Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Patterns, Functions, and Algebra
Focus: Variable Equations and Properties


The student will investigate and recognize
a)   the identity properties for addition and multiplication;
b)   the multiplicative property of zero; and
c)   the inverse property for multiplication. 
Essential Knowledge and Skills
  • Identify a real number equation that represents each property of operations with real numbers, when given several real number equations.
  • Test the validity of properties by using examples of the properties of operations on real numbers.
  • Identify the property of operations with real numbers that is illustrated by a real number equation. 
    NOTE: The commutative, associative and distributive properties are taught in previous grades.
Essential Understandings
  • How are the identity properties for multiplication and addition the same? Different? For each operation the identity elements are numbers that combine with other numbers without changing the value of the other numbers. The additive identity is zero (0). The multiplicative identity is one (1).
  • What is the result of multiplying any real number by zero? The product is always zero. 
  • Do all real numbers have a multiplicative inverse?  No.  Zero has no multiplicative inverse because there is no real number that can be multiplied by zero resulting in a product of one.
Vertical Articulation
  1. SOL 4.16b - investigate/ describe associative property for add/mult
  2. SOL 5.19 - distributive property of mult over addition
  3. SOL 7.16abcde - a) apply properties w/ real numbers: commutative and associative properties for add/mult; b) distributive property; c) additive/multiplicative identity properties; d) additive/ multiplicative inverse properties; e) multiplicative property of zero
  4. SOL 8.15c - identify properties of operations used to solve equations
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Pick and Choose (PDF) - Exploring properties of real numbers (Word)
  2. Notes: Properties of Real Numbers (ppt) - explanation of each property
  3. Notes: Properties Speed Drill (flipchart) - 20 practice problems using pictures to represent the properties
  4. Guided Notes and Practice: Properties of Real Numbers (doc) - 6 pages includes notes, a fill in chart, practice problems and activities
  5. Activity: Number Properties Sort - Associative, Commutative, Identity (pdf) - 30 questions to sort the properties into their respective category
  6. Activity: Properties Matching (doc)
  7. Graphic Organizer: Properties Flowchart (pdf) - helps students to know how to identify the different properties
  8. Self-paced Properties ActivEngage (flipchart) - 22 matching and multiple choice questions using ActivEngage.
  9. Game: Property Dominos (xls)
  10. Game: Name that Property! (ppt) - practice problems for students to practice identifying different properties
  11. Game: Number Property Matching (ppt) - practice questions to match with correct property
  12. Game: Properties: Last Man Standing (flipchart) - practice questions identifying different properties
  13. VDOE Algebra Readiness Curriculum Companion: Using Order of Operations and Exploring Properties (pdf)
Real World Lessons
Practice
  1. Worksheet: Identifying Properties of Multiplication (pdf) - 12 multiple choice questions
  2. Worksheet: Properties - Inverse, Identity, Mult. Property of Zero (doc) - 15 questions matching and creating properties
  3. Worksheet: Properties Multiple Choice (pdf) - 20 multiple choice questions
  4. Worksheet:  Properties Matching and Multiple Choice (doc) - 30 practice problems including matching and multiple choice
  5. Quiz: Properties (doc) - 10 question practice quiz
SOL Mini Quiz
  1. SOL 6.19 Mini Quiz: Properties (pdf)
Skills
Videos
  1. Additive Inverse Property (mp4)
  2. Associative Property (mp4)
  3. Identity Properties (mp4)
  4. Multiplicative Inverse Property (mp4)
  5. Multiplicative Property of Zero (mp4)
  6. Properties Rap (mp4)
Explore Learning
  1. Chocomatic (Multiplication, Arrays, and Area): Use the Chocomatic to design candy bars made out of chocolate squares. Use multiplication to find the number of squares in each chocolate bar. Build collections of chocolate bars that all have the same number of squares. Solve multiplication problems by joining two smaller chocolate bars into a large bar.
Websites
  1. AAAMath: Properties of Multiplication
  2. AAAMath: Properties of Addition
  3. SoftSchools: Addition and Mulitplication Properties Quiz
  4. Edubakery: Math Properties Bingo Cards
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Using Order of Operations and Exploring Properties - The lessons focus on order of operations and evaluating numerical expressions. Students will also investigate and recognize properties of real numbers used to solve an equation. (pdf)
Common Core Standards
6.EE.3