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Delaware sixth-grade math standards

IXL's sixth-grade skills will be aligned to the 2006 Delaware Grade Level Expectations soon! Until then, you can view a complete list of sixth-grade standards below. Be sure to check out the unlimited math practice problems in IXL's 241 sixth-grade skills.

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6.1 Numeric Reasoning: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of real numbers; to use operations with understanding; and to select appropriate methods of calculations from among mental math, paper-and-pencil, calculators, or computers.
  • 6.1.1 Number sense
  • 6.1.1.1 Expand understanding of the number system to include numbers in the millions
  • 6.1.1.2 Use factors and multiples to demonstrate part whole relationships
  • 6.1.1.3 Use factors and multiples to develop equivalent fraction families
  • 6.1.1.4 Scale up or scale down fraction and whole number measurements (e.g., recipes)
  • 6.1.1.5 Use place value structure to describe the size of decimals
  • 6.1.1.6 Demonstrate equivalence of decimals, fractions, and percents using multiple models
  • 6.1.2 Operations
  • 6.1.2.1 Multiply fractions by whole numbers and explain the result
  • 6.1.2.2 Multiply fractions by other fractions using physical models, ratio/rate tables, and arrays
  • 6.1.2.3 Connect multiplication by a unit fraction (such as 1/3,1/4, 1/5, 1/10, 1/100) to division by its multiplicative inverse (3, 4, 5, 10, 100) using models
  • 6.1.2.4 Add and subtract fractions with unlike denominators and use physical models to justify your answer
  • 6.1.2.5 Calculate the decimal equivalent of fractions
  • 6.1.2.6 Use benchmark percents to solve problems
  • 6.1.2.7 Explain the role of place value in adding and subtracting decimals
  • 6.1.2.8 Multiply decimals to solve real-world problems (e.g., find the cost of 3 1/2 pounds of grapes at $1.95 per pound)
  • 6.1.2.9 Describe in which situations an estimate is preferable and in which situations the exact answer is required
  • 6.1.2.10 Select and use appropriate methods and tools for computing (e.g., mental computation, estimation, calculators, paper, and pencil) depending on the context and nature of the computation
6.2 Algebraic Reasoning: Students will develop Algebraic Reasoning and an understanding of Patterns and Functions by solving problems in which there is a need to recognize and extend a variety of patterns; to progress from the concrete to the abstract using physical models, equations, and graphs; to describe, represent, and analyze relationships among variable quantities; and to analyze, represent, model, and describe real-world functional relationships.
  • 6.2.1 Patterns and change
  • 6.2.1.1 Use an expression or rule to describe patterns of change in numeric and geometric patterns
  • 6.2.2 Representations
  • 6.2.2.1 Demonstrate that a given situation may be represented by a table, graph or equation
  • 6.2.2.2 Explore informal methods to model and solve real-world situations that involve equivalent fractions (e.g., use a table of equivalent ratios to solve proportional reasoning problems)
  • 6.2.2.3 Create a table and scatter plot to represent the relationship between two variables
  • 6.2.3 Symbols
  • 6.2.3.1 Use inverse operations to "do and undo" number sentences
6.3 Geometric Reasoning: Students will develop Geometric Reasoning and an understanding of Geometry and Measurement by solving problems in which there is a need to recognize, construct, transform, analyze properties of, and discover relationships among geometric figures; and to measure to a required degree pf accuracy by selecting appropriate tools and units.
  • 6.3.1 Classification
  • 6.3.1.1 Estimate, measure, and classify angles
  • 6.3.1.2 Identify geometric relationships in the real world (e.g., parallel lines, perpendicular lines, etc.)
  • 6.3.1.3 Explore the measure of a single angle and find the sum of the angles of a regular polygon
  • 6.3.2 Location and transformation
  • 6.3.2.1 Measure angles and sides to demonstrate that transformations such as reflections (flips), translations (slides), and rotations (turns) maintain congruence
  • 6.3.2.2 Identify the properties of shapes that tile a plane
  • 6.3.3 Measurement
  • 6.3.3.1 Use the conceptual knowledge of the area of rectangles to develop formulas for the areas of triangles and parallelograms
  • 6.3.3.2 Demonstrate an understanding that the perimeters of rectangles with a fixed area can vary
  • 6.3.3.3 Demonstrate an understanding that the areas of rectangles with a fixed perimeter can vary
  • 6.3.3.4 Find the ratio of the circumference to the diameter of a circular objects to obtain an estimate of pi
  • 6.3.3.5 Use an angle ruler or protractor to measure angles
  • 6.3.3.6 Sketch a geometric figure given the measure of turn angles and the length of sides
  • 6.3.3.7 Find the circumference of circles and explore finding the area.
6.4 Quantitative Reasoning: Students will develop Quantitative Reasoning and an understanding of Data Analysis and Probability by solving problems in which there is a need to collect, appropriately represent, and interpret data; to make inferences or predictions and to present convincing arguments; and to model mathematical situations to determine the probability.
  • 6.4.1 Collect
  • 6.4.1.1 Collect and organize numerical (whole number or decimal) data in order to answer a question
  • 6.4.2 Represent
  • 6.4.2.1 Construct displays of data (e.g., circle graphs, scatter plots, frequency counts) for a single data set
  • 6.4.3 Analyze
  • 6.4.3.1 Defend conclusions drawn from the interpretation of data by comparing one data set to another
  • 6.4.3.2 Find and use summary measures of center (mean, median, mode) and spread (range) to compare sets of single variable data
  • 6.4.4 Probability
  • 6.4.4.1 Use real-world data to estimate the probability of future events (e.g., batting averages, weather predictions)
  • 6.4.4.2 Analyze simple games to determine favorable outcomes and chances of winning or losing