- Beginner
- Intemediate
- Advanced
- Master

Classover’s beginner mathematics course mainly develops students’ perception of numbers and cultivates logical thinking ability.

1. Counting to 5

Module 1 capitalizes on the energy and excitement young students have as they enter their first day of Pre-K by providing a playful and active, yet carefully sequenced structure through which children progress.

2. Shapes

In Module 2, children learn to identify, describe, sort, compare, and create two-dimensional and three-dimensional shapes and objects.

3. Counting to 10

Module 3 challenges students to build on their work with numbers through 5 to make sense of and count groups of 0, 6, 7, 8, 9, and 10 objects.

4. Comparison of Length, Weight, Capacity, and Numbers to 5

Students identify measurable attributes of objects in terms of length, weight, and capacity.

5. Addition and Subtraction Stories and Counting to 20

In Module 5, children transition from the comparative concept of more to the concept of addition.

6. Numbers to 10

In this module, daily fluency activities with concentration and emphasis on counting are integrated throughout the concept development.

7. Two-Dimensional and ThreeDimensional Shapes

In this module, students seek out flat and solid shapes in their world.

8. Comparison of Length, Weight, Capacity, and Numbers to 10

Students now compare and analyze length, weight, capacity, and finally, numbers in this module.

9. Number Pairs, Addition and Subtraction to 10

Students begin to harness their practiced counting abilities, knowledge of the value of numbers, and work with embedded numbers to reason about and solve addition and subtraction expressions and equations.

10. Numbers 10–20 and Counting to 100

Students learn to clarify the meaning of the 10 ones and some ones within a teen number and extend that understanding to count to 100.

11. Analyzing, Comparing, and Composing Shapes

Students further develop their spatial reasoning skills and begin laying the groundwork for an understanding of area through composition of geometric figures.

Classover’s intermediate mathematics course learns the decomposition method of mathematics through the operation of learning tools, and understands the decomposition law of numbers.

1. Sums and Differences to 10

Students make significant progress towards fluency with addition and subtraction of numbers to 10 and to decomposing and composing addends and total amounts.

2. Introduction to Place Value Through Addition and Subtraction Within 20

This module serves as a bridge from problem solving within 10 to work within 100 as students begin to solve addition and subtraction problems involving teen numbers.

3. Ordering and Comparing Length Measurements as Numbers

Experiences with direct length comparison to the new learning of indirect comparison whereby the length of one object is used to compare the lengths of two other objects

4. Place Value, Comparison, Addition and Subtraction to 40

Focusing on the role of place value in the addition and subtraction of numbers to 40

5. Identifying, Composing, and Partitioning Shapes

Students continue daily fluency with addition and subtraction

6. Place Value, Comparison, Addition and Subtraction to 100

Students extend their understanding of and skill with tens and ones to numbers to 100

7. Sums and Differences to 100

Fluently add one-digit to two-digit numbers at least through 100 using place value understanding, properties of operations, and the relationship between addition and subtraction

8. Addition and Subtraction of Length Units

Students engage in activities designed to deepen their conceptual understanding of measurement and to relate addition and subtraction to length.

9. Place Value, Counting, and Comparison of Numbers to 1,000

In this module instruction includes a great deal of counting: by ones, tens, and hundreds.

10. Addition and Subtraction Within 200 with Word Problems to 100

Immersed in the base ten system as they built a strong foundation of place value understanding through a concrete to pictorial to abstract approach.

11. Addition and Subtraction Within 1,000 with Word Problems to 100

Build upon their mastery of renaming place value units and extend their work with conceptual understanding of the addition and subtraction algorithms to numbers within 1,000, always with the option of modeling with materials or drawings.

12. Foundations of Multiplication and Division

Lays the conceptual foundation for multiplication and division

13. Problem Solving with Length, Money, and Data

Presents an opportunity for students to practice addition and subtraction strategies within 100 and problem-solving skills as they learn to work with various types of units within the contexts of length, money, and data

14. Time, Shapes, and Fractions as Equal Parts of Shapes

Students extend their understanding of part–whole relationships through the lens of geometry.

Expansion of reasoning ability, abstract ability, improvement of calculation ability, spatial graph transformation, operation rules, and orderly analysis.

1. Properties of Multiplication and Division and Solving Problems with Units of 2–5 and 10

Building on students’ fluency with addition and their knowledge of arrays

2. Place Value and Problem Solving with Units of Measure

Students explore measurement using kilograms, grams, liters, milliliters, and intervals of time in minutes.

3. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10

Extends the study of factors from 2, 3, 4, 5, and 10 to include all units from 0 to 10, as well as multiples of 10 within 100.

4. Multiplication and Area

Students explore area as an attribute of two-dimensional figures and relate it to their prior understandings of multiplication.

5.Fractions as Numbers on the Number Line

Students extend and deepen practice with equal shares to understanding fractions as equal partitions of a whole

6. Collecting and Displaying Data

Builds on concepts about data, graphing, and line plots.

7. Geometry and Measurement Word Problems

Offers students intensive practice with word problems, as well as hands-on investigation experiences with geometry and perimeter.

8. Place Value, Rounding, and Algorithms for Addition and Subtraction

Students extend their work with whole numbers.

9. Unit Conversions and Problem Solving with Metric Measurement

Preparation for multi-digit operations and for manipulating fractional units in future modules.

10. Multi-Digit Multiplication and Division

Students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers.

11. Angle Measure and Plane Figures

Introduces points, lines, line segments, rays, and angles, as well as the relationships between them.

12. Fraction Equivalence, Ordering, and Operations

Students build on their work with unit fractions as they explore fraction equivalence and extend this understanding to mixed numbers.

13. Decimal Fractions

Gives students their first opportunity to explore decimal numbers via their relationship to decimal fractions, expressing a given quantity in both fraction and decimal forms.

14. Exploring Multiplication

Students build their competencies in measurement as they relate multiplication to the conversion of measurement units.

Strengthen logical thinking ability, master arrangement, transformation, abstraction, reification, reverse thinking and symmetrical thinking.

1. Place Value and Decimal Fractions

Students explored the relationships of adjacent units on the place value chart to generalize whole number algorithms to decimal fraction operations.

2. Multi-Digit Whole Number and Decimal Fraction Operations

Students apply the patterns of the base ten system to mental strategies and the multiplication and division algorithms.

3. Addition and Subtraction of Fractions

Students’ understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals.

4. Multiplication and Division of Fractions and Decimal Fractions

Students learn to multiply fractions and decimal fractions and begin working with fraction division.

5. Addition and Multiplication with Volume and Area

Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms.

6. Problem Solving with the Coordinate Plane

Students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems.

7. Ratios and Unit Rates

Students are introduced to the concepts of ratio and rate.

8. Arithmetic Operations Including Division of Fractions

Students complete their understanding of the four operations as they study division of whole numbers, division by a fraction, and operations on multi-digit decimals.

9. Rational Numbers

Students extend the number line (both horizontally and vertically) to include the opposites of whole numbers.

10. Expressions and Equations

Students extend their arithmetic work to include using letters to represent numbers.

11. Area, Surface Area, and Volume Problems

Students utilize their previous experiences in shape composition and decomposition in order to understand and develop formulas for area, volume, and surface area.

12. Statistics

Students move from simply representing data into analyzing data.

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