Place Value
Identifying numbers
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.
4.NBT.A.2
Place Value
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. Use place value understanding to round multi-digit whole numbers to any place.
4.NBT.A.1, 4.NBT.A.3
Add & Subtract
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
4.NBT.B.4
Multiplication
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations.
4.NBT.B.5
Division I
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.
4.NBT.B.6
Division II
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.
4.NBT.B.6
Division III
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.
4.NBT.B.6
Basic Operations
Word Problems
Interpret a multiplication equation as a comparison Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
4.OA.A.1, 4.OA.A.2
Multiple Operations
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.
4.OA.A.3
Factors
Find all factor pairs for a whole number in the range 1-100. Recognize that a
4.OA.B.4
Multiples
Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.
4.OA.B.4
Measurement & Data
Units of Measurement
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.
4.MD.A.1
Measurement Word Problems
Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
4.MD.A.2
Area & Perimeter
Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
4.MD.A.3
Measuring Angles I
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement
4.MD.C.5
Measuring Angles II
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems.
4.MD.C.7
Measuring Angles III
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
4.MD.C.6
Geometry
Identifying Angles & Lines
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
4.G.A.1
Identifying Figures
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
4.G.A.2
