Segment One
Evaluate whole numbers raised to a whole number exponent.Apply the order of operations to simplify whole-number expressions. Identify and use the associative, commutative, distributive, and identity properties for whole numbers.Understand the concept of decimal place value and how to name decimals according to place value.Compare decimals in various formats and round numbers with decimals.Add and subtract decimals.Explain and justify procedures for multiplying decimals to solve real-world problems. Learn how to divide decimals, estimate when dividing decimals, and apply dividing decimals in real-world situations.Advanced: Define integers and find the absolute value of integers. Understand symbolic representations of numbers.Discuss terms and phrases that indicate addition, subtraction, multiplication, and division.Substitute values for variables in expressions and describe the result or patterns you observe.Apply the commutative, associative, and distributive properties to show that two expressions are equivalent.Identify and predict the nth term of arithmetic and geometric sequences.Advanced: Add, subtract, multiply, and divide integers.Use divisibility rules to identify prime and composite numbers, find the factors of a number, and write the prime factorization of a number.Understand and create equivalent fractions.Find the greatest common factor of two or more numbers.Understand the difference between mixed numbers, and proper and improper fractions.Convert improper fractions and mixed numbers.Understand how to compare and order fractions, percents, and decimals.Advanced: Convert between fractions and decimals including repeating or terminating decimals.Add and subtract fractions and mixed numbers with like and unlike denominators.Multiply and divide fractions and mixed numbers and estimate to check for reasonableness.Advanced: Solve one-step equations using addition and subtraction of fractions and mixed numbers.

Segment Two
Solve and write one- and two-step equations using subtraction, addition, division, and multiplication. Write, graph, and solve one- and two-step inequalities. Advanced: Solve problems by working backwards. Advanced: Solve two-step equations with fractions.Show relations as sets of ordered pairs, tables, mappings, and graphs. Construct and analyze tables, graphs, and functions of real-world problems to describe linear functions using both common language and algebraic notation.Determine the measures of central tendency and variability for a given set of data. Analyze the measures of central tendency to best represent a data set. Advanced: Identify and plot ordered pairs in all four quadrants of the coordinate plane. Interpret and compare ratios and rates.Determine the percent of a number.Compare, order, and estimate the results of computations with fractions, decimals, and percents and judge the reasonableness of the results.Advanced: Solve percent of change problems and percent problems involving consumer applications. Find the perimeter and area of polygons.Understand the concept of pi.Find the area and circumference of circles.Find the perimeter and area of composite figures.Find the volume and surface area of prisms.Advanced: Determine the volume and surface area of composite figures.