Computation of Integers:
Math Intervention for Elementary and Middle Grades Students
Introduction
Why Integers?
Overview
Description of Manipulatives
Digit
Tens
Group
Divisor line
Equals sign
Positive or Plus Symbol
Negative or Minus Symbol
Multiplication Symbol
Organization of Materials
Who Can Use This intervention?
How to Use This Intervention
Pretest Assessment
Initial Advance Organizer Lesson
Instructional Lessons
Posttest Assessment
Answer Key
Lesson Format for Introducing Signed Numbers to Students Preparing for Algebra
General Introductory Lesson to Negative Numbers
Student Lesson # 1–Concrete: Adding and Subtracting with Signs Using 0 and 1
Teaching Lesson # 1–Concrete: Adding and Subtracting with Signs Using 0 and 1
Student Lesson # 2–Concrete: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 2–Concrete: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 3–Representational: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 3–Representational: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 4–Abstract: Adding and Subtracting with Signs Using 0 through 5
Teaching Lesson # 4–Abstract: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 5–Abstract: Adding and Subtracting Proficiently with Signs Using 0 through 5
Teaching Lesson # 5–Abstract: Adding and Subtracting with Signs Using 0 through 5
Student Lesson # 6–Concrete: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 6–Concrete: Adding with Mixed Signs Using 0 and 5
Student Lesson # 7–Representational: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 7–Representational: Adding with Mixed Signs Using 0 through
Student Lesson # 8–Abstract: Adding with Mixed Signs Using 0 through 5
Teaching Lesson # 8–Abstract: Adding with Mixed Signs Using 0 through 5
Student Lesson # 9–Abstract: Adding Proficiently with Mixed Signs Using 0 through 5
Teaching Lesson # 9–Abstract: Adding Proficiently with Mixed Signs Using 0 through 5
Student Lesson # 10–Abstract: Cumulative Review
Teaching Lesson # 10–Abstract: Cumulative Review
Student Lesson # 11–Concrete: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 11–Concrete: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 12–Representational: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 12–Representational: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 13–Abstract: Adding and Subtracting with Mixed Signs Using 0 through 9
Teaching Lesson # 13–Abstract: Adding and Subtracting with Mixed Signs Using 0 through 9
Student Lesson # 14–Abstract: Adding and Subtracting Proficiently with Mixed Signs Using 0 through 9
Teaching Lesson # 14–Abstract: Adding and Subtracting Proficiently with Mixed Signs Using 0 through 9
Student Lesson # 15–Abstract: Cumulative Review
Teaching Lesson # 15–Abstract: Cumulative Review
Student Lesson # 16–Concrete: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 16–Concrete: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 17–Representational: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 17–Representational: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 18–Abstract: Multiplying with Mixed Signs Using 1 through 9
Teaching Lesson # 18–Abstract: Multiplying with Mixed Signs Using 1 through 9
Student Lesson # 19–Abstract: Multiplying Proficiently with Mixed Signs Using 1 through 9
Teaching Lesson # 19–Abstract: Multiplying Proficiently with Mixed Signs Using 1through 9
Student Lesson # 20–Abstract: Cumulative Review
Teaching lesson # 20–Abstract: Cumulative Review
Student Lesson # 21–Concrete: Division with Mixed Signs
Teaching Lesson # 21–Concrete: Division with Mixed Signs
Student Lesson # 22–Representational: Dividing with Mixed Signs
Teaching Lesson # 22–Representational: Dividing with Mixed Signs
Student Lesson # 23–Abstract: Division with Mixed Signs
Teaching Lesson # 23–Abstract: Dividing with Mixed Signs
Student Lesson # 24–Abstract: Dividing Proficiently with Mixed Signs
Teaching Lesson # 24–Abstract: Dividing Proficiently with Mixed Signs
Student Lesson # 25–Abstract: Cumulative Review
Teaching Lesson # 25–Abstract: Cumulative Review
Answer Key
References