- standard
Apply and extend previous understandings of multiplication and division to multiply and divide fractions
- 5th Grade
- Michigan State Math Standards
- Number and Operations—Fractions
Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For examp…
- standard
Graph points on the coordinate plane to solve real-world and mathematical problems.
- 5th Grade
- Michigan State Math Standards
- Geometry
Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in t…
- standard
Graph points on the coordinate plane to solve real-world and mathematical problems.
- 5th Grade
- Michigan State Math Standards
- Geometry
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with…
- standard
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition
- 5th Grade
- Michigan State Math Standards
- Measurement and Data
Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlappi…
- standard
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition
- 5th Grade
- Michigan State Math Standards
- Measurement and Data
Apply the formulas V =(l)(w)(h) and V = (b)(h) for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context…
- standard
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition
- 5th Grade
- Michigan State Math Standards
- Measurement and Data
Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be fou…
- standard
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition
- 5th Grade
- Michigan State Math Standards
- Measurement and Data
A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
- standard
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition
- 5th Grade
- Michigan State Math Standards
- Measurement and Data
A cube with side length 1 unit, called a "unit cube" is said to have "one cubic unit" of volume, and can be used to measure volume.
- standard
Represent and interpret data
- 5th Grade
- Michigan State Math Standards
- Measurement and Data
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems inv…
- standard
Convert like measurement units within a given measurement system
- 5th Grade
- Michigan State Math Standards
- Measurement and Data
Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving…
- standard
Perform operations with multi-digit whole numbers and with decimals to hundredths
- 5th Grade
- Michigan State Math Standards
- Number and Operations in Base Ten
Perform operations with multi-digit whole numbers and with decimals to hundredths. Find whole-number quotients of whole numbers with up to four-digit dividend…
- standard
Perform operations with multi-digit whole numbers and with decimals to hundredths
- 5th Grade
- Michigan State Math Standards
- Number and Operations in Base Ten
Fluently multiply multi-digit whole numbers using the standard algorithm.
- standard
Understand the place value system
- 5th Grade
- Michigan State Math Standards
- Number and Operations in Base Ten
Understand the place value system. Use place value understanding to round decimals to any place.
- standard
Understand the place value system
- 5th Grade
- Michigan State Math Standards
- Number and Operations in Base Ten
Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.