Students 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.
Properties of numbers
Relationships between numbers
Converting between English and metric units
Decimals and percentages
Ratios and rates
Algebraic expressions Equations
Graphing on a coordinate plane
Areas and perimeters of 2-D figures
Surface areas and volumes of 3-D figures
Interpreting, displaying, and evaluating data
Identify the GCF and LCM of a set of numbers.
Simplify expressions involving fractions and decimals.
Convert between English and metric units.
Identify the percent change between two values.
Create equivalent fractions, decimals, and percentages. Translate and solve multistep equations by various means.
Solve and graph inequalities.
Create a table of solution points in order to graph linear equations.
Identify the areas and perimeters of two-dimensional figures.
Identify the volumes and surface areas of three-dimensional figures.
Identify important statistical components of data sets.