CAAP Enriched Mathematic

Students learn mathematics by constructing meaning through ever-increasing levels of abstraction, starting with exploring their own personal experiences, understandings and knowledge. This course is not just aimed at students who are struggling with keeping with the mathematics taught in classes at school but also for students who want to get a richer, deeper grasp of mathematical concepts and be able to apply these concepts into many different applications in life. In addition, this course will prepare students to study international mathematics competition, drawing materials from the Singapore, Shanghai and UK international mathematics competition.

Outcome:

  • Students can individually make sense of questions and persevere in solving problems;
  • Use abstract and quantitative reasoning to solve problems;
  • Use patterns and relationships to analyze the problem situations;
  • Develop problem solving skills and use mathematic thinking to solve problems in real life;
  • Able to use the appropriate tools and strategies and notation to solve problems.
  • Able to reach a level high enough to enter an international mathematics competition with confidence

* Base upon the Chinese / Singapore School Mathematic levels for CAAP Math

Course Framework

Numbers and Numbers to 10;

Number Bonds;

Addition Within 10;

Subtraction Within 10;

Shapes and Patterns;

Patterns and Number Sequence

Understanding Addition

Understanding Subtraction

Data and Graphs

Addition Strategies

Number Sense and Patterns

Addition Strategies

Subtraction Strategies

Data and Groups

Two-Digit Addition

Place Value and Number Sense

Addition

Subtraction

Multiplication Concepts and Facts

More Multiplication Facts

Place Value and Number Sense

Addition and Subtraction

Algebra: Use Addition and Subtraction

Statistics: Data and Graphs

Multiplication and Division Facts

Number Sense, Algebra, and Functions

Statistics and Data Analysis

Adding and Subtracting Decimals

Fractions and Decimals

Adding and Subtracting Fractions

Algebra and Functions

Numbers Sense: Fractions

Algebra and Number Sense: Proportions and Percentage

Statistics, Data Analysis, and Probability

Geometry and Measurement

Working Mathematically; 

Percentage;

Ratios,

Rates and Scale Drawing;

Using Calculators and Spreadsheets;

The Number Plane;

Graphs and Tables;

Reasoning in Geometry;

Area and Volume;

Circles;

Algebra:

Expressions, Equations, and Inequalities; Functions, Equations and Graphs; Linear Systems;

Quadratic Functions and Equations;

Polynomial and Polynomial Functions;

Geometry:

Essential of Geometry;

Reasoning and proof;

Parallel and perpendicular lines;

Heart of Algebra:

Analyzing and fluently solving linear;

equations and systems of linear;

Creating linear equations and inequalities to represent relationship between quantities and to solve problems;

Problem Solving and Data Analysis:

Creating and analyzing relationship using ratios, proportional relationships, percentage, and units;

Representing and analyzing quantitative data;

Finding and applying probabilities in context;

Additional to Math:

Solving problems related to area and volume;

Applying definitions and theorems related to lines, angles, triangles, and circles; Working with right triangles, the unit circle, and trigonometric functions