Report Card Guide: Fifth Grade Math

Report Card Guide
Grade 5 Mathematics
Third Marking Period
Dear Parents:
This report card reflects your child’s performance in many key concept areas that were addressed in
the third marking period. Since the mathematical focus changes and develops as we continue through
the school year, this guide has been developed to inform you of the specific skills and concepts
assessed this marking period. Your child’s performance level is based on his or her level of
achievement in the skills and concepts identified for the third marking period.
NUMBER AND OPERATIONS IN BASE TEN
Applies place value concepts to show an understanding of operations and rounding as they pertain to
whole numbers and decimals
 Demonstrates understanding of place value of whole numbers and decimals, and compare
quantities or magnitudes of numbers
o Demonstrates an understanding that in a multi-digit number, a digit in one place
represents 10 times what it represents in the place to its right or 1/10 of what it
represents in the place to its left
o Explains patterns in the number of zeros of the product when multiplying a number
by powers of 10
o Uses whole-number exponents to denote powers of 10
o Reads and writes decimals to thousandths using base-ten numerals, word form, and
expanded form
o Compares two decimals to thousandths based on meanings of the digits in each place
using >, = and < symbols
o Rounds decimals to the ones, tenths, hundredths, or thousandths place
Solves problems and computes accurately with whole numbers and decimals

Uses whole numbers and decimals to compute accurately (straight computation or word
problems)
o
o
o
Adds and subtracts whole numbers and decimals efficiently using a variety of
strategies
Multiplies multi-digit whole numbers and decimals (to hundredths)
Divides multi-digit whole numbers and decimals (to hundredths)

o
In division with decimals, divides as with whole numbers and REASONS to
determine the position of the decimal point
Interprets and solves multi-step problems using all four operations
NUMBER AND OPERATIONS: FRACTIONS
Uses the understanding of equivalency to add and subtract fractions

Solves addition and subtraction problems involving fractions (straight computation or word
problems)
o
Adds and subtracts fractions, including mixed numbers, with unlike denominators
using multiple methods and representations
Applies previous understandings of multiplication and division concepts to fractions

Solves multiplication and division problems involving fractions (straight computation or
word problems)
o
o
o
o
o
Solve word problems involving the division of whole numbers leading to answers in
the form of fractions or mixed numbers
Multiplies a whole number by a fraction and a fraction by a whole number
Multiplies a fraction (including mixed numbers) by a fraction
Demonstrates an understanding of multiplication as scaling (resizing)
 Example: Explain why the product of 3 x 1/3 is less than 3
Divides unit fractions by whole numbers and whole numbers by unit fractions
Gr 5 Report Card Guide MP3
CSD 2016-17
OPERATIONS AND ALGEBRAIC THINKING
Interprets and evaluates numerical expressions using order of operations
 Analyzes and completes calculations by applying the order of operations
o Uses multiple grouping symbols (parentheses, brackets, or braces) in numerical
expressions and evaluates expressions containing these symbols
o Understands that grouping symbols within a numerical expression can change the
value of the expression
o Writes simple expressions that model calculations with numbers
o Interprets numerical expressions without evaluating them
Generates



and analyzes patterns and relationships
Creates, extends, and analyzes number patterns
Generates two numerical patterns using two given rules
Identifies apparent relationships between corresponding terms of two patterns with the
same starting number that follow different rules
GEOMETRY
Graphs and interprets points on a coordinate grid to solve real world and mathematical problems
 Identifies parts of the coordinate plane (x-axis, y-axis and origin) and the ordered pair
 Represents real-world and mathematical problems by plotting points in quadrant 1 of the
coordinate plane
Classifies two-dimensional figures into categories based on an understanding of their properties
 Uses basic properties to classify two-dimensional figures
o Identifies two-dimensional figures in a hierarchy based on properties
o Classifies two-dimensional figures based on properties
MEASUREMENT AND DATA
Solves problems using conversion within given measurement system
 Converts between different-sized measurement units within the U.S. Customary or Metric
systems
 Uses a table of measurement equivalencies to:
o Solve simple conversion problems
o Solve multi-step, real-world problems involving conversions
Organizes, represents and interprets data using appropriate scale on a variety of graphs
 Organizes and displays data in tallies, tables, charts, pictographs, bar graphs, and line
graphs and uses a title, appropriate scale, and labels
 Interprets and answers single and multi-step questions based on data
 Solve problems involving computation of fractions by using information presented in line
plots
Applies concepts of volume to solve problems and relates volume to multiplication and to addition
 Uses, describes, and develops procedures to solve problems involving volume
o Develops a strategy to find the volume of any rectangular prisms
(Formulas: V= l x w x h and V= B x h)
o Explores the effect on volume when the dimensions of a box change
o Uses appropriate units to measure volume
 Example: cubic feet, cubic centimeters, cubic units
o
Finds volume of solid figures composed of two non-overlapping right rectangular
prisms
MATHEMATICAL PRACTICES
Strategically applies concepts and processes to make sense of problems and solve them
 Makes sense of and models mathematical problems and perseveres in solving them
 Approaches problems independently
 Uses math vocabulary to explain and justify reasoning
Gr 5 Report Card Guide MP3
CSD 2016-17