1: Numeric Reasoning: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of real numbers; to use operations with understanding; and to select appropriate methods of calculations from among mental math, paper-and-pencil, calculators, or computers.

1.1: Number sense

1.1.1: Use scientific notation to represent large numbers and decimals

 Unit Conversions
 Unit Conversions 2 - Scientific Notation and Significant Digits

1.1.3: Interpret and apply percents greater than 100.

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Real-Time Histogram
 Time Estimation

1.1.4: Use proportional reasoning to express rates (e.g., speed, density, mpg)

 Beam to Moon (Ratios and Proportions)
 Percents and Proportions
 Proportions and Common Multipliers

1.1.5: Compare fractions, decimals, and percents using multiple models

 Rational Numbers, Opposites, and Absolute Values

1.1.6: Explore the effects of scaling up and scaling down on the coordinate plane

 Dilations
 Rotations, Reflections, and Translations

1.1.7: Compare integers on the number line

 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

1.1.8: Explain the relationship of a number to its additive inverse

 Simplifying Algebraic Expressions I

1.1.9: Apply knowledge of integers to the coordinate plane

 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Points in the Coordinate Plane

1.2: Operations

1.2.2: Use a variety of strategies to add, subtract, multiply, and divide fractions

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

1.2.3: Calculate unit rate to solve real-world problems (e.g., speed of a car, unit price of food, etc.)

 Household Energy Usage
 Road Trip (Problem Solving)

1.2.5: Use ratios, proportions and percents to solve contextualized problems

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Real-Time Histogram
 Road Trip (Problem Solving)

1.2.7: Add, subtract, multiply, and divide integers

 Adding and Subtracting Integers
 Adding on the Number Line
 Addition of Polynomials

1.2.8: Use an estimation or mental math strategy to demonstrate the reasonableness on an exact answer

 Estimating Sums and Differences

2: Algebraic Reasoning: Students will develop Algebraic Reasoning and an understanding of Patterns and Functions by solving problems in which there is a need to recognize and extend a variety of patterns; to progress from the concrete to the abstract using physical models, equations, and graphs; to describe, represent, and analyze relationships among variable quantities; and to analyze, represent, model, and describe real-world functional relationships.

2.1: Patterns and change

2.1.1: Describe rate of change in tables, rules or graphs

 Cat and Mouse (Modeling with Linear Systems)
 Elevator Operator (Line Graphs)
 Slope

2.1.2: Interpret rate of change in tables and graphs based on the

 Cat and Mouse (Modeling with Linear Systems)
 Elevator Operator (Line Graphs)
 Slope

2.2: Representations

2.2.1: Connect different representations of the same situation to one another using tables, graphs, and rules

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Geometric Sequences
 Introduction to Functions
 Points, Lines, and Equations

2.2.2: Model and solve contextualized linear problems using various representations (e.g., tables, graphs, equations) with respect to starting point and rate of change.

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope-Intercept Form of a Line

2.3: Symbols

2.3.1: Write an equation to show how two variables are related

 Solving Equations on the Number Line
 Using Algebraic Equations

2.3.3: Solve linear equations using a variety of strategies

 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Equations by Graphing Each Side
 Solving Two-Step Equations

2.3.4: Translate visual patterns into symbolic form

 Function Machines 1 (Functions and Tables)

3: Geometric Reasoning: Students will develop Geometric Reasoning and an understanding of Geometry and Measurement by solving problems in which there is a need to recognize, construct, transform, analyze properties of, and discover relationships among geometric figures; and to measure to a required degree pf accuracy by selecting appropriate tools and units.

3.1: Classification

3.1.3: Build three-dimensional objects from two-dimensional representations and draw two-dimensional representations of three-dimensional objects

 Surface and Lateral Areas of Prisms and Cylinders

3.1.4: Create models of nets of three dimensional figures (e.g., cube, rectangular prism, cylinder)

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

3.2: Location and transformation

3.2.1: Describe the effects that transformations (i.e., reflections, translations, and rotations) and changes in scale have on similarity and congruence

 Circles
 Dilations
 Holiday Snowflake Designer
 Reflections
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Similar Figures

3.2.2: Demonstrate dilations of scale on the coordinate plane

 Dilations

3.2.3: Represent reflections, rotations, and translations on the coordinate plane

 Dilations
 Rock Art (Transformations)
 Rotations, Reflections, and Translations

3.3: Measurement

3.3.1: Find the area of polygons by partitioning into rectangles and triangles

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)

3.3.2: Find the surface area of prisms using physical models

 Surface and Lateral Areas of Prisms and Cylinders

3.3.3: Identify corresponding parts of similar figures

 Similar Figures
 Similarity in Right Triangles

3.3.4: Determine the volume and surface areas of cylinders and prisms

 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders

4: Quantitative Reasoning: Students will develop Quantitative Reasoning and an understanding of Data Analysis and Probability by solving problems in which there is a need to collect, appropriately represent, and interpret data; to make inferences or predictions and to present convincing arguments; and to model mathematical situations to determine the probability.

4.1: Collect

4.1.1: Pose questions that can be answered by collecting and organizing data from experiments, surveys, and relevant print and electronic resources

 Correlation
 Describing Data Using Statistics
 Stem-and-Leaf Plots

4.2: Represent

4.2.1: Construct displays of data for single data sets (e.g., stem-and-leaf plots) or in order to study the relationship between related data sets (scatter plots)

 Correlation
 Graphing Skills
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots
 Trends in Scatter Plots

4.3: Analyze

4.3.1: Defend or dispute conclusions drawn from the interpretation of data by comparing one data set to another

 Box-and-Whisker Plots
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)

4.3.2: Choose an appropriate measures of center (mean, median, mode) and spread (range) to interpret data set(s)

 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)
 Real-Time Histogram
 Stem-and-Leaf Plots

4.4: Probability

4.4.1: Construct a sample space (organized list, counting tree) to determine theoretical probabilities of an event

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

4.4.2: Use proportional reasoning to predict how often a simple probability event will occur in a given number of trials

 Theoretical and Experimental Probability

Correlation last revised: 5/9/2018

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