NO: Number and Operations

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

NO.1.1: Read, write, compare and solve problems, with and without appropriate technology, including numbers less than 1 in scientific notation

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

NO.1.2: Convert between scientific notation and standard notation, including numbers from zero to one.

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

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

NO.2.1: Apply the addition, subtraction, multiplication and division properties of equality to twostep equations

 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Two-Step Equations

NO.2.2: Understand and apply the inverse and identity properties

 Solving Algebraic Equations I

NO.2.3: Use inverse relationships (addition and subtraction, multiplication and division, squaring and square roots) in problem solving situations

 Function Machines 3 (Functions and Problem Solving)
 Modeling One-Step Equations
 Solving Two-Step Equations
 Square Roots

NO.2.4: Apply rules (conventions) for order of operations to rational numbers

 Order of Operations

NO.2.5: Model and develop addition, subtraction, multiplication and division of rational numbers

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

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

NO.3.1: Compute, with and without appropriate technology, with rational numbers in multi-step problems

 Dividing Mixed Numbers
 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

NO.3.2: Solve, with and without appropriate technology, multistep problems using a variety of methods and tools (i.e. objects, mental computation, paper and pencil)

 Solving Equations on the Number Line

NO.3.3: Use Estimation to solve problems involving rational numbers; including ratio, proportion, percent (increase or decrease) then judge the reasonableness of solutions

 Estimating Sums and Differences

NO.3.5: Calculate and find approximations of square roots with appropriate technology

 Square Roots

A: Algebra

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

A.4.1: Find the nth term in a pattern or a function table

 Arithmetic Sequences
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Geometric Sequences

A.4.2: Using real world situations, describe patterns in words, tables, pictures, and symbolic representations

 Geometric Sequences

A.4.4: Use tables, graphs, and equations to identify independent/dependent variables (input/output)

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

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

A.5.2: Solve and graph linear equations (in the form y=mx+b)

 Linear Inequalities in Two Variables
 Point-Slope Form of a Line
 Points, Lines, and Equations
 Slope-Intercept Form of a Line
 Standard Form of a Line

A.6: Students shall develop and apply mathematical models to represent and understand quantitative relationships.

A.6.4: Represent, with and without appropriate technology, simple exponential and/or quadratic functions using verbal descriptions, tables, graphs and formulas and translate among these representations

 Addition and Subtraction of Functions
 Compound Interest
 Exponential Functions
 Introduction to Exponential Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic

G: Geometry

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

G.9.1: Determine a transformation's line of symmetry and compare the properties of the figure and its transformation

 Holiday Snowflake Designer
 Rock Art (Transformations)

G.9.2: Draw the results of translations and reflections about the xand y-axis and rotations of objects about the origin

 Rotations, Reflections, and Translations

M: Measurement

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

M.12.2: Describe and apply equivalent measures using a variety of units within the same system of measurement

 Unit Conversions

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

M.13.3: Apply proportional reasoning to solve problems involving indirect measurements, scale drawings or rates

 Dilations

M.13.4: Find the distance between two points on a coordinate plane using with the Pythagorean theorem

 Distance Formula

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: Design and conduct investigations which include

DAP.14.1.a: adequate number of trials

 Polling: City

DAP.14.2: Explain which types of display are appropriate for various data sets (scatter plot for relationship between two variants and line of best fit)

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

DAP.14.3: Interpret or solve real-world problems using data from charts, line plots, stem-and leaf plots, double-bar graphs, line graphs, box-and whisker plots, scatter plots, frequency tables or double line graphs

 Box-and-Whisker Plots
 Correlation
 Earthquakes 1 - Recording Station
 Histograms
 Least-Squares Best Fit Lines
 Mean, Median, and Mode
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Solving Using Trend Lines
 Stem-and-Leaf Plots
 Trends in Scatter Plots

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

DAP.15.1: Compare and contrast the reliability of data sets with different size populations

 Polling: City
 Populations and Samples

DAP.15.2: Analyze, with and without appropriate technology, graphs by comparing measures of central tendencies and measures of spread

 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

DAP.15.3: Given at least one of the measures of central tendency create a data set

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

DAP.15.4: Describe how the inclusion of outliers affects those measures

 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)

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

DAP.17.1: Compute, with and without appropriate technology, probabilities of compound events, using organized lists, tree diagrams and logic grid

 Permutations and Combinations

DAP.17.2: Make predictions based on theoretical probabilities, design and conduct an experiment to test the predictions, compare actual results to predict results, and explain differences

 Independent and Dependent Events

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.