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SOESD / Technology & Media Services / Media Materials Library / ODE Standards / Oregon Common Core State Standards for Mathematics / Overview of Oregon Common Core State Standards for 5th Grade

Overview of Oregon Common Core State Standards for 5th Grade

Mathematics | Grade 5

In Grade 5, instructional time should focus on three 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); (2) extending division to 2©\digit 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; and (3) developing understanding of volume.

Critical Area #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.)

Critical Area #2

Extending division to 2©\digit 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 operation.

Students develop understanding of why division procedures work based on the meaning of base©\ten numerals and properties of operations. They finalize fluency with multi©\digit 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.

Critical Area #3

Developing understanding of volume.

Students recognize volume as an attribute of three©\dimensional space. They understand that volume can be measured by finding the total number of same©\size units of volume required to fill the space without gaps or overlaps. They understand that a 1©\unit by 1©\unit by 1©\unit 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 three©\dimensional 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.

How to read the grade level standards

Standards define what students should understand and be able to do.

Clusters are groups of related standards. Note that standards from different clusters may sometimes be closely related, because mathematics is a connected subject.

Domains are larger groups of related standards. Standards from different domains may sometimes be closely related.



 

Grade 5 Overview
 


A.  Write  and  interpret  numerical  expressions.  

B.  Analyze  patterns  and  relationships.  

C.  Understand  the  place  value  system.  

D.  Perform  operations  with  multidigit  whole  numbers  and  with  decimals  to  hundredths.  

E.  Use  equivalent  fractions  as  a  strategy  to  add  and  subtract  fractions.  

F.  Apply  and  extend  previous  understandings  of  multiplication  and  division  to  multiply  and  divide  fractions.  

G.  Convert  like  measurement  units  within  a  given  measurement  system.  

H.  Represent  and  interpret  data.  

I.  Geometric  measurement:  understand  concepts  of  volume  and  relate  volume  to  multiplication  and  to  addition.  

J.  Graph  points  on  the  coordinate  plane  to  solve  realworld  and  mathematical  problems.  

K.  Classify  twodimensional  figures  into  categories  based  on  their  properties.

 
 

Mathematical  Practices          5.MP  

The  Standards  for  Mathematical  Practice  describe  varieties  of  expertise  that  mathematics  educators  at  all  levels  should  seek  todevelop  in  their  students.  

5.MP.1   Make  sense  of  problems  and  persevere  in  solving  them.  

5.MP.2   Reason  abstractly  and  quantitatively.  

5.MP.3   Construct  viable  arguments  and  critique  the  reasoning  of  others.  

5.MP.4  Model  with  mathematics.  

5.MP.5   Use  appropriate  tools  strategically.  

5.MP.6  Attend  to  precision.  

5.MP.7   Look  for  and  make  use  of  structure.  

5.MP.8   Look  for  and  express  regularity  in  repeated  reasoning.  

 

 


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