Chapter 7- Algebra: Expressions

Chapter 7 - Algebra: Expressions

6.EE.A.1 - Write and evaluate numerical expressions involving whole-number expressions.

6.EE.A.2 - Write, read, and evaluate expressions in which letters stand for numbers.

6.EE.A.2a - Write expressions that record operations with numbers and letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5-y.

6.EE.A.2b - Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as single entity. For example, describe the expression 2 (8+7) as a product of two factors; view (8+7) as both a single entity and a sum of two terms.

6.EE.A.2c - Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

6.EE.A.3 - Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

6.EE.A.4 - Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.

6.EE.B.6 - Use variables to represent numbers and write expressions when solving a real-world or mathematical problem: understand that a variable can represent an unknown number, or depending on the purpose at hand, any number in a specified set.

Vocabulary

  1. algebraic expression
  2. coefficient
  3. equivalent expressions
  4. exponent
  5. base (arithmetic)
  6. difference
  7. evaluate
  8. factor
  9. like terms
  10. order of operations
  11. quotient
  12. terms
  13. numerical expression
  14. product
  15. sum
  16. variable

Lesson 7.1 - Exponents

  • Students will be able to write and evaluate expressions involving exponents. (6.EE.A.1)

IXL Practice

  • D.1 - Write multiplication expressions using exponents
  • D.2 - Evaluate exponents

Lesson 7.2 - Evaluate Expressions Involving Exponents

  • Students will be able to use the order of operations to evaluate expressions involving exponents. (6.EE.A.1)

Lesson 7.3 - Write Algebraic Expressions

  • Students will be able to write algebraic expression.

IXL Practice

  • Y.1 - Write variable expressions
  • Y.2 - Write variable expressions: word problems

Lesson 7.4 - Identify Parts of Expression

  • Students will be able to identify and describe parts of expressions.

Lesson 7.5 - Evaluate Algebraic Expressions and Formulas

  • Students will be able to evaluate algebraic expressions and formulas

IXL Practice

  • Y.3 - Evaluate variable expressions with whole numbers

Lesson 7.6 - USe Algebraic Expressions

  • Students will be able to use algebraic expressions to solve problems. (6.EE.B.6)

IXL Practice

  • Y.2 - Write variable expressions: word problems
  • Y.3 - Evaluate variable expressions with whole numbers

Lesson 7.7 - Problem Solving: Combine Like Terms

  • Students will be able to combine like terms by applying the strategy: use a model.

IXL Practice

  • Y.12 - Add and subtract like terms

Lesson 7.8 - Generate Equivalent Expressions

  • Students will be able to use the properties of operations to generate equivalent algebraic expressions.

IXL Practice

  • Y.11 - Write equivalent expressions using properties

Lesson 7.9 - Identify Equivalent Expressions

  • Students will be able to identify equivalent algebraic expressions.

IXL Practice

  • Y.11 - Write equivalent expressions using properties