### NO: Number and Operations

#### NO.1: Students shall understand numbers, ways of representing numbers, relationships among numbers and number systems.

NO.1.1: Relate, with and without models and pictures, concepts of ratio, proportion, and percent, including percents less than 1 and greater than 100

NO.1.2: Demonstrate, with and without appropriate technology, an understanding of place value using powers of 10 and write numbers greater than one in scientific notation

NO.1.3: Convert between scientific notation and standard notation using numbers greater than one.

NO.1.5: Compare and represent integers, fractions, decimals and mixed numbers and find their approximate location on a number line

#### NO.2: Students shall understand meanings of operations and how they relate to one another.

NO.2.2: Apply the addition, subtraction, multiplication and division properties of equality to onestep equations with integers, fractions, and decimals

NO.2.3: Apply rules (conventions) for order of operations to integers and positive rational numbers including parentheses, brackets or exponents

NO.2.4: Model and develop addition, subtraction, multiplication and division of integers

#### NO.3: Students shall compute fluently and make reasonable estimates.

NO.3.1: Compute, with and without appropriate technology, with integers and positive rational numbers using real-world situations to solve problems

NO.3.3: Determine when an Estimate is sufficient and use Estimation to decide whether answers are reasonable in problems including fractions and decimals

NO.3.4: Apply factorization, LCM, and GCF to solve problems using more than two numbers and explain the solution

NO.3.5: Represent and solve problem situations that can be modeled by and solved using concepts of absolute value, exponents and square roots (for perfect squares) with and without appropriate technology

NO.3.6: Solve, with and without technology, real world percent problems

### A: Algebra

#### A.4: Students shall recognize, describe and develop patterns, relations and functions.

A.4.1: Create and complete a function table (input/output) using a given rule with two operations

A.4.2: Identify and extend patterns in real world situations

#### A.5: Students shall represent and analyze mathematical situations and structures using algebraic symbols.

A.5.1: Solve and graph one-step linear equations and inequalities using a variety of methods (i.e., hands-on, inverse operations, symbolic) with real world application with and without technology

A.5.2: Solve simple linear equations using integers and graph on a coordinate plane

A.5.3: Translate phrases and sentences into algebraic expressions and equations including parentheses and positive and rational numbers and simplify algebraic expressions by combining like terms

### G: Geometry

#### G.8: Students shall analyze characteristics and properties of 2 and 3 dimensional geometric shapes and develop mathematical arguments about geometric relationships.

G.8.1: Identify, draw, classify and compare geometric figures using models and real world examples

G.8.2: Investigate geometric properties and their relationships in one, two and three dimensions models, including convex and concave polygons

G.8.3: Recognize the pairs of angles formed and the relationship between the angles including two intersecting lines and parallel lines cut by a transversal (vertical, supplementary, complementary, corresponding, alternate interior, alternate exterior angles and

G.8.4: Use paper or physical models to determine the sum of the measures of interior angles of triangles and quadrilaterals

G.8.6: Develop the properties of similar figures (ratio of sides and congruent angles)

#### G.9: Students shall apply transformations and the use of symmetry to analyze mathematical situations.

G.9.1: Examine the congruence, similarity, and line or rotational symmetry of objects using transformations

G.9.2: Perform translations and reflections of two-dimensional figures using a variety of methods (paper folding, tracing, graph paper)

#### G.10: Students shall specify locations and describe spatial relationships using coordinate geometry and other representational systems.

G.10.1: Plot points in the coordinate plane

#### G.11: Students shall use visualization, spatial reasoning and geometric modeling.

G.11.1: Build three-dimensional solids from two-dimensional patterns (nets)

### M: Measurement

#### M.12: Students shall use attributes of measurement to describe and compare mathematical and real-world objects.

M.12.2: Understand relationships among units within the same system

M.12.3: Find different areas for a given perimeter and find a different perimeter for a given area

#### M.13: Students shall identify and use units, systems and processes of measurement.

M.13.1: Solve real world problems involving two or more elapsed times, counting forward and backward (calendar and clock)

M.13.4: Derive and use formulas for surface area and volume of prisms and cylinders and justify them using geometric models and common materials

M.13.5: Apply properties (scale factors, ratio, and proportion) of congruent or similar triangles to solve problems involving missing lengths and angle measures

M.13.7: Estimate and compute the area of more complex or irregular two-dimensional shapes by dividing them into more basic shapes

### DAP: Data Analysis and Probability

#### DAP.14: Students shall formulate questions that can be addressed with data and collect, organize and display relevant data to answer them.

DAP.14.1: Identify different ways of selecting samples and compose appropriate questions

DAP.14.2: Explain which types of display are appropriate for various data sets (line graph for change over time, circle graph for part-to-whole comparison, scatter plot for trends)

DAP.14.3: Construct and interpret circle graphs, box-and-whisker plots, histograms, scatter plots and double line graphs with and without appropriate technology

#### DAP.15: Students shall select and use appropriate statistical methods to analyze data.

DAP.15.1: Analyze data displays, including ways that they can be misleading

DAP.15.2: Analyze, with and without appropriate technology, a set of data by using and comparing measures of central tendencies (mean, median, mode) and measures of spread (range, quartile, interquartile range)

#### DAP.17: Students shall understand and apply basic concepts of probability.

DAP.17.1: Understand that probability can take any value between 0 and 1 (events that are not going to occur have probability 0, events certain to occur have probability 1)

Correlation last revised: 5/8/2018

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