Washington Math Standards - 5th Grade

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5.1. Core Content: Multi-digit division
5.1.A Represent multi-digit division using place value models and connect the representation to the related equation.
5.1.B Determine quotients for multiples of 10 and 100 by applying knowledge of place value and properties of operations. (Multiply By Multiples Of 10 )
5.1.C Fluently and accurately divide up to a four-digit number by one- or two-digit divisors using the standard long-division algorithm. (Long Division By One Digit , Long Division , Division with Remainders , Long Division with Remainders , Small Decimal Division )
5.1.D Estimate quotients to approximate solutions and determine reasonableness of answers in problems involving up to two-digit divisors. (Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )
5.1.E Mentally divide two-digit numbers by one-digit divisors and explain the strategies used. (Long Division By One Digit , Division with Remainders )
5.1.F Solve single- and multi-step word problems involving multi-digit division and verify the solutions. (Word Problems With Remainders )

5.2. Core Content: Addition and subtraction of fractions and decimals
5.2.A Represent addition and subtraction of fractions and mixed numbers using visual and numerical models, and connect the representation to the related equation.
5.2.B Represent addition and subtraction of decimals using place value models and connect the representation to the related equation.
5.2.C Given two fractions with unlike denominators, rewrite the fractions with a common denominator. (Fraction Addition , Fraction Subtraction )
5.2.D Determine the greatest common factor and the least common multiple of two or more whole numbers. (Greatest Common Factor , Least Common Multiple )
5.2.E Fluently and accurately add and subtract fractions, including mixed numbers. (Basic Fraction Addition , Fraction Addition , Basic Fraction Subtraction , Fraction Subtraction )
5.2.F Fluently and accurately add and subtract decimals. (Making Change , Decimal Addition , Decimal Subtraction )
5.2.G Estimate sums and differences of fractions, mixed numbers, and decimals to approximate solutions to problems and determine reasonableness of answers. (Money Addition , Money Subtraction )
5.2.H Solve single- and multi-step word problems involving addition and subtraction of whole numbers, fractions (including mixed numbers), and decimals, and verify the solutions. (Making Change , Fraction Word Problems )

5.3. Core Content: Triangles and quadrilaterals
5.3.A Classify quadrilaterals. (Quadrilateral Types )
5.3.B Identify, sketch, and measure acute, right, and obtuse angles.
5.3.C Identify, describe, and classify triangles by angle measure and number of congruent sides. (Triangle Types )
5.3.D Determine the formula for the area of a parallel-ogram by relating it to the area of a rectangle. (Parallelogram Area )
5.3.E Determine the formula for the area of a triangle by relating it to the area of a parallelogram. (Triangle Area )
5.3.F Determine the perimeters and areas of triangles and parallelograms. (Triangle Area , Parallelogram Area )
5.3.G Draw quadrilaterals and triangles from given information about sides and angles.
5.3.H Determine the number and location of lines of symmetry in triangles and quadrilaterals.
5.3.I Solve single- and multi-step word problems about the perimeters and areas of quadrilaterals and triangles and verify the solutions. (Perimeter and Area Word Problems )

5.4. Core Content: Representations of algebraic relationships
5.4.A Describe and create a rule for numerical and geometric patterns and extend the patterns. (Patterns: Numbers , Patterns: Shapes , Function Tables , Function Tables 2 )
5.4.B Write a rule to describe the relationship between two sets of data that are linearly related. (Function Tables , Function Tables 2 )
5.4.C Write algebraic expressions that represent simple situations and evaluate the expressions, using substitution when variables are involved. (Variable Substitution , Algebraic Sentences )
5.4.D Graph ordered pairs in the coordinate plane for two sets of data related by a linear rule and draw the line they determine.

5.5. Additional Key Content
5.5.A Classify numbers as prime or composite. (Prime Numbers )
5.5.B Determine and interpret the mean of a small data set of whole numbers. (Mean, Median, Mode )
5.5.C Construct and interpret line graphs. (Line Graphs )

5.6. Core Processes: Reasoning, problem solving, and communication (Word Problems With Remainders , Making Change , Fraction Word Problems , Triangle Area 2 )
5.6.A Determine the question(s) to be answered given a problem situation.
5.6.B Identify information that is given in a problem and decide whether it is essential or extraneous to the solution of the problem.
5.6.C Determine whether additional information is needed to solve the problem.
5.6.D Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.
5.6.E Select and use one or more appropriate strategies to solve a problem, and explain the choice of strategy.
5.6.F Represent a problem situation using words, numbers, pictures, physical objects, or symbols.
5.6.G Explain why a specific problem-solving strategy or procedure was used to determine a solution.
5.6.H Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question.
5.6.I Summarize mathematical information, draw conclusions, and explain reasoning.
5.6.J Make and test conjectures based on data (or information) collected from explorations and experiments.

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