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 
 VDOE Enhanced Scope and Sequence Lesson: Integers  Multiplication and Division (PDF)  Solve multiplication and division problems that contain integers (Word)
 Activity: Power Up Game (pdf)
 Notes: Integer Operations (pdf)
 Notes: Add and Subtract Integers (flipchart)
 Activity: Add and Subtract Integers Puzzle (flipchart)
 Foldable: Add and Subtract Integers (doc)
 Study Guide: Multiplying and Dividing Integers (doc)
 VDOE Algebra Readiness Curriculum Companion: Working with Integers (pdf)

Real World Lessons 

Practice 
 Integer Addition and Subtraction Word Problems (flipchart)
 Puzzle: Add Integers (pdf)
 Worksheet: Multiplying and Dividing Integers (doc)

SOL Mini Quiz 
 SOL 7.3b Mini Quiz: Integers (pdf)  (doc)

Skills 
 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.
 Integers: Integer Rules (doc)
 Integers: Income and Expenses (doc)

Videos 
 Open High School: Multiplying and Dividing Integers
 PH: Subtracting integers
 PH: Subtracting integers to solve problems
 PH: Multiplying integers
 PH: Dividing integers
 PH: Dividing integers to solve problems
 PH: Using the order of operations with grouping symbols

Explore
Learning 
 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.
 Adding and Subtracting Integers: Add and subtract integers on a number line using dynamic arrows.
 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 
 Shodor: Connect Four  Adding, Subtracting, Multiplying, Dividing Integers
 Sadlier: Diffy Game  Subtraction
 Learn Alberta: Exploring Integers and Temperature (Video Interactive)
 Learn Alberta: Select Number  Integers
 NLVM: Adding Integers Puzzle
 Arcademics: Adding Integer Outer Space Races
 Arcademics: Multiplying Integer Outer Space Races
 Arcademics: Integer Warp Game  Multiplying Integers
 Integer Jeopardy  Up to 4 players
 Integer Review with Quia  One or Two Players
 XPMath: Adding and Subtracting Driving Test
 StudyZone: Adding and Subtracting Integers Unit Resources
 StudyZone: Multiplying and Dividing Integers Unit Resources

VDOE Interventions 
 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 

