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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

Integer exponents

Square/cube roots

Scientific notation

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

Critical Language

Language Usage

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.

Content-Specific Vocabulary

Integer

Exponent

Square root

Cube root

Scientific notation

Proportion

Unit rate

Similar

Slope

Linear equation

Variable

Infinite

No solution

Rational number

Coefficient

Inequalities

Equations

Algebraic expressions

System

Process-Specific Vocabulary

Graph

Demonstrate

Consistency

Solve

Derive

Interpret

Concept-Based Connections

Essential Understandings

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?