7 年級數學 - 持續 1-1 私人輔導

This class will cover all the topics in grade 7 maths and will be customized as per student's needs. Topics can be learned in the desired order. I teach students at a pace that suits them and, also, finish the syllabus on time.

Course Overview:

This course builds on foundational math skills and introduces more complex concepts, preparing students for advanced mathematics in higher grades. Emphasis is placed on critical thinking, problem-solving, and applying mathematical concepts to real-world scenarios.

Course Objectives:

-Develop a thorough understanding of proportional relationships and algebraic expressions.
-Explore more advanced geometric concepts and spatial reasoning.
-Analyze and interpret data using statistical methods.
-Apply problem-solving strategies to real-world contexts.

Units of Study:

1. Ratios and Proportional Relationships

Ratios and Rates- Understanding and solving problems involving ratios and rates
Proportional Relationships- Identifying and using proportional relationships in real-life contexts
-Solving problems involving proportions and scale factors
Percentages- Calculating percentages, including percentage increase and decrease

2. Algebraic Expressions and Equations

Expressions- Writing, simplifying, and evaluating algebraic expressions
Equations- Solving one-step and two-step equations
-Understanding and applying properties of equality
Inequalities- Solving and graphing simple inequalities on a number line

3. Geometry

Geometric Figures and Properties- Analyzing properties of two-dimensional and three-dimensional shapes
-Understanding concepts such as congruence and similarity
Area, Surface Area, and Volume- Calculating area of various shapes, surface area, and volume of geometric solids
Angle Relationships- Understanding and applying the properties of angles, including complementary, supplementary, and vertical angles

4. Data and Probability

Data Representation- Creating and interpreting various forms of data representation, including histograms, box plots, and scatter plots
Measures of Central Tendency- Calculating and interpreting mean, median, mode, and range
Probability- Understanding basic probability concepts and calculating the probability of simple events

5. Problem Solving and Applications

Real-World Problems- Applying mathematical concepts to solve practical problems in everyday situations
Critical Thinking- Developing strategies for logical reasoning and effective problem-solving
Project-Based Learning- Engaging in projects that integrate multiple math concepts and demonstrate real-world applications