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5th Grade

Operations and Algebraic Thinking

Write and interpret numerical expressions.

5.OA.1.  use parentheses in numerical expressions, and evaluate expressions with parentheses
5.OA.2.  interpret expressions without evaluating them

ex. interpret the expression 2 x (8+7) as “add 8 and 7, then multiply by 2”  

Analyze patterns and relationships

5.OA.3  identify relationships in a given pattern.  If given two patterns, compare the relationship that may or may not exist between them.

Numbers and Operations in Base Ten

Understand the place value system.

5.NBT.1  Understand that one place value to the left is 10 times as much as the place to the right and 1/10 of what is to the left.  
5.NBT.2  Understand how to multiply and divide by powers of ten.  
5.NBT.3  Read, write, and compare decimals to the thousandths.
a.  Write decimal numbers in expanded form.
b.  Compare decimals using comparison symbols.
5.NBT.4  Round decimals to a specified place value.
5.NBT.5  Use whole- number exponents to denote powers of 10.  

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.6  Fluently multiply multi-digit whole numbers.
5.NBT.7  Find whole number quotients of whole numbers with up to four-digit dividends and two-digit divisors.  
5.NBT.8  Add, subtract, multiply, and divide decimals to hundredths.

Number and Operations-Fractions

Use equivalent fractions as a strategy to add and subtract fractions

5.NF.1 Add and subtract fractions and mixed numbers with unlike denominators.  
5.NF.2 Solve word problems involving addition and subtractions of fractions referring to the same whole object, and use number sense to to assess the reasonableness of an answer.

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
5.NF.3 Understand that a fraction is a division problem and be able to write a remainder as a fractional part of a mixed number.
ex. ¾ is 3÷4 and 9/2=4 ½
5.NF.4 Apply and extend previous understanding of multiplication to multiply a fraction or whole number by a fraction.
a.  Find the area of a rectangle with fractional side lengths.  
5.NF.5  Interpret multiplication as scaling.  Multiplying a given number by a fraction greater than one results in a product greater than the given number.  Multiplying a given number by a fraction less than one results in a product smaller than the given number.
5.NF.6  Solve real world problems involving multiplication of fractions and mixed numbers.  
5.NF.7  Apply and extend previous understandings of division to divide unit fractions by wholel numbers and whole numbers by unit fractions.  
a.  Interpret and compute division of a fraction by a non-zero whole number.
b.  Interpret and compute division of a whole number by a fraction.
c.  Solve real world problems involving division of fractions by a non-zero whole number

and division of whole numbers by unit fractions.  

5.MD Measurement and Data

Convert like measurement units within a given measurement system.  

5.MD.1  Convert among different-sized standard measurement units within a given measurement system.  

Represent and Interpret Data

5.MD.2  Make a graph to display a set of data.  

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

5.MD.3  Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
5.MD.4  Measure volume by counting cubic units.  
5.MD.5  Calculate the volume of rectangular prisms using the volume formulla (V = l x w x h) and be able to apply this to real-world situations.  
a.  Be able to calculate the volume of irregular prisms that can be broken down into 2 or

more rectangular prisms.  

5.G Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.  

5.G.1 Use the coordinate plane to graph an ordered pair (x,y).  
5.G.2  Graph real world situations in the first quadrant on the coordinate plane.

Classify two-dimensional figures into categories based on their properties.

5.G.3  Classify polygons according to their attributes.
5.G.4   Classify two-dimensional figures based on properties.  
ex.  List all the polygons that have 2 pairs of parallel sides.