ExploreLearning Gizmos: Math & Science Virtual Labs and Simulations

B.12: Number Operations and Relationships

B.12.1: Use complex counting procedures such as union and intersection of sets and arrangements (permutations and combinations) to solve problems

Binomial Probabilities
Permutations
Permutations and Combinations

B.12.2: Compare real numbers using

B.12.2.a: order relations (>,<) and transitivity

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers

B.12.2.d: ratios, proportions, percents, rates of change

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Polling: Neighborhood

C.12: Geometry

C.12.1: Identify, describe, and analyze properties of figures, relationships among figures, and relationships among their parts by

C.12.1.c: using appropriate transformations (e.g., translations, rotations, reflections, enlargements)

Reflections
Rotations, Reflections and Translations
Translations

C.12.1.d: using reason and logic

Biconditional Statement
Conditional Statement

C.12.4: Use the two-dimensional rectangular coordinate system and algebraic procedures to describe and characterize geometric properties and relationships such as slope, intercepts, parallelism, and perpendicularity

Slope - Activity B

C.12.5: Identify and demonstrate an understanding of the three ratios used in right-triangle trigonometry (sine, cosine, tangent)

Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio

D.12: Measurement

D.12.1: Identify, describe, and use derived attributes (e.g., density, speed, acceleration, pressure) to represent and solve problem situations

Density Experiment: Slice and Dice
Density Laboratory
Density via Comparison
Determining Density via Water Displacement
Inclined Plane - Sliding Objects

D.12.2: Select and use tools with appropriate degree of precision to determine measurements directly within specified degrees of accuracy and error (tolerance)

Triple Beam Balance

D.12.3: Determine measurements indirectly, using

D.12.3.b: proportional reasoning, including those involving squaring and cubing (e.g., reasoning that areas of circles are proportional to the squares of their radii)

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Perimeters and Areas of Similar Figures
Polling: Neighborhood
Similar Figures - Activity A
Similar Polygons

D.12.3.d: formulas in applications (e.g., for compound interest, distance formula)

Distance Formula - Activity A
Simple and Compound Interest

D.12.3.e: geometric formulas to derive lengths, areas, or volumes of shapes and objects (e.g., cones, parallelograms, cylinders, pyramids)

Area of Parallelograms - Activity A
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area

D.12.3.f: geometric relationships and properties of circles and polygons (e.g., size of central angles, area of a sector of a circle)

Chords and Arcs
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

E.12: Statistics and Probability

E.12.1: Work with data in the context of real-world situations by

E.12.1.b: designing a data collection plan that considers random sampling, control groups, the role of assumptions, etc.

Polling: Neighborhood

E.12.2: Organize and display data from statistical investigations using

E.12.2.a: frequency distributions

Describing Data Using Statistics
Line Plots
Populations and Samples

E.12.2.b: percentiles, quartiles, deciles

Box-and-Whisker Plots

E.12.3: Interpret and analyze information from organized and displayed data when given

E.12.3.c: measures of correlation

Correlation
Solving Using Trend Lines

E.12.5: Determine the likelihood of occurrence of complex events by

E.12.5.a: using a variety of strategies (e.g., combinations) to identify possible outcomes

Binomial Probabilities
Permutations and Combinations

E.12.5.b: conducting an experiment

Geometric Probability - Activity A
Probability Simulations

E.12.5.c: designing and conducting simulations

Probability Simulations

E.12.5.d: applying theoretical probability

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

F.12: Algebraic Relationships

F.12.1: Analyze and generalize patterns of change (e.g., direct and inverse variation) and numerical sequences, and then represent them with algebraic expressions and equations

Arithmetic Sequences
Arithmetic and Geometric Sequences
Determining a Spring Constant
Direct Variation
Direct and Inverse Variation
Geometric Sequences

F.12.2: Use mathematical functions (e.g., linear, exponential, quadratic, power) in a variety of ways, including

F.12.2.a: recognizing that a variety of mathematical and real-world phenomena can be modeled by the same type of function

Exponential Functions - Activity A
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

F.12.2.c: describing the relationships among variable quantities in a problem

Exponential Functions - Activity A
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic
Using Algebraic Equations

F.12.2.d: using appropriate technology to interpret properties of their graphical representations (e.g., intercepts, slopes, rates of change, changes in rates of change, maximum, minimum)

Defining a Line with Two Points
Direct Variation
Direct and Inverse Variation
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Modeling Linear Systems - Activity A
Parabolas - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line