Problems+with+Variables

= 7-EE4 = =Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.=

a. Solve word problems leading to equations of the form //px + q = r// and //p(x + q) = r//, where //p, q,// and //r// are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. [7-EE4a]


 * Example: The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

b. Solve word problems leading to inequalities of the form //px + q > r//, or //px + q < r,// where //p, q,// and //r// are specific rational numbers. Graph the solution set of the inequality, and interpret it in the context of the problem. [7-EE4b]


 * Example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Sixth Grade > Seventh Grade > > >
 * ACOS 2009 Correlation **
 * 2 - Solve problems involving decimals, percents, fractions, and proportions.
 * 7 - Solve problems involving perimeter and area of parallelograms and rectangles.
 * 5 - Write verbal phrases as algebraic expressions and algebraic expressions as verbal phrases.
 * 5.1 - Identifying a variable as an unknown quantity.
 * 6 - Solve one- and two-step equations.
 * 6.1 - Solving inequalities with one variable.
 * 6.2 - Graphing solution sets of inequalities on a number line.
 * 6.3 - Recognizing properties of equality.
 * 9 - Solve problems involving circumference and area of circles.
 * 10 - Calculate the perimeter of polygons and the area of triangles and trapezoids.
 * 11 - Solve problems involving ratios or rates, using proportional reasoning.

7-EE4a || 7-EE4a || 7-EE4b ||
 * CMP2 Correlation **
 * **Book** ||= **Investigation** || **Objective** ||
 * Variables & Patterns ||= 1 || 7-EE4a ||
 * ||= 2 || 7-EE4a ||
 * ||= 3 || 7-EE4
 * Moving Straight Ahead ||= 1-4 || 7-EE4
 * Common Core Inv. ||= 3 || 7-EE4


 * Resources **

North Carolina's Lessons for Learning

Number Tricks - 7EE3, 7EE1, 7EE4

Sweet Algebra - 7EE4
 * I can connect order of operations to the decomposition of a multi-step equation.
 * I can solve multi-step equations.
 * I can translate words into mathematical expressions.
 * I can translate mathematical expressions into words.
 * I can translate words into algebraic expressions.
 * I can write and solve an equation to model a situation.
 * I can use the arithmetic from a problem to generalize an algebraic solution.
 * I can solve multi-step equations.

From [|Harding Math Specialist]
 * **7.EE.1-4** - **Expressions and Equations Short Tasks** - @http://www.map.mathshell.org/materials/tasks.php?taskid=399&subpage=novice - (Task) Students will look at several short tasks or warm-up type problems dealing with basic expressions and equations. These problems vary from expressions and equations using basic operation skills to those using evaluation and analysis.

My Humble Opinion Inequalities are not new to the content, but they were not included in ARMT Item Specs. Increase in rigor of word problems.