## Picker Wheel

Help you to make a random decision

## Tool Settings

Quick Tool Links: Team Picker Wheel , Yes No Picker Wheel , Number Picker Wheel , Letter Picker Wheel , Country Picker Wheel , Date Picker Wheel , Image Picker Wheel

## Picker Wheel - Spin the Wheel to Decide a Random Choice

- What Is Picker Wheel?
- How to Use This Spinner?
- Wheel Customization?
- File Storage - How to Save/Open/Delete File?
- Share Wheel
- Create New Wheel and Switch Wheel
- Modify Title Section
- Enable Weight
- View All Results or Scores
- Full Screen View
- Types of Action Modes
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- Save as an App in Your Device

## 1. What Is Picker Wheel?

A stylish wheel spinner with various functions & customization. Just enter inputs, spin the wheel and get your random result.

In some situations, our brain just can't make a decision, so why not let the wheel spinner making the small decision.

By just inserting your inputs and spin wheel, you will immediately get a random result.

The wheel spinner will give you the fairest result by using the advanced algorithm behind it.

People often use the tool for raffles, teachings, remote events, and many other places.

Sections below explain the deep-dive of the Picker Wheel features.

## 2. How to Use This Spinner?

Picker Wheel is a fast and easy random picker in only 3 main steps. Insert inputs, spin the wheel, and get the result. It has many features which make decision-solving fun.

Picker Wheel is very easy to use. Below are the few steps for using the spinner to pick a random choice.

Insert text or image inputs. You can mix both of them.

Insert the text input one by one by clicking the + button or return key from your device.

It is now installed on your device.

## Let's Spin the Wheel Now - Happy Spinning!

Flip a coin to make a decision?

Try FlipSimu Coin Flipper->

Tool to solve puzzle from Wheel of Fortune, a TV Game Show where candidates have to solve puzzle based on hangman game, by proposing letters.

Wheel of Fortune - dCode

Tag(s) : Word Games, Board Games

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day! A suggestion ? a feedback ? a bug ? an idea ? Write to dCode !

¡Por favor, consulte nuestra comunidad (en Inglès) dCode Discord para solicitudes de ayuda! Nota: para mensajes cifrados, pruebe nuestro identificador de cifrado automático.

Feedback and suggestions are welcome so that dCode offers the best 'Wheel of Fortune' tool for free! Thank you!

- Wheel of Fortune
- Games and Solvers
- Wheel of Fortune Puzzle Solver

## Answers to Questions (FAQ)

- What is the Wheel of Fortune game? (Definition)

The wheel of fortune game is a televised game based on the hangman game principle, but on several words. The players must find a sentence by proposing letters composing it.

- How to solve a Wheel of Fortune puzzle?

dCode uses its hangman solver to find the words, putting aside whose containing already called letters.

To list the answers, enter the known and unknown letters in each word, an empty box/wildcard is written - or ? .

Example: W-EE- OF FO---NE

The software ignores majority of proper nouns (avoid person/people/names themes, prefer phrases/things/food/drink/etc. ).

The solver allows to cheat at wheel of fortune (or variants as chance wheel, etc.) but can also be used to improve yourself (not only game cheats), the answers to the phrases of the wheel of fortune are all listed but there is only one right answer.

- How to know the best letter to play?

dCode can calculate all the solutions and indicate the most probable letter (the one that is found most often among all the possible answers).

- How to handle composed words with hyphens?

The hyphen is a wildcard, it cannot be used in compound words. Search for the 2 words by removing the dash and replace it by a space.

Example: COMPUTER-AIDED can be found by COMPUTER and AIDED

Apostrophes are ignored, replace them with a space.

- Who were presentators of the TV show?

Most known hosts were Chuck Woolery, Pat Sajak, Rolf Benirschke and Bob Goen, with hostesses: Susan Stafford or Vanna White.

In the U.S., the show is now narrated by Jim Thornton since 2011.

## Source code

dCode retains ownership of the "Wheel of Fortune" source code. Except explicit open source licence (indicated Creative Commons / free), the "Wheel of Fortune" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Wheel of Fortune" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Wheel of Fortune" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app! Reminder : dCode is free to use.

The copy-paste of the page "Wheel of Fortune" or any of its results, is allowed (even for commercial purposes) as long as you cite dCode! Exporting results as a .csv or .txt file is free by clicking on the export icon Cite as source (bibliography): Wheel of Fortune on dCode.fr [online website], retrieved on 2024-02-17, https://www.dcode.fr/wheel-of-fortune-solver

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## The Wheel of Choice

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Focusing on solutions is a primary theme of Positive Discipline, and kids are great at focusing on solutions when they are taught the skills and are allowed to practice them.

The wheel of choice provides a fun and exciting way to involve kids in learning and practicing problem-solving skills, especially when they are involved in creating it.

Make sure your child takes the primary lead in creating his or her wheel of choice. The less you do, the better. Your child can be creative and decide if he or she would like to draw pictures or symbols to represent solutions, or to find pictures on the Internet. Then let your child choose (within reason) where to hang his or her wheel of choice.

Older kids may not want to create a wheel, but could benefit from brainstorming ideas for focusing on solutions and writing them down on an easily accessible list. It is helpful when you have other options for finding solutions, such as family meetings. Then you can offer a choice: “What would help you the most right now—your wheel of choice or putting this problem on the family meeting agenda?”

Helping your child create a wheel of choice increases his or her sense of capability and self-regulation. From Mary’s story you will gain a sense of why it is best to have your kids make their own wheel of choice from scratch instead of using a template.

## Success Story

The following Wheel of Choice was created by 3-year-old Jake with the help of his mom, Laura Beth. Jake chose the clip art he wanted to represent some choices. His Mom, shared the following success story.

Jake used his Wheel of Choice today. Jake and his sister (17 months old) were sitting on the sofa sharing a book. His sister, took the book and Jake immediately flipped his lid. He yelled at her, grabbed the book, made her cry. She grabbed it back and I slowly walked in. I asked Jake if he’d like to use his Wheel Of Choice to help—and he actually said YES! He chose to “share his toys.” He got his sister her own book that was more appropriate for her and she gladly gave him his book back. They sat there for a while and then traded!

by Mary Tamborski , co-author of Positive Discipline Parenting Tools

It was such fun creating a wheel of choice with my son Reid when he was 7 years old. We purchased a few supplies in advance: poster board, stickers, scented markers, scissors, and colored paper. None of these materials are required, but I knew it would make it more fun.

It turned out to be even more of an advantage than I thought because his 3-year-old brother, Parker, wanted to be involved too. He had fun making his own wheel of choice (even though he didn’t really under- stand it). This was a great distraction for Reid’s little brother, who felt like he was involved in the process.

I started by asking Reid, “What are some of the things you do or can do when you are having a challenge?”

I was really impressed with how easy it was for Reid to come up with so many solutions. He had already been using many of these skills, so he created his list very quickly.

- Walk away or go to a different room.
- Take deep breaths.
- Put it on the family meeting agenda.
- Use a different tone.
- Ask Mom or Dad for help.
- Count to ten to cool off.
- Hit the “reset button” and try again.

He had fun writing them all on his pie graph. The scented pens added to his enthusiasm. He wanted to “practice” writing them on a piece of scratch paper before he officially drew them on his poster board.

I loved how he handled it when he misspelled a word or when his circle wasn’t even. He just crossed out the word and rewrote it. I was tempted to give my two cents and step in to fix it for him, but I remembered how important it was for him to do it by himself. I could see the pride in his grin and his little happy dance movement in his chair. I was relieved when Reid patiently allowed his little brother to be involved by adding stickers to his finished project.

Reid was so proud when he held up his wheel of choice. Even Parker was proud. They were both posing for a photo, and Reid even wanted me to take a video as he described it.

About two hours later he had his first challenge: his older brother, Greyson, was saying, “Reid smells like a fart.” Then he started mimicking everything Reid said.

Reid came to me and said, “Greyson keeps bugging me.”

I said, “You’re having a challenging moment. Would it help you to go to your wheel of choice to choose something you could do?”

He went to his wheel of choice, looked at it, and did his own little process of elimination. He said, “I’ve already walked away and he keeps following me.

I’m asking you for help.”

I asked, “What else could you try?”

Reid started taking deep breaths. Then he said, “I’m going to try asking him in a calm voice to please stop, and lie on the bed while you read us a book.”

Before I could even fully process this magical moment, all three boys were lying next to me while we read a book.

One of the most valuable lessons I learned was that he had the tools and skills to solve his problems on his own. Knowing that he had his wheel of choice reminded me to not get involved in solving the problem. After all, getting me involved wasn’t one of his “solutions.” (Yes, asking me for help was one of his solutions, and I used my judgment to know he could find something that didn’t involve me. If he had been in physical danger I would have helped.)

Click Here to view the Wheel of Choice from a program created by Lynn Lott and Jane Nelsen (illustrations by Paula Gray).

Click Here to get a more complete description and to order your own Wheel of Choice: A Problem Solving Program . It includes 14 lessons to teach the skills for using the Wheel of Choice.

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## Online Learning

Positive Discipline offers online learning options for parents, teachers, and parent educators. Learn in the comfort of your own home and at your own pace. You have unlimited access to our online streaming programs, so you can watch and re-watch the videos as often as you like.

## 71+ Free Social Problem-Solving Scenarios

Do you have kiddos who struggle with their social problem-solving skills? Teach your students the simple process of how to solve a problem along with having them review how well their solution worked or didn’t work.

Learning to problem solve is an essential skill that is used not only throughout childhood but also into adulthood. Social problem solving is the ability to change or adapt to undesirable situations that arise throughout our day. On a daily basis, a child will encounter social problems that they will need to solve. Anything from arguing with another student, to hurting a friend’s feelings, to having a difficult conversation, or working with others.

## Start with Small Problems

Many of the “problems” children encounter are often small problems which the child may be over-reacting to, such as wanting a different coloring crayon or wanting to be first in line, however, these small problems are still very real to the child. Practicing problem-solving with these small problems can be a great learning opportunity. Children can practice problem-solving with a small problem which can help them learn how to handle bigger problems in the future.

## Problem Solving Importance

Social problem-solving skills are critical to a child’s social interactions, personal and professional relationships. A child’s ability to handle change, cope with stress, and handle challenges improves with a child’s ability to successfully solve social problems.

The ultimate goal is that the child will be able to solve social problems all on their own, but until they can independently solve a problem they will need to learn how to communicate and self-advocate to positively solve their problems.

## Students with Autism Problem Solving

Students with autism and other social challenges need to learn to problem solve as well. These social problem-solving skills will help them throughout their childhood and into their adulthood. Children can be taught how to problem solve through a guided process of breaking down the problem and using simple steps to solve the problem. Learning specific steps to problem-solving can allow children to remember how to solve a problem when they become overwhelmed or stressed. Although learning to solve a problem independently can take some time and practice it is well worth the investment to have a child who can eventually solve most social situations in a positive manner on their own.

## Make Problem Solving Easier with this Freebie!

Download yours today to get started.

## Problem Solving Form

Teach your students the 4 steps to becoming a social problem-solver.

- Identify the problem. For instance, start by having your student identify the social problem.
- Create three solutions. Also, have your student come up with three different solutions that they could use to solve the problem that they identified.
- Identify the consequences. Then, identify the consequence for each individual solution.
- Pick the best solution. Lastly, have your student identify which of their three solutions is the best choice Then have your student put into words why they think that solution is the best solution.

What we learnt about solving problems is don't freak out, if one thing doesn't work , try something else out. And work together as a team. #melthammathsweek #MELTHAMPUPILVOICE @problemsolveit pic.twitter.com/iVm1Im4Aue — yr6melthamce (@yr6melthamce) February 4, 2019

## Problem Solving Review Form

After your students go through the social problem-solver have them use the social problem-solving review form.

- What happened. For instance, after your student tried their solution have them explain what happened next.
- Review the results. Also, have your student identify whether or not their solution got them the results they wanted.
- Use this solution again. Furthermore, have your student identify whether or not they would use this solution again in the future to solve the same or similar problem.
- What would you do differently? Finally, have your student explain what they would do differently if they didn’t get the results they wanted or if they wouldn’t use that solution again in the future.

## 71+ Social Problem Scenarios + 6 Blank Scenarios

Use the 71 social problem-solving scenarios to have your students get great experience practicing how to solve a social problem. Also, included are 6 blank scenarios. Then laminate them so you can use them over and over again. Therefore, create social problems that the student experiences and needs help solving.

## Wordless Video teaching Problem Solving

Watch this super cute wordless animation with your students and have them discuss the problem they see and how to best solve the problem.

Use this as a fun practice example to get your students started towards learning how to problem-solve.

## Demonstrate Through Modeling

- Model and discuss empathy. First and foremost, children need to understand how another person might be feeling in a given situation in order to become a good social problem solver. The student needs to learn how to “stand in someone else’s shoes” for a little bit. One way you can work on this skill is during the reading time you can focus on how a particular character in the story might be feeling. Ask questions, such as, “How do they feel right now? How would you feel in that same situation? Why do you think they feel that way?”, etc.
- Model problem-solving skills as the teacher. When you are faced with a problem you can solve the problem by thinking aloud for the students to hear how you solve a problem. You can state the problem, then come up with possible solutions, then identify the possible consequences to each solution, then pick and explain why a solution is the best option. For example, you could say, “I was hoping to take the class outside for a stress walk around the track before the reading test, but the problem is that it is raining outside. I could still take you outside, but then you will get wet, or we could walk the halls, but then we’d have to be really quiet because there are other classes learning, or we could just skip the walk and take the reading test, but then you might not do as well on the test. I think based on all of those solutions the best solution will be to walk the hallway, but you guys will have to promise to be quiet so that we don’t disrupt other classes. Modeling the problem-solving process can be very helpful for the students to watch, observe, and later implement themselves.

## Teach Communication

- Have students communicate how they are feeling . Teaching your students to share their emotions in a respectful way can improve their ability to problem-solve. Have students use an “I” sentence frame, such as, “I feel _____ (insert feeling word) when _____ (identify what made you feel that way).” For example, “I felt sad when Jackson broke my favorite pencil” or “I was mad when I wasn’t picked to be first in line. “This way students can communicate how they are feeling using honest and open communication. Teaching students to appropriately communicate their emotions can help solve some social problems from the beginning.

## Encourage Independency

- Encourage your student to problem solve. If your student is struggling to problem solve independently encourage them to do so using open-ended questions, such as “How could you fix this problem?” “What would be a fair solution?” “What would happen if you used that solution?”, etc.
- Let the student try to problem solve independently. Give your students the space to try and solve their own problems using the guided strategies. Try not to come running to their rescue for every little problem. Some problems are small and a great opportunity for the student to learn and practice. If an adult does all of the problem solving for a student then what are they really learning. Give your students the time and space they need to practice solving small problems on their own. Of course, if it is a bigger or more serious problem then have an adult help guide the problem-solving process.
- Tell an adult. Remind your students that there are still some problems that are too big for them to solve on their own and that it is okay to get help from an adult to solve big problems. For example, if the student doesn’t feel safe, someone is being hurt physically or emotionally, or if they tried to solve a problem independently but it didn’t work and they need help. Let them know that it’s okay to tell an adult.

## Teach How to Disagree and How to Make Up

- Discuss how to disagree respectfully. Remind your student that they won’t always agree with their teacher, friends, classmate, or parents and that’s okay. Even the people we like might have different opinions, interests, and likes than we do. However, even if we disagree with someone we should still treat them with respect. Treating someone with respect means to not call them names, ignore them, yell or hit them. It means that you do try to create solutions that both parties can agree with and to apologize when we hurt others’ feelings.
- Role-play how to make up. Practice in everyday life how to make up after a social problem .

Get your free social problem solver today!

I hope you and your students love this freebie!

Students are really having to stretch their brains today. It's @NSPCC #NumberDay and @problemsolveit are challenging Y9 and 10 to solve the escape room boxes. It's not as easy as it looks! The promise of a few sweet treats for the winners seems to be helping though! pic.twitter.com/AxRRJnJIv2 — CongletonHS (@CongletonHS) February 2, 2018

Have your students use task card scenarios to help them identify how they and others might feel in different social scenarios. Be sure to discuss the problem, identify possible solutions, identify the consequences of those possible solutions, and then based on those consequences pick the best solution. Make social problem-solving a game by telling the students that they are social detectives and that it is their job to use what they know about social rules to help them identify the possible and best solutions. Start practicing today with 71+ free social problem social task cards! Do your students need more practice? Be sure to check out my other freebie for 31 wordless animated videos to teach problem-solving and so much more.

## Get More Problem Solving Time Saving Materials

Next, be sure to check out the following time-saving materials to continue to teach your students how to solve their social problems in addition to this freebie.

## Weekly Social Pragmatics Homework

- Weekly problem-solving. Send home a weekly homework page that includes a problem-solving scenario plus an idiom and a conversational practice scenario.

## Restorative Justice Problem Solving Flip Book

- Restorative justice graphic visual. Use this graphic visual to help your student restore a social relationship after a social problem.

## Self-Advocating Role-Play Scenarios

- Self-advocating in high school. Teach your high schoolers the process to self-advocate for what they need.

## 5th-12th Grade Life Skills Problem Solving

- Life skills problem-solving. In addition, this life skills differentiated bundle includes a problem-solving lesson plan.

I recommend you read Problem Solving Wheel: Help Kids Solve Their Own Problems , 61+ Free Fillable SLP Planner Pages 2020-2021 , 430+ Free Multisyllabic Words List Activity Bundle , or 432+ Free IEP Goal Bank to Save You Time posts because they include freebies as well and who doesn’t want more freebies!

Got questions? Leave a comment. Let’s chat!

Monday 30th of January 2023

Hello! I have entered my name and email twice (yesterday & today) to receive to 71+ Free Social Problem-Solving Senarios, but I have not received anything yet. Not even an email back to mine in order to subcribe. Thanks for your help! Tracy

Melissa Berg

Tuesday 31st of January 2023

Hi Tracy, Thanks so much for reaching out! Sorry about that. We went ahead and sent you an email with the PDF attached. Wishing you all my best, Melissa

Problem Solving Skills

Tuesday 30th of August 2022

I truly love your site. Excellent colors, theme and writing. Thanks for sharing.

Laura Ricca

Monday 11th of April 2022

Tuesday 12th of April 2022

Hi Laura, I'm glad you found this resource helpful. Melissa

Modified Mental Health and Suicide Prevention - Speech Therapy Store

Monday 11th of May 2020

[…] 71+ FREE SOCIAL PROBLEM-SOLVING SCENARIOS […]

Problem Solving Wheel: Help Kids Solve Their Own Problems - Speech Therapy Store

Monday 4th of May 2020

[…] 71+ Free Social Problem Solving Task Cards Scenarios […]

- Kelso Recommends – The Digital Library

## What People Are Saying

Kelso’s Choices has impacted my school site tremendously. The program is engaging and easy to implement.

I highly recommend this program for anyone who works with children.

The students and their teachers love the problem solving skills Kelso teaches them.

We use a non threatening frog puppet to teach children how to solve problems in a peaceful way. Communities need to work together to promote a healthy, nonviolent environment for children from infancy through the teenage years. Teachers who participated in the Kelso’s Choice program during its first year reported a significant decrease in physical conflicts and tattling.

## About Kelso

Welcome to the home of Kelso’s Choice, the leading tool for teaching conflict management skills for children Pre-K through 5th grade. Home of the beloved choice wheel, this conflict resolution curriculum teaches children the difference between big problems and little problems. Kelso the frog is a fun and engaging way for children to learn conflict management.

Looking for our best-selling conflict resolution posters, counseling board games, award-winning conflict management curriculum and much more? Click here to see our Products page.

Looking to learn about the history of Kelso’s Choice? Click here . Want to download your free conflict resolution wheel? Click here for your free starter kit.

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## See Sample Lessons

Click Here to view a sample lesson of our best-selling Conflict Management Curriculum.

Click Here to view a sample lesson from our Character Education Curriculum

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## Privacy Overview

## Math Wheels for Note-taking?

Problem solving math wheels.

Problem solving in math, or tackling word problems in math can be challenging for students, whether they’re in early elementary, upper elementary, middle school, or even high school!

Especially if they don’t have any type of strategies to help them know where to start.

I’m not necessarily a fan of using ‘tricks’ or a specific approach every time students approach a problem.

But, there are times when students will feel very ‘stuck’ as to where to start, especially if they have trouble understanding or breaking down the actual text of the problem. They may also have difficulty in middle school if they don’t have a strong problem solving foundation.

We often see students in middle school who can understand what to do mathematically when presented with a problem situation. But some of those same students kind of freeze when that problem is presented in several sentences…. especially if there’s some extra information in there.

So, I created two different math wheels to help students with:

- Deciphering word problems
- Problem solving strategies

## Problem Solving Math Wheel #1

The first problem solving math wheel includes eight ideas students can use when breaking down a word problem and then solving:

1) Carefully read the problem

2) Identify the question, to be sure about what is being asked

3) Reread. Once students know what the problem is asking, they can reread to find pertinent information.

4) Circle key numbers. By circling key numbers students are taking the time to identify numbers they’ll use in their calculations.

This is helpful:

- for identifying numbers that may be in word form
- for identifying numbers that are NOT needed for the problem. These would not be circled and could even be crossed out.

5) Locate and box important words

- These words don’t necessarily need to be ‘operation’ words, but rather any words that help students understand what is happening in the problem

6) Evaluate, or solve the problem

7) Interpret and label

- The mathematical answer may not be the answer to the question (like when interpreting the quotient results in the answer being rounded up or down)
- Adding the unit label to the answer

8) Take time to check

- Is the answer reasonable? Does it make sense as an answer to the question?

This wheel has a word problem that you can work through with students when discussing these ideas.

## Problem Solving Math Wheel #2

The second problem solving math wheel includes some of the well-known problem solving strategies and can be used as a simple reference to remind students that these strategies exist.

These problem solving strategies include:

- Organized List
- Guess and Check
- Work Backwards
- Make a Table
- Draw a Diagram
- Write an Equation
- Look for a Pattern
- Use Logical Reasoning

This wheel would be great for a center or finished early activity, because it doesn’t require direct instruction.

- Students can color this problem solving math wheel and then add it to their binders/notebooks and use as a reference throughout the year.
- This wheel could also be used in conjunction with the Problem Solving Doodle Notes , which can be used to teach each individual strategy, as explained in this problem solving strategies blog post .

I know your students will love this engaging way to talk about and reinforce math problem solving strategies.

The opportunity to color and add some of their own creative touches will help make the strategies more memorable.

Keeping these finished notes in their math notebooks will give students a reference for the entire school year!

## read next...

## How to Teach Problem of the Week in Middle School Math

## Conquering the Fraction Division Challenge

## Using Math Anchor Charts and Bulletin Boards to Empower Students

## How to Teach 6th Graders Algebraic Expressions with Math Wheels

Welcome to Cognitive Cardio Math! I’m Ellie, a wife, mom, grandma, and dog ‘mom,’ and I’ve spent just about my whole life in school! With nearly 30 years in education, I’ve taught:

- All subject areas in 4 th and 5 th grades
- Math, ELA, and science in 6th grade (middle school)

I’ve been creating resources for teachers since 2012 and have worked in the elearning industry for about five years as well!

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- Units of measurement
- Decimal place value
- Add decimals
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- Multi-digit multiplication and division
- Divide fractions
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- Arithmetic operations
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- Negative numbers: addition and subtraction
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- Fractions, decimals, & percentages
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- Expressions, equations, & inequalities
- Numbers and operations
- Solving equations with one unknown
- Linear equations and functions
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- Data and modeling
- Volume and surface area
- Pythagorean theorem
- Transformations, congruence, and similarity
- Arithmetic properties
- Factors and multiples
- Reading and interpreting data
- Negative numbers and coordinate plane
- Ratios, rates, proportions
- Equations, expressions, and inequalities
- Exponents, radicals, and scientific notation
- Foundations
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- Quadratics: Multiplying & factoring
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- Irrational numbers
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- Right triangles & trigonometry
- Non-right triangles & trigonometry (Advanced)
- Analytic geometry
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- Rational exponents and radicals
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- Transformations of functions
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- Trigonometric functions
- Non-right triangles & trigonometry
- Trigonometric equations and identities
- Analyzing categorical data
- Displaying and comparing quantitative data
- Summarizing quantitative data
- Modeling data distributions
- Exploring bivariate numerical data
- Study design
- Probability
- Counting, permutations, and combinations
- Random variables
- Sampling distributions
- Confidence intervals
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- Two-sample inference for the difference between groups
- Inference for categorical data (chi-square tests)
- Advanced regression (inference and transforming)
- Analysis of variance (ANOVA)
- Scatterplots
- Data distributions
- Two-way tables
- Binomial probability
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- Displaying and describing quantitative data
- Inference comparing two groups or populations
- Chi-square tests for categorical data
- More on regression
- Prepare for the 2020 AP®︎ Statistics Exam
- AP®︎ Statistics Standards mappings
- Polynomials
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- Probability and combinatorics
- Limits and continuity
- Derivatives: definition and basic rules
- Derivatives: chain rule and other advanced topics
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- Differentiation: composite, implicit, and inverse functions
- Contextual applications of differentiation
- Applying derivatives to analyze functions
- Integration and accumulation of change
- Applications of integration
- AP Calculus AB solved free response questions from past exams
- AP®︎ Calculus AB Standards mappings
- Infinite sequences and series
- AP Calculus BC solved exams
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- Integrals review
- Integration techniques
- Thinking about multivariable functions
- Derivatives of multivariable functions
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- Integrating multivariable functions
- Green’s, Stokes’, and the divergence theorems
- First order differential equations
- Second order linear equations
- Laplace transform
- Vectors and spaces
- Matrix transformations
- Alternate coordinate systems (bases)

## Frequently Asked Questions about Khan Academy and Math Worksheets

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Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.

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## Wheel of Names - Free and easy to use spinner. Enter names, spin wheel to pick a random winner. Customize look and feel, save and share wheels.

- Random name picker in the classroom: pick which student will answer the next question. How to use it in the classroom
- If you are a retailer, spin the wheel to pick which loyal customer will get the monthly giveaway.
- When you give a presentation, use the wheel spinner to pick a lucky winner among the attendees who turned in the survey.
- Random name picker at work: in your daily standup meeting at work, randomize who speaks first.
- If you are overwhelmed by your to do items, put them on a wheel and spin to find which one to start with.
- If you can't agree on what to have for dinner, put the alternatives on the wheel and spin.

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It's easy: type in your entries in the textbox to the right of the wheel, then click the wheel to spin it and get a random winner. To make the wheel your own by customizing the colors, sounds, and spin time, click

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There is no functionality to determine which entry will win ahead of time. When you click the wheel, it accelerates for exactly one second, then it is set to a random rotation between 0 and 360 degrees, and finally it decelerates to a stop. The setting of a random rotation is not visible to the naked eye as it happens when the wheel is spinning quite fast.

Randomness of the wheel .

- Windows, Linux or Chromebook: press Ctrl F5 .
- Safari: press Option Command E and then Command R .
- Other browsers: press Command Shift R .
- Phone or tablet: swipe down from the top of the page.

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## A new design for quantum computers

by Delft University of Technology

Creating a quantum computer powerful enough to tackle problems we cannot solve with current computers remains a big challenge for quantum physicists. A well-functioning quantum simulator—a specific type of quantum computer—could lead to new discoveries about how the world works at the smallest scales.

Quantum scientist Natalia Chepiga from Delft University of Technology has developed a guide on how to upgrade these machines so that they can simulate even more complex quantum systems. The study is now published in Physical Review Letters .

"Creating useful quantum computers and quantum simulators is one of the most important and debated topics in quantum science today, with the potential to revolutionize society," says researcher Natalia Chepiga. Quantum simulators are a type of quantum computer. Chepiga explains, "Quantum simulators are meant to address open problems of quantum physics to push our understanding of nature further. Quantum computers will have wide applications in various areas of social life, for example, in finances, encryption, and data storage."

## Steering wheel

"A key ingredient of a useful quantum simulator is the possibility to control or manipulate it," says Chepiga. "Imagine a car without a steering wheel. It can only go forward but cannot turn. Is it useful? Only if you need to go in one particular direction; otherwise, the answer will be 'no!'. If we want to create a quantum computer that will be able to discover new physics phenomena in the near future, we need to build a 'steering wheel' to tune into what seems interesting. In my paper, I propose a protocol that creates a fully controllable quantum simulator."

The protocol is a recipe—a set of ingredients that a quantum simulator should have to be tunable. In the conventional setup of a quantum simulator, rubidium (Rb) or cesium (Cs) atoms are targeted by a single laser. As a result, these particles will take up electrons and thereby become more energetic; they become excited.

"I show that if we were to use two lasers with different frequencies or colors, thereby exciting these atoms to different states, we could tune the quantum simulators to many different settings," Chepiga explains.

The protocol offers an additional dimension of what can be simulated. "Imagine that you have only seen a cube as a sketch on a flat piece of paper, but now you get a real 3D cube that you can touch, rotate, and explore in different ways," Chepiga continues. "Theoretically, we can add even more dimensions by bringing in more lasers."

## Simulating many particles

"The collective behavior of a quantum system with many particles is extremely challenging to simulate," Chepiga explains. "Beyond a few dozen particles, modeling with our usual computer or a supercomputer has to rely on approximations." When taking the interaction of more particles, temperature, and motion into account, there are simply too many calculations to perform for the computer.

Quantum simulators are composed of quantum particles, which means that the components are entangled. "Entanglement is some sort of mutual information that quantum particles share between themselves. It is an intrinsic property of the simulator and therefore allows to overcome this computational bottleneck."

Journal information: Physical Review Letters , arXiv

Provided by Delft University of Technology

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A Problem-Solving Wheel can help teach your students to learn how to independently solve a problem. A problem-solving wheel also known as the wheel of choice or solution wheel is a great way to give students a visual of choices to help them either calm down when they are upset or to help them solve a problem with a classmate.

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Creating a quantum computer powerful enough to tackle problems we cannot solve with current computers remains a big challenge for quantum physicists. A well-functioning quantum simulator—a ...