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)

 Comparing and Ordering Decimals
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Modeling Fractions (Area Models)
 Rational Numbers, Opposites, and Absolute Values
 Treasure Hunter (Decimals on the Number Line)

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

 Modeling Decimals (Area and Grid Models)
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

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

 Square Roots

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

 Order of Operations

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

 Operations with Radical Expressions
 Square Roots

N.3: Compute fluently and make reasonable estimates

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

 Adding and Subtracting Integers
 Dividing Fractions
 Dividing Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals

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

 Dividing Fractions
 Dividing Mixed Numbers
 Multiplying Decimals (Area Model)
 Multiplying Mixed Numbers
 Multiplying with Decimals

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

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers
 Road Trip (Problem Solving)

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

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

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

 Arithmetic Sequences
 Function Machines 2 (Functions, Tables, and Graphs)
 Geometric Sequences
 Pattern Finder

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

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Compound Interest
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Points, Lines, and Equations
 Slope-Intercept Form of a Line

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

 Compound Interest
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Using Algebraic Expressions

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

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Modeling the Factorization of x2+bx+c
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

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

 Compound Interest
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

A.4: Analyze change in various contexts

A.4.A: construct and analyze representations to compare situations with constant or varying rates of change

 Compound Interest

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

 Constructing Congruent Segments and Angles
 Similarity in Right Triangles

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

 Rotations, Reflections, and Translations

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)

 Elapsed Time

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

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

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

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

 Unit Conversions

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

 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Time Estimation

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

 Graphing Skills
 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

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

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

 Polling: City

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

 Independent and Dependent Events
 Spin the Big Wheel! (Probability)

Correlation last revised: 1/20/2017

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