New York Grade 5 math standards
The Grade 5 math outcomes we teach, in the standards's own words, with the lessons and practice pages for each. Pick an outcome code for the full list of lessons and printables.
New York State Next Generation Mathematics Learning Standards.
NY-5.G.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond.
Practice: Grade 4 Common Core Math: Geometry and Measurement · Grade 5 Common Core Math: Geometry and Measurement
NY-5.G.2 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
Practice: Data Detectives workbook · Grade 5 Common Core Math: Geometry and Measurement
NY-5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
Practice: Grade 5 Ontario Math: Spatial Sense
NY-5.G.4 Classify two-dimensional figures in a hierarchy based on properties.
Practice: Grade 5 Common Core Math: Geometry and Measurement
NY-5.MD.1 Convert among different-sized standard measurement units within a given measurement system when the conversion factor is given. Use these conversions in solving multi-step, real world problems.
Practice: Grade 5 Common Core Math: Geometry and Measurement
NY-5.MD.2 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots.
Practice: Data Detectives workbook
NY-5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Practice: Grade 5 Common Core Math: Patterns and Algebraic Thinking · Grade 5 Common Core Math: Number and Operations
NY-5.NBT.2 Use whole-number exponents to denote powers of 10. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
NY-5.NBT.3 Read, write, and compare decimals to thousandths.
NY-5.NBT.4 Use place value understanding to round decimals to any place.
NY-5.NBT.5 Fluently multiply multi-digit whole numbers using a standard algorithm.
NY-5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
NY-5.NBT.7 Using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between operations: add and subtract decimals to hundredths; multiply and divide decimals to hundredths. Relate the strategy to a written method and explain the reasoning used.
Practice: Grade 5 Common Core Math: Data and Graphs · Grade 5 Common Core Math: Number and Operations
NY-5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
NY-5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
Practice: Grade 5 Ontario Math: Algebra
NY-5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
Practice: Grade 5 Common Core Math: Patterns and Algebraic Thinking
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