5.NR.3 Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.

• 5.NR.3.5 Explain why multiplying a whole number by a fraction greater than one results in a product greater than the whole number, and why multiplying a whole number by a fraction less than one results in a product less than the whole number and multiplying a whole number by a fraction equal to one results in a product equal to the whole number.

  • I can interpret the product of the whole number multiplied by a fraction that is 1, less than 1, and greater than 1.

• 5.NR.3.6 Model and solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

  • I can divide unit fractions by a whole number.

  • I can divide whole numbers by a unit fraction.

  • I can solve real world problems involving the division of unit fractions by whole numbers and whole numbers by unit fractions.

6.NR.1 Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers. 

• 6.NR.1.1 Fluently add and subtract any combination of fractions to solve problems.

  • R1: I can add fractions accurately and efficiently by using effective methods and strategies.  

  • R2: I can subtract fractions accurately and efficiently by using effective methods and strategies.  

• 6.NR.1.2 Multiply and divide any combination of whole numbers, fractions, and mixed numbers using a student-selected strategy. Interpret products and quotients of fractions and solve word problems.

  • K1: I can multiply any combination of whole numbers, fractions, and mixed numbers accurately using an effective method and/or strategy.

  • R1: I can interpret products of fractions and solve word problems. 

  • K2: I can divide any combination of whole numbers, fractions, and mixed numbers accurately using an effective method and/or strategy.

  • R2: I can interpret quotients of fractions and solve word problems. 

• 6.NR.1.3 Perform operations with multi-digit decimal numbers fluently using models and student-selected strategies.

  • K1: I can fluently add, subtract, multiply, and divide multi-digit decimals accurately using effective methods and/or strategies. 

6.NR.2 Apply operations with whole numbers, fractions and decimals within relevant applications.

• 6.NR.2.1 Describe and interpret the center of the distribution by the equal share value (mean).

  • K1: I can describe a set of data by the mean.

  • R1: I can interpret the mean of a set of data.

• 6.NR.2.2 Describe and interpret the center of the distribution by the equal share value (mean). 

  • K1: I can create a dot plot, histogram, box plot, and bar graph to display a set of numerical data. 

  • R1: I can summarize data in relation to the context.

  • R2: I can interpret data in a dot plot, histogram, box plot, and bar graph.

• 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. 

  • K1: I can find the distribution of a data set (range, IQR, and MAD).

  • R1: I can describe a set of data by its center (mean and median).

  • R2: I can describe a set of data by its spread 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.

  • K1: I can design simple experiments and collect data.

  • R1: I can use data gathered from experiments and determine measures of center and variability.

  • R2: I can use measures of center and variability to draw conclusions and make predictions about data. 

  • R3: I can use measures of center and variability to compare different numerical data sets. 

• 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. 

  • K1: I can identify outliers in a data set.

  • R1: I can summarize numerical data sets in relation to its context.

• 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. 

  • R1: I can describe the effect of inserting or deleting data on the mean and median. 

  • P1: I can create data displays to show how inserting or deleting data impacts the shape of data distribution.

6.NR.2.7 Recognize, create and ask statistical questions that anticipate variability in the data.

• K1: I can understand a statistical question is a question about a real-world context that addresses variability and can be answered with data.

• R1: I can create statistical questions with the collection of data with expected variability in it.

• R2: I can ask, formulate and answer statistical questions, drawing conclusions based on those answers.