ExploreLearning Gizmos: Math & Science Virtual Labs and Simulations

A: Students use numbers in everyday and mathematical contexts to quantify or describe phenomena, develop concepts of operations with different types of numbers, use the structure and properties of numbers with operations to solve problems, and perform mathematical computations. Students develop number sense related to magnitude, estimation, and the effects of mathematical operations on different types of numbers. It is expected that students use numbers flexibly, using forms of numbers that best match a situation. Students compute efficiently and accurately. Estimation should always be used when computing with numbers or solving problems.

A.1: Students use factors and multiples.

A.1.a: Identify prime numbers and composite numbers and use their properties to solve problems.

Chocomatic (Multiplication, Arrays, and Area)

A.1.b: Use the property that every integer greater than one is a prime number or can be written as a unique product of prime numbers.

Chocomatic (Multiplication, Arrays, and Area)

A.2: Students express fractions greater than 0 as decimals and compare positive numbers that are written as fractions and decimals and place them on the number line.

Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Percents, Fractions, and Decimals
Rational Numbers, Opposites, and Absolute Values
Treasure Hunter (Decimals on the Number Line)

A.3: Students add, subtract, multiply, and divide numbers expressed as fractions and as decimals including mixed numbers.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fraction Artist 2 (Area Models of Fractions)
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
Square Roots
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

A.4: Students understand how to express relative quantities as percentages and as decimals and fractions.

A.4.b: Use decimals, fractions, and percentages to express relative quantities.

Comparing and Ordering Decimals
Fraction Artist 1 (Area Models of Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

A.4.c: Interpret relative quantities expressed as decimals, fractions, and percentages.

A.5: Students multiply and divide decimals with up to three decimal places by tens, hundreds, and thousands.

Multiplying Decimals (Area Model)
Percents, Fractions, and Decimals

B: Students make measurements and collect, display, evaluate, analyze, and compute with data to describe or model phenomena and to make decisions based on data. Students compute statistics to summarize data sets and use concepts of probability to make predictions and describe the uncertainty inherent in data collection and measurement. It is expected that when working with measurements students: understand that most measurements are approximations and that taking repeated measurements reveals this variability; understand that a number without a unit is not a measurement, and that an appropriate unit must always be attached to a number to provide a measurement; understand that the precision and accuracy of a measurement depends on selecting the appropriate tools and units; and use estimation comparing measures to benchmarks appropriate to the type of measure and units.

B.2: Students read and interpret pie charts.

Graphing Skills

B.3: Students find and compare the mean, median, mode, and range for sets of data.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Polling: City
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

C: Students use measurement and observation to describe objects based on their sizes and shapes; model or construct two-dimensional and three-dimensional objects; solve problems involving geometric properties; compute areas and volumes based on object properties and dimensions; and perform transformations on geometric figures. When making or calculating measures students use estimation to check the reasonableness of results.

C.1: Students represent solid figures in two dimensions.

C.1.a: Represent cubes, prisms, and square-based or triangular-based pyramids using nets.

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

C.2: Students find the perimeters and areas of geometric figures.

C.2.a: Triangles

Area of Triangles

C.2.b: Quadrilaterals

Area of Parallelograms
Area of Triangles
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

C.2.c: Circles

Circumference and Area of Circles

C.3: Students find the volume and surface areas of right prisms with bases that are triangles and quadrilaterals.

Balancing Blocks (Volume)
Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders

C.4: Students understand and use reflections, rotations, and translations to define and identify congruent plane figures.

C.4.a: Apply the understanding that if a plane figure can be laid on top of another plane figure by rotations, translations, or reflections then the figures are congruent.

Rock Art (Transformations)
Rotations, Reflections, and Translations

C.5: Students understand how to use proportional relationships to make indirect linear measurements and use scale drawings to make linear measurements.

Estimating Population Size

D: Students use symbols to represent or model quantities, patterns, and relationships and use symbolic manipulation to evaluate expressions and solve equations. Students solve problems using symbols, tables, graphs, and verbal rules choosing the most effective representation and converting among representations.

D.1: Students create and evaluate expressions.

D.1.a: Create and evaluate expressions using whole numbers.

Order of Operations

D.1.b: Create and evaluate expressions using positive fractions including decimals.

Order of Operations

D.2: Students recognize and solve problems involving linear equations and recognize examples and non-examples of linear equations.

D.2.a: Solve equations of the form ax +/- b = c where a, b, and c are whole numbers.

Solving Equations on the Number Line

D.2.b: Recognize from a table whether a relationship has a constant rate of change.

Function Machines 1 (Functions and Tables)

D.3: Students use tables, formulas, diagrams, and graphs to analyze relationships between quantities.

D.3.a: Use tables, formulas and graphs to analyze constant difference (additive) relationships.