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can start to be developed at a very early age. Here is a quick guide or cheat sheet that home schoolers and parents can use that shows what math skills to work on based on your childs age.

Count to 5.
Put objects in order by size.
Sort objects by shape and color.
Learn the meaning of math vocabulary words, such as: big, small, large, tiny, round, etc.
Learn to respond to math vocabulary commands such as: “Give me some pennies.” “Give me more pennies.” “Give me fewer pennies.” “Put the penny (in, above, below, beside, inside, outside, underneath, over) the glass.” “Put the penny between the glasses.”
Learn concepts about volume by playing with rice or sand and various kinds of containers.
Learn concepts about volume by playing with water and various kinds of containers.

Count to 10, then 25.
Learn to match objects one to one (one to one correspondence).
Learn the names of a circle, square, triangle, and rectangle.
Sort objects by shape and color.
Put objects in order by height.
Learn to recognize a penny and a dime.
Learn to recognize numbers from 1 to 10, then up to 25 (use flashcards).
Learn to write numbers 1-12 starting at age 5. (Some children have trouble with 2, 3, 8, and 9 and may reverse them for a while. This is normal.)
Learn to match the correct number of objects to numbers up to 12.
Learn to respond to math commands, such as: “Put the penny (in front of, behind) the cup.” “Put some water in this bowl. Put less water in this bowl.” “Put more water in this bowl.” “Put the string around the cup.” “Put the penny first in line. Put the dime second in line.” “Put the pennies first and second in line. Put the dime third.” Put the pennies first, second, and third. Now put the dime fourth.” “Point to the second (or sixth, or eighth, or tenth) penny (in a line).”
Learn concepts about volume by playing with rice or sand and various kinds of containers.
Learn concepts about volume by playing with water and various kinds of containers.
Pick a shape that is different out from a group of other shapes.
Pick all the shapes that are the same out from a group of shapes.
Pick a number that is different out from a group of other numbers.
Pick all the numbers that are the same out from a group of numbers.
Find “hidden pictures” in a background picture.
Find your way through a maze (on paper).
Create a simple pattern using two or more colors.
Create a pattern using two colors and one or two shapes.

Learn to count to 100, then 500.
Learn to count backwards from 10 to 1, then 20 to 1.
Learn to “count on,” i.e.; give the child a number and he or she must count on from that number. For example: Give “33.” The child should say, 34, 35, 36, 37, etc.
Learn the concept, name, and symbol for 0.
Learn to write numbers 0-100.
Learn to recognize number names (printed) 0 to ten.
Learn the signs: plus (add) minus (take away, subtract), and equals (equal to, equal).
Learn to add numbers to 10, then 20 using manipulatives. Later, memorize the facts.
Learn to subtract numbers from 10, then 20 using manipulatives. Later, memorize the facts.
Learn to skip count by 10s and 5s. (5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, etc.)
Learn to solve simple word problems up to 20.
Learn the sign X (i.e.; times).
Learn to multiply numbers: 2s, 1s, 10s, 5s, 0s (in that order) using manipulatives.
Learn place value for ones and tens.
Learn to recognize the nickel, quarter, half dollar, dollar bill.
Learn the worth of each coin and bill.
Learn to add money.
Learn the names of the hour, minute, and second hands on a clock.
Learn how many minutes in an hour, half, and quarter hour.
Learn to tell time on a manual (not digital) clock.
Learn to solve simple word problems about money.
Learn to solve simple word problems about time.
Learn fractions: one-half.

Learn to count to 1,000.
Learn to skip count by 2s, 3s, 100s, and 1,000s.
Learn place value for tens, hundreds, thousands, ten-thousands, etc.
Learn to add numbers in two, then three, four, and five places (i.e.; 25, 693, 3,089), without carrying over (regrouping) and then with carrying over (regrouping).
Learn to subtract numbers in two, then three, four, and five places (i.e.; 42, 978, 1576), without borrowing (regrouping) and then with borrowing (regrouping).
Learn the multiplication tables 0-12 using manipulatives.
Memorize the multiplication tables.
Learn to divide using manipulatives.
Learn the signs for division.
Learn to divide using the multiplication tables. For example: 6 X 8 = 48. 48 / 8 = 6  and 48 / 6 = 8
Learn to subtract money.
Learn to make change.
Learn to solve word problems about money.
Learn to solve word problems about time, including days, months, and years.
Learn measurement (English/American and metric): linear.
Learn fractions: all types, adding, subtracting, multiplying, and dividing.
Learn decimals.
Learn simple percentages: 10%, 50%, 25%.

Continue learning fractions.
Continue learning decimals.
Learn percentages.
Learn measurement (English/American and metric): volume.
Begin simple algebra.
Begin simple geometry.
Learn to solve word problems with two or three steps.

Algebra
Geometry
Trigonometry
Learn to solve word problems with many steps.
Calculus
Consumer Math (Computing interest, tax, comparing prices, etc.).

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With the new school year peeking around the corner, parents throughout the DFW Metroplex are faced with the important task of finding the best possible school and care for their children for the upcoming year. Castle Montessori Schools in Carrollton, Flower Mound, Frisco, and McKinney offer a superb education and the most beautiful, modern facilities available in North Texas.

As a mother, Castle Montessori founder and Head of School, Varsha Patel, is well-aware of the anxiety that children and their parents can face when beginning at a new school.  Because of that understanding, she is fully committed to making the transition period into her schools an enjoyable and stress-free time.  She does this by offering newly enrolled families a unique, two-week transition period whereby parents can bring their child into the school for as little as a few minutes or as long as several hours so that both parent and child can gradually adjust to the new school environment.

“It’s highly important to me that there is a deep sense of happiness and security here. I want the child to be familiar with their surroundings, be acquainted with the people who care for them and to look forward to coming to school. If they have these feelings before their true “first day of school” I believe and have personally seen that it will set the foundation for an exceptional school experience thereafter,” Patel said. 

Patel and her team of dedicated teachers and administrators have set the standard in the area when it comes to providing a top-notch education for young children.  Each school campus was built featuring state-of-the-art computer labs, indoor gymnasiums, outdoor playgrounds with upgraded play structures, music rooms with a baby grand piano and closed-circuit monitoring security systems.

Patel says the lifework of the famous Italian educator Dr. Maria Montessori is the basis of every aspect of her program.

 ”We firmly believe in Dr. Montessori’s methods and have seen firsthand how important it is to teach the child what he or she is ready to learn in a timeframe when he or she is ready to learn it,” Patel said.  

 ”Dr. Maria Montessori dedicated her life’s work to helping children discover and nurture their potential, and through my schools I hope children gain a sense of community, a culture of respect, choice, and independence. I love the fact that in each of my schools we have created a place where children feel successful, at peace, and are actively engaged in purposeful and focused learning,” Patel added.

Patel has been successful in staffing the schools with experienced lead teachers (Directresses) certified by the American Montessori Society (AMS), Association Montessori Internationale (AMI) and Montessori Accreditation Council for Teacher Education (MACTE).

She requires each staff member to complete extensive educational training and each school holds membership in the prestigious American Montessori Society (AMS), ensuring their on-going commitment to Montessori methods and philosophy.

According to Patel, in theCastleMontessoriSchoolcurriculum, concepts and skills are learned and reinforced through the use of materials and recurring themes.

“Teachers at each level in the school review and integrate the preceding level’s lessons when presenting new material, and in that way, children are challenged and encouraged to move at their own pace,” Patel said.

“This is certainly different from what you find in more conventional schools where the entire classroom of students do the same work at the same time, where specific skills and concepts are taught in isolation, and limited to a specific grade level,” Patel added.  

Upon entering a Castle Montessori classroom or “children’s house” as Dr. Montessori referred to the educational spaces, it is evident the entire environment is based on the needs and interests of children. All furniture and materials are scaled for the children and a distinct sense of order and beauty is prevalent in each classroom.

Classrooms contain areas of language arts, art, math, geometry, cultural, geography, science, and practical life materials designed to foster each stage of learning.

Castle Montessori schools offer year-round programs for children ages 12 months to 3rd grade, before and after-school care, nature study, music programs, computer programs, two foreign language programs as well as optional dance, martial arts, foreign language and drama programs.

“Because I’ve lived through the experience of looking for good schools, I want parents to know I am committed to providing a safe, nurturing, educational environment for their children, and that I am personally there in my schools. We are not a corporate daycare where each child is simply an account number,” Patel said.

 ”We personally know the children and parents, and care about their lives,” she added.

 ”I love visiting with families and sharing my dream of what is possible in each school” Patel said.

Patel and her staff welcome visitors for school tours daily with or without an appointment. For more information, visit www.CastleMontessori.com