Unit 
Topic 
Standards 
1 
Addition and Subraction
(September) 
 Read and write multidigit whole nubers using baseten numerals, numbers names, and expanded form.
 Compare 2 multidigit numbers based on meanings of the digits in each place using symbols to recored the results.
 Use place value understanding to round multdigit numbers to any place.
 Fluenty add and subtract multidigit whole numbers using the standard algorithm.

2 
Multiplication and Division
(September  November) 
 Find all factors pairs of a whole numbers to 100.
 Recognize that a whole numbers is a multiple of each of its factors.
 Determine whether a given whole numbers is prime or composite.
 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.
 Recognize that in a multidigit whole number, a digit in one place represents 10 times what it represents in the place to its right.
 Find whole number quotients and remainders with up to 4digit dividends and 1digit divisors using strategies based on plae value, properties of operations, and/or the relationships between mutliplication and division.
 Illustrate and explain calculations using equations, rectangular arrays, and/or area models.
 Solve multistep word problems with whole numbers using the 4 operations, including problems which remaiders must be interpreted.
 Represent word problems using equations with a letter standing for the unknown.
 Assess the rewasonablement of answers using mental computation and estimation.
 Apply the area and perimeter formulas for rectangles in mathematical problems

3 
Decomposing and Composing Fractions
(November  December) 
 Understand addition and subraction of fractions as joining and separating parts referring to the same whole.
 Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation.
 Explain equivalance of fractions using models with attention to how the number and size of the parts differ.
 Generate equivalent fractions.
 Compare two fractions with a different numerators and different denominators.
 Recognize that fraction comparisons are only valid if they refer to the same size whole.
 Record results of comparisons using symbols and justify the conclusions.

4 
Addition and Sutraction of Fractions
(December  January) 
 Add and subtract mixed numbers with like denominators.
 Solve word problems involving addition and subtraction of fractions referring to the same shole and having like denominators.
 Express a fraction with denominator 10 as an equivalent fraction with denominator 100.
 Use decimal notation for fractions with denominators 10 or 100.
 Compare 2 decimals to hundredths by reasoning about their size. Recognize that comparisons are only valid whenn the relate to the same size whole.
 Make a line plot to display a data set of measurements in fractions of a unit.
 Solve problems involving addition and subraction of fractions by using information presented in line plots.

5 
Geometry and Patterns
(February  March) 
 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand the concepts of angle measurement.
 Measure angles in whole number degrees using a protractor.
 Sketch angles with a sprecified measure.
 Recognize angle measure as additive.
 Generate shape patterns that follow a given rule.
 Draw points, lines, line segments, rays, angles, and perpendicular and parallel lines. Identify thise in 2dimensional figures.
 Classify 2dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence of absence of angles of a specified size.
 Recognize triangles as a category and identify right triangles.
 Recognize a line of symmetry for a 2dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts.
 Identify linesymmetric figures and draw lines of symmetry.

6 
Multiplicative Comparisons and Measurement
(March  April) 
 Interpret a multiplication equation as a comparison.
 Represent verbal statements of multiplicative comparisons as multiplication equations.
 Multiply or divide to solve word problems involving multiplicative comparison.
 Solve multistep word problems posed with whole numbers and having whole number answers using the 4 operations.
 Assess the reasonableness of answers using mental computation and estimation.
 Know relative sizes of measurement units within one system of units and convert units wihtin a single measurement system.
 Record measurent equivalents in 2column tables.
 Generate a coversion table listing the number pairs.
 Use the 4 operations to solve word problems involving distance, intervals of time, liquid volumes, masses, of objects, and money.

7 
Multiplying Fraction by Whole Numbers
(May) 
 Interpret a multiplication equation as a comparison.
 Represent verbal statements of multiplicative comparisons as multiplication equations.
 Understand a fraction as a multiple of unit fractions.
 Solve word problems involving multiplication of a fraction by a whole number.
 Explain why a fraction is equivalent to another fraction using visual models with attention to how the number and size fo the parts differ even though the fractions are the same size.

8 
Measurement Problem Solving
(June) 
 Know relative sizes of measurement with one system of units.
 Generate a conversion table listing the nmber pairs.
 Use the 4 operations to solve word problems involving distance, intervals of time, liquid volumes, masses, of objects, and money.
 Apply are and perimeter formulas for rectangles in mathematical problems.
