Rational-Number Content for Intensive Intervention
Rational-Number Content for Intensive Intervention
Intensive Intervention in Mathematics Course: Module 7 Overview
In Modules 4 and 5, we emphasized important instructional delivery methods and strategies to include when providing instruction within intensive intervention. Modules 6 and 7 focus on important concepts and procedures for whole numbers (Module 6) and rational numbers (Module 7) teachers may find important for being able to explain mathematics to students. In Module 7, we focus on rational number concepts and computation. In this module, educators will learn about:
- Different models to explain fraction and decimal concepts
- How to explain computation with fractions and decimals in a conceptual way
- How effective rational-number instruction looks within intensive intervention
This module is divided into three parts, with an introduction and closing. A 508 compliant version of the full PowerPoint presentation across all parts of the module is available below.
Complete Slide Deck (508 compliant)
For questions related to course content, please contact ncii@air.org
Introduction
This video introduces Module 7 and provides an overview of the module content and related activities.
Related Videos
Part 1: What rational-number core concepts should be emphasized in intensive intervention?
Part 1 explains the concepts of fractions and decimals. Teachers learn to use the length, area, and set models to explain fractions. Teachers also learn how decimals and percentages relate to fractions.
Worksheets & Activities
Activity 1 - Using the Length Model with a Student
Activity 2 - Using the Area Model with a Student
Activity 3 - Using the Set Model with a Student
Discussion Board – Favorite Fraction Tools
Part 2: What rational-number procedures should be emphasized in intensive intervention?
Part 2 reviews addition, subtraction, multiplication, and division with fractions and decimals. Teachers learn how to model finding common denominators. We also review how to explain fraction computation conceptually. We conclude with a brief example of using concrete manipulatives to demonstrate computation with decimals.
Worksheets & Activities
Activity 4 - Modeling Addition and Subtraction of Fractions
Activity 5 - Modeling Multiplication and Division of Fractions
Activity 6 - Using CRA to Teach Decimals
Discussion Board – Application to Ratio and Proportion Problems
Part 3: What does DBI look like with intensive interventions that focus on conceptual and procedural understanding of rational numbers?
Part 3 provides video and intervention examples of intensive intervention on rational-number content. Teachers review several videos to see how teachers use explicit instruction, multiple representations, and concise language to teach about rational numbers. Teachers also read an excerpt from an evidence-based intervention focused on rational numbers to identify how instructional delivery (Module 4) and strategies (Module 5) work together within intensive intervention.
Worksheets & Activities
Activity 7 - Identify and Analyze Components of an Intervention Lesson on Fractions
Discussion Board – Teaching Fractions, Decimals, or Percentages
Related Videos
Closing: What are the next steps?
The closing video reviews the content covered in the module and concludes with a classroom application activity.
Worksheets & Activities
Classroom Application: Modeling Rational Number Concepts and Procedures
Related Videos
Coaching Materials and Facilitation Guide
"Coaching/Facilitator Guide" helps facilitate implementation, reflection, and feedback. It is intended for use by external (i.e., SEA or LEA staff, faculty, project-based coaches) or internal (i.e., school-based instructional coaches) coaches working directly with in-service educators who are learning and practicing the course content. Additionally, materials within the coaching/facilitator guide can be adapted by faculty as they prepare pre-service educators. The goal for coaching/facilitation is to ensure that educators are practicing the content they are learning and receiving feedback to improve their instruction. Included in this guide are: (a) sample communication emails, (b) a master checklist, (c) a discussion guide with important talking points, and (d) a fidelity form that can be completed by a coach/facilitator when observing classroom instruction.
