Course 2 Online!
Henrico County Public Schools, Virginia
7.3a - Modeling Integer Operations
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Computation and Estimation
Focus: Integer Operations and Proportional Reasoning


The student will
a)   model addition, subtraction, multiplication, and division of integers. 
Essential Knowledge and Skills 
  • Model addition, subtraction, multiplication and division of integers using pictorial representations of concrete manipulatives.
Essential Understandings
  • The sums, differences, products and quotients of integers are either positive, zero, or negative. How can this be demonstrated? This can be demonstrated through the use of patterns and models.
Vertical Articulation
  • SOL 5.18c - model one-step linear equations using addition/subtraction
  • SOL 6.3abc - a) identify/represent integers; b) order/compare integers; c) identify/describe absolute value of integers
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Integers: Addition and Subtraction (PDF) - Modeling addition, subtraction, multiplication, and division of integers (Word)
  2. Virtual Manipulatives: Glencoe - select options from the menus
  3. Notes: Modeling Addition and Subtraction of Integers (flipchart)
  4. Notes: Modeling Addition and Subtraction of Integers (ppt)
  5. Notes: Modeling Subtraction of Integers with Counters (flipchart)
  6. Notes: Modeling Subtraction of Integers (flipchart)
  7. Notes: Modeling Multiplication of Integers (ppt)
  8. Notes: Modeling Multiplication and Division of Integers with Counters (flipchart)
  9. Guided Notes: Integers & Human Number Line (doc)
  10. Notes: Adding Integers with Number Line and Rules (doc)
  11. Activity: Integer Football (pdf)
  12. Teacher Notes: Real World Modeling Suggestions (doc)
  13. VDOE Algebra Readiness Curriculum Companion: Working with Integers (pdf)
Real World Lessons
Practice
  1. Worksheet: Modeling Addition (doc)
  2. Worksheet: Modeling Integer Operations (doc)
  3. Worksheet: Modeling Subtraction on a Number Line (doc)
SOL Mini Quiz
  1. SOL 7.3a Mini Quiz: Modeling Integers (pdf) | (doc)
Skills
  1. Mathematics Assessment Project: E07:Skeleton Tower - Expert - A tower is made of cubes stacked in a particular way. In this task, you must work out a rule for calculating the total number of cubes needed to build towers of different heights.
  2. Integers: Modeling Integer Operations (doc)
  3. Integers: Record High Temperatures (doc)
Videos
  1. Virtual Nerd: Subtracting Using a Number Line
  2. Virtual Nerd: Adding Using a Number Line
  3. Open High School: Multiplying and Dividing Integers
  4. PH: Representing situations with integers
  5. PH: Adding integers using a number line
Explore Learning
  1. Adding Real Numbers: Add real numbers using dynamic arrows on a number line. Find the sum of the numbers at the end of the final arrow. Compare the numerical calculation.
  2. Adding and Subtracting Integers: Add and subtract integers on a number line using dynamic arrows.
  3. Adding and Subtracting Integers with Chips: Use chips to model addition and subtraction of positives and negatives. Explore the effect of zero pairs. See how to use zero pairs to help special cases of addition and subtraction
Websites
  1. Braining Camp: Modeling Integer Multiplication
  2. NLVM: Modeling Integer Addition
  3. NLVM: Modeling Integer Subtraction
  4. Sadlier: Modeling Addition - Color Chips Virtual Manipulative
  5. Sadlier: Modeling Subtraction - Color Chips Virtual Manipulative
  6. Learn Alberta: Select Number - Integers
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Working with Integers - The lessons in this section focus on comparing, adding, subtracting, multiplying, and dividing integers as well as describing the subsets of the real number system. (pdf)
Common Core Standards
7.NS.1a
7.NS.1b
7.NS.1d
7.NS.2a
7.NS.2b
7.NS.2c
7.NS.3
7.EE.3