| Category Title | Problems |
|---|
| Understand, represent, and use numbers in a variety of forms (integer,
fraction, decimal, percent, exponential, expanded and scientific notation)
| 124 |
| Understand and apply ratios, proportions, and percents through a wide
variety of hands-on explorations | 50 |
| Develop an understanding of number theory (primes, factors and multiples)
| 52 |
| Recognize order relations for decimals, integers and rational numbers
| 56 |
| Category Title | Problems |
|---|
| Add, subtract, multiply and divide fractions, decimals, and integers | 56 |
| Explore and use the operations dealing with roots and powers | 48 |
| Use grouping symbols (parenthesis) to clarify the intended order of
operations | 32 |
| Apply the associative, communicative, and distributive properties, and
inverse and identity elements | 84 |
| Demonstrate an understanding of operational algorithms (procedures for
adding, subtracting, etc.) | 30 |
| Develop appropriate proficiency with facts and algorithms | 18 |
| Apply concepts of ratio and proportion to solve problems | 50 |
| Category Title | Problems |
|---|
| Visualize, represent and transform two- and three-dimensional shapes | 24 |
| Use maps and scale drawings to represent real objects or places | 26 |
| Use the coordinate plane to explore geometric ideas | 60 |
| Represent numerical relationships in one- and two-dimensional graphs | 40 |
| Use variables to represent relationships | 32 |
| Use concrete materials and diagrams to describe the operation of real-world
processes and systems | 14 |
| Develop and explore models that do and do not rely on chance | 36 |
| Investigate both two- and three-dimensional transformations | 40 |
| Use appropriate tools to construct and verify geometric relationships
| 56 |
| Develop procedures for basic geometric constructions | 36 |
| Category Title | Problems |
|---|
| Estimate, make and use measurements in real-world situations | 54 |
| Select appropriate standard and nonstandard measurement units and tools to
measure to a desired degree of accuracy | 66 |
| Develop measurement skills and informally derive and apply formulas in
direct measurement activities | 64 |
| Use statistical methods and measures of central tendencies to display,
describe, and compare data | 56 |
| Explore and produce graphic representations of data (calculators/computers
may be used) | 22 |
| Develop critical judgment for the reasonableness of measurement | 12 |
| Category Title | Problems |
|---|
| Recognize, describe, and generalize a wide variety of patterns and functions
| 24 |
| Describe and represent patterns and functional relationships using tables,
charts, graphs, algebraic expressions, rules and verbal descriptions | 24 |
| Develop methods to solve basic linear and quadratic equations | 72 |
| Develop an understanding of functions and functional relationships; that a
change in one quantity (variable) results in a change in another | 38 |
| Verify results of substituting variables | 24 |
| Apply the concept of similarity in relevant situations | 34 |
| Use properties of polygons to classify them | 32 |
| Explore relationships involving points, lines, angles and planes | 20 |
| Develop and apply the Pythagorean principle in the solution of problems
| 8 |
| Explore and develop basic concepts of right angle trigonometry | 34 |
| Use patterns and functions to represent and solve problems | 12 |
| Category Title | Problems |
|---|
| Apply formulas to find measure such as length, area, volume, weight, time,
and angle in real-world contexts | 54 |
| Choose and apply appropriate units and tools in measurement situations
| 14 |
| Use dimensional analysis techniques | 12 |
| Use statistical methods including measures of central tendency to
describe and compare data | 36 |
| Use trigonometry as a method to measure indirectly | 10 |
| Apply proportions to scale drawings and direct variation | 88 |
| Relate absolute value, distance between two points, and the slope of a line
to the coordinate plane | 54 |
| Explain the role of error in measurement and its consequence on subsequent
calculations | 44 |
| Use geometric relationships in relevant measurement problems involving
geometric concepts | 36 |
