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Dividing Fractions for Understanding

Dividing Fractions for Understanding
Student understanding of dividing with fractions is usually regulated to something to the effect of, "You need to flip the fraction and you need to multiply." As a teacher, I am usually excited if students can even recall that information.…
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Assessing Mathematical Fluency

Assessing Mathematical Fluency
It is the end of the school year. You've spent time and energy teaching various math concepts so that your students have a conceptual understanding of content. Students in your class have explored foundations of operations using concrete models and…
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Division Progression

Division Progression
The progression of division starts in 3rd grade...and it is crucial that students really develop a deep concrete understanding of division. If your 4th grade students are still relying on drawing pictures of equal groups with tally marks, they may…
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Reasoning About Division

Reasoning About Division
Checkout how this 4th grade teacher uses the number routine "Number Strings" to engage students in meaningful mathematical discourse as they build their understanding of how to find whole number quotients using strategies based on place value, MAFS.4.NBT.2.6. Through her…
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Are your 4th graders still struggling with their basic facts?

Are your 4th graders still struggling with their basic facts?
While the 3rd grade standard MAFS.3.OA.3.7 states, "By the end of grade 3, know from memory all products of two one-digit numbers.", this is, unfortunately, not always the case. There are often 4th grade students who are attempting to build…
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Dividing Using the Area Model in Context of Problem Solving

Dividing Using the Area Model in Context of Problem Solving
143 students will be attending the school music concert. Each row will seat 13 students. How many rows will be needed for all of the students to have a seat? Long division. Ugh. When was the last time you used…
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Fact Fluency- What is it?

Fact Fluency- What is it?
What is fact fluency? An important goal for third graders is to develop fluency with multiplication and division by the end of the school year. Fact fluency is the ability to think of numbers flexibly and respond accurately in about…
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Relationships Don’t Have To Be Complicated- The Story of Multiplication, Division, and Place Value.

Relationships Don’t Have To Be Complicated- The Story of Multiplication, Division, and Place Value.
Once upon a time long long ago… Just Kidding. A long time ago (like yesterday or the day before) a post came out about base ten and place value. If you didn’t get a chance to check it out just…
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Arrays – Top 5 things to know about using arrays to model multiplication & division

Arrays – Top 5 things to know about using arrays to model multiplication & division
Top 5 Things to know about using arrays to model multiplication & division: 1. An array is an arrangement of things organized into equal rows and equal columns, which creates a rectangular shape. The rows represent the number of groups…
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Understanding Division

Understanding Division
What is division? Division is when you know the total amount, and either the number of groups or the size of the equal groups are unknown. Students are expected to understand this process looking at the actions in a story…
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Why Bother to Estimate??

Why Bother to Estimate??
Estimation is often overlooked in lessons involving multiplication or division. Even if students are told to estimate first, they often calculate to find the precise answer then round it to make an estimate. That should prompt teachers to consider the…
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Direct Modeling- Why is it Important?

Direct Modeling- Why is it Important?
What is direct modeling? Direct modeling is when students show exactly what is happening in the problem, using manipulatives or pictures, to solve. Direct modeling is a powerful strategy that provides a foundation for the more advanced strategies that follow.…
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Open Number Lines Can Change Your Life!

Open Number Lines Can Change Your Life!
What are open number lines? An open number line starts as a line with no numbers. They can be used as a visual representation for recording thinking during the process of mental computation. Why are open number lines so useful?…
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