NYS+Math+Standards+Grade+Five

toc [|NYS Math Standards Grade Five]

=
 Number Systems  ======
 * Read, write, compare, order numbers up to millions and down to thousandths
 * Understand place value structure of base ten system
 * Create equivalent fractions
 * Compare and order fractions
 * Understand ratio
 * Express ratios in different forms
 * Compare fractions, decimals, and percents



 * Understand prime and composite numbers
 * Understand multiples and factors of given numbers
 * Find common factors

Operations

 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Multiply three-digit by three-digit numbers
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Divide numbers with and without decimals by one and two digit numbers.
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Evaluate an arithmetic expression using order of operations.
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Simplify fractions to lowest terms
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Convert improper fractions to mixed numbers and vice versa.
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Add and subtract fractions and mixed numbers.
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Add, subtract, multiply, and divide demicals to thousands.

Estimation<span style="font-family: Tahoma,Geneva,sans-serif; font-size: 81%;">

 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Round numbers to nearest hundredth and up to 10,000
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Estimate sums and differences of fractions with like denominators
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Estimate sums, differences, products, and quotients of decimals
 * <span style="font-size: 90%; font-family: Tahoma,Geneva,sans-serif;">Justify the reasonableness of answers using estimation

Variables and Expressions

 * Define and use appropriate terminology when referring to constants, variables, and algebraic expressions
 * Translate simple verbal expressions into algebraic equations
 * Substitute assigned values into variable expressions and evaluate

Equations and Inequalities

 * Solve simple one-step equations
 * Solve and explain simple one-step equations using inverse operations
 * Evaluation perimeter

Patterns, Relations, and Functions

 * Create and explain patterns and algebraic relationships
 * Create patterns using concrete objects or visual drawings

Shapes

 * Calculate perimeter of regular and irregular polygons

Geometric Relationships

 * Identify pairs of similar and congruent triangles
 * Identify ratio of corresponding sides
 * Classify quadrilaterals and triangles by their side and angle properties
 * Know that the sum of the interior angles of a quadrilateral is 360 degrees and of a triangle is 180 degrees
 * Find a missing angle when given two angles of a triangle
 * Identify corresponding parts of congruent triangles

Transformational Geometry

 * Identify and draw lines of symmetry

Coordinate Geometry

 * Identify and plot points in the first quadrant
 * Plot points to form basic geometric shapes
 * Calculate perimeter of basic shapes drawn on a coordinate plane

Units of Measurement

 * Use a ruler to measure to the nearest 1/8 inch
 * Identify customary and metric equivalent units of length
 * Measure to the nearest centimeter
 * Convert measurement within a given system

Tools and Methods

 * Determine and use the appropriate tool to measure lengths and angles

Units

 * Calculate elapsed time in hours and minutes
 * Measure and draw angles using a protractor

Estimation

 * Determine personal references for customary and metric units of length
 * Justify the reasonableness of estimates

Collection of Data

 * Collect and record data from a variety of sources

Organization and Display of Data

 * Display data in a line graph to show trends over time

Analysis of Data

 * Calculate the mean for a given set of data and use to describe a set of data

Predictions from Data

 * Formulate conclusions and make predictions from graphs

Probability

 * List possible outcomes for a single-event experiment
 * Record experiment results using fractions/ratios
 * Create a sample space and determine probability of a single event