Middle Level Mathematics (Grades 5–8) Subtest 1

For example:

• demonstrating knowledge of order, magnitude, mental mathematics, place value, and the reasonableness of results
• demonstrating knowledge of the structure and properties of number systems and their subsets (e.g., integer, rational, complex)
• translating between equivalent representations of numbers, including representations of complex numbers

For example:

• using prime and composite numbers, prime factorizations, greatest common factors, and least common multiples to solve mathematical and real-world problems
• demonstrating knowledge of basic number operations and the relationships between them, including alternative computational algorithms
• applying and justifying the properties (e.g., associative, distributive) of number operations

For example:

• analyzing methods of estimation and the reasonableness of estimates
• selecting the best problem-solving approach to apply in a particular situation
• solving problems involving absolute value, integers, fractions, decimals, percents, integer exponents, and scientific notation using different strategies and representations
• solving and representing problems using ratios and proportional reasoning