CONTENT STRANDS 
Number Sense and Operations Strand 
Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number
systems. 
Number Systems 
5.M.1  Use a ruler to measure to the nearest inch, 1/2, 1/4, and 1/8 inch 
5.M.2  Identify customary equivalent units of length 
5.M.3  Measure to the nearest centimeter 
5.M.4  Identify equivalent metric units of length 
5.M.5  Convert measurement within a given system 
5.M.6  Determine the tool and technique to measure with an appropriate level of precision: lengths and angles

5.M.7  Calculate elapsed time in hours and minutes 
5.M.8  Measure and draw angles using a protractor 
5.M.9  Determine personal references for customary units of length (e.g., your pace is approximately 3 feet, your
height is approximately 5 feet, etc.) 
5.M.10  Determine personal references for metric units of length 
5.M.11  Justify the reasonableness of estimates 

Number Theory 
5.N.12  Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple
divisors (composite) 
5.N.13  Calculate multiples of a whole number and the least common multiple of two numbers 
5.N.14  Identify the factors of a given number 
5.N.15  Find the common factors and the greatest common factor of two numbers 

Students will understand meanings of operations and procedures, and how they relate to one another. 
Operations 
5.N.16  Use a variety of strategies to multiply threedigit by threedigit numbers 
5.N.17  Use a variety of strategies to divide threedigit numbers by one and twodigit numbers 
5.N.18  Evaluate an arithmetic expression using order of operations including multiplication, division, addition,
subtraction and parentheses 
5.N.19  Simplify fractions to lowest terms 
5.N.20  Convert improper fractions to mixed numbers, and mixed numbers to improper fractions 
5.N.21  Use a variety of strategies to add and subtract fractions with like denominators 
5.N.22  Add and subtract mixed numbers with like denominators 
5.N.23  Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths 

Students will compute accurately and make reasonable estimates. 
Estimation 
5.N.24  Round numbers to the nearest hundredth and up to 10,000 
5.N.25  Estimate sums and differences of fractions with like denominators 
5.N.26  Estimate sums, differences, products, and quotients of decimals 
5.N.27  Justify the reasonableness of answers using estimation 


Algebra Strand 
Students will represent and analyze algebraically a wide variety of problem solving situations. 
Variables and Expressions 
5.A.1  Define and use appropriate terminology when referring to constants, variables, and algebraic expressions

5.A.2  Translate simple verbal expressions into algebraic expressions 

Students will perform algebraic procedures accurately. 
Variables and Expressions 
5.A.3  Substitute assigned values into variable expressions and evaluate using order of operations 

Equations and Inequalities 
5.A.4  Solve simple onestep equations using basic wholenumber facts 
5.A.5  Solve and explain simple onestep equations using inverse operations involving whole numbers 
5.A.6  Evaluate the perimeter formula for given input values 

Students will recognize, use, and represent algebraically patterns, relations, and functions. 
Patterns, Functions, and Relations 
5.A.7  Create and explain patterns and algebraic relationships (e,g.,2,4,6,8...) algebraically: 2n
(doubling) 
5.A.8  Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade
geometric shapes) 


Geometry Strand 
Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric
shapes. 
Shapes 
5.G.1  Calculate the perimeter of regular and irregular polygons 

Students will identify and justify geometric relationships, formally and informally. 
Geometric Relationships 
5.G.2  Identify pairs of similar triangles 
5.G.3  Identify the ratio of corresponding sides of similar triangles 
5.G.4  Classify quadrilaterals by properties of their angles and sides 
5.G.5  Know that the sum of the interior angles of a quadrilateral is 360 degrees 
5.G.6  Classify triangles by properties of their angles and sides 
5.G.7  Know that the sum of the interior angles of a triangle is 180 degrees 
5.G.8  Find a missing angle when given two angles of a triangle 
5.G.9  Identify pairs of congruent triangles 
5.G.10  Identify corresponding parts of congruent triangles 

Students will apply transformations and symmetry to analyze problem solving situations. 
Transformational Geometry 
5.G.11  Identify and draw lines of symmetry of basic geometric shapes 

Students will apply coordinate geometry to analyze problem solving situations. 
Coordinate Geometry 
5.G.12  Identify and plot points in the first quadrant 
5.G.13  Plot points to form basic geometric shapes (identify and classify) 
5.G.14  Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of
rectangles having sides with integer lengths and parallel to the axes) 


Measurement Strand 
Students will determine what can be measured and how, using appropriate methods and formulas. 
Units of Measurement 
5.M.1  Use a ruler to measure to the nearest inch, 1/2, 1/4, and 1/8 inch 
5.M.2  Identify customary equivalent units of length 
5.M.3  Measure to the nearest centimeter 
5.M.4  Identify equivalent metric units of length 
5.M.5  Convert measurement within a given system 
5.M.6  Determine the tool and technique to measure with an appropriate level of precision: lengths and angles


Students will use units to give meaning to measurements. 
Units 
5.M.7  Calculate elapsed time in hours and minutes 
5.M.8  Measure and draw angles using a protractor 

Students will develop strategies for estimating measurements. 
Estimation 
5.M.9  Determine personal references for customary units of length (e.g., your pace is approximately 3 feet, your
height is approximately 5 feet, etc.) 
5.M.10  Determine personal references for metric units of length 
5.M.11  Justify the reasonableness of estimates 


Statistics and Probability Strand 
Students will collect, organize, display, and analyze data. 
Collection of Data 
5.S.1  Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)


Organization and Display of Data 
5.S.2  Display data in a line graph to show an increase or decrease over time 

Analysis of Data 
5.S.3  Calculate the mean for a given set of data and use to describe a set of data 

Students will make predictions that are based upon data analysis. 
Predictions from Data 
5.S.4  Formulate conclusions and make predictions from graphs 

Students will understand and apply concepts of probability. 
Probability 
5.S.5  List the possible outcomes for a singleevent experiment 
5.S.6  Record experiment results using fractions/ratios 
5.S.7  Create a sample space and determine the probability of a single event, given a simple experiment (e.g.,
rolling a number cube) 