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Apply properties of operations to generate equivalent expressions (i.e. add, subtract, factor and expand linear expressions). (7.EE.1)
Solve mathematical problems, including those in real-world contexts, by constructing and solving two-step equations and inequalities. (7.EE.4)
Concepts and Skills
* Power Standard Content
* Add, subtract, factor and expand linear expressions
* Rewrite expressions in equivalent forms
* Solve multi-step real-world problems
Calculate with numbers in any form
Convert between forms
Use mental computation and estimation strategies to assess reasonableness of answers
* Construct and solve simple equations and inequalities
Apply properties of operations to simplify expressions and solve problems (e.g., commutative property, distributive property)
Translate between representations of linear relationships (e.g., graph, table, equations)
A student in 7th grade can demonstrate the ability to apply and comprehend critical language by identifying, representing and interpreting linear relationships/functions and writing and solving linear equations.
Linear functions are the algebraic representations of proportions.
Linear functions have multiple representations.
Factual Guiding Questions
What does a variable represent in a given problem?
What is a linear relationship?
How are the parts of a linear relationship represented by an equation in the form y=mx+b?
How can you solve for an unknown in an equation?
Conceptual Guiding Questions
How is a linear relationship represented in a table, graph, and equation?
How can you find the equation of a line?
How can you solve a problem using a table, graph or equation?
When is it useful to find an equivalent form of an expression?
Engaging/Debatable Guiding Questions
Which linear representation (e.g., table, graph, or equation) would you use to solve a problem?
Why is it important to know how to solve linear equations?
How are linear equations related to real-world situations?
How are properties of operations helpful in problem solving?