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  • Virginia Standards
  • Mathematics: 5th Grade

Virginia - Mathematics: 5th Grade

VA--Standards of Learning | Adopted: 2016

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

NS: : Number and Number Sense


NS.5.2: : The student will

NS.5.2.a: : represent and identify equivalencies among fractions and decimals, with and without models; and

Screenshot of Fraction, Decimal, Percent (Area and Grid Models)

Fraction, Decimal, Percent (Area and Grid Models)

Model and compare fractions, decimals, and percents using area models. Each area model can have 10 or 100 sections and can be set to display a fraction, decimal, or percent. Click inside the area models to shade them. Compare the numbers visually or on a number line. 5 Minute Preview


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Screenshot of Modeling Decimals (Area and Grid Models)

Modeling Decimals (Area and Grid Models)

Model and compare decimals using area models. Set the number of sections in each model to 1, 10, or 100, and then click in the models to shade sections. Compare decimals visually and on a number line. 5 Minute Preview


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NS.5.2.b: : compare and order fractions, mixed numbers, and/or decimals in a given set, from least to greatest and greatest to least.

Screenshot of Comparing and Ordering Decimals

Comparing and Ordering Decimals

Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line. 5 Minute Preview


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Screenshot of Fraction Garden (Comparing Fractions)

Fraction Garden (Comparing Fractions)

Plant flowers in two gardens to help develop fraction sense. The two gardens act as number lines, from 0 to 1. Use the flowers in the gardens to compare fractions and to explore equivalent fractions. Chalk marks can be drawn to divide the garden into equal sections. 5 Minute Preview


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Screenshot of Fraction, Decimal, Percent (Area and Grid Models)

Fraction, Decimal, Percent (Area and Grid Models)

Model and compare fractions, decimals, and percents using area models. Each area model can have 10 or 100 sections and can be set to display a fraction, decimal, or percent. Click inside the area models to shade them. Compare the numbers visually or on a number line. 5 Minute Preview


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Screenshot of Modeling Decimals (Area and Grid Models)

Modeling Decimals (Area and Grid Models)

Model and compare decimals using area models. Set the number of sections in each model to 1, 10, or 100, and then click in the models to shade sections. Compare decimals visually and on a number line. 5 Minute Preview


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Screenshot of Modeling Fractions (Area Models)

Modeling Fractions (Area Models)

Model and compare fractions using area models. Set the denominators with the arrow buttons, and then set the numerators with the arrow buttons or by clicking in the models. Compare fractions visually, on a number line, or numerically using the least common denominator. 5 Minute Preview


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Screenshot of Modeling Whole Numbers and Decimals (Base-10 Blocks)

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Model numbers with base-10 blocks. Drag flats, rods, and individual cubes onto a mat to model a number. Blocks can be exchanged from one area of the mat to the other. Four sets of blocks are available to model a variety of whole numbers and decimals. 5 Minute Preview


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Screenshot of Treasure Hunter (Decimals on the Number Line)

Treasure Hunter (Decimals on the Number Line)

Drive a desert highway searching for buried treasure. Learn to use the car's tens, ones, tenths, and hundredths gears, along with a GPS system (number line), to find the right place to dig. Plot your findings on a zoomable number line map. Can you become a master Treasure Hunter? 5 Minute Preview


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NS.5.3: : The student will

NS.5.3.a: : identify and describe the characteristics of prime and composite numbers; and

Screenshot of Chocomatic (Multiplication, Arrays, and Area)

Chocomatic (Multiplication, Arrays, and Area)

Use the Chocomatic to design candy bars made out of chocolate squares. Use multiplication to find the number of squares in each chocolate bar. Build collections of chocolate bars that all have the same number of squares. Solve multiplication problems by joining two smaller chocolate bars into a large bar. 5 Minute Preview


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Screenshot of Factor Trees (Factoring Numbers)

Factor Trees (Factoring Numbers)

The Factor Trees Gizmo has two modes. In Factor mode, you can create factor trees to factor composite numbers into primes. In Build mode, you can build numbers by multiplying primes together. Can you build all composite numbers up to 50? Any whole composite number up to 999 can be factored or built with the Gizmo. 5 Minute Preview


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CE: : Computation and Estimation


CE.5.4: : The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of whole numbers.

Screenshot of Cargo Captain (Multi-digit Subtraction)

Cargo Captain (Multi-digit Subtraction)

You are the captain of an interplanetary cargo ship, delivering important supplies to the outer planets. The cargo can be stored in barrels, crates, and holds. (There are 10 barrels in a crate, and 10 crates in a hold.) Model multi-digit subtraction by unloading cargo on each planet. 5 Minute Preview


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Screenshot of Critter Count (Modeling Multiplication)

Critter Count (Modeling Multiplication)

Use groups of critters on leaves to model multiplication as repeated addition. Change the expression to change the number of groups or the number of critters per group. Display the critters either on leaves or as a rectangular array. 5 Minute Preview


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Screenshot of No Alien Left Behind (Division with Remainders)

No Alien Left Behind (Division with Remainders)

The alien school children from the planet Zigmo travel to distant planets on a field trip. The goal is to select a bus size so that all buses are full and no aliens are left behind. This is a nice illustration of division with remainders. 5 Minute Preview


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Screenshot of Number Line Frog Hop (Addition and Subtraction)

Number Line Frog Hop (Addition and Subtraction)

Live a frog's life as you hop along a number line in search of flies. Learn how addition and subtraction can be represented as movement along a number line. Fred the frog may even help you get better at adding and subtracting two-digit numbers in your head by decomposing them into tens and ones. 5 Minute Preview


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CE.5.5: : The student will

CE.5.5.a: : estimate and determine the product and quotient of two numbers involving decimals; and

Screenshot of Multiplying Decimals (Area Model)

Multiplying Decimals (Area Model)

Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product). 5 Minute Preview


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Screenshot of Multiplying with Decimals

Multiplying with Decimals

Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region. 5 Minute Preview


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CE.5.5.b: : create and solve single-step and multistep practical problems involving addition, subtraction, and multiplication of decimals, and create and solve single-step practical problems involving division of decimals.

Screenshot of Multiplying with Decimals

Multiplying with Decimals

Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region. 5 Minute Preview


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CE.5.6: : The student will

CE.5.6.a: : solve single-step and multistep practical problems involving addition and subtraction with fractions and mixed numbers; and

Screenshot of Fractions Greater than One (Fraction Tiles)

Fractions Greater than One (Fraction Tiles)

Explore fractions greater than one with the Fractionator, a fraction-tile-making machine in the Gizmo. Create sums of fraction tiles on two number lines. Sums greater than one are shown as improper fractions on the top number line, and as mixed numbers on the bottom number line. 5 Minute Preview


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Screenshot of Fractions with Unlike Denominators

Fractions with Unlike Denominators

Find the sum or difference of two fractions with unlike denominators using graphic models. Find the least common denominator graphically. 5 Minute Preview


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CE.5.6.b: : solve single-step practical problems involving multiplication of a whole number, limited to 12 or less, and a proper fraction, with models.

Screenshot of Multiplying Fractions

Multiplying Fractions

Multiply two fractions using an area model. Vary the vertical area to change one fraction and vary the horizontal area to change the other. Then examine the intersection of the areas to find the product. 5 Minute Preview


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CE.5.7: : The student will simplify whole number numerical expressions using the order of operations.

Screenshot of Order of Operations

Order of Operations

Select and evaluate the operations in an expression following the correct order of operations. 5 Minute Preview


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MG: : Measurement and Geometry


MG.5.8: : The student will

MG.5.8.a: : solve practical problems that involve perimeter, area, and volume in standard units of measure; and

Screenshot of Fido's Flower Bed (Perimeter and Area)

Fido's Flower Bed (Perimeter and Area)

Construct models of gardens on a grid using squares of sod. Fence the gardens to find and compare perimeters. Work with pre-built gardens made of 36 squares each to compare perimeters of shapes with equal areas. 5 Minute Preview


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MG.5.9: : The student will

MG.5.9.a: : given the equivalent measure of one unit, identify equivalent measurements within the metric system; and

Screenshot of Cannonball Clowns (Number Line Estimation)

Cannonball Clowns (Number Line Estimation)

Launch clowns from a circus cannon and try to hit the target. Drag digit cards on the control panel to set the launch distance and choose an appropriate unit of distance. After practicing your clown-launching skills on a number line, move on to the Big Top, Football Field, School Buses, the Golden Gate Bridge, and more! 5 Minute Preview


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MG.5.11: : The student will solve practical problems related to elapsed time in hours and minutes within a 24-hour period.

Screenshot of Elapsed Time

Elapsed Time

Calculate the difference between the times given by two analog clocks. Rotate the hands of the clocks to change the time and see how the calculation changes. 5 Minute Preview


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MG.5.13: : The student will

MG.5.13.a: : classify triangles as right, acute, or obtuse and equilateral, scalene, or isosceles; and

Screenshot of Classifying Triangles

Classifying Triangles

Place constraints on a triangle and determine what classifications must apply to the triangle. 5 Minute Preview


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MG.5.13.b: : investigate the sum of the interior angles in a triangle and determine an unknown angle measure.

Screenshot of Triangle Angle Sum

Triangle Angle Sum

Measure the interior angles of a triangle and find the sum. Examine whether that sum is the same for all triangles. Also, discover how the measure of an exterior angle relates to the interior angle measures. 5 Minute Preview


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MG.5.14: : The student will

MG.5.14.a: : recognize and apply transformations, such as translation, reflection, and rotation; and

Screenshot of Rock Art (Transformations)

Rock Art (Transformations)

Create your own rock art with ancient symbols. Each symbol can be translated, rotated, and reflected. After exploring each type of transformation, see if you can use them to match ancient rock paintings. 5 Minute Preview


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MG.5.14.b: : investigate and describe the results of combining and subdividing polygons.

Screenshot of Area of Triangles

Area of Triangles

Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles. 5 Minute Preview


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PS: : Probability and Statistics


PS.5.15: : The student will determine the probability of an outcome by constructing a sample space or using the Fundamental (Basic) Counting Principle.

Screenshot of Spin the Big Wheel! (Probability)

Spin the Big Wheel! (Probability)

Step right up! Spin the big wheel! Each spin can result in no prize, a small prize, or a big prize. The wheel can be spun by 1, 10, or 100 players. Results are recorded on a frequency table or a circle graph. You can also design your own wheel and a sign that describes the probabilities for your wheel. 5 Minute Preview


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PS.5.16: : The student, given a practical problem, will

PS.5.16.a: : represent data in line plots and stem-and-leaf plots;

Screenshot of Reaction Time 2 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean. 5 Minute Preview


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PS.5.16.b: : interpret data represented in line plots and stem-and-leaf plots; and

Screenshot of Reaction Time 2 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean. 5 Minute Preview


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Screenshot of Stem-and-Leaf Plots

Stem-and-Leaf Plots

Build a data set and compare the line plot of the data set to the stem-and-leaf plot. 5 Minute Preview


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PS.5.16.c: : compare data represented in a line plot with the same data represented in a stem-and-leaf plot.

Screenshot of Stem-and-Leaf Plots

Stem-and-Leaf Plots

Build a data set and compare the line plot of the data set to the stem-and-leaf plot. 5 Minute Preview


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PS.5.17: : The student, given a practical context, will

PS.5.17.a: : describe mean, median, and mode as measures of center;

Screenshot of Mean, Median, and Mode

Mean, Median, and Mode

Build a data set and find the mean, median, and mode. Explore the mean, median, and mode illustrated as frogs on a seesaw, frogs on a scale, and as frogs stacked under a bar of variable height. 5 Minute Preview


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Screenshot of Movie Reviewer (Mean and Median)

Movie Reviewer (Mean and Median)

Movie reviewers rate movies on a scale of 0 to 10. Each movie comes with a set of reviews that can be changed by the user. The mean of a data set can be explored using a see-saw balance model. Students can also find the median, mode, and range of the data set. 5 Minute Preview


Lesson Info
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Screenshot of Reaction Time 1 (Graphs and Statistics)

Reaction Time 1 (Graphs and Statistics)

Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 1 Student Exploration focuses on range, mode, and median. 5 Minute Preview


Lesson Info
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Screenshot of Reaction Time 2 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean. 5 Minute Preview


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PS.5.17.c: : describe the range of a set of data as a measure of spread; and

Screenshot of Reaction Time 1 (Graphs and Statistics)

Reaction Time 1 (Graphs and Statistics)

Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 1 Student Exploration focuses on range, mode, and median. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Reaction Time 2 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean. 5 Minute Preview


Lesson Info
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PS.5.17.d: : determine the mean, median, mode, and range of a set of data.

Screenshot of Mean, Median, and Mode

Mean, Median, and Mode

Build a data set and find the mean, median, and mode. Explore the mean, median, and mode illustrated as frogs on a seesaw, frogs on a scale, and as frogs stacked under a bar of variable height. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Movie Reviewer (Mean and Median)

Movie Reviewer (Mean and Median)

Movie reviewers rate movies on a scale of 0 to 10. Each movie comes with a set of reviews that can be changed by the user. The mean of a data set can be explored using a see-saw balance model. Students can also find the median, mode, and range of the data set. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Reaction Time 1 (Graphs and Statistics)

Reaction Time 1 (Graphs and Statistics)

Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 1 Student Exploration focuses on range, mode, and median. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Reaction Time 2 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean. 5 Minute Preview


Lesson Info
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PFA: : Patterns, Functions, and Algebra


PFA.5.18: : The student will identify, describe, create, express, and extend number patterns found in objects, pictures, numbers and tables.

Screenshot of Function Machines 1 (Functions and Tables)

Function Machines 1 (Functions and Tables)

Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph. 5 Minute Preview


Lesson Info
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Screenshot of Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph. 5 Minute Preview


Lesson Info
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Screenshot of Pattern Flip (Patterns)

Pattern Flip (Patterns)

In the Pattern Flip carnival game, you are shown a pattern of cards. The first cards are face-up so you can see the pattern, and the rest are face-down. Can you guess which animals are on the face-down cards? Use one of the preset patterns, or make your own custom pattern. Good luck! 5 Minute Preview


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PFA.5.19: : The student will

PFA.5.19.a: : investigate and describe the concept of variable;

Screenshot of Using Algebraic Equations

Using Algebraic Equations

Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation. 5 Minute Preview


Lesson Info
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Screenshot of Using Algebraic Expressions

Using Algebraic Expressions

Translate algebraic expressions into English phrases, and translate English phrases into algebraic expressions. Read the expression or phrase and select word tiles or symbol tiles to form the corresponding phrase or expression. 5 Minute Preview


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PFA.5.19.b: : write an equation to represent a given mathematical relationship, using a variable;

Screenshot of Using Algebraic Equations

Using Algebraic Equations

Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation. 5 Minute Preview


Lesson Info
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Screenshot of Using Algebraic Expressions

Using Algebraic Expressions

Translate algebraic expressions into English phrases, and translate English phrases into algebraic expressions. Read the expression or phrase and select word tiles or symbol tiles to form the corresponding phrase or expression. 5 Minute Preview


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PFA.5.19.c: : use an expression with a variable to represent a given verbal expression involving one operation; and

Screenshot of Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Using Algebraic Expressions

Using Algebraic Expressions

Translate algebraic expressions into English phrases, and translate English phrases into algebraic expressions. Read the expression or phrase and select word tiles or symbol tiles to form the corresponding phrase or expression. 5 Minute Preview


Lesson Info
Launch Gizmo

PFA.5.19.d: : create a problem situation based on a given equation, using a single variable and one operation.

Screenshot of Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Function Machines 3 (Functions and Problem Solving)

Function Machines 3 (Functions and Problem Solving)

Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph. 5 Minute Preview


Lesson Info
Launch Gizmo
Screenshot of Using Algebraic Equations

Using Algebraic Equations

Translate equations into English sentences and translate English sentences into equations. Read the equation or sentence and select word tiles or symbol tiles to form the corresponding sentence or equation. 5 Minute Preview


Lesson Info
Launch Gizmo

Correlation last revised: 9/16/2020

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