Chapter 8 - Algebra: Equations & Inequalities

Chapter 8 - Algebra: Equations and Inequalities

6.EE.B.5 - Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

6.EE.B.7 - Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers.

6.EE.B.8 - Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

Vocabulary

  1. Addition Property of Equality
  2. Division Property of Equality
  3. Identity Property of Addition
  4. inequality
  5. algebraic expression
  6. equation
  7. Identity Property of Multiplication
  8. inverse operations
  9. Multiplication Property of Equality
  10. solution of an equation
  11. Subtraction Property of Equality
  12. reciprocal
  13. solution of an inequality
  14. variable

Lesson 8.1 - Solutions of Equations

  • Students will be able to determine whether a number is a solution of an equation. (6.EE.B.5)

IXL Practice

  • Z.1 - Does x satisfy an equation?

Lesson 8.2 - Write Equations

  • Students will be able to translate between words and equations. (6.EE.B.7)

IXL Practice

  • Y.2 - Write variable expressions: word problems
  • Z.3 -Write and equation from words

Lesson 8.3 - Investigate: Model and Solve Addition Equations

  • Students will be able to use models to solve addition equations. (6.EE.B.7)

IXL Practice

  • Z.4 - Model and solve equations using algebra tiles

Lesson 8.4 - Solve Addition and Subtraction Equations

  • Students will be able to use algebra to solve addition and subtraction equations. (6.EE.B.7)

Lesson 8.5 - Investigate: Model and Solve Multiplication Equations

  • Students will be able to use models to solve multiplication equations. (6.EE.B.7)

Lesson 8.6 - Solve Multiplication and Division Equations

  • Students will use algebra to solve multiplication and division equations. (6.EE.B.7)

IXL Practice

  • Z.6 - Solve one-step equations with whole numbers
  • Z.7 - Solve one-step equations with decimals, fractions, and mixed number

Lesson 8.7 - Problem Solving: Equations with Fractions

  • Students will be able to solve equations involving fractions by using the strategy: solve a simpler problem. (6.EE.B.7)

Lesson 8.8 - Solution of Inequalities

  • Students will be able to determine whether a number is a solution of an inequality. (6.EE.B.5)

IXL Practice

  • AA.1 - Solutions to inequalities

Lesson 8.9 - Write Inequalities

  • Students will be able to write algebraic equations. (6.EE.B.5)

Lesson 8.10 - Graph Inequalities

  • Students will be able to represent solutions of algebraic inequalities on number line diagrams. (6.EE.B.8)

IXL Practice

AA.3 - Write inequalities from number lines