• Simon Trevathan

I began teaching in Loudoun County in 2009. I graduated from Shepherd University with a degree in Environmental Studies, and then obtained my Master’s degree in Education through the University of Phoenix. I started my teaching career as a middle school science teacher, and then recently became certified in middle school mathematics. In addition to middle school mathematics, I will be assisting with the ISAEP GED program at Douglass school.

Course Description:

Grade 6 Math Mathematics: Mathematics students will use the meaning of fractions, the meanings of multiplication and division to understand and explain why the procedures for multiplying and dividing fractions make sense. They will use reasoning about multiplication and division to solve ratio and rate problems about quantities. Sixth graders will understand the use of variables in mathematical expressions and write expressions and equations that correspond to given situations, evaluate expressions, and use expressions and formulas to solve problems. They will solve problems involving area and circumference of a circle and surface area of three-dimensional objects. They will understand that mean measures center in the sense of being a balance point in the data.

Grade 7 Mathematics: Seventh grade mathematics students will develop a unified understanding of number, recognizing fractions, decimals and percents as different representations of rational numbers. They will extend addition, subtraction, multiplication, and division to all rational numbers, maintaining the properties of operations, and the relationships between addition, subtraction, multiplication, and division. Students will investigate, explain, and interpret rules for addition, subtraction, multiplication, and division of integers. Grade 7 mathematics students will relate the measured attributes of three-dimensional objects to those of two-dimensional objects and solve real world and mathematical problems involving those measured attributes.

Grade 8 Mathematics: Mathematics students build their understanding of mathematics by studying proportions, geometry, probability, statistics, order of operations, square roots, and other algebraic concepts. They will understand the concept of function as a rule that assigns to each input exactly one output. Students will translate among representations of functions and describe how aspects of functions are reflected in the different representations. Grade 8 Mathematics students will complete work on volume and surface area by investigating cones and cylinders and will solve real-world and mathematical problems involving measurable attributes of two-dimensional and three-dimensional objects. Students will understand the statement of the Pythagorean Theorem and its converse and explain why the Pythagorean Theorem works in terms of decomposing squares.