Series Math Routines with Kristin Gray: Third Grade: True or False Equation Routine: Third Grade


Common core State Standards

  • Math:  Math
  • Practice:  Mathematical Practice Standards
  • MP7:  Look for and make use of structure.

    Mathematically proficient students look closely to discern a pattern or structure. Young students, for example, might notice that three and seven more is the same amount as seven and three more, or they may sort a collection of shapes according to how many sides the shapes have. Later, students will see 7 x 8 equals the well remembered 7 x 5 + 7 x 3, in preparation for learning about the distributive property.

    In the expression x2 + 9x + 14, older students can see the 14 as 2 x 7 and the 9 as 2 + 7. They recognize the significance of an existing line in a geometric figure and can use the strategy of drawing an auxiliary line for solving problems. They also can step back for an overview and shift perspective.

    They can see complicated things, such as some algebraic expressions, as single objects or as being composed of several objects. For example, they can see 5 – 3(x – y)2 as 5 minus a positive number times a square and use that to realize that its value cannot be more than 5 for any real numbers x and y.

Download Common Core State Standards (PDF 1.2 MB)


Common core State Standards

  • Math:  Math
  • 3:  Grade 3
  • OA:  Operations & Algebraic Thinking
  • B:  Understand properties of multiplication and the relationship between multiplication and division
  • 5: 
    Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

Download Common Core State Standards (PDF 1.2 MB)

True or False Equation Routine: Third Grade

Grade 3 / Math / Tch DIY
20 MIN
Math.Practice.MP7 | Math.3.OA.B.5


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The "True or False" routine encourages students to think relationally about expressions using what they know about the meaning of the equal sign, operations, and their properties.

Discussion and Supporting Materials


  • Private message to McKenna Tjaden

I chose this video as it is the specific grade level I want to teach. 

My name is McKenna and I am getting my teaching credential with my Master's. I am hoping for a year of wonderful learning. I have been recently hired a a barista and I love it.

True or False Equation Routine: Third Grade
True or False Equation Routine: Third Grade
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  • Private message to Joseph Espinosa
The supporting materials are great resources. Thank you! has additional videos and resources for getting started with this great routine for relational thinking. Here is the link:
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  • Private message to Mary Farrell
These students are really getting an opportunity to see "number sense" exploring and discussion ! I am inspired to give this a try.
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  • Private message to J Ward
There was SUCH lovely math that the first young lady was engaging in...she was noticing the relationship between 5x3=15 and was working towards a lovely explanation...I'm wondering how we might support students to continue their thinking and provide them the space and opportunity to surprise us with their deep understanding of mathematical relationships. Imagine the properties that could have been explored had she been provided the time and space to share her strategy from beginning to end...
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  • Private message to Muhammad Zubair
Great help and excellent lesson planning with purposeful innovation by the teacher.An effective way to make students grasp the concept of relational symbol.In the process, a lot of practice of mental maths and focus planning to try various options.
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School Details

Shields (Richard A.) Elementary School
910 Shields Avenue
Lewes DE 19958
Population: 560

Data Provided By:



Kristin Gray
Math / Kindergarten 1 2 3 4 5 / Teacher
Andrea Hutchinson