Structures in Use

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The Mathematics Behind Structures of Equality: Understanding Equality and Decomposing Numbers

Most kids don’t struggle with math because they can’t do the calculations—it’s because they don’t fully understand how numbers work together. SoE changes that by helping students see the bigger picture: how numbers break apart, how equality actually works, and why units matter.

Learning math facts to ten with Parts Equal Total (PET)

Memorizing math facts to ten is helpful, but understanding them is even better. The Parts Equal Total (PET) structure helps kids see number relationships instead of isolated facts, making math more intuitive.

Helping Students Understand the Total Bar in a PET Structure

Are your students struggling with the PET structure? Use manipulatives and visual representations to gradually build their confidence and understanding.

5 Ways to Deepen Mathematical Reasoning with Estimation and Comparison

Estimation uses number relationships to build reasoning. Strategies like close comparisons, focusing on ‘less,’ and warm-ups increase problem-solving skills.

Extending Understanding: REG, Practice Standard 2, and the Math Main Idea

See how REG and Math Practice Standard 2 work together to help students comprehend word problems, bridging abstract reasoning and real-world problem solving.

Why asking “which structure?” may not be the right question

Are your students focusing too much on choosing the ‘right’ structure? Learn how emphasizing the math main idea with Structures of Equality can change how students approach and solve math word problems.

Repeated Equal Groups or Multiplicative Compare: which SoE should you use?

If a problem could be modeled with REG or a Compare structure, which is the right one?

Which structure represents the number story?

Choosing the right structure sometimes creates confusion for students and teachers alike. PET? REG? How do you decide?

Accuracy in visual math representations

Accuracy in visual math representations helps students understand the relationships between quantities. When should you hold students accountable?

Deepening understanding through context

Discover how using real-world contexts, structured discussions, and visual models can help students develop a deeper understanding of math concepts

Parts Equal Total structure as a Geometry Tool

Word problems and geometry might seem unrelated, but with the Parts Equal Total (PET) structure, students can bridge the gap.

Finding the main idea in math?

The main idea is as critical in math as it is in literacy. And it’s a key component of Structures of Equality.