Fifth Grade Mathematics Content Standards

Fifth grade students are expected to:

• Number and operations
  • Recall and efficiently use multiplication and division facts (1-12)
  • Understand patterns, relationships and rounding in our place value system through millions/millionths
  • Add, subtract, multiply, and divide whole numbers, fractions, and decimals accurately, knowing when to use each operation and their relationship to one another
  • Determine prime factors through 50.  Write numbers as the product of their prime factors by using exponents to show multiples of a factor
  • Add and subtract positive and negative integers on a number line
  • Estimate and use exact numbers as appropriate in real life situations
• Geometry
  • Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (e.g. straightedge, ruler, compass, protractor, drawing software)
  • Know that the sum of the angles of any triangle is 180^o and the sum of the angles of any quadrilateral is 360^o and use this information to solve problems
  • Visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids
  • Measure volume, weight, length, area, time and temperature
• Function and Algebra
  • Use simple algebraic notation and solve for unknown quantities in simple equations
    Prove that a relationship between two quantities remains the same as long as the same change is made to both quantities
  • Discover, describe, and generalize patterns, including linear, exponential, and simple quadratic relationships
  • Analyze tables, graphs, and rules to determine functional relationships
  • Identify, write and graph ordered pairs in the four quadrants of a coordinate grid
  • Identify ordered pairs of data from a graph, and interpret the meaning of the data
  • Introduce linear function with integer values and graph the resulting ordered pairs of integers on a grid
• Statistics and Probability
  • Collect, organize, display, and analyze real life data and select the most effective form of communication (e.g. diagrams, graphs, charts, and tables)
  • Apply probability to real life situations, such as the use of sampling to predict outcomes and increasing the number of trials to improve accuracy
  • Express the probability of an event in fractional notation or percents
  • Compute and compare the concepts of mean, median, and mode
• Problem solving and mathematical reasoning
  • Formulate problems through selecting the appropriate approach, materials, and strategies
  • Apply a variety of strategies to logically solve problems, e.g. identify patterns, make comparisons, etc.
  • Use estimation to verify reasonableness of results
  • Apply strategies and results from simpler problems to more complex ones
• Mathematical communication
  • Organize work, explain and justify thought processes and solutions, orally and in writing, using appropriate techniques (numerical tables, equations, diagrams, charts and graphs) to communicate to a variety of audiences
  • Use collaborative skills to arrive at and enhance solutions

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