Course Description

Students will complete 2-3 lessons per week in Mathematics. This course builds upon previous notions of the number system to now include the entire set of rational numbers. Students will begin to understand the use of variables as they write, evaluate, and simplify expressions. They use the idea of equality and properties of operations to solve one-step equations and inequalities. Students will make connections by connecting ratio and rate to multiplication and division, allowing students to use ratio reasoning to solve a wide variety of problems. They further apply their understanding of multiplication and division to explain the standard procedure for dividing fractions. Students will demonstrate reasoning about relationships among shapes to determine area, surface area, and volume. Students will explore different graphical ways to display data. They use data displays, measures of center, and measures of variability to summarize data sets. 

Course Objectives

Throughout this course, students will meet the following goals: 

  • Apply knowledge of multiplication and division while working with fractions and to solve ratio and rate problems  
  • Extend previous notion of the number system to include the entire set of rational numbers
  • Effectively translate between graphic, numeric, symbolic, and verbal representations  
  • Work with two- and three-dimensional shapes to solve problems involving area, surface area, and volume 
  • Demonstrate an understanding of the meanings and uses for variables in mathematical problems  
  • Develop an understanding of data distributions and statistical variability  
  • Learn to select and use appropriate mathematical knowledge when investigating problems