Grade 5 – Performance Indicators

Process Stands

Number Sense & Operations

5.PS.1 Know the difference between relevant and irrelevant information when solving problems

5.N.2    Compare and order numbers to millions

5.PS.2 Understand that some ways of representing a problem are more efficient than others

5.N.3    Understand the place value structure of the base ten number system

10 ones = 1 ten

10 tens = 1 hundred

10 hundreds = 1 thousand

10 thousands = 1 ten thousand

10 ten thousands = 1 hundred thousand

10 hundred thousands = 1 million

5.PS.3   Interpret information correctly, identify the problem, and generate possible strategies and solutions

5.N.4    Create equivalent fractions, given a fraction

5.PS.4 Act out or model with manipulatives activities involving mathematical content from literature

5.N.5    Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.

5.PS.5Formulate problems and solutions from everyday situations

5.N.6    Understand the concept of ratio

5.PS.6 Translate from a picture/diagram to a numeric expression

5.N.7    Express ratios in different forms

5.PS.7   Represent

 problem situations

verbally,numerically, algebraically,and/or graphically

5.N.8    Read, write, and order decimals to thousandths

5.PS.8 Select an appropriate representation of a problem

5.N.9    Compare fractions using <, >, or =

5.PS.9 Understand the basic language of logic in mathematical situations (and, or, not)

5.N.10 Compare decimals using <, >, or = 

5.PS.10 Work in collaboration with others to solve problems

5.N.11 Understand that percent means part of 100, and write percents as fractions and decimals

5.PS.11 Translate from a picture/diagram to a number or symbolic expression

5.N.12 Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite)

5.PS.12 Use trial and error and the process of elimination to solve problems

5.N.13 Calculate multiples of a whole number and the least common multiple of two numbers

5.PS.13 Model problems with pictures/diagrams or physical objects

5.N.14 Identify the factors of a given number

5.PS.14 Analyze

problems by observing patterns

5.N.15 Find the common factors and the greatest common factor of two numbers

5.PS.15 Make organized lists or charts to solve numerical problems

5.N.16 Use a variety of strategies to multiply three-digit by three-digit

numbers Note: Multiplication by anything greater than a three-digit multiplier/ multiplicand should be done using technology

5.PS.16 Discuss with peers to understand a problem situation

5.N.17 Use a variety of strategies to divide three-digit numbers by one- and two-digit numbers Note: Division by anything greater than a two-digit divisor should be done using technology.

5.PS.17 Determine what information is needed to solve problem

5.N.18 Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses

5.PS.18 Determine the efficiency of different representations of a problem

5.N.19 Simplify fractions to lowest terms

5.PS.19 Differentiate between valid and invalid approaches

5.N.20 Convert improper fractions to mixed numbers, and mixed numbers to improper fractions

5.PS.20 Understand valid counterexamples

5.N.21 Use a variety of strategies to add and subtract fractions with like denominators

5.PS.21 Explain the methods and reasoning behind the problem solving strategies used

5.N.22 Add and subtract mixed numbers with like denominators

5.PS.22 Discuss whether a solution is reasonable in the context of the original problem

5.N.23 Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths

5.PS.23 Verify results of a problem

5.N.24 Round numbers to the nearest hundredth and up to 10,000

5.N.1    Read and write whole numbers to millions

5.N.25 Estimate sums and differences of fractions with like denominators

Number Sense & Operations

Measurement

5.N.26 Estimate sums, differences, products, and quotients of decimals

5.M.1  Use a ruler to measure to the nearest inch, and  inch

5.N.27 Justify the reasonableness of answers using estimation

5.M.2   Identify customary equivalent units of length

Algebra

5.M.3  Measure to the nearest centimeter

5.A.1    Define and use appropriate terminology when referring to constants, variables, and algebraic expressions

5.M.4  Identify equivalent metric units of length

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

5.M.5  Convert measurement within a given system

5.A.3    Substitute assigned values into variable expressions and evaluate using order of operations

5.M.6 Determine the tool and technique to measure with an appropriate level of precision: lengths and angles

5.A.4    Solve simple one-step equations using basic whole-number facts 

5.M.7  Calculate elapsed time in hours and minutes

5.A.5    Solve and explain simple one-step equations using inverse operations involving whole numbers 

Probability & Statistics

5.A.6    Evaluate the perimeter formula for given input values

5.S.1   Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)

5.A.7    Create and explain patterns and algebraic relationships (e.g.,2,4,6,8...) algebraically: 2n (doubling)

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

5.A.8    Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade geometric shapes)

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

Geometry

5.S.4    Formulate conclusions and make predictions from graphs

5.G.1   Calculate the perimeter of regular and irregular polygons

5.S.5    List the possible outcomes for a single-event experiment 

5.G.2  Identify pairs of similar triangles

5.S.6    Record experiment results using fractions/ratios 

5.G.3   Identify the ratio of corresponding sides of similar triangles

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)

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.10Identify corresponding parts of congruent triangles

5.G.11 Identify and draw lines of symmetry of basic geometric shapes

5.G.12Identify and plot points in the first quadrant

5.G.13Plot 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)