### N: Number and Operations

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

N.1.A: apply and understand whole numbers to millions, fractions and decimals to the thousandths (including location on the number line)

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

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

N.2.B: describe the effects of multiplication and division on fractions and decimals

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

N.2.D: identify square and cubic numbers and determine whole number roots and cubes

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

N.3.C: multiply and divide positive rational numbers

N.3.D: estimate and justify the results of multiplication and division of positive rational numbers

N.3.E: solve problems using ratios and rates

### A: Algebraic Relationships

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

A.1.B: represent and describe patterns with tables, graphs, pictures, symbolic rules or words

A.1.C: compare various forms of representations to identify patterns

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

#### 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 one-step equations

A.2.B: use the commutative, distributive and associative properties to generate equivalent forms for simple algebraic expressions

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

A.3.A: model and solve problems, using multiple representations such as tables, expressions and one-step equations

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

A.4.A: construct and analyze representations to 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.A: identify similar and congruent shapes

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

G.3.A: describe the transformation from a given pre-image using the terms reflection/flip, rotation/turn, and translation/ slide

### M: Measurement

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

M.1.C: solve problems involving elapsed time (hours and minutes)

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

M.2.C: solve problems involving the area or perimeter of polygons

M.2.E: convert from one unit to another within a system of measurement (mass and weight)

### 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.A: formulate questions, design studies and collect data about a characteristic

D.1.C: interpret circle graphs; create and interpret stem-and-leaf plots

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

D.2.A: find the range and measures of center, including median, mode and mean

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

D.3.A: use observations about differences between 2 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 a model (diagrams, list, sample space, or area model) to illustrate the possible outcomes of an event

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.