Course 2 Online!
Henrico County Public Schools, Virginia
7.16 - Properties
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Patterns, Functions, and Algebra
Focus: Linear Equations


The student will apply the following properties of operations with real numbers:
a)   the commutative and associative properties for addition and multiplication;
b)   the distributive property;
c)   the additive and multiplicative identity properties;
d)   the additive and multiplicative inverse properties; and
e)   the multiplicative property of zero. 
Essential Knowledge and Skills 
  • Identify properties of operations used in simplifying expressions.
  • Apply the properties of operations to simplify expressions.
Essential Understandings
  • Why is it important to apply properties of operations when simplifying expressions? Using the properties of operations with real numbers helps with understanding mathematical relationships.
Vertical Articulation
  • SOL 5.19 - distributive property of mult over addition
  • SOL 6.19abc - a) investigate/recognize identity properties for add/mult; b) multiplicative property of zero; c) inverse preperty for mult
  • SOL 8.15c - identify properties of operations used to solve equations
  • SOL A.2abc - perform operations on polynomials - a) apply laws of exponents to perform operationss on expressions; b) add/subtract/multiply/divide polynomials; c) factor first and second degree binomials/trinomials (1 or 2 variables)
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Properties (PDF) - Identifying and applying properties (Word)
  2. Notes: Properties of Real Numbers (ppt)
  3. Notes: Properties of Real Numbers (flipchart)
  4. Notes: Properties of Real Numbers #2 (flipchart)
  5. Notes: Properties with Caddies (ppt)
  6. Activity: Properties Cut & Paste (doc)
  7. Activity: Properties Foldable (doc)
  8. Game: Properties Concentration (flipchart)
  9. Notes: Property Pictures (doc)
  10. VDOE Algebra Readiness Curriculum Companion: Using Order of Operations and Exploring Properties (pdf)
Real World Lessons
Practice
  1. Worksheet: Properties (doc)
  2. Worksheet: Properties #2 (doc)
  3. Worksheet: Identifying Properties (pdf)
  4. Puzzle: Properties (pdf)
  5. Quiz: Properties (doc)
  6. Properties of Real Numbers (flipchart)
  7. Worksheet: Properties Matching (doc)
SOL Mini Quiz
  1. SOL 7.16 Mini Quiz: Properties (pdf) | (doc)
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. Regents Prep: Properties Practice
  2. Regents Prep: Properties Practice #2
  3. ClassZone: Commutative, Associative, and Distributive
  4. Brainpop: Commutative Property
  5. Brainpop: Associative Properties
  6. Brainpop: Distributive Property
  7. Quia: Rags to Riches Property Review
  8. Quia: Property Review
  9. Quia: Associative Property Battleship
  10. Quia: Properties Battleship
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.NS.4
6.EE.3
7.NS.1a
7.NS.1b
7.NS.1c
7.NS.1d
7.NS.2a
7.NS.2c