#### 7.NSO-N: Number Sense

7.NSO-N.2: Know that in decimal form, rational numbers either terminate or eventually repeat; locate rational numbers on the number line; convert between common repeating decimals and fractions.

7.NSO-N.3: Know the concept of absolute value (e.g., |–3| = |3| = 3).

7.NSO-N.5: Differentiate between rational and irrational numbers (i.e., know that irrational numbers cannot be expressed as the quotient of two integers and cannot be represented by terminating or repeating decimals).

7.NSO-N.6: Interpret positive whole-number powers as repeated multiplication and negative powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.

7.NSO-N.8: Express ratios in several ways (e.g., 3 cups to 5 people; 3:5; 3/5); recognize and find equivalent ratios.

7.NSO-N.9: Know the meaning of a square root of a number and its connection to the square whose area is the number.

#### 7.NSO-C: Computation and Operations

7.NSO-C.10: Compute with fractions (including simplification of fractions), integers, decimals, and percentages (including those greater than 100 and less than 1) using the four operations and combinations of the four operations.

7.NSO-C.11: Demonstrate an understanding of the properties of arithmetic operations on rational numbers (integers, fractions, and terminating decimals); convert terminating decimals into reduced fractions.

7.NSO-C.13: Calculate the percentage increase and decrease of a quantity.

7.NSO-C.14: Use ratios and proportions in the solution of problems involving unit rates, scale drawings, and reading of maps.

7.NSO-C.17: Use the inverse relationships of addition/subtraction and multiplication/division to simplify computations and solve problems (e.g., multiplying by 1/2 or 0.5 is the same as dividing by 2).

7.NSO-C.18: Use the associative, commutative, and distributive properties; properties of the identity and inverse elements (e.g., -7 + 7 = 0; 3/4 x 4/3 = 1) to solve problems.

7.NSO-C.19: Know and apply the Order of Operations rules to expressions involving powers and roots.

#### 7.NSO-E: Estimation

7.NSO-E.20: Estimate results of computations with rational numbers; determine estimates to a certain stated accuracy.

#### 7.PRA: Patterns, Relations, and Algebra

7.PRA.3: Use the correct order of operations to evaluate expressions (e.g., 3(2x) = 5).

7.PRA.4: Create and use symbolic expressions for linear relationships, and relate them to verbal and graphical representations.

7.PRA.5: Use variables and appropriate operations to write an expression, equation, or inequality that represents a verbal description (e.g., 3 less than a number, 1/2 as large as area A).

7.PRA.6: Write and solve two-step linear equations and check the answers.

7.PRA.9: Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse) and operations of rational numbers (distributive, associative, commutative); justify the process used.

7.PRA.10: Use algebraic terminology including, but not limited to, variable, equation, term, coefficient, inequality, expression, and constant.

#### 7.G: Geometry

7.G.2: Demonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the relationships between the sides and angles of the two figures.

7.G.4: Know and understand the Pythagorean theorem and its converse. Apply the theorem to the solution of problems, including using it to find the length of the missing side of a right triangle, and perimeter, area, and volume problems.

7.G.6: Understand and use coordinate graphs to plot simple figures; determine lengths and areas related to them; and determine their image under translations, reflections, and rotations (e.g., predict how tessellations transform under translations, reflections, and rotations).

#### 7.M: Measurement

7.M.1: Select, convert (between systems of measurement), and use appropriate units of measurement or scale.

7.M.2: Demonstrate an understanding of the concepts and apply formulas and procedures for determining measures, including those of area and perimeter/circumference of parallelograms, trapezoids, and circles. Given the formulas, determine the surface area and volume of rectangular prisms and cylinders.

7.M.3: Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity; use models, graphs, and formulas to solve simple problems involving rates (e.g., velocity and density); check the units of the solutions; use dimensional analysis to check the reasonableness of the answer.

7.M.5: Use ratio and proportion, including scale factors, in the solution of problems.

#### 7.DASP: Data Analysis, Statistics, and Probability

7.DASP.1: Find, describe, and interpret appropriate measures of central tendency (mean, median, and mode) and spread (range) that represent a set of data.

7.DASP.2: Select, create, interpret, and use various tabular and graphical representations of data (e.g., circle graphs, Venn diagrams, stem-and-leaf plots, histograms, tables, and charts).

7.DASP.3: Describe the characteristics and limitations of a data sample. Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling).

7.DASP.4: Use tree diagrams, tables, organized lists, and area models to compute probabilities for simple compound events (e.g., multiple coin tosses or rolls of dice).

7.DASP.5: Understand that the probability of either of two disjoint events occurring is the sum of the two individual probabilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.

Correlation last revised: 5/9/2018

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