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Mathematics
Pienado! Odd Squad (Math - Kindergarten)

Pienado! Odd Squad (Math - Kindergarten)

This game from Odd Squad will help children with identifying two-dimensional shapes, such as rectangles, squares, and triangles, and combining shapes to fit a pattern. They will manipulate 2D shapes by rotating, slicing, and re-combining simple shapes into increasingly more complex ones.

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Phi 1.61803: Art in Math and Science: Ratio, Proportion and Percent (Math & Science - Grade 5)

Phi 1.61803: Art in Math and Science: Ratio, Proportion and Percent (Math & Science - Grade 5)

Chances are good that when you think of beauty and objects that are most pleasing to the eye, you aren’t thinking of ratio, proportion or percent. But this unit, which is inspired by the work of artist Chuck Close, might change that.

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Phi 1.61803: Art in Math and Science: Interior Angles of Triangles and Quadrilaterals (Math & Science - Grade 5)

Phi 1.61803: Art in Math and Science: Interior Angles of Triangles and Quadrilaterals (Math & Science - Grade 5)

Our diverse buildings, diamond jewelry, traffic patterns, modern art, classical furniture, Broadway stage designs and simple tools of daily living are all constructed of angles. Understanding angles increases both artistic appreciation and comprehension of function.

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Phi 1.61803: Art in Math and Science: Sound Energy (Math & Science - Grade 5)

Phi 1.61803: Art in Math and Science: Sound Energy (Math & Science - Grade 5)

Controlling sound is important to health, mood, entertainment and especially communication. Mark Mothersbaugh, an original member of the rock band Devo and an Ohio native whose work has been featured at the Akron Art Museum, was the inspiration for this unit. Both he and the museum are interested in the art of sound. A beginning understanding of the basics about the transmission, reflection and absorption of sound waves would be useful to anyone. This unit is designed to support and focus your lessons.

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Understanding a Crowd's Predictive Ability (Math - High School)

Understanding a Crowd's Predictive Ability (Math - High School)

Examine a mathematical theory known as the “wisdom of crowds,” which holds that a crowd’s predictive ability is greater than that of an individual, in this video from NOVA: Prediction by the Numbers. Sir Francis Galton documented this phenomenon after witnessing a weight-guessing contest more than a hundred years ago at a fair. Statistician Talithia Williams tests Galton’s theory with modern-day fairgoers, asking them to guess the number of jelly beans in a jar. Use this resource to stimulate thinking and questions about the use of statistics in everyday life and to make evidence-based claims about predictive ability

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You Pour, I Choose: The Volume of Cylinders (Math - High School)

You Pour, I Choose: The Volume of Cylinders (Math - High School)

Compare the volume of varied cylindrical glasses filled to different heights. This interactive exercise focuses on using what you know about cylinders to make a prediction about their volume and then requires calculating the actual volume to see if your prediction was accurate.

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Math of Energy - Fossil Fuel Usage (Math - High School)

Math of Energy - Fossil Fuel Usage (Math - High School)

The use of fossil fuels, which has increased steadily since the beginning of the 20th century, has enabled many advancements in the quality of life around the world. However, fossil fuels are a limited resource and could become scarce during the 21st century. To create projections for future global energy consumption, we can apply lines of best-fit to historical data. There are several estimates of fossil fuel reserves remaining in the earth and these estimates are continually revised. In order to estimate when fossil fuels will be exhausted, we can equate the total fossil fuel resource base with the integral of our line of best-fit and solve for the time. The data in this episode is taken from 2012 studies on fossil fuel consumption.

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Economic Impact of a Changing Middle Class (Math - High School)

Economic Impact of a Changing Middle Class (Math - High School)

Students analyze economic data to better understand America’s middle class, its role in the economy, and its impact on economic growth. In this interactive lesson, students use media produced for How the Deck Is Stacked, and tables and graphs created from Pew Research Center and government data to examine household income and spending trends and the widening wealth gap between the upper and lower income tiers. Interim assessments evaluate students’ ability to interpret data, make inferences, and justify conclusions. At the end of the lesson, students write an evidence-based essay on why a shrinking middle class matters to the U.S. economy.

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Plotting Pairs of Coordinate Points — Cyberchase (Math - Middle School)

Plotting Pairs of Coordinate Points — Cyberchase (Math - Middle School)

Students watch a set of Cyberchase video clips which show that between two points there is exactly one line, and that if two lines intersect, they intersect at a point. These ideas are used to motivate students to learn to plot points in all four quadrants, draw line segments connecting pairs of points, and find the coordinates of the intersection.

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Can You Solve This Pier Puzzle? (Math - Middle School)

Can You Solve This Pier Puzzle? (Math - Middle School)

This math brainteaser challenges you to find a simple, elegant solution to a seemingly complex problem! Can you figure it out?

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Beat the Odds (Math - Middle School)

Beat the Odds (Math - Middle School)

Develop, use, and explore experimental probability models. This interactive exercise focuses on calculating the probabilities of random events and playing a game where you bet virtual money on the outcome of random events. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.

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Making Stuff Faster: The Math behind Package Delivery — Nova (Math - Middle School)

Making Stuff Faster: The Math behind Package Delivery — Nova (Math - Middle School)

Learn how UPS, a global package delivery company, has developed an algorithm to schedule routes for its delivery trucks in this video from NOVA: Making Stuff Faster. Host and technology columnist David Pogue examines how difficult it is to find the most efficient way to visit multiple locations—a mathematical challenge known as the "traveling salesman problem." UPS has developed a system that breaks the problem down into smaller problems so that a computer can approximate the best solution without having to do an astronomical amount of calculations.

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Deep Sea Follow Me - The Cat in the Hat

Deep Sea Follow Me - The Cat in the Hat (Math - 1st Grade)

Use this Cat in the Hat game resource to help children describe, name, and interpret relative positions in space using position words such as under, over, next to, and behind. Head to the bottom of the Swirly Whirly Ocean with Sally, Nick, and the Cat in the Hat to help Gari Garibaldi search a very unusual coral reef for a new place to live. The player follows directional clues to find just the right reef homes for Gari and his fish friends.

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Counting by tens song - Peg + Cat (Math - 2nd Grade)

Counting by tens song - Peg + Cat (Math - 2nd Grade)

In this clip that corresponds to the activity Chicken Feed, Ramone and Peg sing a song about counting by 10's while they save the chickens from Big Mouth.

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Exploring Number Patterns to Discover Common Factors (Math - 3rd Grade)

Exploring Number Patterns to Discover Common Factors (Math - 3rd Grade)

In this Cyberchase activity, students explore different repeating patterns to predict when two or more events will occur at the same time. In the video segment, the CyberSquad examines patterns and beats in music. Students are encouraged to create patterns and draw conclusions. In doing so they learn to predict the least common factor of up to three numbers.

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Rounding to the Tenths Place (Math - 4th Grade)

Rounding to the Tenths Place (Math - 4th Grade)

Only numbers with tenths can get in to the number line party, what's a decimal with hundredths to do? This interactive exercise focuses on using what you know about number lines and rounding to the tenths place and then asks you to think about what numbers could be rounded to get a certain decimal.

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Sorting it Out (Math - Kindergarten)

Sorting it Out (Math - Kindergarten)

This large or small group activity from PBS KIDS Lab encourages students to observe carefully, analyze, and make comparisons and predictions based on data they gather. Students will sort shoes by different attributes, such as how they fasten, color, size, and type of shoe (i.e., sneaker, boot, sandal, etc.). They will then record their findings on a chart made from a shower curtain and count the shoes in each attribute category. Students will also collaborate with their peers to answer questions about their findings.

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QuizBus: Dealing with Data: Introduction to Data Analysis (Math - Grades 4-8)

QuizBus: Dealing with Data: Introduction to Data Analysis (Math - Grades 4-8)

Are you ready to catch a ride on the QuizBus? QuizBus: Dealing with Data will help students in Grades 4-8 have practice with collecting data, presenting it in an understandable fashion, analyzing the data through graphing, identifying ways data can be distorted and looking at both arithmetic and geometric probability (area models).

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QuizBus: Dealing with Data: Line Plots, Bar Graphs, Histograms and Circle Graphs (Math - Grades 4-8)

QuizBus: Dealing with Data: Line Plots, Bar Graphs, Histograms and Circle Graphs (Math - Grades 4-8)

Are you ready to catch a ride on the QuizBus? QuizBus: Dealing with Data will help students in Grades 4-8 have practice with collecting data, presenting it in an understandable fashion, analyzing the data through graphing, identifying ways data can be distorted and looking at both arithmetic and geometric probability (area models).

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QuizBus: Dealing with Data: Stem-and-Leaf Plots, Box-and-Whisker Plots and Scatter Plots (Math - Grades 4-8)

QuizBus: Dealing with Data: Stem-and-Leaf Plots, Box-and-Whisker Plots and Scatter Plots (Math - Grades 4-8)

Are you ready to catch a ride on the QuizBus? QuizBus: Dealing with Data will help students in Grades 4-8 have practice with collecting data, presenting it in an understandable fashion, analyzing the data through graphing, identifying ways data can be distorted and looking at both arithmetic and geometric probability (area models).

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QuizBus: Dealing with Data: Doing Data Projects (Math - Grades 4-8)

QuizBus: Dealing with Data: Doing Data Projects (Math - Grades 4-8)

Are you ready to catch a ride on the QuizBus? QuizBus: Dealing with Data will help students in Grades 4-8 have practice with collecting data, presenting it in an understandable fashion, analyzing the data through graphing, identifying ways data can be distorted and looking at both arithmetic and geometric probability (area models).

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QuizBus: Dealing with Data: Probability (Math - Grades 4-8)

QuizBus: Dealing with Data: Probability (Math - Grades 4-8)

Are you ready to catch a ride on the QuizBus? QuizBus: Dealing with Data will help students in Grades 4-8 have practice with collecting data, presenting it in an understandable fashion, analyzing the data through graphing, identifying ways data can be distorted and looking at both arithmetic and geometric probability (area models).

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Highlight Zone - Peg + Cat (Math - Kindergarten)

Highlight Zone - Peg + Cat (Math - Kindergarten)

Use this game resource to help children learn how to recognize shapes, count to 10, and compare shapes and sizes. Everything is black and white in the Highlight Zone! Shapes and sizes have changed, too. Peg and Cat have to spot ten differences in the Highlight Zone to get things back to normal.

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Do You See My Seahorse - The Cat in the Hat | PBS KIDS Lab (Math - Kindergarten)

Do You See My Seahorse - The Cat in the Hat | PBS KIDS Lab (Math - Kindergarten)

Use this Cat in the Hat game resource to help children recognize numbers and count and add groups of objects. The baby seahorses have become separated from their fathers! Use the number clues to ensure a happy reunion for all. Count groups of babies to find the groups with the same number of babies as the numerals on each seahorse father.

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Math and Science Gumbo: Restaurant (Grades 3-6)

Math and Science Gumbo: Restaurant (Grades 3-6)

Restaurants and school cafeterias buy and prepare large quantities of food every day. How do they know what to buy and prepare when they don’t know exactly how many people are coming to dinner?

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Math and Science Gumbo: Bake Shop (Grades 3-6)

Math and Science Gumbo: Bake Shop (Grades 3-6)

There’s nothing like the aroma of fresh, hot baked goods, right out of the oven. In this section, students will learn about units of measurement, fractions and the physical and chemical changes of baking.

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Math and Science Gumbo: Pizza Shop (Grades 3-6)

Math and Science Gumbo: Pizza Shop (Grades 3-6)

Hot, fresh pizzas are more than just delicious! Their different shapes are perfect for learning about fractions, remainders, percentage and area. Plus, a pizza’s baking process is the perfect way to learn about elapsed time.

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Math and Science Gumbo: Food Preservation (Grades 3-6)

Math and Science Gumbo: Food Preservation (Grades 3-6)

Preserving food to prevent spoilage involves chemical and physical changes. It also requires knowledge of units of measurement, volume and food safety.

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Math and Science Gumbo: Grocery Store (Grades 3-6)

Math and Science Gumbo: Grocery Store (Grades 3-6)

Many good recipes require the cook to purchases items at the grocery store. Smart shoppers understand unit pricing, estimation and computation, economics, multiples and the various methods used for paying for purchases.

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Zombies and Calculus, Part 1

Zombies and Calculus, Part 1 (Math - High School)

Learn about the math behind predator-prey population cycles in this video from NOVA Digital. In this example, zombie and human populations fluctuate. The zombie population increases as zombies convert humans into zombies. However, without enough humans to eat, zombies die and the population shrinks. The human population increases as humans reproduce but decreases as zombies eat humans. The populations of humans and zombies change through time according to a pair of differential equations. Because human and zombie populations are related, the growth rate of each population depends on the current numbers of both humans and zombies.

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Statistics: Using Sampling to Count Trees

Statistics: Using Sampling to Count Trees (Math - High School)

In this activity, students will learn about estimating the number of trees in a large area based on a smaller area. This is one way statisticians measure forests and other wide expanses of land. It's also a great way to illustrate how polling works. Scientists will interview a smaller sample size of Americans, rather than every single American, and then make estimations based on their results. In the same way, we counted smaller samples of trees, rather than all of the trees individually to get an estimate of how many trees are in the park total.

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The Angle on Pool

The Angle on Pool (Math - High School)

Investigate how players think about angles in the game of pool. This video focuses on how using forward and reverse spin effects the rebound angle of the cue ball and how angles help to correctly aim your bank shot taking math out of the classroom and into the real world.

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Equivalent Expressions Using Exponents

Equivalent Expressions Using Exponents (Math - 8th Grade)

Apply your critical thinking skills to learn about multiplication and division of exponents. This interactive exercise focuses on positive and negative exponents and combining exponents in an effort to get you to recognize patterns and determine a rule.

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Random Sampling: How Many Fish?

Random Sampling: How Many Fish? (Math - 7th Grade)

Experiment with random sampling methodology using goldfish crackers. This video focuses on making inferences based on a set of data, finding averages, and using a ratio table to demonstrate statistical procedures used by scientists when estimating populations in the real world.

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Horizontal and Vertical Distances on the Cartesian Graph

Horizontal and Vertical Distances on the Cartesian Graph (Math - 6th Grade)

Students use logic and mathematical skill to place aquatic animals at locations on a Cartesian graph with cardinal directions. Then, they determine both the vertical and horizontal distances between points. The riddles in the interactive, including one that requires an understanding of rate, have randomized values so that students can practice placing points at different locations and calculating different distances.

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Balancing Number Sentences to Introduce Missing Values

Balancing Number Sentences to Introduce Missing Values (Math - 5th Grade)

Students learn about balancing equations and keeping an equation balanced by adding/subtracting the same amount to both sides of the equation. Students solve missing value problems and justify their solutions.

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Explore the Relationship Among Fractions, Decimal Notation, and Percents (Math - 4th Grade)

Explore the Relationship Among Fractions, Decimal Notation, and Percents (Math - 4th Grade)

In this Cyberchase media gallery, a series of videos explores the relationships among fractions, decimals, and percents, which can be used to represent the same values in different ways. In the accompanying classroom activity, students shade in parts of squares and rectangles drawn on a piece of graph paper and express the shaded amount in the form of a fraction, a decimal, and a percent.

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New Age Curriculum Songs | Media Arts Toolkit (Math - 3rd Grade)

New Age Curriculum Songs | Media Arts Toolkit (Math - 3rd Grade)

Jonathan Stovall, a Kentucky educator, came up with an idea of using songwriting and recording to help students understand math concepts. To help in the song creation and recording, Stovall partnered with recording artist Allen Witcher and music producer and engineer Justin Eckerd, owner of NF Records recording studio. The songs soon became hits across the school district. Stovall was soon being asked by students and teachers to create songs on topics across grades and subjects. He started calling the project The New Age Curriculum.

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Agent Obfusco's Challenges | Odd Squad

Agent Obfusco's Challenges | Odd Squad
(Math - 2nd Grade)

Olive and Otto have to solve a series of challenges to keep their Odd Squad badges. Olive and Otto become concerned when they find out that the test they have to take to keep their Odd Squad badges is being administered by Agent Obfusco, a mysterious agent who speaks only in word problems. They create number sentences to figure out the answers.

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Pattern Recognition | Cyberchase Games (Math - 1st Grade)

Pattern Recognition | Cyberchase Games (Math - 1st Grade)

Identify the patterns using addition, subtraction, and geometry to solve the puzzle and crack Hacker's code.

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Peg + Cat - Balancing Nature | Science Crafts for Kids (Math - Kindergarten)

Peg + Cat - Balancing Nature | Science Crafts for Kids (Math - Kindergarten)

Share a science adventure! Peg and Cat use math every day to solve problems and answer questions. Make a balancing scale with your child at home to compare the weights of objects found in nature.

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Bathtub Splash | Peg + Cat (Math - Kindergarten)

Bathtub Splash | Peg + Cat (Math - Kindergarten)

How many buckets of water will it take to fill the tub for Peg and Cat? First, make an estimate. Don’t worry, it’s just a guess. Then let’s try it to find out! Dump the containers of water into the tub as Peg counts aloud, and watch it get sudsier and sudsier until it’s full and super-sudsy!

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Popcorn Picker: Volumes of Solid Shapes (Math - High School)

Popcorn Picker: Volumes of Solid Shapes
(Math - High School)

Experiment with the volume of two cylinders made from the same size paper. This interactive exercise focuses on using what you know about cylinders to make a prediction about their volume and then requires calculating the actual volume to see if your prediction was accurate.

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Pattern Recognition | Cyberchase Games

Pattern Recognition | Cyberchase Games
(Math - 1st Grade)

Identify the patterns using addition, subtraction, and geometry to solve the puzzle and crack Hacker's code.

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Digital Skills

Cut and Paste Proofs for Triangle Congruence
(Grades 9-12)

Complete formal proofs to show triangles congruence.

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Supporting Instructional Videos:

Human Performance and Data

Human Performance and Data (Grades 9-12)

Students learn how interesting statistics and data collection can be when used in real-life human performance experiments. Students will learn about univariate and multivariate data and how experiments are impacted by data gathering. This video is available in both English and Spanish audio, along with corresponding closed captions.

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Gathering Data to Analyze

Gathering Data to Analyze

Count and chart the numbers of raisins in different boxes to see variability. Then graph data given on a line plot to visualize the variation. This media gallery features two, complementary, interactive exercises working with similar data sets and focuses on the different ways to analyze the same data. This resource is part of the Math at the Core: Middle School Collection.

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Digital Skills

Leaping into Rational Numbers (Grades 5-8)

Solve puzzles and graph the solutions on an online number line.

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Supporting Instructional Videos:

Cyberchase

Using Data Clusters to Find Hacker

In this video segment from Cyberchase, Hacker has kidnapped Dr. Marbles and the CyberSquad is out to rescue him. Hacker has Dr. Marbles hidden somewhere in a castle in Castleblanca. The CyberSquad surveys the residents to try to find out where Hacker has been seen. They display their findings on a map so they can analyze their data and find Hacker. Upon displaying their data the CyberSquad realizes they all conducted the survey differently. They then re-conduct the survey in the same manner and combine the old and new results to find Hacker.

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Digital Skills

Equivalent Fractions (Grades 1-3)

Students will explore making equivalent fractions using on online interactive tool.

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Supporting Instructional Videos

PBS Kids

Operation: Data Saves the Day

Data comes to the rescue! Children will collect, analyze, and represent data as they try to dodge a series of catastrophes faced by characters from their favorite PBS KIDS shows. First, they will save the citizens of Botopolis from a strange sleeping sickness by tallying up the ingredients for the antidote. Then, they will save Professor Fizzy’s melting lunch by sorting and organizing the food in his fridge and freezer. Next, they will use bar graphs and circle graphs to stop The Electric Company’s Francesca from scrambling all the words on Earth. Finally, children will try to help the Cybersquad win the big game against the evil Hacker by using data to predict where his batter will hit the ball.

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Peg + Cat

Rock Art - Peg + Cat | PBS KIDS Lab

Use this Peg + Cat game resource with children to count along as they pick up rocks and turn them into works of art. They can put the rocks they've won into a fabulous photo. Be creative, and have fun!

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Curious George

High Five - Curious George | PBS KIDS Lab

Use this game resource to help children make some great art with George. Monkey-hand painting: what better way to learn how to count by fives!

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Sid’s Question

Sid’s Question: "How Can You Measure a Whale?"

Sid has a new ruler and wants to measure the biggest animal in the world: the Blue Whale! So, Sid has just got to know: how can he use a little ruler to measure something so big? (Spanish version also available.)

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