Determine whether an equation is true or false by using comparative relational thinking. For example, without adding 60 and 24, determine whether the equation 60 + 24 = 57 + 27 is true or false.

[divider] [/divider]Students are able to…

  • Determine whether an equation is true or false where operations are used on both sides of the equal sign and justify by using comparative relational thinking.
  • Recognize the meaning of mathematical vocabulary, including: variable, product, quotient, sum, difference, and equation.

[divider] [/divider]Students are able to…because teachers…

  • Deliver apple opportunities for students to answer and discuss number relationships in comparative rational thinking questions.
  • Provide opportunities for students to strengthen comparative rational thinking vocabulary.

[divider] [/divider]Questions to ask students:

  • Without adding 40 and 12, determine whether the equation 40 + 12 = 37 + 15 is true or false.
    • Sample answer that indicates understanding: The student identifies that 40 is 3 more than 37 and 12 is 3 less than 15 so, the equation is correct.
    • Sample answer that indicates an incomplete understanding or a misconception: The student cannot rationally compare the values of both sides and must add them to determine whether the statement is true or false.

[divider] [/divider]FSA Notes

Cognitive Complexity Level: n/a

Achievement Level Descriptors:

2- determines whether an equation is true or false; identifies true and false equations that use comparative relational thinking

3- determines whether an equation is true or false, where addition or subtraction is used on both sides of the equal sign, and justifies by using comparative relational thinking

4- determines whether an equation is true or false, where multiplication or division is used on both sides of the equal sign, and justifies by using comparative relational thinking

5- determines whether an equation is true or false, where different operations are used on either side of the equal sign, and justifies by using comparative relational thinking

Assessment Limits:

Whole number equations are limited to:

  • addition and subtraction within 1,000.
  • multiplication of 2‐digit by 1‐digit or a multiple of 10 by a 1‐digit.
  • division of 2‐digit by 1‐digit.

Variables represented by a letter are allowable.

[divider] [/divider]Additional Resources:

Lesson: Find the missing number in an equation

Lesson: Is the equation True or False

[divider] [/divider]Sample Formative Assessment Tasks: