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Home > CC2 > Chapter 2 > Lesson 2.2.3

Lesson 2.1.1, lesson 2.1.2, lesson 2.2.1, lesson 2.2.2, lesson 2.2.3, lesson 2.2.4, lesson 2.2.5, lesson 2.2.6, lesson 2.3.1, lesson 2.3.2.

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Meaningful Homework and CPM

I do not grade homework. I have been teaching a long time, so I have tired everything (see the list of blogs I have written about homework at the end of this post). Over the years I have graded homework for correctness and completion. In most cases I found that homework grades artificially inflated a students grades, and in some cases  brought students grades down. Most importantly, because of help from friends, tutors and parents, homework grades rarely represent what the students  actually know.

I would love for my students to engage with math outside of class time for about 20 minutes a day.  I do not want my students feeling lost, overwhelmed, or frustrated at home if they do not understand the homework.  And I want the students to feel that the homework is important because it is relevant to the work that we do in class.

I do not grade homework, but I do walk around each day to see if students had any questions on their homework (check if students are doing it).  If they do not, I have them fill out a Homework Responsibility Sheet that I keep on file.  Still, without the promise of a grade, homework completion has not been as consistent as I would like. I use the  CPM  (College Preparatory Mathematics) curriculum, and the spiraling homework is an important part of the curriculum, as the problems increase in difficulty each time they appear in the Review/Preview.  In CPM, the class lessons are a set of problems the students work through as a team in a “guided” discovery model. Then, they have a set of spiraling problems called “Review / Preview” that they do for homework. Since the homework is spiraling, it is not what the students have done in math classes before (example: 2 – 30 evens of the same exact type of problem they did in the lesson).  So, some of my students do not feel that the homework is related to classwork. Additionally, the spiraling homework can be challenging if students have forgotten how to do a concept. So over Christmas Break, I came up with a new homework system.

Instead of assigning the “Review / Preview” problems at the end of the section for homework, I assign ONE problem from the next section.

This problem is usually the very first problem we would have worked on in class the next day. Usually the first problem is not too difficult for them to do, because it is an introductory problem that reviews past skills as an introduction to a new concept. When students come in the next day, they get the ONE problem out and talk about their answers. I walk around the room to check students answers and to see if everyone is participating. Once we are finished reviewing this problem, we can jump right into the next problem in the lesson. This “jump starts” the lesson, enabling us to finish the section early. And then, the students have time to work on their “Review / Preview” in class. This way they have each other, and me, as a resource while they tackle the more challenging review problems.

My students absolutely love the new system. The work that they are doing at home is not too difficult, and connects to the work that we are doing in class. The more difficult “Review / Preview” homework is done in class where other students and I can help them. I did have some students not doing the ONE problem when I first switched over, but since it was the first problem of the lesson, they felt lost through most of class, even when their classmates tried to catch them up. This has encouraged more consistent completion of their ONE homework problem.  As I tell them, everyone usually has the time to do just ONE problem, right?

UPDATE:  We just reached the end of the chapter, and there were some important problems that we did not get to during class time, as it’s difficult for some students to finish all of the Review/Preview problems during class time.  At the end of the chapter I assign the closure problems. There usually aren’t that many closure problems and the kids are always asking for more practice.  So, I went back through the chapter and re-assigned the important problems that most students were not able to get to in addition to their closure problems.  It did not add that many problems as I was careful not to assign duplicates, especially if they were easier ones that the closure problems. Since we work on closure problems in class, I am excited to know that the kids will have done almost all of the Review / Preview, in class, for probably the first time ever. I definitely expect this to strengthen their skills!

My Past Posts About Homework:

• Homework Responsibility Binder 
• Supporting Students: Homework
• Assigning Desmos Homework
• To Grade or Not To Grade: Homework In Math Class
• I Just Can’t Grade Homework
• Differentiating Math Homework
• Homework Choice Allows Differentiation and Encourages Creativity
• The Homework Paradigm
• Homework Paradigm – Part II or Wanna Be Happy? Then don’t grade homework
• Homework Policies – MS Sunday Funday

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12 thoughts on “ meaningful homework and cpm ”.

Love this idea. We use CPM as well and struggled with having time for homework review each day. We painstakingly went through and aligned each review/preview problem to one of our learning targets and now give students weekly “choice” assignments where they pick a certain number of problems based on learning targets where they need continued practice. I love the element of student self assessment and many more students buy in to the value of their homework because they see how practing their needed learning targets translates to higher formative/summarize assessment scores which is what we base our grades on.

I assigned standards to each hw problem as well! It’s still so tough for them to find enough time to do it though. And students don’t know how to do all of the problem, so I also give them optional Delta Math per standard. It’s a learning process! If you try this and have suggestions, I’d love to hear them!

How do you have time to do the review/preview problems during class? Sounds like a great idea! Do you do all the review/preview during class? Are they responsible for doing all of them? Is there some way you check?

I am having serious problems with homework. I hate assigning it because of the massive amount of copying. Most of them don’t use homework properly and it makes me crazy. I am looking for a new plan.

Students do not get through all of them. I have them do the most difficult, newer concepts in class. Once those are finished, they move on to the problems that are more review. I have them chose the ones they feel will be most challenging. This way, everyone is working on different problems, so there really isn’t much copying. I don’t grade or check homework bc so many students just do it to get the check or the grade, not for understanding – which defeats the point. Good luck! I know it’s a struggle!

You have clearly done your homework on this topic. What stands out for me is that by assigning just one problem you encourage a sense of manageability while also cultivating a habit. One problem per day becomes an avenue for math thinking that is doable and over time recognizable as time well invested. I teach PE. When I spend 5-7 minutes stretching every day, I notice that become more flexible over time. You may well be offering your students an even greater service by creating the conditions for long term efficacy in math and perhaps other areas.

I love your stretching analogy and am going to use it with my students! Thank you!

Well said! A constant struggle for me.

Thank you! It’s a struggle for all of us. It’s hard to convince every kid to do it, even when you make it relevant.

Love this idea! Will try it and let you know how it goes. We teach blocks every other day. What are your strategies for keeping students moving forward during class. I lose 25% of them, and I sometimes I just let it go bc I want to focus on the students who are trying to get educated. Thoughts? Thanks Julie!

My students work in groups, so that helps to keep all students going. But sometimes, whole groups can get distracted. I stop their group work intermittently throughout class to have whole group discussions, then start them off again. If a group isn’t moving forward, I will just have them skip working on the problem we just summarized and start fresh on the next problem. This keeps them moving along and helps keep them motivated, as sometimes students can get quagmired on certain problems.

Since reading problem sets out of the book can get old, I try to mix up how the students are working from day to day. Most days I have at least one problem where they must work through it for a few minutes on their own, and then I have them share out with their group. Some days we do Desmos for part or all of the lesson, which they love. On days when there are only one or two large problems, I project one problem at a time on the board for everyone to see and then let them use white boards.

I’m excited to hear how this works in your classroom! Let me know how it goes. 🙂

Our district is looking to adopt CPM for next year as we are scheduled to get new curriculum. We piloted from the program and really liked it but agree that the homework was a lot and did not have the desired results for our students. As a department we have discussed your post and had a couple of questions. First, do you check in the problem that is assigned for homework on a completion basis? Second, how do the students who do not complete the assigned problem fare the next day? Do you feel that they are able to get “caught up” well enough with their group discussion. Thank you! As we are looking at the possibility of adopting this curriculum it is wonderful to hear how other people are handling similar problems in their classes (especially when they are finding success!)

Yes, I only check it for completion, not accuracy. However I do go around to make sure their problem is accurate as they are discussing it in their groups. Usually at least two kids will have an accurate answer and that helps out students who may have missed it.

If they do not complete the problem, I have them sign a Homework Responsibility Form. Students who do not do the problem usually start “doing it” as soon as they sit down so they can catch up. They continue working while the other students review their answers. They rarely have time to finish it, but they at least hear the conversation. So while not totally up to speed, they are caught up enough to move on to the next question with their team. I’ve also put a couple of these questions (like the exact homework problem) as a quiz question. That has really motivated them!

One more thing I just did is go back through the chapter and re-assign important problems that we didn’t get to when I assign their closure. There aren’t that many closure problems and the kids are always asking for more practice. I found that this is the perfect way to give them more practice, while ensuring they got to any important homework problems we did not have time to get through during class time.

Good luck with your adoption! Year 1 was the hardest as we all adjusted, but it has been worth it! I love the curriculum, I was just struggling with the homework completion. With this new method, I feel like the whole thing is falling into place! It’s magical!

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A soccer coach wants to know how many hours a week his players spend training at home. He has 20 players and he decides to ask the first 4 players to arrive at Monday's soccer practice how many hours they spend training per week. He then calculated that they spend an average of 10 hour per week. Therefore, he assumed that all the players train 10 hours per week. Is this an example of a simple random sample? 

A No, because each student did not have an equal chance of being selected. 

B Yes, because each student had an equal chance of being selected. 

C No, because he did not sample every soccer player. 

D Yes, the minimum number of students sampled need to be four for it to be a simple random sample. 

The figure shows the graph of f. 

(b) Which of the cx-values A, B, C, D, E, F and G appear to be inflection points of f? 

The diagram shows two rectangles, A and B. 

All measurements are in centimetres. 

The area of rectangle A is equal to the area of rectangle B. 

Find an expression for y in terms of w. 

George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If each person can type 60 words per minute, after one minute, the difference between twice the number of words on Bill's page and the number of words on Charlie's page is 210. How many words did Bill's page contain initially?

 Bill's page initially contained        words. 

Simplify 2sin(5x)cos(3x) - sin(2x) to one an expression containing one trigonometric function. Then graph the original function and your simplified version to verify they are identical. Enclose arguments of functions in parentheses. For example, sin(2x). 

2sin(5x)cos(3x)-sin(2x)=

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A. Two-way repeated-measures ANOVA 

B. Two-way independent ANOVA 

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10 best AI math solver tools for math problem-solving

Homework AI makes it easier for students to learn difficult subjects. Boost your assignment and exam grades with these best AI homework helpers.

• March 18, 2024

The traditional approach to learning involves acquiring knowledge through listening and observation.

However, professionally trained AI can better accommodate different learning styles and enhance comprehension by offering tailored, on-demand learning assistance, especially in challenging subjects like mathematics.

As a subject many students struggle with, having access to a reliable AI math solver is invaluable. Math AI solvers can provide students and other learners with instant homework help outside the classroom at any time when needed.

They can also help improve students’ math test scores and build their mathematical skills over time. Let’s look at some of the best math AI tools for mathematical problem-solving:

Ten best AI math solver tools

1. Mathful – Best AI math solver overall

2. HIX Tutor – Best AI math solver for rapid homework response

3. AI Math – Best AI math solver for increasing math test scores

4. HomeworkAI – Best AI math solver for 24/7 math homework help

5. GeniusTutor – Best AI math solver for high-level learning 

6. Mathway – Best AI math solver for solving algebra problems

7. Air Math – Best AI math solver for mobile uses

8. StudyMonkey – Best AI math solver for in-depth explanations 

9. Interactive Mathematics – Best AI math solver for comprehensive chat support

10. Smodin – Best AI math solver for step-by-step solutions

Mathful – Best AI math solver overall

Mathful is an AI-powered math homework solver that provides step-by-step answers to all types of math questions.

The math AI tool uses a large language model and advanced algorithms to help students improve their math grades and prepare for exams.

Mathful has proven to be one of the most accurate AI math solvers, boasting a remarkable 98% accuracy rate across various mathematical disciplines, such as calculus, algebra, and geometry.

Mathful can also help students of all levels, from elementary school to university and beyond.

Mathful can help students improve their math grades in school by enforcing core math concepts and providing detailed explanations that promote comprehension.

Students can start using Mathful for free; low-cost subscription plans are available after the initial trial. 

• Able to provide highly accurate solutions and comprehensive explanations.
• Can process text and image files.
• Able to solve a variety of question types. 
• Available to use 24/7. 
• It cannot replace a real classroom education. 

Get instant answers to Math homework questions with Mathful AI math solver >>>

HIX Tutor – Best AI math solver for rapid homework response

HIX Tutor is a powerful AI homework helper that provides comprehensive support in many subjects, such as chemistry, biology, and physics.

It also serves as a personal AI math tutor, helping students boost their math grades and overall academic success. 

To use HIX Tutor’s advanced math AI, type in a math problem or upload an image or document of the question.

The tool instantly generates a detailed explanation for each problem step, helping students understand the underlying math concepts. 

HIX Tutor’s AI math problem solver can help save users time spent struggling with complicated math assignments.

Try the AI math solver at no cost. Once you’ve reached your question limit, upgrade to an affordable monthly or annual plan.

• Delivers step-by-step solutions to math questions.
• Trained on a large math knowledge dataset. 
• Reduces time spent on math homework. 
• Requires payment after the initial trial. 
• Some students may only use the tool to get answers without learning. 

Streamline the math learning experience with HIX Tutor’s math AI solver >>>

AI Math – Best AI math solver for increasing math test scores

How you prepare for a math test can significantly impact your performance.

AI math solvers like AI Math help take the frustration out of studying by providing thorough explanations that teach students how to tackle similar math problems. 

The AI math problem solver generates answers to questions in under 10 seconds with a 99% accuracy rate.

AI Math supports over 30 languages so that students can get responses in their native language for better understanding.

Students who use AI Math to supplement their classroom education experience an increase in their math test scores of up to 35%. Starting with AI Math is free; subscriptions cost just a few dollars a month.

• Covers most branches of math, such as arithmetic and trigonometry.
• Walks students through the solution to facilitate understanding. 
• Can solve simple to complex math problems.
• Does not currently offer advanced math features. 

Choose AI Math and study for math tests in a smarter way >>>

HomeworkAI – Best AI math solver for 24/7 math homework help

Students often need help with homework outside of traditional school hours. AI math solver tools like HomeworkAI allow students to get comprehensive support round-the-clock.

Much like a personal tutor, HomeworkAI focuses on teaching students how to solve homework problems instead of simply giving answers. 

HomeworkAI can handle math problems with multiple solution methods, meaning a primary solution and possible alternative approaches.

It can also analyze textbook material with practice math questions to aid students’ studies. 

While HomeworkAI excels in helping students complete math assignments with high precision, this AI homework tool can also help students in other school subjects, such as biology, physics, chemistry, literature, and history.

Try HomeworkAI for free, or choose from a low-cost subscription plan for unlimited uses. 

• Allows students to work at their own pace at home. 
• User-friendly platform is easy to navigate. 
• It can help students excel in many subjects, including math.
• This may cause students to rely too much on online math-solving platforms. 
• Rarely, solutions may be outdated or incorrect. 

Try HomeworkAI and get instant help for your math homework >>>

5. Genius Tutor – Best AI Math Solver for High-Level Learning

Genius Tutor is a versatile AI tutor and homework helper that can help students build their math skills and gain confidence in their academic abilities.

While the AI math solver is geared toward all types of learners, it is best suited for high school and college-level students.

The AI math problem solver provides a step-by-step breakdown for math questions of all types, showing the exact process of figuring out math problems and concepts.

Genius Tutor also highlights and explains important theorems, formulas, and rules so that students know when and how to use them.

Genius Tutor not only helps students complete math homework assignments in record time but can also help them prepare for exams.

No credit card is needed to try Genius Tutor, and budget-friendly paid subscriptions are available after the free trial.

• Can help students with all mathematical disciplines.
• Provides in-depth guides that foster lifelong learning. 
• Gives instant feedback on a variety of homework questions. 
• May not provide accurate solutions to highly complex math problems. 

Genius Tutor’s AI math solver can instantly elevate your math learning experience >>>

Mathway – Best AI math solver for solving algebra problems

Algebra is a complex branch of mathematics that many students struggle with in high school and college.

Mathway offers a sophisticated AI math solver designed to solve algebra homework questions, from word problems to complex mathematical operations that form meaningful expressions.

The math solver AI tool combines an algebra calculator with a conversational chatbot. Simply type in a math problem or upload a photo and get instant step-by-step solutions. 

Mathway also offers AI-driven math problem solvers for other branches of math, such as calculus, statistics, chemistry, and physics.

• The clean interface is easy to use. 
• You can upload documents on a computer or mobile device. 
• It makes it easy to master algebraic concepts. 
• Additional features require a paid upgrade. 
• Does not always provide detailed explanations. 

Air Math – Best AI math solver for mobile uses

Nowadays, many students rely on their smartphones or other mobile devices for homework help. Air Math is a smart AI math solver app available on Apple and Android devices.

Once installed, the Air Math app allows students to snap and solve math homework questions in under three seconds.

The innovative math AI solver can solve everything from geometry questions to word problems.

The 24/7 instant solutions include step-by-step solutions to teach students how to solve the problem independently. 

If you still have problems understanding the explanations, Air Math can connect you with professional math experts worldwide at any time. 

• Free to use.
• Offers support on mobile devices.
• You can ask expert math tutors for additional assistance. 
• Students can download the Chrome Extension on the web. 
• The app may not accurately read handwritten math questions. 

StudyMonkey – Best AI math solver for in-depth explanations 

StudyMonkey is a free AI homework helper that provides academic assistance in many areas, including mathematics.

The powerful AI math solver saves students time and headaches by instantly generating solutions to complex math problems, preventing long homework sessions. 

Type in the math problem, and StudyMonkey provides an accurate answer, detailed explanation, and steps to solve the problem to make it easier to understand.

This platform also retains a history of past questions asked, allowing students to review and revisit solutions anytime, aiding in effective long-term learning. 

• Can handle math problems from first grade to expert. 
• Offers a free plan. 
• Math features are limited.
• Can not upload images or documents. 
• You must pay for a subscription to ask more than three questions daily.

Interactive Mathematics – Best AI math solver for comprehensive chat support

Many students are familiar with chatbots, making Interactive Mathematics a popular option for homework help.

The state-of-the-art AI math problem solver claims to be more accurate than ChatGPT and more powerful than a math calculator. Its speed also surpasses human math tutors. 

Using Interactive Mathematics for homework help is also very simple.

You can type in your math question or upload an image, and the tool immediately sets to work, with the added benefit of offering solutions through a chatbot-style conversation that simulates a real-time, interactive math problem-solving session.

• You can help students improve their grades.
• Chat-based real-time problem-solving
• Offers bonuses like SAT/ACT prep courses. 
• Users can only ask three questions before reaching the free question limit.

Smodin – Best AI math solver for step-by-step solutions

The Smodin Math AI Homework Solver can help if you’re struggling with math homework.

This unique tool uses machine learning and AI algorithms to efficiently solve all types of math problems, from formulas to equations.

The tool also promises high accuracy, reducing the risk of submitting incorrect answers. 

Smodin doesn’t just provide a final answer to your query. It provides both brief answers and comprehensive explanations to help you better understand the concept.

It also shows a variety of relevant web answers and links to other resources, such as YouTube videos. 

• Users must make an account to start using Smodin.
• Step-by-step solutions are highly detailed and engaging. 
• Can help students ace their math exams. 
• Free users are limited to 3 daily credits. 
• Cannot upload images or documents. 

Final thoughts

Many students struggle with math, but that doesn’t mean they must settle for bad grades. With the right AI math solver, students can confidently develop their math skills and complete assignments and exams. 

Based on our assessments, Mathful easily stands out from the pack. It is a sophisticated AI math problem solver that offers enhanced problem-solving capabilities, accurate solutions, and affordable subscription plans.

Try Mathful for free and achieve greater academic success.

Have any thoughts on this? Drop us a line below in the comments, or carry the discussion to our  Twitter  or  Facebook .

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The best AI chatbots: ChatGPT isn't the only one worth trying

Since the launch of ChatGPT , AI chatbots have been all of the rave because of their ability to do such a wide range of tasks which can help you with both your personal and work life. At your command, AI chatbots can write code , compose emails, draft a report,  generate art ,  write Excel formulas for you , and much more. 

However, because ChatGPT  reached worldwide recognition , competitors were motivated to make their own versions, and, as a result, there are so many options on the market to choose from with different strengths, use cases, difficulty levels, and other nuances.

Also: The best AI image generators: Tested and reviewed

For the last year and a half, I have taken a deep dive into the world of AI, testing as many AI tools as I could get my hands on--including dozens of AI chatbots. Using my findings, as well as those of other ZDNET AI experts, I put together a list of the best AI chatbots and AI writers on the market. 

The list details everything you need to know before choosing your next AI assistant, including what it's best for, pros, cons, cost, its large language model (LLM), and more. So whether you are entirely new to AI chatbots, or have used plenty before, this list should help you discover a new chatbot you haven't used before. 

What is the best AI chatbot right now?

Thanks to its sourcing abilities, free internet access, and advanced LLM model, Microsoft Copilot is my first choice for the best AI chatbot. Keep reading to see how its features compare to others like ChatGPT, You.com, and more. 

The best AI chatbots of 2024

Microsoft copilot, best ai chatbot overall.

• Access to the internet
• Links back to sources
• Uses OpenAI's most advanced LLM
• Grounded in Bing

Copilot f eatures:  OpenAI's most advanced LLM, GPT-4 Turbo | Has access to the internet | Works like a search engine with information on current events | Free

In February last year, Microsoft unveiled a new AI-improved Bing, now known as Copilot, which runs on GPT-4  Turbo, the newest version of OpenAI's language model systems. As of May 4 of last year, Copilot moved from limited preview to open preview, meaning that now everyone can access it for free.  

Also: What is Copilot (formerly Bing Chat)? Here's everything you need to know

When I use a chatbot, I typically reach for Copilot because I found that it solved two major issues with ChatGPT, including access to current events and linking back to the sources it retrieved its answer for free. It is also the only way to access OpenAI's most advanced LLM--GPT-4 Turbo--for free. 

Copilot is free to use and offers a series of other features that make it an attractive alternative, including multi-modal inputs, image generation within the chatbot, and a standalone app. 

Best original AI chatbot

• Writing skills
• STEM knowledge
• Conversational
• Not always available
• Not connected to the internet

ChatGPT features:  Uses OpenAI's GPT-3.5 or GPT-4 (if subscribed) | Can generate text, solve math problems, and code | Impressive conversation capabilities | Free to the public right now

ChatGPT is a conversational AI chatbot  by OpenAI that can produce text for you based on any prompt you input, generating emails, essays, poems, grocery lists, letters, and much more.

In addition to writing for you, ChatGPT can chat with you about simple or complex topics such as "What are colors?" or "What is the meaning of life?" If you want other technical assistance, ChatGPT is also proficient in STEM and can write and debug code , and even solve complex math equations. 

Also:  How to use ChatGPT

ChatGPT was released November 2022, and because of its  massive success , it became the blueprint for many other chatbots to enter the scene, with many being found on the list now. Therefore, if you are interested in AI chatbots, you'll likely want to try the original that began the craze -- ChatGPT. 

The downsides of the chatbot include that it is sometimes at capacity due to its immense popularity, doesn't have access to the internet, and has a knowledge cutoff. 

I still reach for ChatGPT as, despite its limitations, it is an incredibly capable chatbot. However, when I do, I make sure that my queries do not rely on the most recent information to be accurate. For example, some good use cases to use ChatGPT for are brainstorming text or coding.

Anthrophic's Claude

Best ai chatbot for summarizing documents.

• Upload document support
• Chat controls
• Light and dark mode
• Unclear usage cap
• Knowledge cutoff

Claude features:   Powered by Claude 3 model family | Accepts document uploads | Trained with information up to early 2023 |  Free

Anthropic launched its first AI assistant, Claude, in February 2023, and in less than a year, it has secured a spot as one of the best chatbots in the space. Like the other leading competitors, Anthropic can conversationally answer prompts with anything you need assistance with, including coding, math, writing, research, and more. 

Also: 4 things Claude AI can do that ChatGPT can't

Personally, the biggest advantage of this chatbot is that it can accept document uploads to help read, analyze, and summarize uploaded files. To upload a file, all I had to do was click on the paper clip icon next to the text box and click on the document I wanted to upload. Then, I was able to conversationally ask for the help I wanted with the document, including document summaries or clarifications on specific topics found within the document. 

Also: This free tool from Anthropic helps you create better prompts for your AI chatbot

Claude is in free open beta, and, as a result, has context window and daily message limits which can vary based on demand, so if you are looking to use the chatbot regularly, upgrading to Claude Pro may be a better option, as it offers at least five times the usage limits compared to the free version for $20 a month. 

Perplexity.ai

The best ai chatbot for prompt ideation.

• Links to sources
• Access to internet
• Paid subscription required for GPT-4 access
• some irrelevant suggestions

Perplexity AI features: OpenAI GPT-3.5 and GPT-4 for subscribers | Has access to the internet and current events | Provides prompt suggestions to get chats started | Free

Perplexity AI is a free AI chatbot that is connected to the internet, provides sources, and has a very enjoyable UI. As soon as you visit the site , using the chatbot is straightforward. All you have to do is type your prompt into the "ask anything" box to get started. The first time I ever visited this chatbot, I was able to get started within seconds.

On top of the text box, the chatbot states, "Where knowledge begins," and the title could not be more fitting. 

Also: ChatGPT vs. Microsoft Copilot vs. Gemini: Which is the best AI chatbot?

As soon as you click on the textbox, it has a series of suggested prompts which are all mostly rooted in news. It also has suggested prompts underneath the box on a variety of evergreen topics. All you have to do is click on any of the suggestions to learn more about the topic and chat about it. Additionally, Perplexity provides related topic questions you can click on to keep the conversation going. 

Because of the extensive prompts it gives users to try, this is a great chatbot for taking deep dives into topics that you wouldn't have necessarily thought of before, encouraging discovery and experimentation. I personally deep dove into a couple of random topics myself, including the history of birthday cakes, and I enjoyed every second of it. 

Other perks include that there is an app for both iOS and Android, allowing you to also tinker with the chatbot while you're on the go, footnotes are provided after every answer with sources you can visit and the answers nearly always include photos and graphics. 

Best AI chatbot for businesses and marketers

• 50 different writing templates
• Copyediting features
• Plagiarism checker
• Need a subscription to try

Jasper features:  Uses different LLMs, including GPT-4 | Summarizes texts and generates paragraphs and product descriptions | Checks for plagiarism and grammar | Starts at $39 per month with an annual subscription

Jasper is a tool exclusively meant for users who are looking to incorporate an AI chatbot into their workflow because there is no free plan, and you can't access the chatbot otherwise. For example, when I tried using it myself, I was met with dead ends unless I subscribed. The least expensive option, the Creator plan, is geared towards freelancers and solo-preneurs and is $49 a month. However, if you rely on an AI chatbot to generate copy for your business, the investment may be worth it. 

Also: ChatGPT vs. Copilot: Which AI chatbot is better for you?

With Jasper, you can input a prompt for what you want to be written, and it will write it for you, just like ChatGPT would. The major difference with Jasper is that it has an extensive amount of tools to produce better copy. Jasper can check for grammar and plagiarism and write in over 50 different templates, including blog posts, Twitter threads, video scripts, and more. It also offers SEO insights and can even remember your brand voice, facilitating the creation of copy. 

Whether you are an individual, small team, or larger business looking into optimizing your workflow, before you take the plunge, you can access a trial or demo. 

Best AI chatbot that functions as a search engine

• Readily available
• Source Citing
• Some answers stronger than others
• Subscription required for GPT-4 access

You.com features: GPT-4 with subscription | Lists sources for the text it generates | Unlike most other Chatbots, uses Google sources | Free

You.com (previously known as YouChat) is an AI assistant that functions similarly to the way a search engine would. Like Google, you can enter any question, or topic you'd like to learn information on, and immediately be met with real-time web results, in addition to a conversational response.  

For example, when I asked, "Can you share some pictures of adorable dog breeds?" the chatbot provided six different web links, as well as the seven different pictures it pulled from the web, a conversational answer and related news, as seen in the photo. 

The chatbot can also provide technical assistance, with answers to anything you input, including math, coding, translating, and writing prompts. A huge pro for this chatbot is that, because it lacks popularity, you can hop on at any time and ask away.  

Chatsonic by Writesonic

Best ai chatbot for article writers.

• Variety of use cases
• Need to sign-in
• A bit of a lag

Chatsonic features:   Powered by GPT-3.5. or GPT-4 depending on subscription | Aware of current events, whereas ChatGPT is trained up to 2021 | Extensive feature suite, including voice dictation and image generation | Starts at $12 per month

Chatsonic is a dependable AI chatbot, with a function as an AI writing tool. It functions much like ChatGPT, allowing users to input prompts for assistance on a variety of tasks. However, it includes the ability to web search, generate images, and access PDF assistance, which ChatGPT lacks. 

The Writesonic platform offers tools that are specifically meant to help generate stories, including Instant Article Writer, which generates an article from a single click; Article Rewriter, which rephrases existing content; and Article Writer 5, which generates articles using ranking competitors. 

Other tools that facilitate the creation of articles include SEO Checker and Optimizer, AI Editor, Content Rephraser, Paragraph Writer, and more. There is a free version, which gets you access to some of the features; however, there is a 50 generations per day limit. The monthly cost starts at $12 per month but goes all the way up to $250 per month depending on the number of words and amount of users needed.

Gemini (formerly Google Bard)

Best ai chatbot if you're a loyal google user.

• Access to Google
• Good text editing skills
• Can't help much with code

Gemini features:  Powered by a finetuned version of Gemini Pro | Includes a "Google it" feature | Generates clear text and images quickly | Free

Gemini is Google's conversational AI chatbot that functions the most similarly to Copilot, sourcing its answers from the web, providing footnotes, and even generating images within its chatbot. Since its initial release in March 2023, the chatbot has undergone several upgrades, with the latest version being the most optimized it has ever been. 

Also: What is Google's Gemini AI tool (formerly Bard)? Everything you need to know

The highlight of this chatbot is that it is rooted in Google technology, search engines, and applications, and if you are a loyal Google user, you will feel familiar with the chatbot's UI and its offerings. For example, unlike most of the chatbots on this list, Google does not use an LLM in the GPT series but instead uses a model made by Google. 

"Gemini is slowly becoming a full Google experience thanks to Extensions folding the wide range of Google applications into Gemini," said ZDNET writer Maria Diaz when reviewing the chatbot. "Gemini users can add extensions for Google Workspace, YouTube, Google Maps, Google Flights, and Google Hotels, giving them a more personalized and extensive experience."

If you subscribe to Google's new 'AI Premium Plan,' you not only get access to the most advanced Google models in Gemini, such as Ultra 1.0, but you also get access to Gemini for Workspace, previously known as  Duet AI,  which infuses Google's AI assistance throughout its productivity apps, including Gmail, Docs, Sheets, Slides, and Meet. 

Socratic by Google

Best ai chatbot for kids and students.

• Educational
• Easy to use
• Doesn't write text
• No desktop version

Socratic features:  From Google | Type in any question to generate a response | Includes fun graphics | Supports scanning worksheets to get a specially curated answer | Free

If you want your child to also take advantage of AI to lighten their workload, but still have some limits, Socratic is for you. With Socratic, children can type in any question they may have about what they are learning in school, and Socratic will generate a conversational, human-like response with fun, unique graphics to help break down the concept. 

"It's a powerful studying tool that could help students double-check their homework, or get across the last hurdle if a question or formula just isn't making sense. And using the app is as easy as using  Snapchat  or talking to Siri," said former ZDNET contributor Jason Cipriani, when reviewing the app. 

The app, available on the App Store and the Google App Store, also has a feature that lets your kid scan their worksheet to get a specially curated answer. The app does have some limitations; for example, it will not just write an essay or story when prompted. However, this could be a positive thing because it curbs your child's temptation to get a chatbot, like ChatGPT, to write their essay for them. 

HuggingChat

Best open-source chatbot.

• Cutomizable
• Intermediate/advanced skills requires
• Required to create an account

Socratic features:  Clean, Chat-GPT inspired interface | entirely customizable | great for developers or AI fanatics | secure alternative | Free

As seen by the list above, plenty of great chatbot options are on the market. However, if you are on the search for a chatbot that serves your use case specifically, you can always build an entirely customizable new one. HuggingChat is an open-source chatbot developed by Hugging Face that can be used as a regular chatbot or customized for your needs.  

Also :  Want to build your own AI chatbot? Say hello to open-source HuggingChat

As ZDNET's David Gewirtz unpacked in his hands-on article , you may not want to depend on HuggingChat as your go-to primary chatbot. However, it is a good interface to build your own chatbot on. As Gewirtz said himself: "If you want something that you control, you can use HuggingChat to build a chatbot where you have visibility into every aspect of its functioning. You can choose to make that chatbot available online to other users and provide transparency to all users."

What is the best AI chatbot?

The best overall AI chatbot is Copilot due to its exceptional performance, versatility, and free availability. It uses OpenAI's cutting-edge GPT-4 language model, making it highly proficient in various language tasks, including writing, summarization, translation, and conversation. Moreover, it works like a search engine with information on current events.

Another advantage of Copilot is its availability to the public at no cost. Despite its immense popularity, Copilot remains free, making it an incredible resource for students, writers, and professionals who need a reliable and free AI chatbot. 

Although there are occasional capacity blocks, OpenAI is working on releasing a professional version of ChatGPT that will be quicker and always accessible at a monthly cost.

Which AI chatbot is right for you?

While Copliot is my personal favorite, your use case may be hyper-specific or have certain demands. If you need a constant, reliable AI chatbot, other alternatives might be better suited for you. If you just want an AI chatbot that produces clean, reliable, business-ready copy, for example, then Jasper is for you. If you want to play around with an AI chatbot that isn't always at capacity, YouChat might be the best option. 

Lastly, if there is a child in your life, Socratic might be worth checking out. See our breakdown below:

Factors to consider when choosing a chatbot

Since there are so many chatbots on the market, picking the right one can get confusing. Some factors to consider to help narrow down those options are: 

• Large Language Model (LLM) 
• Knowledge cutoff 
• Access to the internet 
• Linking to sources 
• Best use cases 

How did I choose these AI chatbots?

In order to curate the list of best AI chatbots and AI writers, I looked at the capabilities of each individual program including the individual uses each program would excel at. As an AI reporter, I was also sure to test each one myself. Other factors I looked at were reliability, availability, and cost. 

• Individual use case: AI chatbots have many use cases, often acting as a tool for productivity and easier workflow. I included a variety that can serve as ideation, education, and content creation tools. 
• Reliability: I kept information accuracy a priority during my testing. 
• Availability : ChatGPT is popular, but not always available. I selected alternatives that don't have a user limit and are available at all times. 
• Cost: Many of these AI programs are free, but some require monthly memberships. I included a mix of both, keeping budget-friendliness in mind. 

What is an AI chatbot?

An AI chatbot (also called AI writer) refers to a type of artificial intelligence-powered program that is capable of generating written content from a user's input prompt. AI chatbots are capable of writing anything from a rap song to an essay upon a user's request. The extent of what each chatbot is specifically able to write about depends on its individual capabilities including whether it is connected to a search engine or not. 

How do AI chatbots work?

AI chatbots use language models to train the AI to produce human-like responses. Some are connected to the web and that is how they have up-to-date information, while others depend solely on the information they are trained with. 

How much do AI chatbots cost?

AI chatbot programs vary in cost with some being entirely free and others costing as much as $600 a month. Many like ChatGPT, Copilot, Gemini and YouChat are entirely free to use. 

What is the difference between an AI chatbot and an AI writer?

The main difference between an AI chatbot and an AI writer is the type of output they generate and their primary function.

In the past, an AI writer was used specifically to generate written content, such as articles, stories, or poetry, based on a given prompt or input. An AI writer's output is in the form of written text that mimics human-like language and structure. On the other hand, an AI chatbot is designed to conduct real-time conversations with users in text or voice-based interactions. The primary function of an AI chatbot is to answer questions, provide recommendations, or even perform simple tasks, and its output is in the form of text-based conversations.

While the terms AI chatbot and AI writer are now used interchangeably by some, the original distinction was that an AI writer was used for generating written content, while an AI chatbot was used for conversational purposes. However, with the introduction of more advanced AI technology, such as ChatGPT, the line between the two has become increasingly blurred. Some AI chatbots are now capable of generating text-based responses that mimic human-like language and structure, similar to an AI writer.

Read more about the best tools for your business and the right tools when building your business !

Artificial Intelligence

This free tool from anthropic helps you create better prompts for your ai chatbot, 3 ways to accelerate generative ai implementation and optimization, what is ai everything to know about artificial intelligence.

Will I ever need math? A mathematician explains how math is everywhere – from soap bubbles to Pixar movies

Curious Kids is a series for children of all ages. If you have a question you’d like an expert to answer, send it to [email protected] .

Will I ever need math besides for school or work? – Hadassah G., age 9, New Jersey

It can be easy to think that you need math only to do your algebra or geometry homework or if you have a job as an engineer. But, in fact, math pops up everywhere – even in the soap bubbles in your kitchen sink.

While washing dishes when I was 13, I noticed that the soap bubbles formed tiny 3D polygons, packed together like a honeycomb, but not all of these shapes were perfectly round. Why did some of the bubbles look like hexagons? Why were others shaped like squares full of air? Why didn’t I see any star-shaped bubbles, or bubbles with spikes?

When I learned that math could help answer these questions, I thought that was so cool! Now, as a professor of mathematics who studies how people learn math through play , I understand why bubbles are naturally lazy . I even studied the math behind the reason I saw only some shapes in soapy dishwater.

Besides helping explain the behavior of bubbles and other curiosities of nature, math is likely part of many of your everyday activities, along with the technology you enjoy and even the inner workings of your brain. Doing math isn’t just about computing, memorizing, solving an equation or doing word problems by yourself. It’s really about creative problem-solving and logical thinking with other people.

Math in everyday life

Many topics you learn in elementary school – like fractions, percentages and measurements – are useful in everyday life.

For example, if you want to build a fence around your house, paint your walls a new color or with a design , or sew yourself a new outfit or quilt , all of those activities require knowledge about measurement and scaling. More complicated construction projects, such as building a treehouse , require lots of mathematical problem-solving skills.

Once you’ve laid out the plans for one of these projects, you need to buy all the materials. Percentages – which are special kinds of fractions – are especially important to understand when managing money. Understanding percentages can help you budget your money and increase your net worth .

Beyond budgeting, you might find yourself using percentages when cooking a double batch of brownies, determining how much medicine to take when you’re sick or understanding the weather forecast .

Your favorite technology needs math

Math is an essential tool that animators use to make movies.

Studios like Pixar rely on ideas from geometry to bring characters like Ember from “Elemental” to life. With an understanding of geometric transformations like reflections, rotations and translations, you can use your computer to make your own animations.

Coordinate systems, which are fundamental to geometry, show up in video games like Minecraft. The 2D Minecraft world uses a 2D coordinate system – with an x-axis and a y-axis – where you can move north, south, east or west. In the 3D Minecraft world, there’s also a z-axis, allowing you to move up and down. Middle and high school teachers can even use Minecraft to help students learn math concepts.

Many high-paying jobs use math , especially probability – again, fractions. Understanding probability helps doctors identify how effective medical treatments are, informs coaches about ways their teams can improve and aids cryptographers in keeping private information – like your email password or ATM PIN – secret. Cryptography combines probability with number theory to create secret codes that are difficult to crack.

Math helps your brain

Math can have a big impact on your internal life, too. You can use math activities to train your brain the same way you would train your body for a sport. Doing math helps your brain become flexible so you can better handle new tasks and ideas of all kinds.

Even doing things that don’t look like your math homework, such as crossword puzzles, word searches and board games like Set and Blokus , are deeply mathematical activities that help your brain get stronger . This kind of mental training helps the brain pay attention and solve problems and improves memory. A strong working memory supports brain functions that lower the risk of Alzheimer’s disease and dementia .

Having a stronger, more flexible brain also aids quantitative literacy , which can help you make sense of graphs that appear in the media, reflect critically about news and understand health and financial information.

Math can even help you outsmart artificial intelligence . With the rise of AI, it’s important to be able to think creatively, reason logically and make connections between concepts – whether mathematical or not. Puzzling through a difficult math problem nurtures these skills, even if you don’t get the right answer right away.

It’s important to remember that doing math doesn’t require you to be fast or to get the correct answer right away. In fact, you can learn a lot by getting the wrong answer . Working with other people can also help you to make sure you really understand the problem and builds communication and teamwork skills .

Math is so much more than memorizing times tables and filling out homework problem sets. So next time you kick back to watch your favorite animated movie, or start saving up for a fancy new tech gadget, hopefully you’ll appreciate how math is woven into so many parts of life.

Hello, curious kids! Do you have a question you’d like an expert to answer? Ask an adult to send your question to [email protected] . Please tell us your name, age and the city where you live.

And since curiosity has no age limit – adults, let us know what you’re wondering, too. We won’t be able to answer every question, but we will do our best.

This article is republished from The Conversation , a nonprofit news site dedicated to sharing ideas from academic experts.

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Hortensia Soto does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their academic appointment.

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Instant answers at your fingertips! Simplify homework with AI-powered assistance. Share solutions seamlessly. Download now! Struggling with homework? Say hello to your new study buddy – AI Homework Helper! Our app utilizes cutting-edge AI technology to provide instant answers to your questions, saving you valuable time and effort. Features: Instant Answers: Simply take or scan a photo of your homework question, or type it in, and our AI-powered assistant will provide you with the solution in seconds. Comprehensive Resources: Alongside answers, access a treasure trove of educational resources curated by our AI to deepen your understanding of the topic. Ask Anything: Stuck on a concept? No problem. Type in your question, and our AI will guide you through it step by step. History and Solutions: Keep track of all your questions and solutions in one place for easy reference whenever you need them. Share Answers: Found a particularly tricky question? Share the answer directly from the app to help out your friends or classmates. Share as PDF: Easily share answers and solutions in PDF format with friends, classmates, or teachers for collaborative learning. PRO Version: - Unlock unlimited instant solutions and full access to resources with our pro version. - Payment will be charged to your iTunes account at confirmation of purchase. Subscriptions automatically renew unless auto-renew is turned off 24-hours before the end of the current period. Accounts will be charged for renewal within 24 hours of the end of the current period, and a renewal fee will be provided. The unused portion of a free trial period, if offered, will be forfeited when the user purchases a subscription to that product. - Please note that a subscription is required for the complete functionality of the app. Privacy: https://sites.google.com/view/kttechapps-privacy/home Terms: https://sites.google.com/view/kttechapps-terms/home Whether you're tackling math problems, deciphering complex equations, or unraveling the mysteries of literature, AI Homework Helper is your go-to companion for academic success. Download now and let AI Homework Helper lighten your homework load!

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