Unit 5 - Exploring Real-life phenomena through one-step equations & inequalities
Unit Description:
In this unit, students will explore one-step equations and inequalities. Students will building their problem-solving stamina. Students demonstrate their ability to solve equivalent expressions and possible solutions for inequalities with nonnegative numbers and solutions.
In this unit, students will explore one-step equations and inequalities. Students will building their problem-solving stamina. Students demonstrate their ability to solve equivalent expressions and possible solutions for inequalities with nonnegative numbers and solutions.
IN THIS UNIT, STUDENTS WILL:
● 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. |
Khan Academy Resources
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Learning Objectives
6.PAR.7.1 Solve one-step equations and inequalities involving variables when values for the variables are given. Determine whether an equation and inequality involving a variable is true or false for a given value of the variable.
6.PAR.7.2 Write one-step equations and inequalities 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 xp=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 the 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.7.1 Solve one-step equations and inequalities involving variables when values for the variables are given. Determine whether an equation and inequality involving a variable is true or false for a given value of the variable.
6.PAR.7.2 Write one-step equations and inequalities 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 xp=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 the 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.
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 from 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-steps inequalities from real-world context to solve mathematical problems.
- I can recognize and graph solutions to inequalities on a number line.
Textbook Connections
Module 6 - Lesson 1 Equation and Inequalities
Students will use substitution to solve one-step equations.
Module 6 – Lesson 2 Adding One-Step Equations
Students will use the Subtraction Property of Equality to write and solve one-step addition equations.
Module 6 – Lesson 3 Subtracting One-Step Equations
Students will use the Addition Property of Equality to write and solve one-step addition equations.
Module 6 – Lesson 4 Multiplying One-Step Equations
Students will use the Division Property of Equality to write and solve one-step multiplication equations.
Module 6 – Lesson 5 Dividing One-Step Equations
Students will use the Multiplication Property of Equality to write and solve one-step multiplication equations.
Module 6 – Lesson 6 Inequalities
Students will write, solve, and graph inequalities.
Module 6 - Lesson 1 Equation and Inequalities
Students will use substitution to solve one-step equations.
Module 6 – Lesson 2 Adding One-Step Equations
Students will use the Subtraction Property of Equality to write and solve one-step addition equations.
Module 6 – Lesson 3 Subtracting One-Step Equations
Students will use the Addition Property of Equality to write and solve one-step addition equations.
Module 6 – Lesson 4 Multiplying One-Step Equations
Students will use the Division Property of Equality to write and solve one-step multiplication equations.
Module 6 – Lesson 5 Dividing One-Step Equations
Students will use the Multiplication Property of Equality to write and solve one-step multiplication equations.
Module 6 – Lesson 6 Inequalities
Students will write, solve, and graph inequalities.
IXL Unit Modules with Short Cut Codes
6.PAR.7.1
Does x Satisfy an Equation? - VMB
Which x Satisfies and Equation? - VG8
Solutions to Inequalities - P9N
6.PAR.7.2
Write One-Step Equations: Word Problems - YVX
Write One-Step Inequalities: Word Problems - N2A
6.PAR.7.3
Solve One-Step Addition and Subtraction Equations with Whole Numbers - JXM
Solve One-Step Multiplication and Division Equations with Whole Numbers - JUA
Solve One-Step Equations with Whole Numbers - WLR
Solve One-Step Addition and Subtraction Equations with Decimals and Fractions - 5D2
Solve One-Step Multiplication and Division Equations with Decimals and Fractions - T53
Solve One-Step Addition and Subtraction Equations: Word Problems - 35Q
Solve One-Step Multiplication and Division Equations: Word Problems - GMV
Write One-Step Equations: Word Problems -YVX
Solve One-Step Equations: Word Problems - BXY
6.NR.7.4
Graph Inequalities on a Number Line - CXX
Write Inequalities from a Number Line - N99
Write and Graph Inequalities: Word Problems - AGB
6.PAR.7.1
Does x Satisfy an Equation? - VMB
Which x Satisfies and Equation? - VG8
Solutions to Inequalities - P9N
6.PAR.7.2
Write One-Step Equations: Word Problems - YVX
Write One-Step Inequalities: Word Problems - N2A
6.PAR.7.3
Solve One-Step Addition and Subtraction Equations with Whole Numbers - JXM
Solve One-Step Multiplication and Division Equations with Whole Numbers - JUA
Solve One-Step Equations with Whole Numbers - WLR
Solve One-Step Addition and Subtraction Equations with Decimals and Fractions - 5D2
Solve One-Step Multiplication and Division Equations with Decimals and Fractions - T53
Solve One-Step Addition and Subtraction Equations: Word Problems - 35Q
Solve One-Step Multiplication and Division Equations: Word Problems - GMV
Write One-Step Equations: Word Problems -YVX
Solve One-Step Equations: Word Problems - BXY
6.NR.7.4
Graph Inequalities on a Number Line - CXX
Write Inequalities from a Number Line - N99
Write and Graph Inequalities: Word Problems - AGB