5.NR.4 Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.

• 5.NR.4.1 Read and write decimal numbers to the thousandths place using base ten numerals written in standard form and expanded form. 

  • I can read and write decimal numbers to the thousandths place written in the standard form.

  • I can read and write decimal numbers to the thousandths place written in the expanded form.

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

5.NR.4 Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.

• 5.NR.4.2  Represent, compare, and order decimal numbers to the thousandths place based on the meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

  • I can use a variety of tools to represent decimals to the thousandths place.

  • I can use <, >, and = symbols to record comparisons of decimals.

  • I can compare and order decimals to the thousandths place.

  • I can use a variety of tools and strategies to explain the comparisons of decimals to the thousandths place.

• 5.NR.4.3 Use place value understanding to round decimal numbers to the hundredths place.

  • I can use a variety of tools to round decimals to the hundredths place.

  • I can solve real world problems involving rounding decimals to the nearest hundredth.

• 5.NR.4.3.1 Utilize number lines to round by locating decimals on a number line to determine the nearest multiple of base ten decimal of 0.1, or 0.01. 

5.NR.4 Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.

• 5.NR.4.4  Solve problems involving addition and subtraction of decimal numbers to the hundredths place using a variety of strategies. 

  • I can add decimals to the hundredths.

  • I can subtract decimals to the hundredths 

  • I can solve problems involving the addition and subtraction of decimals to the hundredths, using concrete models, multiple strategies, the relationship of addition and subtraction, and operation properties.

  • I can relate the strategy to a written method.

  • I can explain the strategy used to solve decimal operations.

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

• 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.