Kentucky 4th grade math standards

Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative comparisons as multiplication equations.

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern not explicit in the rule itself.

Multiply or divide to solve word problems involving multiplicative comparisons by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

Perform operations in the conventional order when there are no parentheses to specify a particular order.

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 computations and estimation strategies including rounding.

Find all factor pairs for a given whole number.

Recognize that a whole number is a multiple of each of its factors.

Determine whether a given whole number is a multiple of a given one-digit number.

Determine whether a given whole number is prime or composite.

Fluently add and subtract multi-digit whole numbers using an algorithm.

Recognize 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.

Multiply whole numbers - Up to four digit number by a one-digit number - Two-digit number by two-digit number Multiply using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays and/or area models.

Divide up to four-digit dividends by one-digit divisors. Find whole number quotients and remainders using - strategies based on place value - the properties of operations - the relationship between multiplication and division Illustrate and explain the calculation by using equations, rectangular arrays and/or area models.

Read and write multi-digit whole numbers using base-ten numerals, number names and expanded form.

Compare two multi-digit numbers based on meanings of the digit in each place, using >, =, and < symbols to record the results of comparisons.

Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint and understand concepts of angle measurement.

Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

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.

Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

Understand the relationship of measurement units within any given measurement system.

Within any given measurement system, express measurements in a larger unit in terms of a smaller unit.

Record measurement equivalents in a two-column table.

Solve measurement problems involving whole number, simple fractions or decimals.

Solve problems that require converting a given measurement from a larger unit to a smaller unit within a common measurement system, such as 2 km = 2,000 m.

Visually display measurement quantities using representations such as number lines that feature a measurement scale.

Identify a statistical question focused on numerical data.

Make a dot plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8).

Solve problems involving addition and subtraction of fractions by using information presented in dot plots.

Draw points, lines, line segments, rays, angles (right, acute, obtuse) and perpendicular and parallel lines. Identify these in two- dimensional figures.

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence of absence of angles of a specified size. Recognize right triangles as a category and identify right triangles.

Recognize a line of symmetry for a two-dimensional figure.

Identify line-symmetric figures and draw lines of symmetry.

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

Decomposing a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions.

Add and subtract mixed numbers with like denominators.

Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

Understand a fraction a/b as a multiple of 1/b.

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

Solve word problems involving multiplication of a fraction by a whole number.

Use decimal notation for fractions with denominators 10 or 100.

Compare two fractions with different numerators and different denominators using the symbols <, =, or >. Recognize comparisons are valid only when the two fractions refer to the same whole. Justify the conclusions.

Use visual fraction models to recognize and generate equivalent fractions that have different numerators/denominators even though they are the same size.

Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b)..

Convert a fraction with a denominator of 10 to an equivalent fraction with a denominator of 100.

Add two fractions with respective denominators 10 and 100.

Compare two decimals to hundredths by reasoning about their size.

Recognize that comparisons are valid only when the two decimals refer to the same whole.

Record the results of comparisons with the symbols >, =, or < and justify the conclusions.