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Derive the equation for a line using the form y=mx+b. (8EE.6)
Solve linear equations with variables on both sides of the equation. (8.EE.7)
Concepts and Skills
* Power Standard Content
Graph proportional relationships, interpret unit rates as slope
* Derive the equation y=mx+b for a line
Write algebraic expressions in useful equivalent forms
* Solve linear equations in one variable
Analyze and solve pairs of two equations with two variables
Solve and graph inequalities
Use systems of linear equations and inequalities to solve problems
A student in 8th grade will demonstrate the ability to apply and comprehend critical language by explaining how systems of equations (linear and exponential) and inequalities can help solve problems, as well as developing an understanding of them.
Tables, graphs and equations are tools for modeling real-world situations.
Symbolic manipulation of equations facilitates finding answers to real-world questions.
Factual Guiding Questions
What do each of the variables in the standard equation y=mx+b represent?
What is an exponent?
How do you calculate the slope of a line?
What strategies are used to solve multi-step equations?
What is a square/cube root?
What is the difference between an expression, equation and inequality?
Conceptual Guiding Questions
How do you determine if two or more expressions are equivalent?
What do the patterns of change in each expression or equation represent?
How are symbolic statements used to show relationships or generalizations?
What is the difference between positive and negative exponents?
How are similar triangles related to slope?
How can you use square/cube roots to represent solutions to equations?
How do you apply the properties of exponents to simplify equations or exponents?
Engaging/Debatable Guiding Questions
What purpose does solving linear equations serve?
In what ways can symbolic reasoning help support a conjecture?
When is scientific notation used in real-world situations?
Why are symbolic statements used to show relationships or generalizations?
When would you use an expression, an equation or an inequality in a real-world situation?