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Write, read, and evaluate expressions in which letters stand for numbers. (6.EE.2)
Solve mathematical problems, including those in real-world contexts, by writing and solving one-step equations using non-negative rational numbers. (6.EE.7)
Concepts and Skills
* Power Standard Content
Write and evaluate numerical expressions involving whole-number exponents
* Evaluate expression by substituting values for variables and using the order of operations, including whole-number exponents
Generate equivalent expressions using properties of operations
Identify when two expressions are equivalent
Write an expression using variables to solve a real-world problem
* Write and solve one-step equations
Write an inequality to represent a real-world problem
Write an equation using two variables that represent a dependent/independent relationship
Identify the relationship between two variables in tables, graphs, and equations
A student in 6th grade will demonstrate the ability to apply and comprehend critical language by identifying the parts of an expression, explaining the relationship between two variables in tables, graphs, and equations, interpreting the problem and writing an equation/inequality, explaining a solution strategy, and describing why expressions are/are not equivalent.
Equations and inequalities are models of relationships that exist in real-world situations.
Writing and solving an equation or inequality is an efficient strategy for finding a solution to a real-world problem.
The relationship between two variables can be represented by tables, graphs, and equations.
Situations determine the form that an expression or equation will take.
Factual Guiding Questions
Why is it important to follow the order of operations?
How do you know when two things are equivalent?
What are the variables in the problem? Which is dependent? Independent?
Conceptual Guiding Questions
How does the relationship between two variables show up in a table, graph, and equation?
What decisions do you need to make when writing an equation to represent a relationship between variables?
What does it mean to say that two expressions are equivalent?
Engaging/Debatable Guiding Questions
Which representation makes it easiest to see the relationship between two variables?
How are equations useful in the real world? Where do we see this?