Gizmos for Indiana - Mathematics: 6th Grade (Academic Standards adopted 2023)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

6.NS: : Number Sense

1.1: : Students begin to apply negative integers within real-world contexts and use number lines to model opposite signed numbers as located on opposite sides of zero.

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.5: : Apply the order of operations and properties of operations (i.e., identity, inverse, commutative properties of addition and multiplication, associative properties of addition and multiplication, and distributive property) to evaluate numerical expressions with nonnegative rational numbers, including those using grouping symbols, such as parentheses, and involving whole number exponents. (E)

6.NS.6: : Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers from 1 to 100, with a common factor as a multiple of a sum of two whole numbers with no common factor.

6.NS.7: : Apply the properties of operations (i.e., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions and to justify whether two linear expressions are equivalent when the two expressions name the same number regardless of which value is substituted into them. (E)

6.RP: : Ratios and Proportional Reasoning

2.1: : Students use ratios and reasoning to compare two quantities and understand unit rate. Students use ratios and unit rates to model and solve real-world problems.

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.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)

6.AF: : Algebra and Functions

3.1: : Students evaluate algebraic expressions, write algebraic expressions to represent quantities in context, and create equivalent algebraic expressions.

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.4: : Write an inequality of the form x > c, x is greater than or equal to c, x < c, or x is less than or equal to c, where c is a rational number, to represent a constraint or condition in a real-world or other mathematical problem. Explain that inequalities have infinitely many solutions and how to represent solutions on a number line diagram.

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)

6.GM: : Geometry and Measurement

4.1: : Students find areas of complex shapes and find volumes of rectangular prisms.

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.

6.DS: : Data Analysis and Statistics

5.1: : Students represent data using line plots, histograms, and box plots.

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: (E)

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; and

Correlation last revised: 2/12/2024

Indiana - Mathematics: 6th Grade

Academic Standards | Adopted: 2023

6.NS: : Number Sense

6.RP: : Ratios and Proportional Reasoning

6.AF: : Algebra and Functions

6.GM: : Geometry and Measurement

6.DS: : Data Analysis and Statistics