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Skills available for Colorado fifth-grade math standards

Standards are in black and IXL math skills are in blue. Hold your mouse over the name of a skill to view a sample problem. Click on the name of a skill to practice that skill.

5.1 Students develop number sense and use numbers and number relationships in problem-solving situations and communicate the reasoning used in solving these problems.
5.2 Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.
5.3 Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning used in solving these problems.
5.4 Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.
5.5 Students use a variety of tools and techniques to measure, apply the results in problem-solving situations, and communicate the reasoning used in solving these problems.
  • 5.5.1 Estimate, use and describe measures of distance, perimeter, area, volume, capacity, weight, mass, and angle comparison.
  • 5.5.1.a Determine the appropriate unit of measure (metric and US customary) when estimating distance, capacity, and weight.
  • 5.5.1.b Estimate the length of common objects.
  • 5.5.1.c Estimate the perimeter of polygons.
  • 5.5.1.d Estimate the measures of angles (for example, 90º, less than 90º, more than 90º).
  • 5.5.1.e Describe angles as acute, obtuse and right.
  • 5.5.2 Estimate, make, and use direct and indirect measurements to describe and make comparisons.
  • 5.5.3 Read and interpret various scales including those based on number lines, graphs, and maps.
  • 5.5.3.a Read and interpret scales on number lines, graphs, and maps.
  • 5.5.3.b Select the appropriate scale for a given problem (for example, using the appropriate scale when setting up a graph).
  • 5.5.4 Develop and use formulas and procedures to solve problems involving measurement.
  • 5.5.4.a Find the perimeter and area of rectangles and squares, using appropriate units.
  • 5.5.5 Describe how a change in an object's linear dimensions affects its perimeter, area, and volume.
  • 5.5.5.a Demonstrate how changing one of the dimensions of a rectangle affects its perimeter (using concrete materials or graph paper).
  • 5.5.5.b Demonstrate how changing in one of the dimensions of a rectangle affects its area (using concrete materials or graph paper).
  • 5.5.6 Select and use appropriate units and tools to measure to the degree of accuracy required in a particular problemsolving situation.
  • 5.5.6.a Select and use the appropriate unit and tool to measure to the degree of accuracy required in a particular problem.
  • 5.5.6.b Measure the sides of rectangles, squares, and triangles to the nearest 1/4 inch and nearest centimeter.
5.6 Students link concepts and procedures as they develop and use computational techniques, including estimation, mental arithmetic, paper-and-pencil, calculators, and computers, in problem-solving situations and communicate the reasoning used in solving these problems.