# Unit Details

​​​​​​​​​​​​​​​​​​​​​​​​Instructions: Rockwood unit details share the timeline, the enduring understanding and the essential questions for each unit.  Click on the standard title to be directed to the information on related standards for the unit.​

## Unit Details

• Unit Title
Equations and Inequalities
Unit Number
1
Course
Integrated Math 7/8
Content Area
Math
Description
Students will solve multi-step linear equations and inequalities.  They will identify the solution set for an inequality and if an equation has one solution, infinitely-many solutions or no solution.
Timeline
3 Week(s)
Enduring Understandings
Algebraic representation can be used to generalize patterns and relationships.
One representation may sometimes be more helpful than another; and, used together, multiple representations give a fuller understanding of a problem.

Essential Questions
How can you solve a multi-step equation or inequality and check for reasonableness?
How can you solve an equation that has variables on both sides?
How can you identify the number of solutions an equation has?
How can you use a number line to represent solutions of an inequality?

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## Supporting Standards

Standard
Standard Component
ECO

Write and/or solve linear equations and inequalities in one variable.
a. Write and/or solve equations of the form x+ p=q and px=q in which p and q are rational numbers.
b. Write and solve two-step equations of the form px+q=r and p(x+q)=r, where p, q, and r are rational numbers and interpret the meaning of the solution in the context of the problem.
c. Write, solve and/or graph inequalities of the form px+q>r or px+q<r, where p ,q and r are rational numbers.

## Major Standards

Standard
Standard Component
ECO

Solve linear equations and inequalities in one variable.
a. Create and identify linear equations with one solution, infinitely many solutions, or no solutions.
b. Solve linear equations and inequalities with rational number coefficients, including equations and inequalities whose solutions require expanding expressions using the distributive property and combining like terms.