Math Concepts High School Students Must Understand before Graduation

Math pic
Math
Image: edutopia.org

Hilary Agnello, an adjunct professor at McHenry County College, provides instruction in mathematics. She came this position from the role of math teacher and assistant math specialist at Lundahl Middle School. Prior to that, Hilary Agnello spent several years teaching high school students at Geneva and Barrington High Schools in Illinois.

Over the course of four years, high school students are exposed to a variety of mathematical concepts. By the time they graduate, they must have a solid understanding of the following:

Algebra
A foundational knowledge of elementary and intermediate algebra is particularly important for students who plan on entering science-related fields. This area of mathematical knowledge encompasses such things as interpreting the structure of expressions, performing arithmetic operations, and creating equations that describe relationships in math.

Geometry
Comprising such topics as similarity, trigonometry, geometric measurement, and right triangles, geometry is applicable to numerous situations that students will face after school, from estimating building material amounts to rendering computer graphics. Due to its wide applications, high school students must be capable of understanding geometry’s basic language.

Probability and statistics
Parsing media reports and other data-based information requires an understanding of probability and statistics. This knowledge helps students know the difference between correlation and causation, and dependent and independent variables, enabling them to correctly interpret and draw conclusions from quantitative data.

Tutoring Services at the Sage Learning Center

 

Sage Learning Center pic
Sage Learning Center
Image: mchenry.edu

Hilary Agnello, a math teacher at McHenry County College in Crystal Lake, Illinois, has nearly 12 years of experience as a math instructor and tutor. Hilary Agnello, an educational leadership doctoral candidate at National Louis University, also provides tutoring services to students at the Sage Learning Center.

The Sage Learning Center in the McHenry County College (MCC) library supports enhanced academic success through comprehensive tutoring services, including both faculty and peer-tutoring opportunities. Students can make an appointment to discuss a specific assignment or can stop by the center for general academic support. Tutoring is offered across a variety of academic disciplines, including computer information systems (CIS) assistance and tutoring for every level of math.

The Sage Learning Center is particularly helpful for students in need of help with their math coursework. On request, the MCC Sage Learning Center can house small study groups, led by tutors, for all math classes. To learn more about the center or to book an appointment, please visit www.mchenry.edu.

The Window Method for Multiplication

The recipient of a master’s in curriculum and instruction and a PhD in educational leadership from National Louis University, Hilary Agnello is an Illinois-based math teacher who has taught at McHenry County College since 2014. Prior to this role, Hilary Agnello taught math at the middle school level, giving students strategies to make math easier.

One of the more popular strategies for completing multi-digit multiplication without the use of a calculator is the window/box method, which is also referred to as the area model. A common introductory method to the more advanced partial products strategy, the window method prompts students to create a window with a number of rows and columns that reflect the number of digits in the problem’s factors. For instance, if multiplying 47 by 24, the student would create a box with 2 rows and 2 columns. The factors of each problem would then be placed along the top and sides of the box — 40 and 7 along the top, and 20 and 4 down the side.

The trick is then to multiply the numbers that meet in the corresponding four spaces. For example, the student would multiply 40 by 20 in the upper left box, 7 by 20 in the upper right box, 40 by 4 in the bottom left box, and 7 by 4 in the bottom right box. The products from each equation are then added together to get the result of the original 47×24 problem.

Penn State Women’s Volleyball Freshmen Thriving in 2018

 

Women's Volleyball  pic
Women’s Volleyball
Image: psu.edu

An educational leadership PhD candidate at National Louis University, Hilary Agnello draws upon more than a decade of experience in her role as a math instructor at McHenry County College. Before receiving a master’s degree in curriculum and instruction, Hilary Agnello earned a bachelor’s degree in mathematics at Penn State University, where she was a member of the school’s national championship-winning volleyball team.

The fourth-ranked team in the country, Penn State boasts a win-loss record of 18-4 as of October 30 and has been excelling in part due to the performance of its first-year players. In mid-October, Jonni Parker earned her second Big Ten Freshman of the Week honor after leading the Nittany Lions to wins over top-20 teams Purdue and Nebraska. In those two games, Parker registered a combined 26 kills, 15 digs, and 4 blocks.

Parker isn’t the only Penn State first-year player to receive the honor, as both Serena Gray and Kaitlyn Hord were named Big Ten Freshman of the Week earlier in the season. Additionally, at the beginning of October Kendall White was named the Big Ten Defensive Player of the Week.

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