初等代数と幾何学 | 数学 | ライブクラス

Welcome to a comprehensive and engaging course on Pre-Algebra and Geometry. Students will actively participate in note-taking and problem-solving sessions. Both class-wide and individual discussions will help reinforce mathematical concepts. After each class, students will receive helpful handouts and homework assignments. The final five minutes of each session are dedicated to addressing any questions or concerns. In Pre-Algebra, topics range from integers and fractions to order of operations and algebraic expressions. In Geometry, we cover angles, triangles, quadrilaterals, polygons, circles, and various geometric calculations. The class pace is adaptable based on the students' readiness, ensuring optimal progress. Please consider your child's math level when enrolling, as this course is designed for younger students who are seeking a more advanced curriculum. I am readily available for messaging and provide supplementary guides and worksheets as needed. Additionally, personalized one-on-one tutoring is offered to students who require extra support. Please note that a 10-minute grace period is given at the start of each class, and if students do not attend, the session will conclude.

Pre-Algebra Topics:
Class #1: Integers & Fractions (Addition, subtraction, multiplication, and division).
Class #2: Order of Operations & Evaluating Expressions (PEMDAS).
Class #3: Algebraic Expressions (Simplifying and combining terms) & Distributive Property.
Class #4: Pre-Algebra Review and solving one-step equations.

Geometry Topics:
Class #5: Angle Measurement, Angle Addition, Angle Classification, Angle Pairs, and Angle Congruence.
Class #6: Vertical Angles, Perpendicular Lines, Parallel Lines, Interior Angles, and Exterior Angles.
Class #7: Triangle Perimeter, Triangle Area, The Pythagorean Theorem, Pythagorean Triples, Special Triangles (30-60-90 and 40-45-90).
Class #8: Quadrilaterals - Trapezoids, Isosceles Trapezoids, Parallelograms, Rhombuses, Rectangles, and Squares.
Class #9: Polygons - Regular and Irregular Polygons, Convex and Concave Polygons, Polygon Sides and Angles, Exterior Angles of Polygons, Inscribed and Circumscribed Polygons.
Class #10: Circles - Radius and Diameter, Regions of a Circle, Pi, Circumference.
Class #11: Perimeter, Area, and Volume of Triangles, Rectangles, Squares, Parallelograms, Trapezoids, Rhombuses, Polygons, Unusual Shapes, Cubes, Cylinders, Cones, and Spheres.
Class #12: Comprehensive Review of all topics covered.