Unit 
Topic 
Standards 
1 
Geometry
(September) 

2 
Place Value and Decimal Computation
(September  October) 

3 
Whole Number Multiplication and Volume
(November  December) 

4 
Whole Number Division
(January) 

5 
Addition and Subtraction of Fractions
(February) 

6 
Multiplying and Dividing Fractions
(March) 

7 
Multiplying and Dividing Decimals
(March  April) 

8 
Algebraic Thinking and Coordinate Planes
(April  May) 

9 
Division Algorithm and Application of Standards
(June) 

In Grade 5 there are 3 critical areas:
(1) Developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions): Students apply their understanding of fractions and fraction models to represent the addition and subtraction of fractions with unlike denominators as equivalent calculations with like denominators. They develop fluency in calculating sums and differences of fractions, and make reasonable estimates of them. Students also use the meaning of fractions, of multiplication and division, and the relationship between multiplication and division to understand and explain why the procedures for multiplying and dividing fractions make sense. (Note: this is limited to the case of dividing unit fractions by whole numbers and whole numbers by unit fractions.)
(2) Extending division to 2digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations: Students develop understanding of why division procedures work based on the meaning of baseten numerals and properties of operations. They finalize fluency with multidigit addition, subtraction, multiplication, and division. They apply their understandings of models for decimals, decimal notation, and properties of operations to add and subtract decimals to hundredths. They develop fluency in these computations, and make reasonable estimates of their results. Students use the relationship between decimals and fractions, as well as the relationship between finite decimals and whole numbers (i.e., a finite decimal multiplied by an appropriate power of 10 is a whole number), to understand and explain why the procedures for multiplying and dividing finite decimals make sense. They compute products and quotients of decimals to hundredths efficiently and accurately.
(3) Developing understanding of volume: Students recognize volume as an attribute of threedimensional space. They understand that volume can be measured by finding the total number of samesize units of volume required to fill the space without gaps or overlaps. They understand that a 1unit by 1unit by 1unit cube is the standard unit for measuring volume. They select appropriate units, strategies, and tools for solving problems that involve estimating and measuring volume. They decompose threedimensional shapes and find volumes of right rectangular prisms by viewing them as decomposed into layers of arrays of cubes. They measure necessary attributes of shapes in order to determine volumes to solve real world and mathematical problems.