Math Department

Elementary School Resources

Elementary Math Content Standards

Fifth Grade Content Standards

Estimation

• Use appropriate estimation strategies.
• Understand relationship between computation and estimation.
• Apply appropriate estimation strategies when solving problems.

Number Sense

• Identify, represent, compare, and order fractions, mixed numbers, decimals, and percentages using models, pictures, symbols, and words.
• Compare and order positive and negative numbers.
• Simplify fractions.
• Recognize the relationship between fractions, decimals, and percents.
• Explore bases other than ten to develop understanding of base ten system.
• Identify, represent, and explain prime number concepts using models, pictures, symbols, and words.

Concepts of Number Operations

• Use manipulatives to model, invent, interpret, and describe different problem situations for addition and subtraction of fractions and decimals.
• Write, experience, solve, and explain processes in problem solving situations.

Computation

• Demonstrate reasonable proficiency with multiplication and division involving whole numbers or money values.
• Demonstrate reasonable proficiency with addition and subtraction of decimals and fractions.
• Expand use of error analysis to decimal and fraction computation.
• Select appropriate method for computation (pencil and paper, mental math, calculator, computer).

Geometry

• Explore, identify, and describe characteristics of 2-and 3-dimensional geometric shapes.
• Perform translations and rotations of 2-dimensional shapes.
• Explore the characteristics of triangles and parallelograms; find the area and perimeter.
• Identify geometric shapes properties in architecture and natural structures.
• Draw line segments determined by locating points on a coordinate plane.

Measurement

• Develop and use formulas for finding areas of polygons.
• Find circumferences of circles.
• Measure angles with a protractor.
• Draw to scale.
• Solve real life problems involving area and perimeter.
• Find surface areas of cubes and prisms.
• Solve real life problems involving measurement.
• Become familiar with rate concepts.
• Estimate areas of circles.

Statistics

• Collect, organize, and describe data.
• Construct charts, tables, and graphs.
• Interpret, explain, and describe data from charts, tables, and graphs.
• Predict trends using charts, graphs, and tables.
• Evaluate data to determine validity, propaganda, and prejudice.

Probability

• Analyze and present probability data.
• Identify probability in real life situations.
• Conduct probability experiments where data is gathered in a variety of ways such as surveys, science experiments, newspapers, and spinners.
• Create probability story problems.

Patterns

• Develop an awareness of patterns in relationship to mathematics and the natural world.
• Conduct and analyze experiments that demonstrate how change in one quantity results in change in another.
• Extend and describe patterns represented in tables, graphs, rules, formulas, and problem solving.

Algebra

• Use symbols to represent variables in number sentences; find solutions for number sentences containing variables.
• Write and solve story problems using equations containing a variable for an unknown.
• Graph number sentences.
• Analyze graphs and tables; make predictions from graphs and tables.
• Find relationships using patterns involving multiple variables.