These lessons, with videos, examples and step-by-step solutions, help Grade 6 students learn how to determine if a number sentence is true or false based on the given the equality and inequality symbols.
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Common Core For Grade 6
New York State Common Core Math Grade 6, Module 4, Lesson 23
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Lesson 23 Student Outcomes
Students explain what the equality and inequality symbols including =, <, >, ≤, and ≥ stand for. They determine if a number sentence is true or false based on the given symbol.
Lesson 23 Student Summary
Number Sentence: A number sentence is a statement of equality (or inequality) between two numerical expressions.
Truth Values of a Number Sentence: A number sentence that is an equation is said to be true if both numerical expressions evaluate to the same number; it is said to be false otherwise. True and false are called truth values.
Number sentences that are inequalities also have truth values. For example, 3 < 4, 6 + 8 > 15 > 12, and (15 + 3)2 < 1000 - 32 are all true number sentences, while the sentence 9 > 3(4) is false.
Opening Exercise
Determine what each symbol stands for and provide an example.
Example 1:
For each inequality or equation your teacher displays, write the equation or inequality, then substitute 3 for every x. Determine if the equation or inequality results in a true number sentence or a false number sentence.
Exercises
Substitute the value into the variable and state (in a complete sentence) whether the resulting number sentence is true or false. If true, find a value that would result in a false number sentence. If false, find a value that would result in a true number sentence.
Problem Set
Substitute the value into the variable, and state (in a complete sentence) whether the resulting number sentence is true or false. If true, find a value that would result in a false number sentence. If false, find a value that would result in a true number sentence.
Create a number sentence using the given variable and symbol. The number sentence you write must be true for the given value of the variable.
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