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

 Comparing and Ordering Decimals
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

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

 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

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

 Number Systems

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

 Adding Fractions (Fraction Tiles)
 Fractions Greater than One (Fraction Tiles)

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

 Order of Operations

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

 Square Roots

N.3: Compute fluently and make reasonable estimates

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

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Addition of Polynomials
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

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

 Adding Fractions (Fraction Tiles)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

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

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

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

 Arithmetic and Geometric Sequences
 Function Machines 1 (Functions and Tables)

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

 Absolute Value with Linear Functions
 Linear Functions

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

 Compound Interest
 Modeling and Solving Two-Step Equations
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Using Algebraic Expressions

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

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 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 graphs, tables, expressions, and linear equations

 Compound Interest
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

A.4: Analyze change in various contexts

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

 Compound Interest
 Dilations

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

 Similar Figures

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)

 Dilations

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

 3D and Orthographic Views

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)

 Unit Conversions

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

 Circumference and Area of Circles
 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders

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

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

 Distance-Time Graphs
 Graphing Skills
 Histograms
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

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

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 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 samples to make conjectures about the populations from which the samples were taken

 Polling: City
 Polling: Neighborhood

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

 Geometric Probability
 Theoretical and Experimental Probability

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.