QUARTER 1

UNIT 1: PLACE VALUE

4.NBT.1 - 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.

4.NBT.2 - 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 digits in each place, using >, =, and < symbols to record the results of comparisons.

4.NBT.3 - Use place value understanding to round multi-digit whole numbers to any place.

UNIT 2: ADDITION AND SUBTRACTION - WHOLE NUMBERS

4.NBT.4 - Fluently add and subtract multi-digit whole numbers using the standard algorithm.

4.OA.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.

UNIT 3: FACTORS AND MULTIPLES

4.OA.4 - Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. 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

UNIT 4: MULTIPLY WHOLE NUMBERS

4.OA.1 - Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative comparisons as multiplication equations.

4.NBT.5 - 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. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

4.OA.3 - Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders

QUARTER 2

UNIT 5: AREA AND PERIMETER

4.MD.3 - Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

UNIT 6: DIVISION4.NBT.6 - 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. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

4.OA.2 - 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,

UNIT 7: GEOMETRIC PROPERTIES

4.G.1 - Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

4.G.2 - 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.3 - Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts.

QUARTER 3

UNIT 8: ANGLES

4.MD.5a - Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: (A) An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles.

4.MD.5b - An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

UNIT 9: ADDITION AND SUBTRACTION - FRACTIONS AND MIXED NUMBERS4.NF.1 - Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

4.NF.2 - Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole.

UNIT 10: MULTIPLYING FRACTIONS4.NF.4a - Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (a) Understand a fraction a/b as a multiple of 1/b.

4.NF.4b - Understand a multiple of a/bas a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

4.NF.4c - Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.

QUARTER 4

UNIT 11: DECIMALS

4.NF.5 - Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fraction with respective denominators 10 and 100.

4.NF.6 - Use decimal notation for fractions with denominators 10 or 100.

4.NF.7 - Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, <, and justify the conclusions, e.g., by using a visual model

UNIT 12: DATA AND MEASUREMENT

4.MD.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.

4.MD.4 - Make a line 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 line plots.

4.MD.2 - Use the four operations

UNIT 13: SHAPES AND NUMBER RULES4.OA.5 - Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.

UNIT 1: PLACE VALUE

4.NBT.1 - 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.

4.NBT.2 - 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 digits in each place, using >, =, and < symbols to record the results of comparisons.

4.NBT.3 - Use place value understanding to round multi-digit whole numbers to any place.

UNIT 2: ADDITION AND SUBTRACTION - WHOLE NUMBERS

4.NBT.4 - Fluently add and subtract multi-digit whole numbers using the standard algorithm.

4.OA.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.

UNIT 3: FACTORS AND MULTIPLES

4.OA.4 - Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. 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

UNIT 4: MULTIPLY WHOLE NUMBERS

4.OA.1 - Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative comparisons as multiplication equations.

4.NBT.5 - 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. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

4.OA.3 - Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders

QUARTER 2

UNIT 5: AREA AND PERIMETER

4.MD.3 - Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

UNIT 6: DIVISION4.NBT.6 - 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. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

4.OA.2 - 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,

UNIT 7: GEOMETRIC PROPERTIES

4.G.1 - Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

4.G.2 - 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.3 - Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts.

QUARTER 3

UNIT 8: ANGLES

4.MD.5a - Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: (A) An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles.

4.MD.5b - An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

UNIT 9: ADDITION AND SUBTRACTION - FRACTIONS AND MIXED NUMBERS4.NF.1 - Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

4.NF.2 - Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole.

UNIT 10: MULTIPLYING FRACTIONS4.NF.4a - Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (a) Understand a fraction a/b as a multiple of 1/b.

4.NF.4b - Understand a multiple of a/bas a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

4.NF.4c - Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.

QUARTER 4

UNIT 11: DECIMALS

4.NF.5 - Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fraction with respective denominators 10 and 100.

4.NF.6 - Use decimal notation for fractions with denominators 10 or 100.

4.NF.7 - Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, <, and justify the conclusions, e.g., by using a visual model

UNIT 12: DATA AND MEASUREMENT

4.MD.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.

4.MD.4 - Make a line 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 line plots.

4.MD.2 - Use the four operations

UNIT 13: SHAPES AND NUMBER RULES4.OA.5 - Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.