#### TONGYAN MATH

At TongYan School, Math is more than just numbers.

With unlimited questions, engaging item types, and real-world scenarios, we help learners experience math at its most mesmerizing!

###### Overview of Math Program

Mathematics is not only about numbers or equations. The primary goal for our preschool mathematics curriculum is to develop children’s mathematical and logical thinking ability from an early age. On this basis, we hope our kids will begin to use mathematical methods to understand the world and to solve problems in real life.

2.5 - 6 years old is an important stage to develop children's interest. The mathematics education in this stage covers four major aspects: Logical Thinking, Geometry Exploration, Arithmetic Concept & Math in Real Life. While teaching children simple mathematics knowledge, more emphasis is placed on cultivating children's learning interest and thinking ability through both individual and collaborative activities in class. We hope our children will love doing math and have a breadth of math and logic concepts in hand to prepare them for future advanced learning.

###### Curriculum - What you will learn from this course

###### PMAT101 - Preschool Math I - Age: 3~4

Week 1: Introduction to Numbers and Counting. Introduction to numbers and counting objects in a set

Week 2: Exploring More Numbers. Further exploration of numbers and number representation

Week 3: Comparing and Ordering Numbers. Comparing the number of objects in sets. Ordering numbers from least to greatest and vice versa

Week 4: Introduction to Patterns. Identifying and extending patterns in sequences

Week 5: Number Bonds. Exploring number bonds within 10

Week 6: Concepts of Addition. Introduction to addition using manipulatives

Week 7: Concepts of Subtraction. Introduction to subtraction using manipulatives

Week 8: Advanced Addition and Subtraction. Addition and subtraction with larger numbers (up to 20)

Week 9: Adding and Subtracting More than Two Numbers. Adding and subtracting multiple 1-digit numbers

Week 10: Solving Complex Word Problems. Solving complex word problems involving addition and subtraction

Week 11: Mental Calculation Strategies. Developing mental calculation skills for addition and subtraction

Week 12: Counting Money and Making Change. Counting and recognizing coins (pennies, nickels, dimes.) Making changes for simple transactions

Week 13: Measurement and Comparison. Introduction to measurement concepts (length, weight, capacity.) Comparing objects based on measurement attributes

Week 14: Review and Consolidation. Reviewing key concepts and skills covered throughout the semester

###### PMAT201 - Preschool Math II - Age: 4~5

Week 1: Number Recognition and Counting. Recognizing and naming numbers.

Counting objects with correspondence

Week 2: Number Formation and Representation. Writing numbers and representing quantities

Week 3: Number Comparisons. Comparing numbers using concepts of more, less, and equal

Week 4: Patterns and Sequences. Identifying and extending patterns in sequences

Week 5: Advanced Shapes and Geometry. Exploring advanced shapes (hexagon, pentagon, octagon)

Week 6: Measurement and Comparing Sizes

Introduction to measurement using nonstandard and standard units. Comparing sizes (big, small, medium) with precise measurements

Week 7: Introduction to Time. Understanding the concept of time (hours, minutes)

Telling time to the hour and half-hour

Week 8: Advanced Addition. Introduction to 2-digit addition without regrouping

Week 9: Advanced Subtraction. Introduction to 2-digit subtraction without regrouping

Week 10: Solving Complex Word Problems. Solving complex word problems involving addition and subtraction

Week 11: Advanced Mental Calculation Strategies. Developing advanced mental calculation skills for addition and subtraction

Week 12: Money Concepts and Problem-Solving. Recognizing and counting money (dollars and cents.) Solving money-related word problems

Week 13: Graphs and Data Interpretation. Collecting and representing data using graphs. Interpreting information from graphs

Week 14: Review and Consolidation. Reviewing key concepts and skills covered throughout the semester

###### MAT101 - Math I - Gr. K and Gr.1

MAT101 is a comprehensive math program for Grade 1 and advanced Kindergarten students. With engaging activities and a solid curriculum, students will build a strong mathematical foundation for future learning.

The sessions cover a range of topics, including counting, number notation, place values, comparing and ordering numbers, patterns in number sequences, ordinal numbers, number bonds, addition and subtraction, mental calculations, and counting money.

During the early sessions, students learn to count and understand the number of objects in a set using Montessori Beads. They also develop number notation and place value understanding. As they progress, they explore more complex place value concepts, read and write numbers in numerals and words, and compare quantities and numbers.

The curriculum includes sessions on identifying and extending patterns in number sequences, as well as understanding ordinal numbers and solving related word problems. Students also work on number bonds up to 20, which lays a solid foundation for addition and subtraction.

The sessions on addition and subtraction cover basic concepts, the relationship between the two operations, adding multiple 1-digit numbers, and adding and subtracting within 100 using algorithms. Word problems are incorporated to apply these skills in real-life scenarios.

To enhance mental math skills and problem-solving abilities, students engage in mental calculations and learn techniques from Beast Academy. They also explore the concept of counting money, including coins such as dimes, nickels, and quarters. They practice counting money in cents up to $1 and in dollars up to $100.

The curriculum concludes with sessions focused on solving word problems involving addition and subtraction of money. These sessions can be designed as engaging games to review and reinforce the concepts covered throughout the curriculum.

###### MAT201 - Math II - Gr.2 and Gr.3

MAT201 is a dynamic math program designed for Grade 2 and Grade 3 students. With engaging activities and real-life problem-solving, students will strengthen their math skills and build a solid foundation for further learning. In these math sessions, students will cover various topics and concepts.

In the first sessions, they will focus on number notation, counting, comparing, and ordering numbers. They will also learn about patterns in number sequences and identify odd and even numbers.

Moving on, students will dive into addition and subtraction algorithms, solving word problems involving these operations. Mental calculations with three-digit numbers and two-digit numbers will also be practiced. They will then progress to multiplication tables, including 2, 3, 4, 5, 6, 7, 8, 9, and 10. Division with remainder and the relationship between multiplication and division will also be explored.

The sessions continue with solving word problems involving multiplication and division within the multiplication tables and expanding to two-step word problems involving all four operations. Multiplication and division algorithms for up to three digits by one digit will be introduced. Fraction concepts, such as part of a whole, notation, representations, and equivalent fractions, will be covered.

Further topics include comparing and ordering fractions, adding and subtracting like fractions, counting and converting money in decimal notation, telling time, using the calendar, measuring length, mass, and capacity, interpreting and creating graphs, identifying and classifying 2D and 3D shapes, exploring symmetry, and understanding and working with simple fractions.

###### MAT301 - Math III - Gr.4 and Gr.5

MAT301 is a comprehensive math program for Grade 4 and Grade 5 students. With practical problem-solving and skill-building activities, students will strengthen their mathematical abilities and gain confidence in their math journey. The curriculum includes several sessions covering different topics.

In the first session, students learn about number notation, representations, and place values up to 100,000 or 10,000,000. They also practice reading and writing numbers in numerals and words, comparing and ordering numbers, and identifying patterns in number sequences.

The second session focuses on rounding numbers to the nearest 10, 100, 1000, and higher places. Students also learn to use the symbol "≈" for approximation and develop estimation skills.

Sessions 3 and 4 cover factors and multiples. Students learn about the relationship between factors and multiples, determine if a 1-digit number is a factor of a given number within 100, and find common factors and multiples of two given numbers. Various divisibility tests are taught as well.

Session 5 introduces the four operations: addition, subtraction, multiplication, and division. Students learn the multiplication algorithm for numbers up to 4 digits by 1 digit and up to 3 digits by 2 digits. The division algorithm is covered for numbers up to 4 digits divided by 1 digit. Multiplying and dividing by 10, 100, 1000, and their multiples without a calculator is also practiced.

In Session 6, students learn about the order of operations, the use of brackets, and solving word problems involving the four operations.

Moving on to fractions in Sessions 7 and 8, students explore mixed numbers, improper fractions, and their relationships. They learn to add and subtract fractions with denominators not exceeding 12 and not having more than two different denominators. Adding and subtracting mixed numbers and solving word problems involving addition and subtraction are also covered.

Sessions 9 to 12 focus on decimals. Students learn about decimal notation, place values up to thousandths, comparing and ordering decimals, dividing whole numbers by whole numbers with decimal quotients, converting decimals to fractions and vice versa, rounding decimals, and performing calculations with decimals.

Session 13, introduces percentages. Students learn to express a part of a whole as a percentage, use the percentage symbol (%), and find the percentage of a whole. Session 14 is the review session.