UNIT 9: exploring real-life phenomena through one-step equations and inequalities
IN THIS UNIT, STUDENTS WILL BE EXPECTED TO:
- Determine if an equation or inequality is appropriate for a given situation.
- Solve mathematical and real-world problems with equations, when values for the solutions are given.
- Represent real-world situations as inequalities.
- Interpret the solutions to equations and inequalities.
- Represent the solutions to inequalities on a number line.
- Analyze the relationship between dependent and independent variables through the use of tables, equations and graphs.
- Determine if an equation or inequality is appropriate for a given situation.
- Solve mathematical and real-world problems with equations, when values for the solutions are given.
- Represent real-world situations as inequalities.
- Interpret the solutions to equations and inequalities.
- Represent the solutions to inequalities on a number line.
- Analyze the relationship between dependent and independent variables through the use of tables, equations and graphs.
LEARNING OBJECTIVES:
6.PAR.7 Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations.
6.PAR.7.1. Solve one-step equations involving variables when values of the variable are given. Determine whether an equation involving a variable is true or false for the given value of the variable.
6.PAR.7.2. Write one-step equations to represent and solve problems; explain that a variable can represent an unknown number or any number in a specified set.
6.PAR.7.3. Solve problems by writing and solving equations of the form x + p = q, px = q, and x/p = q for cases in which p, q, and x are all nonnegative rational numbers.
6.PAR.7.4. Recognize and generate inequalities of form x > c, x ≥ c, x ≤ c, or x < c to explain situations that have infinitely many solutions; represent solutions of such inequalities on a number line.
6.PAR.7 Write and solve one-step equations and inequalities as mathematical models to explain authentic, realistic situations.
6.PAR.7.1. Solve one-step equations involving variables when values of the variable are given. Determine whether an equation involving a variable is true or false for the given value of the variable.
6.PAR.7.2. Write one-step equations to represent and solve problems; explain that a variable can represent an unknown number or any number in a specified set.
6.PAR.7.3. Solve problems by writing and solving equations of the form x + p = q, px = q, and x/p = q for cases in which p, q, and x are all nonnegative rational numbers.
6.PAR.7.4. Recognize and generate inequalities of form x > c, x ≥ c, x ≤ c, or x < c to explain situations that have infinitely many solutions; represent solutions of such inequalities on a number line.
LEARNING TARGETS (I Can Statements):
- I can substitute values for a variable to determine if the equation is true.
- I can solve one-step equations using the inverse operation.
- I can write one-step equations in a real-world context to solve mathematical problems.
- I can substitute values for a variable to determine if the inequality is true.
- I can solve one-step inequalities using the inverse operation.
- I can write one-step inequalities in a real-world context to solve mathematical problems.
- I can recognize and graph solutions to inequalities on a number line.
- I can substitute values for a variable to determine if the equation is true.
- I can solve one-step equations using the inverse operation.
- I can write one-step equations in a real-world context to solve mathematical problems.
- I can substitute values for a variable to determine if the inequality is true.
- I can solve one-step inequalities using the inverse operation.
- I can write one-step inequalities in a real-world context to solve mathematical problems.
- I can recognize and graph solutions to inequalities on a number line.
TEXTBOOK CONNECTIONS:
(Use Georgia Reveal Math - Course 1 - 6th Grade)
Module 6 – Equations and Inequalities
Write and solve one-step equations and inequalities.
Lesson 6-1 Use Substitution to Solve One-Step Equations
Students will use substitution to solve one-step equations.
Lesson 6-2 One-Step Addition Equations
Students will use the Subtraction Property of Equality to write and solve one-step addition equations.
Lesson 6-3 One-Step Subtraction Equations
Students will use the Addition Property of Equality to write and solve one-step subtraction equations.
Lesson 6-4 One-Step Multiplication Equations
Students will use the Division Property of Equality to write and solve one-step multiplication equations.
Lesson 6-5 One-Step Division Equations
Students will use the Multiplication Property of Equality to write and solve one-step division equations.
Lesson 6-6 Inequalities
Students will write, solve, and graph inequalities.
(Use Georgia Reveal Math - Course 1 - 6th Grade)
Module 6 – Equations and Inequalities
Write and solve one-step equations and inequalities.
Lesson 6-1 Use Substitution to Solve One-Step Equations
Students will use substitution to solve one-step equations.
Lesson 6-2 One-Step Addition Equations
Students will use the Subtraction Property of Equality to write and solve one-step addition equations.
Lesson 6-3 One-Step Subtraction Equations
Students will use the Addition Property of Equality to write and solve one-step subtraction equations.
Lesson 6-4 One-Step Multiplication Equations
Students will use the Division Property of Equality to write and solve one-step multiplication equations.
Lesson 6-5 One-Step Division Equations
Students will use the Multiplication Property of Equality to write and solve one-step division equations.
Lesson 6-6 Inequalities
Students will write, solve, and graph inequalities.
IXL SKILLS: