Sets of Mathematics Standards


Mathematical content standards are described as the following:

1. Estimation/Number Sense/Computation-includes items that may require
students to demonstrate an understanding of numbers and their representations,
estimate and perform number operations involving addition, subtraction,
multiplication, division, percentages, fractions, ratios, and proportions of rational
and irrational numbers, as appropriate to grade level. (Illinois Learning Standards
6A, 6B, 6C, 6D; 8C)

2. Algebraic Patterns and Variables-includes items that may require students to
identify, describe, and extend geometric and numeric patterns and to construct and
solve problems using variables, as appropriate to grade level. (Illinois Learning
Standards 8A, 8D)

3. Algebraic Relationships/Representations-includes items that may require
students to represent and interpret algebraic concepts with words, diagrams, tables,
function notations, number lines, coordinate graphs, equations, and inequalities, as
appropriate to grade level. (Illinois Learning Standard 8B)

4. Geometric Concepts-includes items that may require students to identify and
describe points, lines, angles, two- and three-dimensional shapes and their
properties (including the Pythagorean Theorem). This may also include topics
involving symmetry, parallel and perpendicular lines, number of sides, faces, and
vertices, as appropriate to grade level. (Illinois Learning Standard 9A)

5. Geometric Relationships-includes items that may require students to sort,
classify, compare and contrast geometric figures. This may include properties such
as similarity and congruency, as appropriate to grade level. (Illinois Learning
Standards 9B, 9D)

6. Measurement-includes items that may require students to estimate, measure,
compare, and convert (within measurement systems) quantities using appropriate
units and acceptable levels of accuracy. This may include items that involve
computing area, surface area, and volume, as appropriate to grade level. (Illinois
Learning Standards 7 A, 78, 7C)

7 .Data Organization and Analysis-includes items that may require students to
create, analyze, display, and interpret data using a variety of graphs. This may
include items such as pictures, tallies, tables, charts, bar graphs, and Venn diagrams
and the computation of mean, median, mode, and range for a set of data, as
appropriate to grade level. (Illinois Learning Standards 10A, 10B)

8. Probability-includes items that may require students to determine, describe, and
apply the probability of an event and to use fundamental counting principles such
as permutations and combinations of simple and complex events, as appropriate to
grade level. (Illinois Learning Standard 10C)