C2.0 Mathematics 6 Parent Resource Marking Period 3: Expressions and Equations Marking Period 3 includes 4 topics of study, listed below. This resource is for Topic 4. Topic 1 Topic 2 Topic 3 Introducing Algebraic Expressions Properties and Equivalency Equations and Inequalities Topic 4 Relationships between Variables Learning Goals by Common Core State Standard Topic Relationships between Variables Students will be able to... Represent the relationship between the independent and dependent variables on a table and a graph. Write an equation in two variables, created from a real-world problem choosing an independent variable and dependent variable, and then make a table and a graph. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. Instructional videos in the hyperlinks above are meant to support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS. The Common Core State Standards require a balance of three fundamental components that result in rigorous mathematics acquisition: deep conceptual understanding, procedural skill, and mathematical applications and modeling. RIGOR Deep Conceptual Understanding Relationships between Variables Applications and Modeling Procedural Skill Students will reason about realworld situations to analyze the relationship between independent and dependent variables. Students will build accuracy when graphing an equation in two variables. Students will apply understandings of independent and dependent variables to graph equations representing realworld contexts. C2.0 Mathematics 6 Parent Resource Page Marking Period 3: Expressions and Equations Topic 4: Relationships between Variables Learning Experiences by Common Core State Standard In school, your child will… Topic 4: Relationships between Variables Identify independent and dependent variables. Example: The amount of money I make babysitting is determined by the number of hours I babysit. o Independent variable: The number of hours I babysit. (The independent variable does not change because of the dependent variable. It is independent of the other variable and changes without the dependent.) o Dependent variable: The amount of money I make. (The dependent variable is directly affected by any changes to the independent variable. If the independent variable changes the dependent will change as a result.) Write an equation in two variables, created from a real-world problem choosing an independent variable and dependent variable, and then make a table and a graph. Example: Marcus is filling his pool to get ready for summer. He wants to determine the total number of hours it will take to fill his 10,000 gallon pool. o He wrote the equation g 500h to represent the total amount of gallons of water he has added to the pool. At home, your child can… Identify independent and dependent variables in real-world contexts. o Amount of money spent depends on the number of items purchased. o When the laundry is dry is determined by when the dryer starts. o How much dog barks is dependent on how times people knock on the door. Make a plan to save money for a big purchase such as a game system or a bicycle. o Determine how much to save each week. o Write an equation to represent the plan. o Identify the independent and dependent variable. o Make a table and a graph. o Figure out how long it would take to save a specified amount and how much would be saved in a given timeframe. Additional Practice Identify independent and dependent variables (practice) Plotting ordered pairs (game) Function Machine (practice) Independent and dependent variables (video) MP3 Topic 4 Relationships Between Variables (flexbook) Additional Practice links support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS.
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