Mathematics

Full year

The HKIS math department utilises the Illustrative Mathematics resource as our course of study for Grades 6-8. The Illustrative Mathematics Course Guide outlines the scope of Grade 6 Mathematics as follows:

In Grade 6 Mathematics, the course begins with a study of area and surface area concepts. This work sets the tone for later units that use area models for arithmetic using rational numbers. Next, students begin study of ratios, rates, and percentages with an introduction using representations such as number line diagrams, tape diagrams, and tables. Student understanding of these concepts expands by exploring fraction and decimal representations of rational numbers. They explore sums, differences, products, and quotients using intuitive methods and efficient algorithms. Next, students are introduced to equations and expressions including finding solutions for linear equations in one variable and basic equations involving exponents. Student understanding of ratios and rates combined with a basic understanding of equations leads students to study proportional relationships with special emphasis on circumference and area of a circle as an example and nonexample of proportional relationships. This is followed by looking at percentage concepts and applications such as sales tax, tipping, and markup. They learn about rational numbers less than zero expanding their understanding of arithmetic to negative numbers. A brief study of data and statistics concludes the new concepts in the course.

Students will:

  • Engage in extensive problem-solving activities
  • Gain a clear understanding of mathematical concepts by engaging in critical thinking and teacher facilitated discussions
  • Develop a deep and enduring grasp of mathematical principles and procedures, and apply this knowledge to novel situations
  • Strengthen their communication skills by discussing mathematical concepts, listening to peers' ideas, justifying their own reasoning verbally and in writing, and by critiquing others' arguments
  • Develop flexible thinking by applying mathematical skills in various contexts and independently tackling unfamiliar problems