cosenza & Associates

Cosenza & Associates, LLC, is based in Dallas, Texas, but we provide consulting services nationwide.
  • Instructional resources for K-12 mathematics
  • Curriculum-instruction-assessment design and alignment
  • Professional support for classrooms, schools, and districts
  • Professional development for Texas Gifted and Talented 30-hour and 6-hour update requirements

Learning List Reviews

Mission Math K12 (formerly known as STAAR Mission: Mathematics Success), by Cosenza & Associates, LLC, has been reviewed by Learning List! Read more about the featured review on the Learning List blog.

Cosenza and Associates's "Algebraic Reasoning" textbook has been reviewed by Learning List! Read more about the featured review on the Learning List blog.

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