ExploreLearning Gizmos: Math & Science Virtual Labs and Simulations

1: Numeration

1.4N: Number

1.4N1: Represent and describe whole numbers to 10 000, concretely, pictorially and symbolically.

Modeling Whole Numbers and Decimals (Base-10 Blocks)

1.4N2: Compare and order whole numbers to 10 000.

1.4N2.1: Create and order three different four-digit numerals.

1.4N2.4: Order a given set of numbers in ascending or descending order, and explain the order by making references to place value.

Cannonball Clowns (Number Line Estimation)

2: Addition and Subtraction

2.4N: Number

2.4N3: Demonstrate an understanding of addition of whole numbers with answers to 10 000 and their corresponding subtractions (limited to 3- and 4-digit numerals) by:

2.4N3.a: using personal strategies for adding and subtracting

Adding Whole Numbers and Decimals (Base-10 Blocks)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

2.4N3.b: estimating sums and differences

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

2.4N3.c: solving problems involving addition and subtraction.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Equivalent Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

2.4N3.1: Describe a situation in which an estimate rather than an exact answer is sufficient.

Multiplying Decimals (Area Model)

2.4N3.2: Estimate sums and differences, using different strategies.

2.4N3.5: Solve problems that involve addition and subtraction of more than two numbers.

3: Patterns in Mathematics

3.4PR: Patterns and Relations (Patterns)

3.4PR1: Identify and describe patterns found in tables and charts, including a multiplication chart.

Function Machines 2 (Functions, Tables, and Graphs)
Pattern Flip (Patterns)

3.4PR1.1: Describe the pattern found in a given table or chart.

Pattern Flip (Patterns)

3.4PR2: Translate among different representations of a pattern, such as a table, a chart or concrete materials.

3.4PR2.1: Create a concrete representation of a given pattern displayed in a table or chart.

Function Machines 1 (Functions and Tables)

3.4PR2.2: Create a table or chart from a given concrete representation of a pattern.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Mascot Election (Pictographs and Bar Graphs)

3.4PR3: Represent, describe and extend patterns and relationships, using charts and tables, to solve problems.

3.4PR3.1: Translate the information in a given problem into a table or chart.

Mascot Election (Pictographs and Bar Graphs)

4: Data Relationships

4.4SP: Statistics and Probability (Data Analysis)

4.4SP1: Demonstrate an understanding of many-to-one correspondence.

4.4SP1.1: Compare graphs in which the same data has been displayed using one-to-one and many-to-one correspondences, and explain how they are the same and different.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

4.4SP1.2: Explain why many-to-one correspondence is sometimes used rather than one-to-one correspondence.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

4.4SP1.3: Find examples of graphs in which many-to-one correspondence is used in print and electronic media, such as newspapers, magazines and the Internet, and describe the correspondence used.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)

4.4SP2: Construct and interpret pictographs and bar graphs involving many-to-one correspondence to draw conclusions.

Forest Ecosystem

4.4SP2.1: Identify an interval and correspondence for displaying a given set of data in a graph, and justify the choice.

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

4.4SP2.2: Create and label (with categories, title and legend) a pictograph to display a given set of data, using many-to-one correspondence, and justify the choice of correspondence used.

Forest Ecosystem
Mascot Election (Pictographs and Bar Graphs)

4.4SP2.3: Answer a given question using a given graph in which data is displayed using many-to-one correspondence.

Forest Ecosystem
Graphing Skills
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)

4.4SP2.4: Create and label (with axes and title) a bar graph to display a given set of data, using many-to-one correspondence, and justify the choice of interval used.

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

4.4PR4: Identify and explain mathematical relationships, using charts and diagrams, to solve problems.

4.4PR4.4: Complete a Carroll diagram by entering given data into correct squares to solve a given problem.

Graphing Skills

4.4PR4.5: Determine where new elements belong in a given Carroll diagram.

Graphing Skills

4.4PR4.7: Solve a given problem by using a chart or diagram to identify mathematical relationships.

Mascot Election (Pictographs and Bar Graphs)

5: 2-D Geometry

5.4SS: Shape and Space (Transformations)

5.4SS6: Demonstrate an understanding of line symmetry by:

5.4SS6.a: identifying symmetrical 2-D shapes

Quilting Bee (Symmetry)
Rock Art (Transformations)

5.4SS6.b: creating symmetrical 2-D shapes

Quilting Bee (Symmetry)

5.4SS6.c: drawing one or more lines of symmetry in a 2-D shape.

Quilting Bee (Symmetry)
Rock Art (Transformations)

5.4SS6.1: Identify lines of symmetry of a given set of 2-D shapes, and explain why each shape is symmetrical.

Quilting Bee (Symmetry)

5.4SS6.2: Determine whether or not a given 2-D shape is symmetrical by using an image refl ector or by folding and superimposing.

Rock Art (Transformations)

5.4SS6.3: Complete a symmetrical 2-D shape, given half the shape and its line of symmetry.

Quilting Bee (Symmetry)

6: Multiplication and Division Facts

6.4N: Number

6.4N5: Describe and apply mental mathematics strategies, such as:

6.4N5.a: skip counting from a known fact

Chocomatic (Multiplication, Arrays, and Area)
Number Line Frog Hop (Addition and Subtraction)

6.4N5.1: Provide examples for applying mental mathematics strategies:

6.4N5.1.a: skip counting from a known fact

Chocomatic (Multiplication, Arrays, and Area)
Number Line Frog Hop (Addition and Subtraction)

6.4N5.1.g: relating division to multiplication.

Factor Trees (Factoring Numbers)
Function Machines 3 (Functions and Problem Solving)

6.4N5.2: Demonstrate understanding and application of strategies for multiplication and related division facts to 9 x 9.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

6.4N5.3: Demonstrate recall of multiplication and related division facts to 7 x 7.

Critter Count (Modeling Multiplication)

6.4PR: Patterns and Relations (Patterns)

6.4PR1: Identify and describe patterns found in tables and charts, including a multiplication chart.

Function Machines 2 (Functions, Tables, and Graphs)
Pattern Flip (Patterns)

6.4PR1.1: Describe the pattern found in a given table or chart.

Pattern Flip (Patterns)

7: Fractions and Decimals

7.4N: Number

7.4N8: Demonstrate an understanding of fractions less than or equal to one by using concrete, pictorial and symbolic representations to:

7.4N8.a: name and record fractions for the parts of a whole or a set

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (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)

7.4N8.b: compare and order fractions

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)

7.4N8.c: model and explain that for different wholes, two identical fractions may not represent the same quantity

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)

7.4N8.d: provide examples of where fractions are used.

Fraction Artist 1 (Area Models of Fractions)

7.4N8.1: Name and record the shaded and non-shaded parts of a given whole.

7.4N8.2: Represent a given fraction pictorially by shading parts of a given whole.

7.4N8.3: Provide examples of when two identical fractions may not represent the same quantity.

7.4N8.4: Represent a given fraction, using concrete materials.

7.4N8.5: Name and record the shaded and non-shaded parts of a given set.

7.4N8.6: Identify a fraction from its given concrete representation.

7.4N8.7: Represent a given fraction pictorially by shading parts of a given set.

7.4N8.8: Provide, from everyday contexts, an example of a fraction that represents part of a set and an example of a fraction that represents part of a whole.

Fraction Artist 1 (Area Models of Fractions)

7.4N8.10: Explain how denominators can be used to compare two given unit fractions with numerator 1.

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

7.4N8.12: Identify which of the benchmarks, 0 , 1/2 or 1, is closer to a given fraction.

Fraction Artist 2 (Area Models of Fractions)

7.4N9: Represent and describe decimals (tenths and hundredths), concretely, pictorially and symbolically.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

7.4N9.1: Write the decimal for a given concrete or pictorial representation of part of a set, part of a region or part of a unit of measure.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Treasure Hunter (Decimals on the Number Line)

7.4N9.2: Represent a given decimal, using concrete materials or a pictorial representation.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

7.4N9.4: Explain the meaning of each digit in a given decimal.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

7.4N9.7: Model, using manipulatives or pictures, that a given tenth can be expressed as a hundredth.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

7.4N10: Relate decimals to fractions and fractions to decimals (to hundredths).

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

7.4N10.1: Express, orally and in written form, a given fraction with a denominator of 10 or 100 as a decimal.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

7.4N10.2: Read decimals as fractions.

Fraction, Decimal, Percent (Area and Grid Models)

7.4N10.3: Express, orally and in written form, a given decimal in fraction form.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

7.4N10.4: Express a given pictorial or concrete representation as a fraction or decimal.

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 Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

7.4N10.5: Express, orally and in written form, the decimal equivalent for a given fraction.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

8: Multiplying Multi-Digit Numbers

8.4N: Number

8.4N6: Demonstrate an understanding of multiplication (2- or 3-digit by 1-digit) to solve problems by:

8.4N6.b: using arrays to represent multiplication

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

8.4N6.d: estimating products

Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

8.4N6.e: applying the distributive property.

Chocomatic (Multiplication, Arrays, and Area)

8.4N6.1: Use concrete materials, such as base ten blocks or their pictorial representations, to represent multiplication; and record the process symbolically.

Chocomatic (Multiplication, Arrays, and Area)

8.4N6.2: Solve a given multiplication problem and record the process.

Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)

8.4N6.3: Model and solve a given multiplication problem, using an array, and record the process.

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

8.4N6.4: Model a given multiplication problem, using the distributive property.

Chocomatic (Multiplication, Arrays, and Area)

8.4N6.5: Estimate a product, using a personal strategy.

Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)