CCSS.Math.Content.6.EE.B

CCSS.Math.Content.6.EE.B is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.6.EE.B.5

  Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality tr...

• CCSS.Math.Content.6.EE.B.6

  Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown ...

• CCSS.Math.Content.6.EE.B.7

  Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative r...

• CCSS.Math.Content.6.EE.B.8

  Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of th...

01

What Students Need to Do

Students write one-variable equations and inequalities from situations. They test values, solve equations, graph inequality solutions on number lines, and explain what the answers mean in context.

02

What Mastery Looks Like

A student can solve equations such as x + 7 = 19 and 4x = 28, then check the answer by substitution. For an inequality such as n ≤ 6, the student can graph all solutions and explain what the boundary value means.

03

Common Misconceptions

Students may treat an inequality as if it has one answer instead of a set of answers. They may reverse the inequality symbol, use an inverse operation on only one side, or include values that do not make the statement true.

04

How to Assess It

Give this exit ticket: “Tickets cost $6 each, and you have $30. Write and solve an inequality for the number of tickets you can buy, then graph the solutions.”

1. 01

   Use a balance scale, cups, and counters to model x + 4 = 11, then remove equal amounts from both sides.

2. 02

   Ask students to compare x + 5 = 12 and x + 5 < 12, then explain how their solution sets differ.

3. 03

   Run a card match with equations, inequalities, solution values, and number-line graphs, requiring students to justify each completed set.

4. 04

   Give students a $24 snack budget and price cards, then have them write inequalities showing how many of each item they can buy.

• CCSS.Math.Content.HSA-REI.B

  Solve equations and inequalities in one variable

• CCSS.Math.Content.HSA-CED.A.1

  Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rati...

• CCSS.Math.Content.8.EE.C.7

  Solve linear equations in one variable.

• CCSS.Math.Content.HSA-REI.B.3

  Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.