Grade 5 Introduction: Math Practice Problems
Click for Practice Problems in Specific Strands
WASHINGTON GRADE 5 MATHEMATICS STANDARDS |
Current Washington K-12 Mathematics Standards
Operations, Algebra
Students learn efficient procedures for division. Students apply estimation and mental computation skills to justify whether a quotient is reasonable. They apply these procedures to solve problems.
Numbers, Operations, Algebra
Students use what they know about adding and subtracting whole numbers and build on a strong understanding of fractions and decimals as they begin to learn procedures for adding and subtracting fractions and decimals. Students apply these procedures, along with mental computation and estimation, to solve problems.
Geometry, Measurement, Algebra
Students learn how to measure volume and calculate volumes of rectangular prisms. They apply their knowledge of area measurement to measure and determine surface areas of rectangular prisms. Students select appropriate units, tools, and strategies, including formulas, to solve problems that involve length, area, and volume.
Operations, Geometry, Algebra
Students use variables to write simple algebraic expressions describing patterns or solutions to problems. They use what they have learned about numbers and operations to evaluate algebraic expressions and to solve simple equations. Students make tables and graphs from simple linear equations to strengthen their understanding of algebraic relationships and to see the mathematical connections between algebra and geometry.
Numbers, Geometry, Data/Statistics/Probability
Students work with common factors, common multiples, and prime numbers as preparation for learning fraction operations. They extend their use of numbers, operations, and graphing to describe and compare data sets. Students learn more about angles and triangles as a foundation for future work in geometry.
Reasoning, problem solving, and communication
Students in grade five solve problems that extend their understanding of core mathematical concepts—such as division of multi-digit numbers, surface area and volume of rectangular prisms, addition and subtraction of fractions and decimals, and use of variables in expressions and equations—as they make strategic decisions that bring them to reasonable solutions. Students use pictures, symbols, or mathematical language to explain the reasoning behind their decisions and solutions. They further develop their problem-solving skills by making generalizations about the processes used and applying these generalizations in similar problem situations.