# Mathematics 6th Grade (1st semester)

## Mathematics 6th Grade (1st semester)

Course Description\nStudents learn how to find the prime factors of composite numbers, then apply this ability to work with fractions. They use ratios and rates in a number of applications: converting between English and metric measurements, determining unit rates, and finding unit prices. To build a foundation for learning algebra, students study the properties of addition and multiplication and the order of operations. Students then apply these concepts as they write, evaluate, and factor algebraic expressions. After they learn to solve single-variable one- and two-step equations and inequalities, students extend their knowledge by graphing the solutions on number lines and the coordinate plane. The exploration of two dimensions continues as students work with plane polygons, classify shapes, and solve for shapes’ perimeters and areas. Students learn to transform two-dimensional figures by translating, rotating, and reflecting both figures and graphs of equations, then move on to solid figures. Finally, students delve into statistics as they identify, interpret, and construct various data; solve for and interpret measures of center including mean, median, and mode; and use those measures to analyze data and construct appropriate data displays, which they can apply to a wide range of situations in other subject areas.\n\nCourse Breakdown\n\n Ordering whole numbers and opposites\n Ordering fractions and decimals\n Divisibility rules\n Prime and composite numbers\n Prime factorization\n GCF and LCM\n Squares, cubes, and their roots\n Absolute value\n Reducing fractions\n Multiplying and dividing fractions\n Improper fractions and mixed numbers\n Units of length and capacity\n Converting metric and English units Add, subtract, multiply, and divide decimals\n Long division\n Ratios, rates, and unit rates\n Percentages, decimals, and fractions\n Percentage of a number\n Percentage change\n Number properties\n Order of operations\n Variables and expressions\n Solving and writing equations\n\nCourse Goals\n Demonstrate the ability to order numbers.\n Convert between English and metric units.\n Perform operations on fractions.\n Identify equivalent mixed numbers and improper fractions. Perform operations on decimal expressions.\n Convert between percentages, decimals, and fractions.\n Write and solve linear equations.\n Apply rates to real-world scenarios.