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Chapter 8 - Algebra: Equations and 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
Vocabulary
- Addition Property of Equality
- Division Property of Equality
- Identity Property of Addition
- inequality
- algebraic expression
- equation
- Identity Property of Multiplication
- inverse operations
- Multiplication Property of Equality
- solution of an equation
- Subtraction Property of Equality
- reciprocal
- solution of an inequality
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
AA.3 - Write inequalities from number lines
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