Academic Content Standards

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Adding Decimals (Base-10 Blocks)

Adding Fractions (Fraction Tiles)

Comparing and Ordering Decimals

Fraction Artist 2 (Area Models of Fractions)

Fraction Garden (Comparing Fractions)

Integers, Opposites, and Absolute Values

Modeling Decimals (Area and Grid Models)

Modeling Decimals (Base-10 Blocks)

Modeling Fractions (Area Models)

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

Subtracting Decimals (Base-10 Blocks)

Toy Factory (Set Models of Fractions)

Treasure Hunter (Decimals on the Number Line)

1.C.4: Describe what it means to find a specific percent of a number, using real-life examples.

Percent of Change

Percents and Proportions

1.C.5: Use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100.

Beam to Moon (Ratios and Proportions)

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

1.D.3: Explain why a number is referred to as being "rational," and recognize that the expression [a/b] can mean * a* parts of size [1/3] each, *a* divided by *b*, or the ratio of * a * to * b*.

Fraction Garden (Comparing Fractions)

Modeling Decimals (Area and Grid Models)

Modeling Decimals (Base-10 Blocks)

Modeling Fractions (Area Models)

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

Toy Factory (Set Models of Fractions)

1.D.5: Use models and pictures to relate concepts of ratio, proportion and percent, including percents less than 1 and greater than 100.

Beam to Moon (Ratios and Proportions)

Geometric Probability

Part-to-part and Part-to-whole Ratios

Proportions and Common Multipliers

1.E.6: Use the order of operations, including the use of exponents, decimals and rational numbers, to simplify numerical expressions.

1.G.1: Decompose and recompose whole numbers using factors and exponents (e.g., 32 = 2 x 2 x 2 x 2 x 2 = 2^{5}), and explain why "squared" means "second power" and "cubed" means "third power."

Chocomatic (Multiplication, Arrays, and Area)

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Square Roots

1.G.2: Find and use the prime factorization of composite numbers. For example:

1.G.2.c: Apply the prime factorization to solve problems and explain solutions.

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

1.H.8: Represent multiplication and division situations involving fractions and decimals with models and visual representations; e.g., show with pattern blocks what it means to take [2 2/3 divided by 1/6].

Dividing Fractions

Dividing Mixed Numbers

Multiplying Decimals (Area Model)

Multiplying Fractions

Square Roots

1.H.12: Develop and analyze algorithms for computing with fractions and decimals, and demonstrate fluency in their use.

Adding Decimals (Base-10 Blocks)

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

Modeling Fractions (Area Models)

Multiplying Decimals (Area Model)

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Subtracting Decimals (Base-10 Blocks)

Sums and Differences with Decimals

1.I.11: Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning.

Adding Decimals (Base-10 Blocks)

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

Modeling Fractions (Area Models)

Multiplying Decimals (Area Model)

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Subtracting Decimals (Base-10 Blocks)

Sums and Differences with Decimals

1.I.13: Estimate reasonable solutions to problem situations involving fractions and decimals; e.g., [7/8 + 12/13] [approximation] and 4.23 x 5.8 [approximation] 25.

Estimating Sums and Differences

Multiplying Decimals (Area Model)

1.I.14: Use proportional reasoning, ratios and percents to represent problem situations and determine the reasonableness of solutions.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Geometric Probability

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Real-Time Histogram

Road Trip (Problem Solving)

Time Estimation

1.I.15: Determine the percent of a number and solve related problems; e.g., find the percent markdown if the original price was $140, and the sale price is $100.

Percent of Change

Percents and Proportions

Surface and Lateral Areas of Prisms and Cylinders

2.C.3: Estimate perimeter or circumference and area for circles, triangles and quadrilaterals, and surface area and volume for prisms and cylinders by:

2.C.3.b: measuring attributes (diameter, side lengths, or heights) and using established formulas for circles, triangles, rectangles, parallelograms and rectangular prisms.

Area of Parallelograms

Area of Triangles

Circles

Measuring Trees

Perimeter and Area of Rectangles

Surface and Lateral Areas of Prisms and Cylinders

Triangle Inequalities

2.F.6: Describe what happens to the perimeter and area of a two-dimensional shape when the measurements of the shape are changed; e.g. length of sides are doubled.

Perimeter and Area of Rectangles

2.G.5: Understand the difference between perimeter and area, and demonstrate that two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.

Circumference and Area of Circles

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

Circles

Circumference and Area of Circles

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

3.D.1: Classify and describe two-dimensional and three-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides.

3.D.4: Identify and define relationships between planes; i.e., parallel, perpendicular and intersecting.

Parallel, Intersecting, and Skew Lines

3.G.3: Use multiple classification criteria to classify triangles; e.g., right scalene triangle.

3.H.5: Predict and describe sizes, positions and orientations of two-dimensional shapes after transformations such as reflections, rotations, translations and dilations.

Rock Art (Transformations)

Rotations, Reflections, and Translations

4.A.1: Represent and analyze patterns, rules and functions, using physical materials, tables and graphs.

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

4.A.2: Use words and symbols to describe numerical and geometric patterns, rules and functions.

Arithmetic Sequences

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Geometric Sequences

Square Roots

Arithmetic Sequences

Arithmetic and Geometric Sequences

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Geometric Sequences

Introduction to Functions

Points, Lines, and Equations

4.C.6: Evaluate simple expressions by replacing variables with given values, and use formulas in problem-solving situations.

4.E.2: Use words and symbols to describe numerical and geometric patterns, rules and functions.

Arithmetic Sequences

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Geometric Sequences

Square Roots

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Introduction to Functions

Points, Lines, and Equations

Simple and Compound Interest

Slope-Intercept Form of a Line

4.H.4: Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs.

Linear Inequalities in Two Variables

Modeling One-Step Equations

Solving Equations by Graphing Each Side

Solving Two-Step Equations

4.K.4: Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs.

Linear Inequalities in Two Variables

4.L.7: Identify and describe situations with constant or varying rates of change, and compare them.

Function Machines 1 (Functions and Tables)

Simple and Compound Interest

5.A.1: Read, construct and interpret line graphs, circle graphs and histograms.

Distance-Time Graphs

Elevator Operator (Line Graphs)

Graphing Skills

Histograms

Prairie Ecosystem

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

5.B.5: Describe the frequency distribution of a set of data, as shown in a histogram or frequency table, by general appearance or shape; e.g., number of modes, middle of data, level of symmetry, outliers.

Histograms

Polling: City

Populations and Samples

Real-Time Histogram

Describing Data Using Statistics

Reaction Time 2 (Graphs and Statistics)

5.D.3: Compare representations of the same data in different types of graphs, such as a bar graph and circle graph.

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Reaction Time 1 (Graphs and Statistics)

5.E.2: Select, create and use graphical representations that are appropriate for the type of data collected.

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Stem-and-Leaf Plots

5.F.4: Understand the different information provided by measures of center (mean, mode and median) and measures of spread (range).

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

Geometric Probability

Independent and Dependent Events

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

5.K.7: Design an experiment to test a theoretical probability and explain how the results may vary.

Independent and Dependent Events

Estimating Population Size

Unit Conversions

Correlation last revised: 8/29/2016

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