Basic Math

(two-semester course)

Basic Math course is part of the Classic Math School Program. This course does not have any prerequisites and is intended for students from K to 3rd grade. The scope and depth of the course may vary significantly depending on the actual students’ level and duration of the course.

Interactive Basic Math course is designed to be taught in a small group setting using a variety of instructional methods and materials. Hands-on activities, math games and puzzles form an integral part of each class session to enhance students’ understanding and retention.

The topics and problems that are studied in Advanced Counting course may include:

1.      Whole numbers. Comparing and ordering whole numbers using symbols <, >, = .

2.      Counting, reading, and writing whole numbers, identifying the place value of each digit.

3.      Even and odd numbers.

4.      Counting by “2-s”, “3-s”, “5-s”, “10-s” forward and backward.

5.      Adding and subtracting whole numbers. Column addition of whole numbers with carrying over. Column subtraction of whole numbers with regrouping (borrowing). Inverse relationship between addition and subtraction.

6.      Commutative and associative property of addition. “Compatible numbers”. Mental math techniques and strategies.

7.      Rounding. Estimation of sum and difference as an essential part of computation.

8.      Solving and making up word problems that involve addition and subtraction of whole numbers.

9.      Identifying the value of coins and finding different combinations of coins that equal the same value. Solving problems involving combinations of coins and bills.

10.  Understanding the concept of time, using different types of clocks and calendars. Relating time to the events (before/after, shorter/longer).

11.  Introduction to the concept of multiplication and division of whole numbers. Understanding of multiplication as a repetitive addition and division as a repetitive subtraction. Inverse relationship between multiplication and division.

12.  Table of multiplication.

13.  Column multiplication by one-digit multiplier with carrying.

14.  Understanding the special properties of 0 and 1 in multiplication and division.

15.  Commutative and associative property of multiplication. Mental math techniques and strategies. Estimation of products and quotients as an essential part of computation.

16.  Arithmetic expressions. Order of operations. Evaluating long arithmetic expressions step by step using the chain of equal signs.

17.  Solving and making up word problems leading to multiplication and division.

18.  Introduction to the concept of fractions. Understanding fraction as part of a whole or part of a set.

19.  Equivalent fractions. Comparing fractions having the same denominators. Comparing fractions having the same numerators.

20.  Identifying, describing, and comparing triangles, rectangles, squares, circles, including the faces of three-dimensional objects.

21.  Introduction to the concepts of perimeter and area. Calculating the perimeter and area of rectangles, squares, some triangles, and some complex shapes.

22.  Introduction to the concepts of measurement. Measuring length, area, and volume in both traditional and metric systems.

23.  Describing and extending simple patterns of numbers, symbols, and geometric figures.

24.  Solving logic problems by justifying and articulating the reasons.