Math Program Overview
Our Approach
Math opens us up to the invisible and ordered world all around us. Math helps us think logically, enhance our critical thinking skills, and create and improve our environment in a more orderly way. The reasoning skills learned through the practice of math are an essential piece of a liberal arts education.
Unlike advanced levels of math such as algebra and calculus, our middle school math program is designed to help students build a strong foundational understanding of skills such as fractions, decimals, negative numbers, and basic geometry, which most students will use regularly throughout their daily lives. The attitude students develop towards math in middle school is likely to shape their attitude towards math in high school, college, and life.
Every middle school math course is offered in both live and selfpaced formats. The content of live and selfpaced math courses is markedly different, and each format is designed to serve different kinds of math learners.
Live Math Courses
Live math courses are offered during Fall and Winter terms. They are projectbased and revolve around inspiring and helpful live math classes taught by passionate math mentors. These courses are ideal for students who need a strong support system and structured schedule to succeed in math and who enjoy learning in a group.
Near the beginning of each section of the course, students are introduced to an engaging project or simulation that will anchor their learning throughout the section in realworld application, and nurture their inherent motivation to master the concepts taught. In subsequent sessions, math mentors introduce students to new math topics and work through problems together, providing students the opportunity to ask for clarification and solidify their understanding and confidence. Students are required to complete daily math assignments that draw on readings from storybased math resources (such as Life of Fred textbooks) and skillbased applications (such as Khan Academy).
Selfpaced Math Courses
Selfpaced math courses are offered yearround in Fall, Winter, and Summer terms. They are built around the math missions in Khan Academy and include the guidance and support of a math mentor without live classes. These courses are designed for independent or advanced math learners who enjoy working in Khan Academy and want a streamlined math program without the enrichment activities such as projects and math readings.
All live and selfpaced math courses also include some common resources and requirements, detailed in the course descriptions.
Math Lab
Both live and selfpaced math courses include access to Williamsburg’s Math Lab, where students can log in during set hours and receive 1:1 help from a knowledgeable and welltrained math tutor. Students visit Math Lab thousands of times each year and our math tutors ensure that students get the help they need to push through and succeed. Students are encouraged to log into Math Lab while they complete their daily math practice so they can readily get help understanding challenging math concepts.
Daily Math Practice
Students in all math courses are expected to spend 30–60 minutes each day, five days per week, practicing math. In selfpaced courses, this math practice is all completed in Khan Academy. In live courses, students will practice math using a variety of resources including worksheets, Life of Fred textbooks, and Khan Academy, depending on the topic.
Accelerated Pace Encouraged
Both live and selfpaced math courses accommodate students who want to move ahead at an accelerated pace. Math mentors are trained to support accelerated students and ensure that no student is held back from reaching her full potential each year in our math program. Math mentors individualize assignments and create customized math plans to help students achieve their goals each semester and to support and encourage students who wish to move ahead.
Middle School Math Courses at Williamsburg
Middle School Math Courses  

Courses  Recommended Grade  Credit  Delivery Format  Prerequisites 
6th Grade Math A  6th  0.5  Live / Selfpaced  None 
6th Grade Math B  6th  0.5  Live / Selfpaced  6th Grade Math A 
7th Grade Math A  7th  0.5  Live / Selfpaced  6th Grade Math A , 6th Grade Math B 
7th Grade Math B  7th  0.5  Live / Selfpaced  7th Grade Math A 
8th Grade Math A  8th  0.5  Live / Selfpaced  7th Grade Math A , 7th Grade Math B 
8th Grade Math B  8th  0.5  Live / Selfpaced  8th Grade Math A 
High School Math  6th, 7th, 8th  0.5  Live / Selfpaced  8th Grade Math A , 8th Grade Math B 
8th Grade Math: 8th Grade Math covers PreAlgebra skills.
High School Math: If you would like information about receiving high school credit for advanced level math courses, please email us at msmath@williamsburged.org. More information about high school math can be found on High School Math Program Overview.
For help with choosing the right math class for your student, please see the chart below. Contact msmath@williamsburged.org for more information.
Choose the Right Math Course
Topics covered and examples listed refer to the math levels found in the far left column. For more specific information about whether your student needs the A or B course for a particular math level, or for help with any other math questions, please consult msmath@williamsburged.org.Math  Topics Covered  For Example  

6th Grade Math A/B  Student has earned a passing grade in 5th Grade Math.  
Student has memorized the times tables up to 12 x 12.  8 x 12  
Student can fluently multiply multidigit numbers.  1,367 x 234  
Student has some experience with fractions and decimals.  
7th Grade Math A/B  Student has earned a passing grade in 6th Grade Math.  
Student can fluently add, subtract, multiply, and divide fractions with uncommon denominators.  
Student can fluently convert between mixed numbers and improper fractions.  
Student can fluently add, subtract, multiply, and divide decimals.  6.45 ÷ 0.35  
Student can fluently convert between fractions, decimals, and percents.  
Student can accurately use percentages in everyday life.  If there are two apples and three oranges, 40% of the fruit is apples.  
Student understands and can fluently calculate long division problems.  1,024 ÷ 46  
Student understands rates and ratios.  Traveling 300 miles in 5 hours, traveling 120 miles in 2 hours, and traveling 480 miles in 8 hours are all equivalent ratios which means they are traveling at the same unit rate of 60 miles per hour.  
8th Grade Math A/B  Student has earned a passing grade in 7th Grade Math.  
Student can easily add, subtract, multiply, and divide positive and negative numbers.  
Student can easily add, subtract, multiply, and divide fractions and decimals.  
Student can calculate and use unit rates in twostep problem solving.  Buying 8 pairs of socks for $6.00 means that the unit price is $0.75/pair which means that the price of 30 pairs of socks would be $22.50.  
Student understands proportionality and can recognize a proportional relationship on a table, graph, equation, or word problem. 


Student can solve proportional equations.  
Student can fluently solve twostep equations.  3x + 6 = 15  
High School Math  Student has earned a passing grade in 8th Grade Math. 