Premium Montessori Cut-Out Fraction Circles – 11 to 20 Equal Parts, Solid Beechwood Advanced Fraction Insets, Wooden Math Manipulative for Fraction Concepts, Homeschool Classroom Kids Ages 6-12

penepico Montessori Cut-Out Fraction Circles – 11 to 20 Equal Parts Dividing a circle into 11-20 equal parts 🌿 Extending Fraction Knowledge into Advanced Territory In the Montessori mathematics curriculum, fraction work begins with the familiar halves, thirds, and fourths. But true mathematical understanding requires exploring beyond these comfortable boundaries. This Cut-Out Fraction Circles set extends the concept of fractions from 1/11 to 1/20 , challenging children to apply their fraction knowledge to unfamiliar territory. This essential Montessori material is known by many names in classrooms and educational catalogs: · Cut-Out Labeled Fraction Circles (11-20) · Advanced Fraction Insets · Fraction Segments Set · Montessori Fraction Circles – 11 to 20 · Fraction Extension Material Complete Set Contents: · 10 Fraction Values: 11ths through 20ths · 5 Complete Circles per Value: Each compartment contains enough segments to make 5 complete circles · Total Segments: For 11ths: 55 segments; for 12ths: 60 segments; for 13ths: 65 segments; and so on through 20ths · Storage: Beautiful solid beechwood and MDF box with 10 individual compartments and fitted lid · Dimensions: 31 x 20 x 4 cm (12.2 x 7.9 x 1.6 inches) · Weight: 0.7 kg (1.5 lbs) All segments are the same color – typically red or natural wood – so that children focus on the size and shape difference of each proportion, not distracted by color variations. “The child's mind is not a vase to be filled, but a fire to be kindled.” — Dr. Maria Montessori How Children Work with These Fraction Circles Stage 1 – Introduction to New Fractions (Ages 6-7): Begin by presenting one unfamiliar fraction, such as 11ths. Remove all 55 segments from the 11ths compartment. Invite the child to explore – they will notice that these segments are smaller than tenths they've worked with before. Show how 11 segments fit together to form one complete circle. Count together: "1/11, 2/11, 3/11... 11/11 makes one whole." Stage 2 – Comparing Fractions (Ages 6-8): Place two different fraction values side by side – for example, 11ths and 12ths. Ask the child: "Which is larger, 1/11 or 1/12?" By comparing single segments, they discover that 1/11 is larger than 1/12 because it takes fewer pieces to make a whole. This visual comparison builds deep understanding of fraction magnitude. Stage 3 – Discovering Equivalence (Ages 7-9): Challenge the child to find fractions that are equivalent. They might discover that 2/12 equals 1/6 (if they have sixths available), or that 3/15 equals 1/5. This hands-on exploration of equivalence prepares for abstract fraction operations. Stage 4 – Building Fraction Families (Ages 7-9): Invite the child to build all the different ways to make one whole using combinations of different fractions. For example, can they make a whole circle using 1/3 + 1/4 + ? This develops flexible thinking about fractions. Stage 5 – Operations with Fractions (Ages 8-10): Once children are comfortable with equivalence, they can explore addition and subtraction with unlike denominators. For example: 2/11 + 3/11 = 5/11 (same denominator) leads to 1/3 + 1/4 = ? requiring conversion to a common denominator. What Children Learn Through This Material Advanced Fraction Recognition: · Identify fractions from 1/11 to 1/20 by sight and touch · Understand that fractions continue infinitely beyond familiar boundaries Comparative Reasoning: · Compare fractions with different denominators visually · Understand that larger denominators mean smaller pieces (when numerators are the same) Equivalence: · Discover that different fractions can represent the same amount · Build foundation for finding common denominators Proportional Thinking: · Develop intuition about how fractions relate to each other · Prepare for ratios, proportions, and percentages Operations Readiness: · Concrete foundation for addition and subtraction of fractions · Visual understanding of why common denominators are needed Concentration & Independence: · Self-correcting design allows solo exploration · Organized compartments build responsibility Where This Material Belongs Montessori Homeschool: A core math material for upper elementary years. The compact box stores easily and provides years of advanced fraction exploration. Elementary Classrooms: Essential for grades 3-6 math shelves. Perfect for children who have mastered basic fractions and are ready for extension. Math Intervention: Trusted by tutors and educational therapists for children who need concrete support with fraction concepts. Gift Giving: A beautiful, heirloom-quality educational gift for children who love math or need support with advanced fraction concepts. Why Choose This Advanced Fraction Circles Set? · Complete 11-20 set – extends fraction knowledge beyond the basics · 5 full circles per value – ample pieces for multiple children or complex work · Premium wooden storage box – durable, organized, beautiful · Uniform color – focuses attention on size and proportion · Self-correcting – builds independence and confidence · Classroom-proven – used in Montessori schools worldwide · Heirloom quality – will serve generations of learners penepico – Authentic Montessori Materials, Crafted for Generations.

• 1. 🧩 Complete Advanced Fraction Set – 11-20 Equal Parts with Wooden Box: This premium Montessori math material includes 5 complete sets of fraction circles for each value from 1/11 to 1/20 – a total of 50 circles with all their fractional segments . Also known as Cut-Out Labeled Fraction Circles, Advanced Fraction Insets, or Fraction Segments Set. Each compartment contains enough segments to make 5 complete circles (e.g., 55 eleventh-segments, 50 twelfth-segments, etc.). Perfect for children ages 6-12 exploring advanced fraction concepts, equivalence, and operations.
• 2. 🖐️ “The hands are the instruments of man's intelligence.” – Dr. Maria Montessori: This material isolates the concept of fractions for advanced exploration . Children physically manipulate the segments, discovering that 1/11 is smaller than 1/10, that 2/12 equals 1/6, and that fractions beyond the familiar tenths follow the same mathematical rules. The uniform color of all segments helps children focus on size and shape differences rather than color distractions – pure sensorial exploration of fractional proportions.
• 3. 🧠 What Kids Learn – Advanced Fractions, Equivalence & Proportional Reasoning: Through work with these fraction circles, children master essential advanced math concepts. They extend their fraction knowledge beyond the familiar tenths to twentieths. They discover equivalence relationships among unfamiliar fractions. They learn to compare fractions with different denominators, find common denominators, and perform operations with advanced fractions. This material bridges concrete manipulation and abstract understanding of fractions, preparing children for algebra and higher mathematics.
• 4. 🏡 Premium Wooden Construction with 10-Compartment Box: All fraction segments are precision-crafted from durable material with smooth, child-safe finish. The set comes neatly organized in a beautiful solid beechwood and MDF box with 10 individual compartments and a fitted lid . Each compartment contains all segments needed for one fraction value (11ths through 20ths). Box dimensions: 31 x 20 x 4 cm (12.2 x 7.9 x 1.6 inches). Total weight: 0.7 kg (1.5 lbs). Designed to withstand decades of classroom and homeschool use.
• 5. 🎁 Essential for Every Learning Environment – Homeschool & Classroom: A core Montessori math material for upper elementary-aged children (6-12 years) . Perfect for homeschool curriculum, Montessori classrooms, math centers, and advanced fraction studies. Ideal for individual work, small group lessons, and teacher-led presentations. Children progress from simple fraction recognition to complex operations with unlike denominators. An exceptional birthday gift, Christmas present, or holiday surprise for kids ready to explore beyond basic fractions.
• 6. 🤝 Self-Correcting & Independence-Building Design: The visual nature of the fraction circles provides natural control of error – children see immediately when segments don't form a complete circle or when equivalent fractions match in size . The organized compartments encourage independence in returning materials. Builds patience, attention to detail, analytical thinking, and quiet confidence. Trusted by Montessori teachers, math specialists, and parents worldwide for developing deep fraction understanding.