### N: Number and Operations

#### N.1: Understand numbers, ways of representing numbers, relationships among numbers and number systems

N.1.A: compare and order all positive rational numbers and find their approximate location on a number line

N.1.B: recognize and generate equivalent forms of fractions, decimals and percents

N.1.C: recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including exponential notation

#### N.2: Understand meanings of operations and how they relate to one another

N.2.B: describe the effects of all operations on rational numbers including integers

N.2.C: apply properties of operations (including order of operations) to positive rational numbers and integers

N.2.D: approximate the value of square roots to the nearest whole number

#### N.3: Compute fluently and make reasonable estimates

N.3.C: apply all operations on rational numbers including integers

N.3.D: estimate and justify the results of all operations on rational numbers

N.3.E: solve problems involving proportions, such as scaling and finding equivalent ratios

### A: Algebraic Relationships

#### A.1: Understand patterns, relations and functions

A.1.B: analyze patterns represented graphically or numerically with words or symbolic rules, including recursive notation

A.1.D: identify functions as linear or nonlinear from tables, graphs or equations

#### A.2: Represent and analyze mathematical situations and structures using algebraic symbols

A.2.A: use symbolic algebra to represent unknown quantities in expressions or equations and solve linear equations with one variable

A.2.B: use properties to generate equivalent forms for simple algebraic expressions that include positive rationals and integers

#### A.3: Use mathematical models to represent and understand quantitative relationships

A.3.A: model and solve problems, using multiple representations such as graphs, tables, expressions, and linear equations

#### A.4: Analyze change in various contexts

A.4.A: compare situations with constant or varying rates of change

### G: Geometric and Spatial Relationships

#### G.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

G.1.B: describe relationships between corresponding sides, corresponding angles and corresponding perimeters of similar polygons

#### G.3: Apply transformations and use symmetry to analyze mathematical situations

G.3.B: describe the relationship between the scale factor and the perimeter of the image using a dilation (contractions-magnifications; stretching/shrinking)

#### G.4: Use visualization, spatial reasoning and geometric modeling to solve problems

G.4.A: use spatial visualizations to identify various 2-dimensional views of isometric drawings

### M: Measurement

#### M.1: Understand measurable attributes of objects and the units, systems and processes of measurement

M.1.B: identify the equivalent area and volume measures within a system of measurement (e.g., sq ft. to sq in, m³ to c m³)

#### M.2: Apply appropriate techniques, tools and formulas to determine measurements

M.2.C: solve problems involving circumference and/or area of a circle and surface area/volume of a rectangular or triangular prism, or cylinder

M.2.E: convert from one unit to another within a system of measurement (capacity) and convert square or cubic units within the same system of measurement

### D: Data and Probability

#### D.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

D.1.C: select, create and use appropriate graphical representation of data, including circle graphs, histograms

#### D.2: Select and use appropriate statistical methods to analyze data

D.2.A: find, use and interpret measures of center and spread, including ranges

#### D.3: Develop and evaluate inferences and predictions that are based on data

D.3.A: use observations about differences between samples to make conjectures about the populations from which the samples were taken

#### D.4: Understand and apply basic concepts of probability

D.4.A: use models to compute the probability of an event and make conjectures (based on theoretical probability) about the results of experiments

Correlation last revised: 5/17/2018

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