Lesson of the Month for October 2025 -- Quotitive Division

We're well into the swing of the new school year, and Brick Math is the choice of so many educators and homeschoolers for their K-8 math curriculum. It works as a general curriculum, and also for intervention, supplement, and enrichment. This month's free Brick Math Lesson of the Month is on quotitive division and comes from Brick Math Division. To get this lesson, click here, and you'll also get a new free Brick Math lesson every month after that. 
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Students need to learn both quotitive and partitive division. Partitive division involves taking a group of objects and dividing the objects into equal groups of a certain number. Quotitive division looks at the concept of division in a different way. It demonstrates how division is actually repeated subtraction. Quotitive division helps students connect division to subtraction in the same way that they learn to connect multiplication to addition.
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This lesson about quotitive division starts with modeling a whole of 20, then counting down by 4s to zero. Each step is represented by a brick with 4 fewer studs, clearly showing students the repeated subtraction. At the end of the problem, the subtraction sentence 20 - 4 - 4 - 4 - 4 - 4 = 0, shown by the brick model that has been built, converts to the division sentence 20 ÷ 4 = 5. The lesson then continues with a second problem, starting with a new whole of 16 and counting down by 2s to zero, demonstrating 16 ÷ 2 = 8.
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The lesson starts with the Teacher lesson plans for the first four pages, followed by the three corresponding pages in the Student workbook. Try this lesson of the month with your students to see the power of Brick Math in action!
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The Brick Math curriculum is divided into 13 separate content areas: Counting, Addition, Subtraction, Multiplication, Division, Basic Fractions, Basic Measurement, Fraction Multiplication, Fraction Division, Advanced Measurement and Geometry, Decimals, Data and Statistics, and Pre-Algebra. 

​Students can start anywhere in the curriculum. Brick Math can be used as a complete math curriculum or brought in as a supplement to help students who aren't having math success with other programs.

​Check BrickMath.com to learn more!

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