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.
Ordering whole numbers and opposites
Ordering fractions and decimals
Prime and composite numbers
GCF and LCM
Squares, cubes, and their roots
Multiplying and dividing fractions
Improper fractions and mixed numbers
Units of length and capacity
Converting metric and English units Add, subtract, multiply, and divide decimals
Ratios, rates, and unit rates
Percentages, decimals, and fractions
Percentage of a number
Order of operations
Variables and expressions
Solving and writing equations
Demonstrate the ability to order numbers.
Convert between English and metric units.
Perform operations on fractions.
Identify equivalent mixed numbers and improper fractions. Perform operations on decimal expressions.
Convert between percentages, decimals, and fractions.
Write and solve linear equations.
Apply rates to real-world scenarios.