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Skills available for Indiana sixth-grade math standards

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Indiana Academic Standards (adopted in 2023): Grade 6 Indiana Academic Standards (adopted in 2023): Grade 6
Indiana Academic Standards (adopted in 2023): Mathematical Practices Indiana Academic Standards (adopted in 2023): Mathematical Practices
Indiana Academic Standards (adopted in 2020) Indiana Academic Standards (adopted in 2020)

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GM Geometry and Measurement

6.GM.1 Convert between measurement systems (Customary to metric and metric to Customary) given the conversion factors, and use these conversions in solving real-world problems.
- Convert between customary and metric systems (6-W.9)
6.GM.2 Apply the sums of interior angles of triangles and quadrilaterals to solve real-world and mathematical problems.
6.GM.3 Find the area of complex shapes composed of polygons by composing or decomposing into simple shapes; apply this technique to solve real-world and other mathematical problems.
- Area of compound figures (6-GG.11)
- Area of compound figures with triangles (6-GG.12)
6.GM.4 Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials) and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. (E)
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DS Data Analysis and Statistics

6.DS.1 Select, create, and interpret graphical representations of numerical data, including line plots, histograms, and box plots.
6.DS.2 Formulate statistical questions; collect and organize the data (e.g., using technology), and display and interpret the data with graphical representations (e.g., using technology). (E)
6.DS.3 Summarize numerical data sets in relation to their context in multiple ways, such as:
- 6.DS.3.a Report the number of observations;
- 6.DS.3.b Describe the nature of the attribute under investigation, including how it was measured and its units of measurement;
- 6.DS.3.c Determine quantitative measures of center (mean and/or median) and spread (range and interquartile range);
- 6.DS.3.d Describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered;
  - Changes in mean, median, mode, and range (6-JJ.5)
  - Interpret measures of center and variability (6-JJ.10)
- 6.DS.3.e Relate the choice of measures of center and spread to the shape of the data distribution and the context in which the data were gathered.
  - Choose appropriate measures of center and variation (6-JJ.12)
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NS Number Sense

6.NS.1 Use positive and negative numbers to represent and compare quantities in real-world contexts, explaining the meaning of 0 in each situation. (E)

6.NS.2 Explain how opposite signs of numbers indicate locations on opposite sides of 0 on the number line; identify the opposite of the opposite of a number.

6.NS.3 Compare and order rational numbers and plot them on a number line. Write, interpret, and explain statements of order for rational numbers in real-world contexts.

6.NS.4 Solve real-world problems with positive fractions and decimals by using one or two operations. (E)

6.NS.8 Evaluate positive rational numbers with whole number exponents.

Checkpoint opportunity

RP Ratios and Proportional Reasoning

6.RP.1 Convert between any two representations (fractions, decimals, percents) of positive rational numbers without the use of a calculator. (E)

6.RP.2 Understand the concept of a unit rate and use terms related to rate in the context of a ratio relationship.

6.RP.3 Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane.

6.RP.4 Solve real-world and other mathematical problems involving rates and ratios using models and strategies such as reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. (E)

Checkpoint opportunity

AF Algebra and Functions

6.AF.1 Define and use multiple variables when writing expressions to represent real-world and other mathematical problems, and evaluate them for given values. (E)

6.AF.2 Demonstrate which values from a specified set, if any, make the equation or inequality true. Use substitution to determine whether a given number in a specified set makes an equation or inequality true. (E)

6.AF.3 Solve equations of the form x + p = q, x – p = q, px = q, and x/p = q fluently for cases in which p, q and x are all nonnegative rational numbers. Represent real-world problems using equations of these forms and solve such problems. (E)

6.AF.5 Solve real-world and other mathematical problems by graphing points with rational number coordinates on a coordinate plane. Include the use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. (E)

Checkpoint opportunity

GM Geometry and Measurement

6.GM.1 Convert between measurement systems (Customary to metric and metric to Customary) given the conversion factors, and use these conversions in solving real-world problems.

6.GM.2 Apply the sums of interior angles of triangles and quadrilaterals to solve real-world and mathematical problems.

6.GM.3 Find the area of complex shapes composed of polygons by composing or decomposing into simple shapes; apply this technique to solve real-world and other mathematical problems.

Checkpoint opportunity

DS Data Analysis and Statistics

6.DS.1 Select, create, and interpret graphical representations of numerical data, including line plots, histograms, and box plots.

6.DS.2 Formulate statistical questions; collect and organize the data (e.g., using technology), and display and interpret the data with graphical representations (e.g., using technology). (E)

6.DS.3 Summarize numerical data sets in relation to their context in multiple ways, such as:

6.DS.3.a Report the number of observations;

6.DS.3.b Describe the nature of the attribute under investigation, including how it was measured and its units of measurement;

6.DS.3.c Determine quantitative measures of center (mean and/or median) and spread (range and interquartile range);

6.DS.3.d Describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered;

6.DS.3.e Relate the choice of measures of center and spread to the shape of the data distribution and the context in which the data were gathered.

Checkpoint opportunity