6.NR.2Operations in Applications

Expectations

• 6.NR.2.1

  Describe and interpret the center of the distribution by the equal share value (mean).

• 6.NR.2.2

  Summarize categorical and quantitative (numerical) data sets in relation to the context: display the distributions of quantitative (numerical) data in plots on a number line, including dot plots, histograms, and box plots and display the distribution of categorical data using bar graphs.

• 6.NR.2.3

  Interpret numerical data to answer a statistical investigative question created. Describe the distribution of a quantitative (numerical) variable collected, including its center, variability, and overall shape.

• 6.NR.2.4

  Design simple experiments and collect data. Use data gathered from realistic scenarios and simulations to determine quantitative measures of center (median and/or mean) and variability (interquartile range and range). Use these quantities to draw conclusions about the data, compare different numerical data sets, and make predictions.

• 6.NR.2.5

  Relate the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

• 6.NR.2.6

  Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Create data displays using a dot plot or box plot to examine this impact.

Georgia Milestones coverage

• Mathematics Grade 6 (EOG) · Numerical Reasoning

  Apply operations with whole numbers, fractions, and decimals within relevant applications.

  about 14% of the test · 8 points

What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning

Given a data set in a list, identify how to distribute the data into equal shares. Determine the mean, median, or range of a data set.

Developing

Given a data set in a data display, describe how to distribute the data into equal shares. Identify a bar graph, box plot, dot plot, or histogram that matches a data set. Determine the interquartile range of a data set. Identify data sets where the mean and the median are not the same. Describe the impact that inserting or deleting a data point has on the mean or median.

Proficient

Create a bar graph, box plot, dot plot, or histogram that summarizes a data set. Describe the distribution of a data set by using the mean, median, interquartile range, mean absolute deviation, range, and overall shape. Use quantitative measures of center and variability to draw conclusions about data sets and make predictions based on comparisons. Given a realistic situation, describe how the mean and median are affected differently by outliers. Create a data display to demonstrate the impact that inserting or deleting a data point has on the mean and/or median.

Distinguished

Solve relevant problems involving numerical data, using bar graphs, dot plots, and box plots to display the data. Describe the center, variability, and overall distribution of the data, including the impact of including or deleting points.

The same standard across grades

1. Kindergarten · K.NR.2

   Use count sequences within 100 to count forward and backward in sequence.

2. Grade 1 · 1.NR.2

   Explain the relationship between addition and subtraction and apply the properties of operations to solve real-life addition and subtraction problems within 20.

3. Grade 2 · 2.NR.2

   Apply multiple part-whole strategies, properties of operations and place value understanding to solve real-life, mathematical problems involving addition and subtraction within 1,000.

4. Grade 4 · 4.NR.2

   Using part-whole strategies, solve problems involving addition and subtraction through the hundred-thousands place, as well as multiplication and division of multi-digit whole numbers presented in real-life, mathematical situations.

5. Grade 5 · 5.NR.2

   Multiply and divide multi-digit whole numbers to solve relevant, mathematical problems.

6. Grade 6 · 6.NR.2 (this standard)

   Apply operations with whole numbers, fractions and decimals within relevant applications.

7. Grade 8 · 8.NR.2

   Solve problems involving radicals and integer exponents including relevant application situations; apply place value understanding with scientific notation and use scientific notation to explain real phenomena.