NY Next Generation Math NY-6.EE.5
The Standard
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 true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students test values from a specified set to find which ones make an equation or inequality true. They substitute each candidate and compare the two sides or check the inequality.
What Mastery Looks Like
- Given the set {2, 4, 6}, the student identifies 4 as making 3x + 1 = 13 true. The student clearly shows the substitution and truth check.
Common Misconceptions
- Students may test values outside the specified set or stop after finding one value for an inequality. They may substitute into only one occurrence of the variable.
How to Assess It
- From the set {1, 3, 5, 7}, ask which values make 2x + 1 less than 10 true and require substitution evidence.
Lesson moves
Ways to Teach It
Place candidate-number cards into equation mats and compare both sides after each substitution.
Ask students to explain why an inequality can have several true values in the same specified set.
Play true-value hunt, where pairs test every value in a supplied set against one equation or inequality.
Test which ticket quantities from a short list keep a purchase within a fixed budget.
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Printable NY-6.EE.5 Worksheet
A ready-to-print activity worksheet aligned to NY-6.EE.5, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- NY-7.EE.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning ab...
- NY-1.OA.7
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false.
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