True or False Equation Routine: Third Grade
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) 
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) 

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Lesson Idea (Common Core)Multiplying Whole Numbers & FractionsGrades 35 / Math / ReasoningMath.4.NF.B.4b / Math.Practice.MP2 / Math.Practice.MP3
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Lesson Idea (Common Core)Graphing with ColorsGrade 3 / Math / DataMath.2.MD.D.10
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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.
Tch visited Kristin's Gray's school. Watch the video.
Teacher & School Info

Kristin Gray

Andrea Hutchinson
 School Details
 Shields (Richard A.) Elementary School Lewes, DE
 Population
 722 students
 District Spending
 $14,381
Supporting Materials

Lesson Plan: True False Planning Guide.PDF

Student Work: Journal Samples.PDF

Reflection and Resources.PDF