Measurement And Data
Measure And Estimate Lengths In Standard Units.
2.MD.A.1
Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.
Number And Operations-Fractions*
Develop Understanding Of Fractions As Numbers.
3.NF.A.1
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
*Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
Operations And Algebraic Thinking
Solve Problems Involving The Four Operations, And Identify And Explain Patterns In Arithmetic.
3.OA.D.8
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.*
*This standard is limited to problems posed with whole numbers and having wholenumber answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Measurement And Data
Solve Problems Involving Measurement And Estimation Of Intervals Of Time, Liquid Volumes, And Masses Of Objects.
3.MD.A.2
Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).* Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.**
*Excludes compound units such as cm3 and finding the geometric volume of a container.
**Excludes multiplicative comparison problems (problems involving notions of “times as much”; see Glossary, Table 2)
Measurement And Data
Measure And Estimate Lengths In Standard Units.
2.MD.A.2
Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.
Measurement And Data
Measure And Estimate Lengths In Standard Units.
2.MD.A.3
Estimate lengths using units of inches, feet, centimeters, and meters.
Measurement And Data
Geometric Measurement: Understand Concepts Of Area And Relate Area To Multiplication And To Addition.
3.MD.C.5
Recognize area as an attribute of plane figures and understand concepts of area measurement.
Measurement And Data
Solve Problems Involving Measurement And Conversion Of Measurements From A Larger Unit To A Smaller Unit.
4.MD.A.1
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two- column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ...
Geometry
Reason With Shapes And Their Attributes.
3.G.A.2
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
Number And Operations-Fractions*
Develop Understanding Of Fractions As Numbers.
3.NF.A.3
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
*Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
Number And Operations-Fractions
Apply And Extend Previous Understandings Of Multiplication And Division To Multiply And Divide Fractions.
5.NF.B.7
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.*
*Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.
Number And Operations-Fractions*
Build Fractions From Unit Fractions By Applying And Extending Previous Understandings Of Operations On Whole Numbers.
4.NF.B.3
Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
*Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Number And Operations-Fractions*
Build Fractions From Unit Fractions By Applying And Extending Previous Understandings Of Operations On Whole Numbers.
4.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
*Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Operations And Algebraic Thinking
Use The Four Operations With Whole Numbers To Solve Problems.
4.OA.A.3
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.