Teaching Arithmetic, Algebra, and Operations with Decimals Montessori Course For Upper Elementary 9-12

Montessori teaching emphasizes the importance of hands-on learning and students exploring concepts on their own. In arithmetic, Montessori materials such as the Montessori bead chains and number rods help students understand place value and basic operations. Algebra is introduced early on through the use of the “golden bead” material which helps students understand numerical relationships and begin solving equations.

Operations with decimals are also explored using Montessori materials such as the decimal checkerboard and bead frame. Students are encouraged to work at their own pace and develop a deep understanding of mathematical concepts through independent exploration.

Implementing hands-on Montessori math activities in an elementary classroom can greatly enhance students’ understanding and engagement with mathematical concepts. Using manipulatives such as Montessori beads, binomial and trinomial cubes, and multiplication and division boards, students can physically see and manipulate numbers and operations.

This approach encourages active learning and helps students develop a deeper mathematical sense. Additionally, using Montessori math materials gives students the opportunity to work independently and at their own pace, fostering a sense of autonomy and mastery over mathematical concepts. Overall, hands-on Montessori math can be a valuable addition to any elementary classroom.

Animals and their homes montessori nature sort matching free printables sign up

Montessori-style algebra is a hands-on approach that focuses on using manipulatives and visual aids to help students understand abstract mathematical concepts. The goal is to create a concrete understanding of algebraic expressions, equations, and operations through physical activities such as using algebraic tiles or 3D models.

This approach allows for individualized learning and encourages problem-solving and critical-thinking skills. By engaging different senses and learning styles, students can gain a deeper understanding of algebra and build a strong foundation for further mathematical study.

Montessori upper elementary math curriculum is designed to provide a concrete understanding of mathematical concepts through activities and manipulatives. The curriculum covers operations with whole numbers, decimals, fractions, and percentages, as well as geometry, algebra, and measurement. Students work on long division, multiplication, and solving algebraic equations with varying difficulty levels.

The curriculum also includes real-world applications of these concepts, such as budgeting and calculating distances. Through these activities, Montessori upper elementary students develop critical thinking, problem-solving, and analytical skills that prepare them for higher mathematics and other academic subjects.

Montessori upper elementary students continue to refine their math skills by working on arithmetic and algebra with a focus on operations with decimals. They use concrete materials to understand multiplication and division with decimals and learn the properties of operations with decimals. They explore algebraic expressions using letters to represent unknown quantities and solve equations with decimals.

Additionally, they build problem-solving skills by working on word problems involving decimals and applying mathematical concepts to real-life situations. These activities help students develop a strong foundation in math and prepare them for more advanced topics in middle and high school.

Upper Elementary Advanced Math lessons reflect the beauty of the Montessori philosophy in how to spiral it becomes. Most of the sensorial materials that they worked with in the casa (3-6), now make even more sense when they learn that what they practiced unconsciously as puzzles are the formulas of Algebraic expressions, squaring, and cubing.

This course by Montessori Tube Academy is divided into 10 modules that you can access through an annual pass or three months pass. The annual pass saves you 50% and gives you two annual Zoom sessions with the Instructional Guide. During these sessions, you can ask any questions related to the lessons, have a lesson presented to you in a one-on-one, or present to the child. This is only available for the annual pass members. Printables are included with most of the modules. Click here to learn more about this course and the modules included.

Arithmetic, Algebra, and Operations with Decimals Course (Upper Elementary 9-12)

Montessori curriculum Courses for educators and parents you might enjoy


About Anastasia - Anastasia is an early childhood teacher and the founder of Montessori Nature - a blog about Montessori living and learning and nature-based explorations. With many years of experience working in a Montessori environment and homeschooling her children, she directed her passion for all things Montessori and nature into creating educational resources. You can learn more here and browse her printables on Teachers Pay Teachers.