5th grade Mathematics worksheets

Grade 5

• 5.1The student uses mathematical processes to acquire and demonstrate mathematical understanding
• 5.1.Aapply mathematics to problems arising in everyday life, society, and the workplace
• 5.1.Buse a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution
• 5.1.Cselect tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems
• 5.1.Dcommunicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
• 5.1.Ecreate and use representations to organize, record, and communicate mathematical ideas
• 5.1.Fanalyze mathematical relationships to connect and communicate mathematical ideas
• 5.1.Gdisplay, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication
• 5.2The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value
• 5.2.Arepresent the value of the digit in decimals through the thousandths using expanded notation and numerals
• 5.2.Bcompare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =
• 5.2.Cround decimals to tenths or hundredths
• 5.3The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy
• 5.3.Aestimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division
• 5.3.Bmultiply with fluency a three-digit number by a two-digit number using the standard algorithm
• 5.3.Csolve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm
• 5.3.Drepresent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models
• 5.3.Esolve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers
• 5.3.Frepresent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models
• 5.3.Gsolve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm
• 5.3.Hrepresent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations
• 5.3.Irepresent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models
• 5.3.Jrepresent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including area models
• 5.3.Kadd and subtract positive rational numbers fluently
• 5.3.Ldivide whole numbers by unit fractions and unit fractions by whole numbers
• 5.4The student applies mathematical process standards to develop concepts of expressions and equations
• 5.4.Aidentify prime and composite numbers
• 5.4.Brepresent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity
• 5.4.Cgenerate a numerical pattern when given a rule in the form y = ax or y = x + a and graph
• 5.4.Drecognize the difference between additive and multiplicative numerical patterns given in a table or graph
• 5.4.Edescribe the meaning of parentheses and brackets in a numeric expression
• 5.4.Fsimplify numerical expressions that do not involve exponents, including up to two levels of grouping
• 5.4.Guse concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V = Bh)
• 5.4.Hrepresent and solve problems related to perimeter and/or area and related to volume
• 5.5The student applies mathematical process standards to classify two-dimensional figures by attributes and properties. The student is expected to classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties
• 5.6The student applies mathematical process standards to understand, recognize, and quantify volume
• 5.6.Arecognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible
• 5.6.Bdetermine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base
• 5.7The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving measurement. The student is expected to solve problems by calculating conversions within a measurement system, customary or metric
• 5.8The student applies mathematical process standards to identify locations on a coordinate plane