Domain |
Topic |
Skills |
Number |
Whole numbers |
- Understanding place value, factorization, the four arithmetic operations (addition, subtraction, multiplication, and division), computation, estimation, and approximation
|
Fractions and decimals |
- Using common fractions, including equivalent fractions, ordering fractions and decimals (e.g., by place value), and converting between decimals and common fractions
- Representing decimals and fractions using words, numbers,
or models (including number lines)
- Performing the four arithmetic operations with fractions, decimals, and percentages
|
Integers |
- Representing, comparing, ordering, and calculating with integers
|
Ratio, proportion, and percent |
- Understanding equivalence, dividing quantities by a given ratio, and converting between percentages and fractions or decimals
|
Algebra |
Patterns |
- Extending numeric, algebraic, or geometric patterns or sequences using words, symbols, or diagrams
- Finding missing terms and generalizing pattern relationships in a sequence, between adjacent terms in a sequence, or between the number of the term in a sequence and the term itself using words or symbols
|
Algebraic expressions |
- Finding sums, products, and powers of expressions containing variables
|
Equations and formulas |
- Solving problems using equations or formulas
|
Geometry |
Lines and angles |
- Identifying angles (e.g., acute, right, straight, obtuse, and reflex); knowing and using the properties of angle bisectors and perpendicular bisectors of lines
|
Two- and three-dimensional shapes |
- Identifying properties of geometric shapes (e.g., triangles, quadrilaterals, and other common polygons), applying geometric properties to solving problems, and calculating the length of lines, or the surface area or volume of shapes and solids (e.g., squares and cubes)
|
Congruence and similarity |
- Identifying congruent and similar features of shapes
|
Symmetry and transformations |
- Identifying geometric transformations (i.e., the results of performing translations, rotations, and reflections)
|
Data Management |
Data collection and organization |
- Calculating and displaying the mean, median, range, and shape of distributions (in general terms), and determining sample sizes for random experiments
|