Interactive AP Calculus BC lessons with problem-solving approach

The student and tutor practiced multiplication using the area (box) method, breaking down multi-digit numbers into smaller parts and summing the results. They then transitioned to calculating percentages of numbers and applied this skill to a scenario involving budgeting and allocation of funds.

The tutor and student reviewed and practiced multiplication facts, basic fraction concepts including representation and complementary fractions, and applied subtraction and addition to solve word problems. The student worked through various practice questions orally and with brief written calculations.

The student and tutor reviewed differentiation and integration, with a significant focus on U-substitution for integration problems. They worked through various practice problems, including implicit differentiation and common integration scenarios.

The tutor and student explored polar coordinates, covering their definition, plotting techniques, and the conversion between polar and Cartesian systems. They practiced plotting points, converting coordinates using specific formulas, and finding equivalent polar representations. The session concluded with an overview of expressing equations in polar form.

The Tutor and Student reviewed directional concepts, including cardinal and intermediate directions, and practiced applying them through turns and hypothetical scenarios. They also worked on division problems and identified US states in a geography context, with plans to continue with more complex direction-based activities.

The Tutor reviewed the FOIL method for multiplying binomials with the Student. They practiced several examples, including those with negative terms and more complex coefficients, and the Student demonstrated a good understanding of the process.