Creative Math lessons with hands-on problem-solving focus

The student and tutor worked through problems related to identifying and counting vertices, edges, and faces of various 3D geometric shapes. They practiced applying Euler's formula as a verification method and explored real-life examples of cones and cylinders.

The Tutor and Student worked through several word problems involving scale factors, blueprints, and areas. They practiced converting measurements using scales, calculating areas of rooms, and determining costs. The session also covered the concept of scale factors and how they affect drawings and areas, and how to determine a scale from given measurements.

The student and tutor worked through various problems involving direct proportions and ratios, primarily focusing on scale conversions and applications in maps, blueprints, and similar triangles. They practiced setting up and solving proportion equations, and the tutor introduced the concept of similar triangles and their properties related to ratios.

The Tutor and Student worked on solving linear equations to find unknown angle measures. They practiced problems involving vertical, supplementary, complementary angles, and the angle sum property of triangles, reinforcing algebraic skills and geometric principles. The Tutor advised the Student to review their solutions after each problem.

The Tutor and Student reviewed triangle classifications based on sides (isosceles, equilateral, scalene) and angles (acute, obtuse, right). They practiced applying the angle sum property of triangles to solve for unknown angles in algebraic equations and worked through problems involving vertical angles and linear pairs. The Tutor also clarified the distinction between side and angle classifications for triangles.

The Student and Tutor worked through multiple examples of solving quadratic equations using the completing the square method. They practiced identifying the necessary steps, manipulating equations, and handling fractions and signs. The Tutor planned to continue practicing this method if time allowed.