2.1 Identify A È B, A Ç B, A-B, A' and A X B for given sets A and B.

2.2 Use Venn diagrams to illustrate set operations.

3.1 Identify properties of early numeration systems.

3.2 Compare properties of early numeration systems.

3.3 Write numbers in Roman and other systems.

4.1 State a formal definition for the operations of addition, subtraction, multiplication, and division.

4.2 Justify exponent rules for products, quotients, and powers.

4.3 Explain the standard addition algorithm, subtraction algorithm, multiplication algorithm, and division algorithm, using place values and properties of those operations.

5.1 Illustrate the properties of whole number multiplication and addition, including closure, associativity, commutativity, identity, and the distributive property of multiplication over addition.

5.2 Demonstrate that subtraction and division do not have the properties of closure, associativity, commutativity, and identity.

6.1 Use estimation strategies to predict results and determine whether a result is reasonable.

6.2 Use various mental math techniques, such as using properties, using compatible numbers, and multiplying by special factors.

7.1 Define "prime number" and "composite number."

7.2 Classify a given number as "prime" or "composite."

7.3 Demonstrate the fundamental theorem of arithmetic.

7.4 State the rules for determining whether a number is divisible by 2, 3, 4, 5, 6, 8, and 9.

7.5 Use the sieve of Erastosthenes to find prime numbers.

7.6 Find the greatest common factor and least common multiple of a given pair of numbers.

8.1 Define "real," "rational," and "irrational" numbers.

8.2 Identify numbers as "rational" or "irrational."

8.3 State a definition of "less than" for whole numbers and for rational numbers.

8.4 Order rational numbers.

9.1 Demonstrate the rules for computing with fractions, using appropriate models.

9.2 Demonstrate the rules for computing with decimals.

9.3 Demonstrate methods for solving percent problems.

9.4 Demonstrate how to find the sum, the difference, the product, and the quotient of two integers.

9.5 Explain why division by 0 is not allowed.

9.6 Demonstrate how to solve problems involving ratios and proportions.

10.1 Calculate the sum, the difference, the product, and the quotient of two integers.

10.2 Calculate the sum, the difference, the product, and the quotient of two rational numbers expressed as fractions.

10.3 Calculate the sum, the difference, the product, and the quotient of two rational numbers expressed in decimal form.

10.4 Perform addition, subtraction, multiplication, and division in various number bases.

11.1 State a definition for various polygons, including the triangle, quadrilateral, pentagon, hexagon, and octagon.

11.2 Give an abstract description of geometric terms including the point, line, plane, space, line, ray, line segment, angles, parallel lines, perpendicular lines, and skew lines.

12.1 Solve problems by using the Pythagorean theorem.

12.2 Solve problems by using similar figures.

12.3 Solve problems using angles.

12.4 Solve problems concerning the perimeter of a polygon.

12.5 Solve problems concerning the circumference of a circle.

12.6 Solve problems concerning the area of geometric figures, including circles, parallelograms, and trapezoids.

12.7 Solve problems concerning the volume of geometric figures, including spheres, cones, cylinders, pyramids, and prisms.

14.1 Construct graphs such as a line plot, stem and leaf plot, histogram, pictograph, circle graph, and line graph to represent real life data.

14.2 Identify misleading graphs.

14.3 Calculate measures such as the mean, median, mode, variance, and standard deviation of a set of numbers.

14.4 Define "sample space" and "probability."

14.5 Solve "counting" problems and simple probability problems.