The skills demonstrated by students at each mathematics performance level are described below. The five performance levels are applicable at all three age groups (9-, 13-, and 17-years-of-age); however, the likelihood of attaining higher performance levels is related to a student's age.

**LEVEL 350: Multistep Problem Solving and Algebra**

Students at this level can apply a range of reasoning skills to solve multistep problems. They can solve routine problems involving fractions and percents, recognize properties of basic geometric figures, and work with exponents and square roots. They can solve a variety of two-step problems using variables, identify equivalent algebraic expressions, and solve linear equations and inequalities. They are developing an understanding of functions and coordinate systems.

**LEVEL 300: Moderately Complex Procedures and Reasoning**

Students at this level are developing an understanding of number systems. They can compute with decimals, simple fractions, and commonly encountered percents. They can identify geometric figures, measure lengths and angles, and calculate areas of rectangles. These students are also able to interpret simple inequalities, evaluate formulas, and solve simple linear equations. They can find averages, make decisions based on information drawn from graphs, and use logical reasoning to solve problems. They are developing the skills to operate with signed numbers, exponents, and square roots.

**LEVEL 250: Numerical Operations and Beginning Problem Solving**

Students at this level have an initial understanding of the four basic operations. They are able to apply whole number addition and subtraction skills to one-step word problems and money situations. In multiplication, they can find the product of a two-digit and a one-digit number. They can also compare information from graphs and charts, and are developing an ability to analyze simple logical relations.

**LEVEL 200: Beginning Skills and Understandings**

Students at this level have considerable understanding of two-digit numbers. They can add two-digit numbers but are still developing an ability to regroup in subtraction. They know some basic multiplication and division facts, recognize relations among coins, can read information from charts and graphs, and use simple measurement instruments. They are developing some reasoning skills.

**LEVEL 150: Simple Arithmetic Facts**

Students at this level know some basic addition and subtraction facts, and most can add two-digit numbers without regrouping. They recognize simple situations in which addition and subtraction apply. They also are developing rudimentary classification skills.

Explore the long-term trend reading performance levels.

Find out how long-term trend performance levels are established.

Last updated 25 June 2013 (FW)

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