Course 2 Online!
Henrico County Public Schools, Virginia
7.3b - Integers
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
*Items measuring these SOL will be completed without the use of a calculator.
Computation and Estimation
Focus: Integer Operations and Proportional Reasoning


The student will
b)   add, subtract, multiply, and divide integers. 
Essential Knowledge and Skills 
  • Add, subtract, multiply, and divide integers.
  • Simplify numerical expressions involving addition, subtraction, multiplication and division of integers using order of operations.
  • Solve practical problems involving addition, subtraction, multiplication, and division with integers.
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
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Integers - Multiplication and Division (PDF) - Solve multiplication and division problems that contain integers (Word)
  2. Activity: Power Up Game (pdf)
  3. Notes: Integer Operations (pdf)
  4. Notes: Add and Subtract Integers (flipchart)
  5. Activity: Add and Subtract Integers Puzzle (flipchart)
  6. Foldable: Add and Subtract Integers (doc)
  7. Study Guide: Multiplying and Dividing Integers (doc)
  8. VDOE Algebra Readiness Curriculum Companion: Working with Integers (pdf)
Real World Lessons
Practice
  1. Integer Addition and Subtraction Word Problems (flipchart)
  2. Puzzle: Add Integers (pdf)
  3. Worksheet: Multiplying and Dividing Integers (doc)
SOL Mini Quiz
  1. SOL 7.3b Mini Quiz: Integers (pdf) | (doc)
Skills
  1. Mathematics Assessment Project:
    • A11:Division - Apprentice - In this task, you will look at problems in which the answer might be 100 ÷ 6. You must decide whether this is true, and what would be a sensible answer to write down.
    • E02:Cross Totals - Expert - In this task, you investigate a number puzzle.
    • E11:Taxi Cabs - Expert - In this task, you must use math to find the best way to organize cabs for a large group of people.
  2. Integers: Integer Rules (doc)
  3. Integers: Income and Expenses (doc)
Videos
  1. Open High School: Multiplying and Dividing Integers
  2. PH: Subtracting integers
  3. PH: Subtracting integers to solve problems
  4. PH: Multiplying integers
  5. PH: Dividing integers
  6. PH: Dividing integers to solve problems
  7. PH: Using the order of operations with grouping symbols
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. Shodor: Connect Four - Adding, Subtracting, Multiplying, Dividing Integers
  2. Sadlier: Diffy Game - Subtraction
  3. Learn Alberta: Exploring Integers and Temperature (Video Interactive)
  4. Learn Alberta: Select Number - Integers
  5. NLVM: Adding Integers Puzzle
  6. Arcademics: Adding Integer Outer Space Races
  7. Arcademics: Multiplying Integer Outer Space Races
  8. Arcademics: Integer Warp Game - Multiplying Integers
  9. Integer Jeopardy - Up to 4 players
  10. Integer Review with Quia - One or Two Players
  11. XPMath: Adding and Subtracting Driving Test
  12. StudyZone: Adding and Subtracting Integers Unit Resources
  13. StudyZone: Multiplying and Dividing Integers Unit Resources
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
6.NS.5
7.NS.1d
7.NS.2a
7.NS.2b
7.NS.2c
7.NS.3
7.EE.3