6.PAR.6 Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations. 

• 6.PAR.6.1 Write and evaluate numerical expressions involving rational bases and whole-number exponents.

  • R1: I can interpret mathematical situations to write numerical expressions involving whole number exponents. 

  • R2: I can interpret mathematical situations to evaluate numerical expressions involving whole number exponents. 

• 6.PAR.6.2 Determine greatest common factors and least common multiples using a variety of strategies to make sense of applicable problems. 

  • K1: I can identify the factors of two whole numbers less than or equal to 100. 

  • K2: I find the Greatest Common Factor of two whole numbers less than or equal to 100. 

  • R1: I can apply the distributive property using sums and its use in adding numbers 1- 100 with a common factor. 

  • K3: I can identify multiples of two whole numbers less than or equal to 12. 

  • K4: I can find the Least Common Multiple of two whole numbers less than or equal to 12.

  • R2: I can apply the least common multiple of two whole numbers less than or equal to 12 to solve applicable, mathematical problems.

6.PAR.6.3 Write and read expressions that represent operations with numbers and variables in realistic situations.

• R1: I can use letters called variables to represent unknown numbers.

• R2: I can apply the same rules of operations (Order of Operations) with numbers to operations with variables. 

• R3: I can use numbers and variables to evaluate expressions. 

• R4: I can translate from written form into algebraic (variable) expression.

• K1: I can identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.

6.PAR.6 Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations. 

• 6.PAR.6.4 Evaluate expressions when given values for the variables, including expressions that arise in everyday situations. 

  • K1: I can substitute specific values for variables. 

  • R1: I can evaluate algebraic expressions for a given value of a variable, using the order of operations when applied to everyday situations.

  • R2: I can perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). 

• 6.PAR.6.5 Apply the properties of operations to identify and generate equivalent expressions.

  • R1: I can identify and generate equivalent expressions by using the properties of operations. (such as the distributive property, associative property, and commutative property.)

  • R2: I can identify and generate equivalent expressions by combining like terms. 

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

• 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.