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

1.1.2: Use factors and multiples to demonstrate part whole relationships

 Chocomatic (Multiplication, Arrays, and Area)
 Factor Trees (Factoring Numbers)
 Finding Factors with Area Models
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Artist 2 (Area Models of Fractions)
 Modeling Fractions (Area Models)
 Operations with Radical Expressions

1.1.3: Use factors and multiples to develop equivalent fraction families

 Factor Trees (Factoring Numbers)

1.1.5: Use place value structure to describe the size of decimals

 Adding Decimals (Base-10 Blocks)
 Comparing and Ordering Decimals
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals
 Treasure Hunter (Decimals on the Number Line)

1.1.6: Demonstrate equivalence of decimals, fractions, and percents using multiple models

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

1.2: Operations

1.2.2: Multiply fractions by other fractions using physical models, ratio/rate tables, and arrays

 Multiplying Fractions

1.2.4: Add and subtract fractions with unlike denominators and use physical models to justify your answer

 Adding Fractions (Fraction Tiles)
 Fraction Artist 2 (Area Models of Fractions)
 Fractions Greater than One (Fraction Tiles)
 Modeling Fractions (Area Models)

1.2.5: Calculate the decimal equivalent of fractions

 Modeling Decimals (Area and Grid Models)

1.2.7: Explain the role of place value in adding and subtracting decimals

 Adding Decimals (Base-10 Blocks)
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

1.2.8: Multiply decimals to solve real-world problems (e.g., find the cost of 3 1/2 pounds of grapes at $1.95 per pound)

 Multiplying with Decimals

1.2.10: Select and use appropriate methods and tools for computing (e.g., mental computation, estimation, calculators, paper, and pencil) depending on the context and nature of the computation

 Multiplying Decimals (Area Model)

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.

2.2: Representations

2.2.1: Demonstrate that a given situation may be represented by a table, graph or equation

 Absolute Value Equations and Inequalities
 Mascot Election (Pictographs and Bar Graphs)
 Using Algebraic Equations

2.2.2: Explore informal methods to model and solve real-world situations that involve equivalent fractions (e.g., use a table of equivalent ratios to solve proportional reasoning problems)

 Fractions with Unlike Denominators
 Part-to-part and Part-to-whole Ratios

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

3.1.1: Estimate, measure, and classify angles

 Triangle Angle Sum

3.1.3: Explore the measure of a single angle and find the sum of the angles of a regular polygon

 Polygon Angle Sum

3.2: Location and transformation

3.2.1: Measure angles and sides to demonstrate that transformations such as reflections (flips), translations (slides), and rotations (turns) maintain congruence

 Rotations, Reflections, and Translations

3.3: Measurement

3.3.1: Use the conceptual knowledge of the area of rectangles to develop formulas for the areas of triangles and parallelograms

 Area of Parallelograms
 Area of Triangles
 Perimeter and Area of Rectangles

3.3.2: Demonstrate an understanding that the perimeters of rectangles with a fixed area can vary

 Perimeter and Area of Rectangles

3.3.3: Demonstrate an understanding that the areas of rectangles with a fixed perimeter can vary

 Perimeter and Area of Rectangles

3.3.7: Find the circumference of circles and explore finding the area.

 Circumference and Area of Circles

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: Collect and organize numerical (whole number or decimal) data in order to answer a question

 Box-and-Whisker Plots
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

4.2: Represent

4.2.1: Construct displays of data (e.g., circle graphs, scatter plots, frequency counts) for a single data set

 Box-and-Whisker Plots
 Graphing Skills
 Histograms
 Mascot Election (Pictographs and Bar Graphs)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots
 Trends in Scatter Plots

4.3: Analyze

4.3.1: Defend 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: Find and use summary measures of center (mean, median, mode) and spread (range) to compare sets of single variable data

 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

4.4: Probability

4.4.1: Use real-world data to estimate the probability of future events (e.g., batting averages, weather predictions)

 Polling: City

4.4.2: Analyze simple games to determine favorable outcomes and chances of winning or losing

 Geometric Probability
 Independent and Dependent Events
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental 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.