ExploreLearning Gizmos: Math & Science Virtual Labs and Simulations

1: Number

1.B: Number Operations

1.B.1: Apply arithmetic operations on common fractions, decimals and integers, and illustrate their use in solving problems.

1.B.1.5: Demonstrate an understanding of and proficiency with adding, subtracting, multiplying and dividing decimals (for more than 2-digit divisors or multipliers, the use of technology is expected).

Square Roots

1.B.1.6: Demonstrate an understanding of integers and use arithmetic operations to solve problems involving integers.

Addition of Polynomials

1.B.1.8: Demonstrate an understanding of and proficiency with adding, subtracting, multiplying and dividing fractions concretely, pictorially and symbolically.

Fractions with Unlike Denominators

1.B.2: Apply the concepts of rate, ratio, percentage and proportion to solve problems in meaningful contexts.

1.B.2.9: Estimate and calculate percentages.

Percent of Change
Percents and Proportions
Real-Time Histogram

2: Patterns and Relations

2.A: Patterns

2.A.1: Use patterns, variables and expressions, together with their graphs, to solve problems.

2.A.1.4: Substitute numbers for variables in expressions, and graph and analyze the relation.

Direct and Inverse Variation
Point-Slope Form of a Line
Points, Lines, and Equations
Standard Form of a Line

2.A.1.5: Translate between an oral or written expression and an equivalent algebraic expression.

Using Algebraic Expressions

2.B: Variables and Equations

2.B.1: Use variables and equations to express, summarize and apply relationships as problem-solving tools.

2.B.1.6: Solve and verify one-step linear equations, using a variety of techniques including concrete materials and diagrams.

Modeling and Solving Two-Step Equations
Solving Equations on the Number Line

2.B.1.7: Solve and verify two-step, singlevariable, first-degree equations, using concrete materials, diagrams, informal algebraic methods, or formal algebra in the form:

2.B.1.7.a: x + a = b

Modeling and Solving Two-Step Equations
Solving Two-Step Equations

2.B.1.7.b: ax = b

Solving Two-Step Equations

2.B.1.7.c: x/a = b

Solving Two-Step Equations

2.B.1.7.d: ax + b = c

Modeling and Solving Two-Step Equations

3: Shape and Space

3.A: Measurement

3.A.1: Estimate, measure and compare, using decimal numbers or fractions and standard imperial and SI units of measure.

3.A.1.1: Select and use appropriate measuring devices and measurement units for direct measurements (in Imperial or SI units) including:

3.A.1.1.b: area

Area of Triangles

3.A.1.3: Solve problems involving linear dimensions, area and volume.

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles
Prisms and Cylinders
Similar Figures

3.A.1.4: Convert between SI and imperial systems of measure, using a conversion table or calculator.

Unit Conversions

3.A.2: Generalize measurement patterns and procedures, and solve problems involving area, perimeter, surface area and volume.

3.A.2.6: Use rules or expressions for determining the areas and perimeters of polygons by portioning them into rectangles and triangles.

Area of Parallelograms
Area of Triangles

3.A.4: Solve problems involving the properties of circles and their connections with angles and time zones.

3.A.4.9: Measure the diameters, radii and circumferences of circles, and establish the relationships among them.

Circumference and Area of Circles

3.A.4.11: Solve problems involving the radii, diameters, area and circumferences of circles.

Circumference and Area of Circles

3.A.5: Apply indirect measurement procedures to solve problems.

3.A.5.12: Use concrete materials and diagrams to verify the Pythagorean relationship.

Pythagorean Theorem

3.A.5.13: Use the Pythagorean relationship to calculate the measure of the third side, of a right triangle, given the other two sides in 2-D applications.

Cosine Function
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Tangent Function