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Algebraic Reasoning for IMRA 2024

In 2017, we debuted the Algebraic Reasoning textbook, authored by Paul Gray, Jr., Jacqueline Weilmuenster, and Jennifer Hylemon, as a full curriculum resource for the high school course, Algebraic Reasoning.

To learn more about the version that was adopted by the Texas State Board of Education under Proclamation 2017, please click here.

For IMRA 2024, we created a full curriculum to support the high school Algebraic Reasoning course. These new resources are comprehensive, 100% TEKS-aligned curriculum designed for powerful student learning. Approved by the Texas State Board of Education as High-Quality Instructional Materials under the IMRA 2024 cycle, this curriculum introduces a student-based learning management system where students may log in and directly access instructional materials.

What’s New in the IMRA 2024 version of Algebraic Reasoning?

Primarily, the IMRA 2024 version introduces direct digital access to instructional materials for students. We have partnered with Magic Software to provide both teacher and student logins to digital curriculum resources.

Digital Only

Teacher course, student course, Algebraic Reasoning student and teacher edition, Algebra 1 TEKS Companion Guide

Digital with Full Print Components

Digital: Teacher course, student course

Digital with Print: Algebraic Reasoning student edition and teacher edition, Algebra 1 TEKS Companion Guide

Digital with Print Algebraic Reasoning student edition only

Digital: Teacher course, student course, Algebraic Reasoning teacher edition, Algebra 1 TEKS Companion Guide

Digital with Print: Algebraic Reasoning student edition

Digital with Print Algebra 1 TEKS Companion Guide only

Digital: Teacher course, student course, Algebraic Reasoning student and teacher editions

Digital with Print: Algebra 1 TEKS Companion Guide

Algebraic Reasoning Course Components

The IMRA 2024 version contains multiple components that teachers may use with their students in order to teach the content in the course.

Algebraic Reasoning Teacher Course

Organized in units and lessons by flow of function families, the AR Teacher Course provides advice for instruction alongside lesson components that the teacher may use to facilitate instruction for the course.

Algebraic Reasoning Student Course

Organized in units and lessons exactly like the AR Teacher Course, the AR Student Course allows teachers to unlock the lesson components when they are ready for student viewing and use.

Algebraic Reasoning Teacher Wraparound Edition

An interactive digital (ePub) version of the AR TWE, teachers may view the teacher edition that contains answers and support for instruction regarding technology, differentiation, and emergent bilinguals. We provide additional examples in the wraparound margin.

Algebraic Reasoning Student Edition

An interactive digital (ePub) version of the AR Student Edition, students may view the content and respond to the You Try It! questions and answer the practice/homework problems online.

Algebra 1 TEKS Companion Guide

An interactive digital (ePub) version of the Algebra 1 TEKS Companion Guide provides direct instruction for Algebra 1 content that supports Algebraic Reasoning course content. Individual lessons are provided in the lessons when students need them in the AR Teacher Course and Student Course.

How Does the IMRA 2024 Version Compare to the Proclamation 2017 Version?

Proclamation 2017

Components

  • Student Edition available in Print or Digital media (downloadable PDF)
  • Teacher Wraparound Edition available in Print medium
  • Online teacher access to ancillary materials, including additional question bank, tests, PowerPoint slides with the Example problems, and video solutions to You Try It! problems and Explain sections.
  • Algebra 1 TEKS Companion Guide available for additional purchase to support students.

Book is organized by TEKS cluster

IMRA 2024

Components

  • Student Edition available in Print or online interactive media
  • Teacher Wraparound Edition available in Print or online (ePub) media
  • Online teacher access to ancillary materials, including additional question bank, tests, PowerPoint slides with the Example problems, and video solutions to You Try It! problems and Explain sections.
  • Teacher course contains robust, high-quality guidance for teaching the course.
  • Student course enables students to access materials online when the teacher unlocks them.
  • Algebra 1 TEKS Companion Guide included with Algebraic Reasoning resources.

Course is organized by function family, beginning with Algebra 1 functions (linear, quadratic, exponential), and then Algebra 2 functions (cubic, square root, cube root, logarithmic, absolute value, rational).

How is the Algebraic Reasoning Teacher Course Structured?

When schools began implementing the course in 2017, we received a lot of feedback about course sequencing. We studied different sequences alongside district leaders and teachers and took a lot of their feedback into account when planning the IMRA 2024 version of the course. Thus, the teacher course follows what has become a prevailing sequence of focusing on the Algebra 1 function families in the fall semester (linear, quadratic, and exponential) then addressing Algebra 2 function families in the late fall and spring semester (cubic, square root, cube root, logarithmic, absolute value, and rational functions).

First Semester

  • Unit 1: Function Patterns
  • Unit 2: Linear Functions
  • Unit 3: Linear Function Operations
  • Unit 4: Quadratic Functions
  • Unit 5: Exponential Functions
  • Unit 6: Cubic Functions

Second Semester

  • Unit 7: Polynomial Function Operations
  • Unit 8: Inverse Functions
  • Unit 9: Radical Functions and Logarithmic Functions
  • Unit 10: Absolute Value Functions and Rational Functions
  • Unit 11: Function Operations
  • Unit 12: Matrices and Matrix Operations

View the IMRA 2024 Algebraic Reasoning Scope and Sequence.


What Does a Lesson in the Teacher Course Look Like?

The left-hand navigation panel shows the lessons within each unit. Clicking on a lesson title expands its components, as shown in the image at left:

  • Sections from the TWE and SE that pertain to the content in this lesson.
  • Detailed instructions for each phase of the 5E instructional model

Each lesson is set up to follow the 5E instructional model for concept attainment in order to build skills proficiency with conceptual understanding. Use the slider below to see how. Mouse over the image to pause the rotation and use the arrows to navigate back and forth.


    What Opportunities for Student Practice Are Included?

    You Try It! problems present an opportunity for students to check their understanding by working a problem that mirrors the example they just worked through with the teacher or with their peers. We provide video solutions for You Try It! problems so that students may check their work or view alternative solution strategies.

    Each section of the ePub culminates in a Practice/Homework section with 20-30 practice problems related to the content from the section of the ePub.

    Mid-chapter and end-of-chapter reviews are provided in the ePub of the textbook. As well, in the teacher course, mid-unit and end-of-unit problems are provided.

    Teachers have access to an editable bank of questions they may use to customize students’ opportunities for additional practice.

    The margin of the TWE contains additional examples for teachers to use during instruction as needed.

    View a Sample Lesson

    View Sample Lessons

    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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