### Dependent and Independent Variables - Grade 6

 STRAND CPI SKILLS Resources Expressions & Equations The goal: Students will be able to apply and extend previous understandings of arithmetic to algebraic expressions, reason about and solve one-variable equations and inequalities, and represent and analyze quantitative relationships between dependent and independent variables. More specifically, students will understand the use of variables in mathematical expressions. They write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. Students will understand that expressions in different forms can be equivalent, and they will use the properties of operations to rewrite expressions in equivalent forms. Students will learn that the solutions of an equation are the values of the variables that make the equation true. Students will use properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations. Students will construct and analyze tables, such as tables of quantities that are in equivalent ratios, and they use equations (such as 3x = y) to describe relationships between quantities. Algebraic Reasoning Algebra Algebra Games Math By Design Maths Masters Algebra Virtual Manipulatives ExplorimentsIdentifying VariablesControls and VariablesMath WordsVariables and Expressions on Khan AcademyDifferentiated Lesson Plan Represent and analyze quantitative relationships between dependent and independent variables. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time. Patterns Quadratic Sequences Positive Linear   Function Machine Algebra and Graphing Review LessonIXL practicePractice ProblemsShmoop LessonSample ProblemsProject IdeaLinear Relationships LessonGraphing Functions on Math PlanetSMART notebook LessonLinear Equation Project