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Class Examples

**Course Objectives:**

**Developing Spatial Relationships.**Through identifying and categorizing different shapes, students will better understand and interpret spacial relationships in the world around them.**Developing Observational Skills.**Paying attention to the characteristics of shapes, such as the number of sides and corners will enhance children’s observational skills.

**Outcomes:**

- Ability to name common plane shapes like squares, triangles, and circles
- Ability to count in order without missing or over counting
- Preparation for admission into top private schools

**Course Objectives:**

- Enhancing mental arithmetic abilities
- Foundational preparation for understanding more complex concepts such as multiplication and division in later years

**Outcomes:**

- A
**developed number sense**and understanding of**quantity** - A strong math foundation before transitioning into a more structured learning stage of math

**Common Challenges: **

- Unable to establish direct connections between mathematics and life
- Hard to quickly find and apply patterns in solving problems
- Difficulty constructing long logic chains

**Our Approach:**

- Gamified teaching
- Verifying conclusions through practical exploration, enhancing a sense of achievement in students using a hands-on approach
- Simultaneously improving spacial cognition and logical deduction abilities through a single problem

**Class info:** Algebra 1 Advanced, Arithmetic Sequence and Geometric Sequence

**Knowledge Difficulty: **Challenging topic in Algebra 1 Curriculum

**Challenge: **Students need to understand the formula to find sum of arithmetic sequence.

**Our Approach:**

- Teachers explain the definition of an arithmetic sequence.
- Visualization is used to demonstrate adding two identical sequences.
- Students derive the formula using the area formula of rectangles.
- This helps students apply the formula in the future.

**Class info: **Geometry Honors, Application of Similar Triangles (Geometric Mean Theorem)

**Knowledge Difficulty: **AMC10 Geometry Topics

**Challenge: **Students need to identify the model of Geometric Mean Theorem and apply its formula to solve lengths.

**Our Approach: **

- The teacher will guide students to identify all similar triangles formed when an altitude is drawn to the hypotenuse of a right triangle.
- Students will practice using the ratios in similar triangles.
- The teacher will derive the general formula with the students.
- Animation and annotation will aid in better understanding and memorization of the theorem.

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