The FREE Brick Math Lesson of the Month for December 2023 is all about a tricky subject: Fraction Division. It comes from Fraction Division Using LEGO® Bricks and helps students understand a math subject area typically taught in grades 4-6. To get the December 2023 Brick Math Lesson of the Month, "Understanding Fraction Division," plus a new lesson each month, click here.  Each Lesson of the Month includes the Teacher Lesson Guide as well as the Student Workbook Pages that correspond to the lesson. 

The Lesson of the Month comes from Chapter 1 of Fraction Division. It's a great way to demonstrate the meaning of dividing fractions. Often students don't understand what dividing by a fraction really is, even if they can handle the mathematical algorithm of multiplying by the reciprocal. This lesson clearly shows the concept and relates it to division by whole numbers.

The lesson starts with a review of division by whole numbers, reminding students that "16 divided by 8" means breaking 16 into 8 groups , with 2 in each group. Then the lesson moves to an example with fractions, using the same terminology so students easily make the connection. The brick models help to demonstrate the concept. And this lesson includes two fraction division problems to help your students solidify the learning.

Brick Math is a K-8 math curriculum that uses LEGO® bricks to model 13 different math subjects: 
Counting, Addition, Subtraction, Multiplication, Division, Basic Fractions,   Basic Measurement, Fraction Multiplication, Fraction Division, Advanced Measurement and Geometry, Decimals, Data and Statistics, and Pre-Algebra.
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The lesson on mixed numbers first shows that a whole number can be divided into equal parts, and then shows how one more of that fractional part is added to the whole to make the mixed number. It's a very effective way to teach the concept of mixed numbers. It also shows the power of the Brick Math program, which makes math concepts visual and tactile so all students can learn them.

If you are a math teacher or a parent with a student at home who is learning K-8th grade math, check brickmath.com. The website includes videos for both teacher training and direct instruction of students. You can learn more about how Brick Math improves students' math test scores and hear what people who are using Brick Math have to say about the program. ​

This is the time of year schools start planning for their summer programs. We’ve been busy lately, responding to school districts planning to use the Brick Math curriculum this summer. 

Brick Math offers free curricula of summer programs for each of the 11 subject areas for schools who choose Brick Math as their summer school curriculum. These programs can be easily adapted to your school’s schedule. To view a sample of Brick Math’s summer program, click here. The sample shows Day 1 of a 12-day summer program for Basic Fractions.

Brick Math has been shown to increase students’ test scores significantly. Students gain a real understanding of the reasons why behind the math when they learn with Brick Math. 

Please call 802-751-8002 or email us if you'd like to learn more about how to use Brick Math in your school's summer program.

February's Lesson of the Month is on multiplying unit fractions by fractions. Unit fractions are those that have a 1 in the numerator. This lesson shows how to model the multiplication of any unit fraction by any other fraction. It's key to understanding what it actually means to multiply fractions together. The lesson is from Brick Math's Fraction Multiplication Using LEGO® Bricks.
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The lesson starts with a discussion of the term unit fraction, along with a discussion about how to determine which unit fraction is largest: 1/2, 1/3, or 1/4. The lesson then moves on to modeling two multiplication problems.

Most 4th - 6th grade math teachers would agree that multiplying and dividing fractions is a very tricky subject for students to understand. The methods in Brick Math help make clear to students what is actually happening when two fractions are multiplied together -- not simply the process of multiplying the numerators and denominators together. This kind of deep understanding gives students a strong foundation in math that they can build on as they progress into middle school math and beyond.

Brick Math is a K-6 math curriculum that uses LEGO® bricks to model  11 different math subjects: Counting, Addition, Subtraction, Multiplication, Division, Basic Fractions,   Basic Measurement, Fraction Multiplication, Fraction Division, Advanced Measurement and Geometry, and Decimals. This year, the program will expand to include grades 6 - 8, with the additional subjects Data and Statistics, Pre-Algebra, and Ratios and Proportions. Brick Math works in many applications: for homeschooling, math intervention, enrichment, and as a whole-school program. Materials are simple and affordable.
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If you are a math teacher or a parent with a student at home who is learning K - 6th grade math, check brickmath.com. The website includes videos for both teacher training and direct instruction of students. You can learn more about how Brick Math improves students' math test scores and hear what people who are using Brick Math have to say about the program. ​

To celebrate "The Year of Brick Math," we're adding a new feature to the free Brick Math Lesson of the Month -- video! Dr. Shirley Disseler, author of the Brick Math curriculum, demonstrates the April 2021 lesson in a five-minute video that shows the concepts for comparing and ordering 3 fractions with unlike denominators. 

To get the April 2021 lesson, "Comparing and Ordering Fractions," and a link to the video lesson, plus a new lesson each month, sign up here.

Elementary school math teachers know how tricky this skill can be for students to comprehend. When they look at the fractions 1/2, 3/8, and 3/4, many students will think that 3/8 is the biggest fraction of the three, since the denominator is the largest number. This lesson demonstrates the "fraction train" method of finding a common denominator using LEGO bricks to build the fraction models and model the equivalent fractions.

This lesson is from Chapter 7 of Basic Fractions Using LEGO Bricks in the Brick Math series. Students typically learn this skill in grades 3 - 4. Modeling the math with bricks makes it easy to learn. Try the free lesson with your students to see how much fun it is to learn with Brick Math!

Brick Math is a K-6 math curriculum that uses LEGO® bricks to model  11 different math subjects: 
Counting, Addition, Subtraction, Multiplication, Division, Basic Fractions,   Basic Measurement, Fraction Multiplication, Fraction Division, Advanced Measurement and Geometry, and Decimals. It works well for homeschooling, math intervention, enrichment, and as a whole-school program. Materials are simple and are not shared between students. It adapts easily to online instruction.

This lesson teaches students about the factors of 16. ​To get the March 2021 lesson, and a new lesson each month, sign up here.

This might be my favorite lesson in the entire Brick Math curriculum, because it does so many things so well:

​I use this lesson often when I’m demonstrating how well Brick Math works as a complete learning solution for elementary math. It always helps someone new to the program understand how effective the Brick Math methods are.
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Try the lesson with your student(s) today to demonstrate factors. The first two pages are from the Teacher Lesson Guide. The next two pages are for the student to use as they learn. There is a baseplate on the last page where the student can draw his/her final model of the factors of 16, plus space to list all the factors of 16. We guarantee they will have that “aha” moment when you teach factors this way!

It’s been well established that fractions are tough for many students to learn. And it’s also clear that fractions are a very important building block for learning the higher-level math that follows, including decimals, ratios, and algebra. So we need a learning system that helps students achieve a deep understanding of fractions, not simply a regurgitation of some formulas or tricks. Luckily, Brick Math: Teaching Math Using LEGO Bricks includes techniques that really work when teaching students what fractions are all about.
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Here are four ways you can make it easier to learn fractions  (all the illustrations and techniques here are from Brick Math's Basic Fractions Using LEGO Bricks–Teacher Edition):

1. Math is conceptual, so a student first needs to understand the idea of a fraction. The best way to learn that is by providing a visual presentation of a fraction. Brick Math, which teaches math using LEGO bricks as the modeling tool, is the perfect way to show what fractions are. A 1x1 brick next to a 1x2 brick clearly represents a fraction of 1/2. A LEGO brick with 2 studs next to a brick with 4 studs? Clearly showing 2/4. A four-stud brick next to an 8-stud brick models 4/8 without question. The studs on a brick are easy to count, even for young learners, and there is no mistaking the fraction that the bricks are showing. 

2. Fractions refer to parts of a whole, but the whole must be defined clearly to understand the size of the fraction. The techniques used in Brick Math work well to clarify the concept of the whole. If the whole is 8, the brick that represents ½ of that whole has 4 studs. But if the whole is 6, the brick that represents ½ of that whole has 3 studs. LEGO bricks demonstrate this idea clearly.

4. It can be hard to understand how to put fractions in order. What’s bigger: 2/3 or ¾? That question becomes easy to answer using the Brick Math technique called the “fraction train.” That’s a way of modeling equivalent fractions with common denominators to visually demonstrate which fraction is larger. (Spoiler alert: ¾ is larger, because it is equivalent to 9/12, while 2/3 is equivalent to 8/12.) 

​There’s so much that’s hard about learning fractions. Brick Math makes the learning process easier so students can develop deep understanding of the math. That’s the key to future math success. 

Brick Math is a K-6 math curriculum that works for all students, whether they are in a classroom or learning at home one-on-one. If you have a student at home who is learning math, check brickmath.com. The website includes videos for both teacher/parent training and direct instruction of students. You can learn more about how Brick Math improves student math test scores and hear what people who are using Brick Math have to say about the program. 
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If you are a teacher, check brickmath.com to learn how the curriculum can work in your classroom, whether it's in person, virtual, or hybrid.

Brick Math is a K-6 math curriculum that uses LEGO® bricks to model 11 different math subjects: Counting, Addition, Subtraction, Multiplication, Division, Basic Fractions, Basic Measurement, Fraction Multiplication, Fraction Division, Advanced Measurement and Geometry, and Decimals. It works well for math intervention, for enrichment, and as a whole-school program. Materials are simple and need not be shared between students. It adapts easily to online instruction.
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Contact us with any questions.

I recently had a customer tell me that her son didn’t understand the idea of factors until she tried Brick Math. When he saw the concept of factors made real with LEGO bricks, she said, he knew what they were! It’s exciting to hear when students finally “get it” because modeling with bricks makes all the difference for them.
 
I started to think about that lesson on factors, and I realized it is the perfect way to demonstrate the power of Brick Math as a learning system. Here’s why Brick Math works so well to teach elementary math: it’s tactile (kids touch the bricks and build the models themselves), it’s visual (kids can see exactly what the numbers in a math problem represent), and it’s conceptual (kids understand the underlying idea behind the math when they discover it for themselves in a guided program).

Let me show you how Brick Math works with that lesson on factors:
 
This lesson models all the factors of 16 and demonstrates perfectly the meaning of “factor." Like all Brick Math lessons, it starts with some basic bricks and a baseplate to build on. Begin by placing one brick that has 16 studs on the baseplate (studs are the bumps on LEGO bricks). This can be a 2x8 brick or a 1x16 brick.The model shows 1 brick with 16 studs, so the multiplication fact shown is 1 x 16 = 16. 16 and 1 are factors of 16.

​Next, take two bricks that each have 8 studs and place them next to the brick that’s already on the baseplate. It’s best if those two bricks are two different colors. You’ll use either two 2x4 bricks or two 1x8 bricks. Now the model shows 2 (bricks) x 8 (studs) = 16, and that 2 and 8 are also factors of 16.
 
Now, here’s where the Brick Math program really becomes a powerful learning tool. For the next step, ask the student, “Are there 3 bricks that are all the same size that you can use to build the next row?” Let your students try with different bricks. They will demonstrate to themselves that there are none, so 3 can’t be a factor of 16. It’s so important that students discover for themselves while they are learning. That’s what helps them internalize what the math is all about.
 
When they move on to looking for 4 bricks, they’ll find that four 2x2 bricks or 1x4 bricks do the trick. Now, they have 4 (bricks) x 4 (studs) = 16, so 4 is another factor of 16.

​Dr. Shirley Disseler, developer of the Brick Math method, demonstrates this same lesson in the video below. 

​The concept of factors is key to learning multiplication, division, and fractions, so it’s in all three of the Brick Math books on those subjects: Multiplication, Division, and Basic Fractions. And it (almost) goes without saying: students have fun while they learn!

Whether you're back to school in person or online, or some combination of the two, this free Brick Math Lesson of the Month is a great way to help  students learn math. For September, it's a lesson from Fraction Multiplication Using LEGO® Bricks that shows how the commutative property works when multiplying fractions. Students typically learn about multiplying fractions in grades 4 - 6, but it is sometimes part of the curriculum when students are learning about fractions in grades 2 - 3.

To get the free Lesson of the Month for September 2020, click here.

Students should already understand that a x b = b x a (see Multiplication Using LEGO® Bricks, chapter 5). Now it's time for them to learn that the same commutative property holds when multiplying fractions. This lesson makes it clear to students by using bricks one way to model 1/2 x 6, and a different way to model 6 x 1/2. In both cases, the answer, 3,  is the same.

​This lesson also shows how the two number sentences are used to describe different real-life situations: 1/2 x 6 means "one-half of six," while 6 x 1/2 means "six sets of one-half." So in real-life usage, 1/2 x 6 could describe "half of the six crayons in the box, or three crayons." And 6 x 1/2 could describe "six half-pizzas, or three whole pizzas." Using bricks to model these two scenarios really helps students understand the math.

The concept of Least Common Denominator (LCD) is key to being able to add and subtract with fractions that have unlike denominators or compare the size of different fractions. It's essential for students to thoroughly grasp the idea, and until they do so, they can't move forward with fractions.
Modeling with LEGO bricks is the perfect way to teach students how to find the least common denominator. This method from Brick Math, called the "Fraction Train," starts with concrete representation of the math problem using bricks, to teach students exactly where the idea of a common denominator comes from.
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1. Start by explaining that the process for finding Least Common Denominator with bricks is called the "Fraction Train." Have students build brick models of 2/3 and 3/4. Label them Fraction 1 and Fraction 2.
2. Discuss the value of the numerators and the denominators of 2/3 and 3/4. Ask students if the wholes are the same, and if not, which whole is larger? Explain that you will be finding the Least Common Denominator so you can compare the fractions.

3. Place one 1x3 brick on the baseplate, showing the denominator of Fraction 1, and under that, a 1x4 brick showing the denominator of Fraction 2.
Now it's time to start building your "fraction train." You'll be building out a train of bricks that makes a rectangle.

Add enough 1x3 bricks to the top row, and enough 1x4 bricks to the bottom row, until both rows are the same length and the bricks form a rectangle. Count the studs in each row (12) to find the Least Common Denominator—the smallest number that both denominators can divide into evenly.
Discuss the fact that 12 is also the equivalent whole for both fractions 2/3 and 3/4.

4. Now it's time to build the equivalent fractions for 2/3 and 3/4, using the Least Common Denominator of 12.
Place two 1x12 bricks on the baseplate to represent the LCD of 12 for each fraction.

5. Look at the fraction train again. There are 4 bricks in the top row of the fraction train. This shows the number of 1x2 bricks (from the numerator of Fraction 1) that will model the numerator of the equivalent fraction.  Count the studs in the numerator (8) and the denominator (12) . This shows that the equivalent fraction for 2/3 is 8/12. 

​6. Repeat the process for Fraction 2. Count the studs on the model of the numerator (9) and on the denominator (12). The equivalent fraction for 3/4 is 9/12.
7. Now the equivalent fractions can be compared, since they both have the same denominator. Have students look at the numerators of each fraction and determine which fraction is larger, based on having the larger number of studs in the numerator. Extend the learning by having students draw their models. Have them write a math sentence that compares the two fractions (2/3 <3/4 because 8/12 < 9/12).

This lesson from Brick Math's Basic Fractions Using LEGO® Bricks is available FREE as the Brick Math Lesson of the Month for March 2020. Click HERE to sign up for the lesson, including Student Workbook pages.