Tonga Class 4 Syllabus - Mathematics

Unit 1: Large Numbers

• Reading and Writing Large Numbers: This unit covers reading and writing numbers up to ten million. Students will learn the three-digit reading number system and how to identify the place value of a given digit in millions and ten millions. Students will also learn how to read and write large numbers with commas or spaces separating groups of three digits. They will practice reading and writing numbers in words and figures. The concept of one million as 1,000 sets of one thousand will be emphasized. Students will also learn about ten million and hundred million. They will practice reading populations of different countries and regions.
• Calculating Large Numbers: This unit covers calculations involving large numbers, including addition, subtraction, multiplication, and division. Students will learn the terms sum, difference, product, and quotient. They will practice solving word problems involving large numbers and relating these problems to real-life situations. They will also learn how to represent large numbers in different forms (e.g., billions, millions, thousands).
• English Numeration: This unit explores the English numeration system and its origins in Latin. Students will learn the prefixes used for large numbers (e.g., "bi-" for billion, "tri-" for trillion) and how the three-digit numeral system is used in Commonwealth countries. They will practice writing large numbers with spaces every three digits.

Unit 2: Division

• Rules of Division: This unit covers the rules of division, including how the quotient changes when the divisor or dividend is multiplied or divided by a number. Students will explore these rules through various examples and word problems, relating them to real-life situations. They will learn the terms dividend, divisor, and quotient. They will also practice using tape diagrams to represent division problems.
• Division of Tens and Hundreds: This unit covers division of tens and hundreds by one-digit numbers. Students will learn how to calculate these divisions by grouping numbers into sets of tens and hundreds. They will practice solving division problems involving tens and hundreds.

Unit 3: Thinking about How to Calculate

• Problem Solving Strategies: This unit focuses on developing problem-solving strategies for division. Students will explore different ways to calculate answers, using figures and mathematical expressions. They will learn to analyze word problems, decompose numbers, and apply the rules of division to find solutions. They will also practice explaining their reasoning and presenting their solutions in different ways.

Unit 4: Angles

• The Sizes of Angles: This unit introduces the concept of angles as rotations or turns. Students will learn how to compare and order angles by size. They will also learn about the unit for measuring angles (degrees) and how to use a protractor to measure angles accurately. They will practice measuring angles of different objects and shapes. The concept of a right angle will be reviewed.
• The Angles of Triangle Rulers: This unit explores the angles of triangle rulers (set squares). Students will learn to identify and measure the different angles of set squares and use them to construct other angles. They will practice combining set squares to form different angles.