ExploreLearning Gizmos: Math & Science Virtual Labs and Simulations

1: Number Sense and Base Ten

1.1: Use place value understanding to round whole numbers to the nearest 10 or 100.

1.2: Add and subtract whole numbers fluently to 1,000 using knowledge of place value and properties of operations.

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Cargo Captain (Multi-digit Subtraction)
Fractions Greater than One (Fraction Tiles)
Number Line Frog Hop (Addition and Subtraction)
Rounding Whole Numbers (Number Line)
Subtracting Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

1.4: Read and write numbers through 999,999 in standard form and equations in expanded form.

Cannonball Clowns (Number Line Estimation)

2: Number Sense – Fractions

2.1: Develop an understanding of fractions (i.e., denominators 2, 3, 4, 6, 8, 10) as numbers.

2.1.1: A fraction 1/b (called a unit fraction) is the quantity formed by one part when a whole is partitioned into b equal parts;

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Modeling Fractions (Area Models)

2.1.2: A fraction a/b is the quantity formed by 𝑎 parts of size 1/b;

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

2.1.3: A fraction is a number that can be represented on a number line based on counts of a unit fraction;

Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

2.1.4: A fraction can be represented using set, area, and linear models.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

2.2: Explain fraction equivalence (i.e., denominators 2, 3, 4, 6, 8, 10) by demonstrating an understanding that:

2.2.1: two fractions are equal if they are the same size, based on the same whole, or at the same point on a number line;

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

2.2.2: fraction equivalence can be represented using set, area, and linear models;

2.2.3: whole numbers can be written as fractions (e.g., 4 = 4/1 and 1 = 4/4);

Equivalent Fractions (Fraction Tiles)

2.2.4: fractions with the same numerator or same denominator can be compared by reasoning about their size based on the same whole.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

2.3: Develop an understanding of mixed numbers (i.e., denominators 2, 3, 4, 6, 8, 10) as iterations of unit fractions on a number line.

Fractions Greater than One (Fraction Tiles)

3: Algebraic Thinking and Operations

3.1: Use concrete objects, drawings and symbols to represent multiplication facts of two single-digit whole numbers and explain the relationship between the factors (i.e., 0 – 10) and the product.

Chocomatic (Multiplication, Arrays, and Area)

3.3: Solve real-world problems involving equal groups, area/array, and number line models using basic multiplication and related division facts. Represent the problem situation using an equation with a symbol for the unknown.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)

3.4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is a missing factor, product, dividend, divisor, or quotient.

Factor Trees (Factoring Numbers)

3.5: Apply properties of operations (i.e., Commutative Property of Multiplication, Associative Property of Multiplication, Distributive Property) as strategies to multiply and divide and explain the reasoning.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)
Pattern Flip (Patterns)

3.6: Understand division as a missing factor problem.

Factor Trees (Factoring Numbers)

3.7: Demonstrate fluency with basic multiplication and related division facts of products and dividends through 100.

Critter Count (Modeling Multiplication)

3.8: Solve two-step real-world problems using addition, subtraction, multiplication and division of whole numbers and having whole number answers. Represent these problems using equations with a letter for the unknown quantity.

Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

3.9: Identify a rule for an arithmetic pattern (e.g., patterns in the addition table or multiplication table).

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

4: Geometry

4.1: Understand that shapes in different categories (e.g., rhombus, rectangle, square, and other 4-sided shapes) may share attributes (e.g., 4-sided figures) and the shared attributes can define a larger category (e.g., quadrilateral). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

Classifying Quadrilaterals

5: Measurement and Data Analysis

5.1: Use analog and digital clocks to determine and record time to the nearest minute, using a.m. and p.m.; measure time intervals in minutes; and solve problems involving addition and subtraction of time intervals within 60 minutes.

Elapsed Time

5.3: Collect, organize, classify, and interpret data with multiple categories and draw a scaled picture graph and a scaled bar graph to represent the data.

Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)

5.5: Understand the concept of area measurement.

5.5.1: Recognize area as an attribute of plane figures;

Chocomatic (Multiplication, Arrays, and Area)

5.5.2: Measure area by building arrays and counting standard unit squares;

Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

5.5.3: Determine the area of a rectilinear polygon and relate to multiplication and addition.

Fido's Flower Bed (Perimeter and Area)

5.6: Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.