Experienced Mathematics Tutor making Math simple and engaging while boosting their confidence

The session focused on applying operations on rational numbers, specifically fractions and mixed numbers, to solve various word problems. The Student practiced addition, subtraction, multiplication, and division of fractions, learning to identify key operational clues and relevant information within problem statements. The next session is planned to cover divisibility rules and the conversion between fractions and decimals.

The session focused on teaching the laws of exponents, including the product rule, quotient rule, power of a power rule, negative exponent law, and zero exponent law. The Student practiced applying these rules through numerous examples and an online game. The Tutor mentioned that scientific notation would be the topic for the next meeting.

The Tutor introduced solving quadratic equations using the quadratic formula, beginning with converting equations to standard form and identifying coefficients. The Student then practiced applying the formula through several examples, including simplifying radicals and separating the two solutions. The next session is planned to cover the laws of exponents.

Student and Tutor covered the definition of rational numbers, along with detailed practice on comparing and ordering fractions. The core of the session focused on performing all four operations—addition, subtraction, multiplication, and division—with both similar and dissimilar fractions, introducing methods like LCD, butterfly, and cross-cancellation. The upcoming session will include a review of divisibility rules.

The session involved a comprehensive diagnostic test in mathematics covering whole numbers, integers, fractions, decimals, PEMDAS, geometry, and word problems. The Student practiced a wide array of basic mathematical skills, and the Tutor provided instruction on specific areas like dissimilar fraction operations and decimal-to-fraction conversion. Future sessions will focus on reinforcing these identified areas, preparing the Student for middle school topics, specifically starting with ratios and proportions.

The Tutor and Student began a new topic on functions, reviewing the difference between relations and functions using ordered pairs and the vertical line test. They practiced identifying functions and then moved on to evaluating functions by substituting values into expressions. The session concluded with an interactive game to reinforce function evaluation.