- Develop concepts of fractions, mixed numbers, and decimals

- Develop number sense for fractions and decimals

Grades 6-8, page 213

Numbers can be written in different forms, depending on how they are being used. How fractions or decimals based on measured quantities should be written depends on how precise the measurements are and how precise an answer is needed.

*Benchmarks* 12B (Habits of Mind: Computation and Estimation)

Grades 6-8, page 291

Decide what degree of precision is adequate and round off the result
of calculator operations to enough significant figures to reasonably reflect
those of the inputs.

- Use models to relate fractions to decimals and to find equivalent fractions
- Use models to explore operations on fractions and decimals
- Apply fractions and decimals to problem situations

*Benchmarks* 11B (Common Themes: Models)

Grades 6-8, page 269

Mathematical models can be displayed on a computer then modified to
see what happens.

*Benchmarks* 2A (The Nature of Mathematics: Patterns and Relationships)

Grades 3-5, page 27

Mathematical ideas can be represented concretely, graphically, and
symbolically.

*Benchmarks* 11B (Common Themes: Models)

Grades 3-5, page 268

Geometric figures, number sequences, graphs, diagrams, sketches, number
lines, maps, and stories can be used to represent objects, events, and
processes in the real world, although such representations can never be
exact in every detail.

Grades K-2, page 290

Use whole numbers and simple, everyday fractions in ordering, counting, identifying, measuring, and describing things and experiences.

*Benchmarks* 9A (The Mathematical World: Numbers)

Grades K-2, page 211

Sometimes in sharing or measuring there is a need to use numbers *between*
whole numbers.

*Benchmarks* 12B (Habits of Mind: Computation and Estimation)

Grades 3-5, page 290

Use fractions and decimals, translating when necessary between decimals
and commonly encountered fractions halves, thirds, fourths, fifths, tenths,
and hundredths (but not sixths, sevenths, etc.).