# Homework Exercises - Mathematics

Homework Exercises - Mathematics

## Free Printable Math Worksheets for Grade 4

This is a comprehensive collection of free printable math worksheets for grade 4, organized by topics such as addition, subtraction, mental math, place value, multiplication, division, long division, factors, measurement, fractions, and decimals. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any fourth grade math program, but go especially well with IXL's 4th grade math curriculum, and their brand new lessons at the bottom of the page.

The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5).

You can print them directly from your browser window, but first check how it looks like in the "Print Preview". If the worksheet does not fit the page, adjust the margins, header, and footer in the Page Setup settings of your browser. Another option is to adjust the "scale" to 95% or 90% in the Print Preview. Some browsers and printers have "Print to fit" option, which will automatically scale the worksheet to fit the printable area.

All worksheets come with an answer key placed on the 2nd page of the file.

• Complete the next whole hundred (missing addend)
• Missing addend with whole hundreds (print in landscape)
• Completing a whole thousand (missing addend) (print in landscape)
• Missing addend problems 1: easy
• Missing addend problems 2: a 3-digit number and a 1-digit number
• Missing addend problems 3: involves one 3-digit number
• Missing addend problems 4: 2-digit numbers

### Mental subtraction

• Subtract 2-digit numbers within 100
• Subtract a 2-digit number from whole hundreds
• Subtract whole tens within 1000 - easier
• Subtract whole tens within 1000 - more difficult
• Subtract whole hundreds 1
• Subtract whole hundreds 2
• Missing minuend / subtrahend with 2-digit numbers
• Missing minuend / subtrahend with whole tens
• Missing minuend / subtrahend - single-digit numbers, whole tens, or whole hundreds
• Missing minuend / subtrahend&mdasha challenge
• Subtract any number from 1000
• Subtract any number from any whole thousand

### Place value/Rounding

• Build a four-digit number from the parts (print in landscape)
• Find the missing place value from a 4-digit number (print in landscape)
• Build a 5-digit number from parts (print in landscape)
• Find the missing place value from a 5-digit number
• Build a 6-digit number from parts
• Find the missing place value from a 6-digit number
• Mixed rounding problems 3 - as above but rounding to the underlined digit
• Mixed rounding problems 4 - round to the nearest 10, 100, 1000, or 10,000 within 1,000,000
• Mixed rounding problems 5 - round to any place value within 1,000,000

### Roman numerals

These are completely optional, as Roman Numerals are not included in the Common Core standards.

### Mental multiplication

• Multiplication tables 2-10, random facts
• Multiplication tables 2-12, random facts
• Multiplication tables 2-10, missing factor
• Multiplication tables 2-12, missing factor
• Multiply a single-digit number by whole tens
• Multiply a single-digit number by whole hundreds
• Multiply a single-digit number by whole tens or whole hundreds
• Multiply single-digit numbers, whole tens, or whole hundreds by the same
• As above, but missing factor
• The same as above, but also including whole thousands
• As above, missing factor
• Multiply in parts 1: single-digit number by a 2-digit number
• Multiply in parts 2: single-digit number by a number near a whole hundred
• Multiply in parts 3: single-digit number by a 3-digit number
&mdash three operations
&mdash four operations

### Mental division

• Division facts practice (tables 1-10)
• Division facts practice (tables 1-12)
• Missing dividend or divisor (basic facts)
• Divide by 10 or 100
• Divide by whole tens or hundreds
• Divide whole tens and whole hundreds by 1-digit numbers mentally
• Division with remainder within 1-100, based on basic facts
• Division with remainder within 1-100
• Division with remainder, divisor a whole ten
• Division with remainder, divisor a whole hundred
• Order of operations: add, subtract, multiply, divide, and parenthesis &mdash three operations
• Order of operations: add, subtract, multiply, divide, and parenthesis &mdash four operations
• Order of operations: add, subtract, multiply, divide, and parenthesis &mdash five operations

### Measuring units

The following worksheets are slightly beyond Common Core Standards for 4th grade, and are optional.

(for example, 34 mm = ___ cm ____ mm)
• Convert between centimeters & meters (for example, 2 m 65 cm = _____ cm)
• Mixed practice of the two above (millimeters, centimeters, and meters)
• Convert between meters and kilometers (for example, 2,584 m = ____ km _____ m)
• Mixed practice of the ones above (mm, cm, m, and km)
• Convert between milliliters and liters (for example, 2,584 ml = ____ L _____ ml)
• Convert between grams and kilograms (for example, 5 kg 600 g = ________ g)
• Mixed practice of the two above: ml & l and g & kg
• All metric units mentioned above - mixed practice
• Convert between inches and feet (e.g. 35 in. = ___ ft ___ in.)
• Convert whole miles & feet or yards
• Convert between ounces & pounds (e.g. 62 oz = ___ lb ___ oz)
• Convert between cups, pints, quarts, and gallons
• All customary units mentioned above - mixed practice

### Fractions

• Subtract like fractions (denominators 2-12)
• Subtract like fractions (denominators 2-25) (optional beyond the CCS)
• Subtract a fraction from a whole number
• Subtract a fraction from a mixed number
• How much was subtracted from a whole number
• Subtract mixed numbers (like denominators)
• Subtract a fraction with tenths and another with hundredths (such as 2/10 + 6/100)

Fractions to mixed numbers or vv.

### Decimals

• Subtract mentally (1 decimal digit) &mdasheasy
• Subtract mentally (1 decimal digit) &mdashmedium
• Subtract mentally (1 decimal digit) —missing minuend/subtrahend
• One number has 1 decimal digit, the other has 2
• The numbers may have one or two decimal digits - challenge
(subtract in columns)

If you wish to have more control on the options such as number of problems or font size or spacing of problems, or range of numbers, just click on these links to use the worksheet generators yourself:

## Homework Exercises - Mathematics

We feature over 2,000 free math printables that range in skill from grades K-12. Many teachers are looking for common core aligned math work. Please use all of our printables to make your day easier. Great for students, teachers, parents, and tutors. We feature well over 12,000 printable sheets. This includes all major subject areas, templates, teacher timesavers, and forms. For a complete teacher curriculum resource please check out our math subject center.

1. Addition - One, two, and three digit practice sheets.
2. Algebra - Equations involving addition, division, multiplication, and subtraction.
3. Area and Perimeter - Area and perimeter of a rectangle.
4. Basic Arithmetic - Over 200 Addition, Counting, Division, Multiplication, and Subtraction Sheets.
5. Counting Worksheets - Through coloring, drawing, fill ins, and money.
6. Decimals - Addition, Counting, Division, Multiplication, and Subtraction Sheets.
7. Division - One, two, and three digit practice sheets.
8. Do Now! (Grade Specific) - Over 240 warm-up worksheets. Great for starting of classes.
9. Estimation - Estimate a wide variety of variables.
10. Even And Odd Numbers - Students identify even and odd numbers.
11. Exponents - Exponent conversion and order of operations with exponents.
12. Fractions - Greatest common factors and least common multiple worksheets.
13. Geometry - Practice sheet include identifying congruent shapes and intersecting lines.
14. Graphing - Exercises in Making Bar, Line, and Pie Graphs.
15. Greater Than, Less Than, Or Equal - Comparisons of integers, decimals, visuals, and objects.
16. Grid (Graph) Paper - Printable grid paper in all sizes. A great idea is to laminate these pages.
17. Fun With Mathematics - These sheets help review the basics. Fun for all occasions.
18. In Class Labs - Students work through a range of problem solving strategies.
19. Logarithmic Equations - You find basic to advanced skills covered in this section.
20. Magic Numbers - Fun activities that display patterns in numbers. - Created by grade level and aligned to the Common Core Math Curriculum.
21. Math Worksheet Generator - Make your own arithmetic, algebra, comparison, order of operations, and rounding worksheets.
22. Mathematics Puzzles - Fun Puzzles that cover both logic and basic skills!
23. Measurement - Great sheets for learn base 10 measurements. Also includes metric - U.S. conversion.
24. Money - Counting and money word problems to help student grasp real world concepts.
25. Multiplication - This area was recently upgraded vastly. You will find times tables, facts, and too many to list.
26. Multiplication Chart - These multiplication times table charts are colorful and a great resource for teaching kids their multiplication times tables. A complete set of free printable times tables for 1 to 12 in Adobe PDF format.
27. Order Of Operations - Three levels of ordering sheets based on PEMDAS. - Students use logic to solve shape and number patterns.
28. Place Value - A wide array of place value exercises and activities.
29. Ratios and Proportions - This long awaited section was just added. We cover basics to use in word problems.
30. Reading Tables - Helps students interpret data tables. Also check the charts as well.
31. Rounding - Two, three, and four digit practice sheets. New dollar, hundreds, hundredths, tenths, thousands.
32. Statistics / Probability - Mean, Median, Mode and dice.
33. Stock Market - Learn the Stock Market with these sheets.
34. Subtraction- Your everyday this minus this equals this.
35. Surveys - Five ready-to-go survey labs that involve data collection, sorting, and graphing.
36. Telling Time - Great for learning analog clocks.
37. Tic Tac Toe Puzzles - A fun cooperative game. Featuring addition, division, multiplication, and subtraction.
38. Word Problems - Basic and intermediate level word problems.

### New - Worksheets Listed By Grade Level

We have worksheets that are specifically grade leveled for students based on math learning standards.

## Calculating Percent Increase and Decrease

Example 1: Ann works in a supermarket for $10.00 per hour. If her pay is increased to$12.00, then what is her percent increase in pay?

Analysis: When finding the percent increase, we take the absolute value of the difference and divide it by the original value. The resulting decimal is then converted to a percent.

Answer: The percent increase in Ann's pay is 20%.

Let's look at an example of percent decrease.

Example 2: The staff at a company went from 40 to 29 employees. What is the percent decrease in staff?

Analysis: When finding the percent decrease, we take the absolute value of the difference and divide it by the original value. The resulting decimal is then converted to a percent.

Answer: There was a 27.5% decrease in staff.

Percent increase and percent decrease are measures of percent change, which is the extent to which something gains or loses value. Percent changes are useful to help people understand changes in a value over time. Let's look at some more examples of percent increase and decrease.

In Example 1, we divided by 10, which was the lower number. In Example 2, we divided by 40, which was the higher number. Students often get confused by this. Remember that the procedure above asked us to divide by the original value. Another way to remember the procedure is to subtract the old value from the new value and then divide by the old value. Convert the resulting decimal to a percent. The formula is shown below.

Example 3: At a supermarket, a certain item has increased from 75 cents per pound to 81 cents per pound. What is the percent increase in the cost of the item?

Answer: There was an 8% increase in the cost of the item.

Example 4: Four feet are cut from a 12-foot board. What is the percent decrease in length?

Answer: There was a 33.3% decrease in length.

Summary: Percent increase and percent decrease are measures of percent change, which is the extent to which something gains or loses value. Percent change is useful to help people understand changes in a value over time. The formula for finding percent change is:

### Exercises

Directions: Each problem below involves percent change. Enter your answer for each exercise without the percent symbol. Round your answer to the nearest tenth of a percent when necessary. For each exercise below, click once in the ANSWER BOX, type in your answer and then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

## Problem Sets

These problem sets are based in part on earlier problem sets by Stephen DeBacker, (c) 2018 UM Math department, under a Creative Commons By-NC-SA 4.0 International License. I release these under the same license.

Homework Policy: You are welcome to consult your class notes and textbook.

You are welcome to work together with your classmates provided (1) you list all people and sources who aided you, or whom you aided and (2) you write-up the solutions independently, in your own language. If you seek help from mathematicians/math students outside the course, you should be seeking general advice, not specific solutions, and must disclose this help. I am, of course, glad to provide help!

I do not intend for you to need to consult other sources, printed or online. If you do consult such, you should be looking for better/other expositions of the material, not solutions to specific problems. Math problems are often called "exercises" note that you cannot get stronger by watching someone else exercise!

You MAY NOT post homework problems to internet fora seeking solutions. Although I know of cases where such fora are valuable, and I participate in some, I feel that they have a major tendency to be too explicit in their help. You may post questions asking for clarifications and alternate perspectives on concepts and results we have covered.

Homework formatting: In order to make our grading process efficient, please write on only one side of the page and place your problems in order. If your solution to a problem is lengthy (more than 2/3 of a page say), please don't write solutions to other problems on that page.

, due Friday September 13 , due Friday September 20 , due Friday September 27 , due Friday October 4. Note: Problems 36(d) and (e) are extended to Problem Set 5 (which will be due October 11.) , due Friday October 11.
• 🍂 🍁 No problem set due on October 18. Enjoy Fall break! 🍂 🍁 , due Friday October 25. Note: This problem set contains information about the exam.
• Exam on Wednesday October 30, no problem set due on Friday, November 1. , due Friday November 8. , due Friday November 15. , due Friday November 22.
• Our second exam is Thursday, December 5, 7-9 PM, in East Hall 3088. Here is a study guide for the exam.
• Problem set 10. This is our last problem set! In view of Thanksgiving and the exam, it will be due on Monday, December 9.

## Holiday Homework Solutions 2021-2022

Holiday Homework Solutions for class 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 & 12 (During Summer Vacations) facility for the academic session 2020–2021 is being maintained to help the students and parents to do the holiday homework comfortably in Summer 2021-22. You are requested to upload your holiday homework in PDF format based on Latest CBSE Curriculum 2021-22 and get the solutions with in a week. You can also ask your Maths or science problems through Discussion Forum. If the problems are related to NCERT or NCERT Exemplar Problems please refer to NCERT Solutions page to get this. The solutions of holiday homework should be uploaded along with the school name at the end of this page.

Notification of completion of homework will not be given by the website, you have to check yourself after a week for the solutions.

## Holiday Homework Solutions 2021-2022

### Holiday Homework Solutions 2021-22

Download NCERT Solutions for all classes. Students of the upper primary level (Class 6, 7 and 8) are already well informed and are keen to find and learn more. According to CBSE, while assigning and preparing homework for the students, it is important to note they are able to develop the skills like relating, thinking, concluding, inferring. Homework should be such that the student neither feel it burdensome nor they lose interest in the subject matter. Moreover it is useful in providing them a happy experience. Homework therefore needs to be thought about and worked upon differently. Emphasis should be given on Vedic mathematics, designing quality homework rather than its quantity. Download NCERT Books and apps based on latest CBSE Syllabus.

#### Alternatives to Holiday Homework

Encompassing the aforesaid ideas, the CBSE has brought forth a Manual, “Alternatives to Holiday Homework” for classes VI to VIII. It is collection of ideas transformed into suggestive activities that are creative, interesting, meaningful and interactive, enhancing various skills, directly or indirectly related to subject matter providing students to enhance their learning and gaining knowledge based on NCERT Books following the latest CBSE Syllabus.

### Suggestive Holiday Homework for Class 8

##### Purpose of Providing Homework

A well rounded development of individual knowledge happens not only from textbooks and formal education but more from the learner’s personal experiences, individual inquisitive nature and social surroundings. Homework is an area of importance and to make it more relevant for the NCERT Books classes 6th, 7th and 8th, appropriate strategies and meaningful activities may be suggested to the schools that give more time to child to explore the environment to develop creative thinking. These activities (like OTBA for class 9 & 11 ) would be so framed that they keep the child interested in subjects and therefore would also help in enhancing the learning power.
Homework is one of the areas that need urgent attention. As the students of class VI, VII and VIII develop a certain learning style and want to know and find more and more. Efforts should be made to make homework more creative and interesting so that the students do not feel burdensome while doing the same and the ultimate purpose of providing homework is served.

##### Quality of Holiday Homework

A survey was conducted through questionnaire prepared by CBSE to collect feedback from parents, teachers, students and other educationists on “Alternatives to Homework at Upper Primary Level” for Class Sixth, Seventh and Eighth so that appropriate strategies and meaningful activities can be designed and suggested to schools. The questions were directed to know the ideal quantity and purpose of the homework, whether homework should be assigned in all the subjects, internet usage should be a part of the homework or not, how homework helps in teaching.
Keeping in view emerging issues, there is a need to think about giving quality homework emphasizing on acquiring applied learning skills. Few points can be kept in mind while designing a quality homework by teachers:
1, Provide students capacity building activities which are followed up and acknowledged like drawing, creative writing, making puzzles, stories, plays, online games, reading online books and craft.
2. Provide them assignment sheets which improve their reading & writing abilities. Homework must enable the student to practice a skill independently.
3. A possible discussion can be held with different children on what they would like to do at home to improve in which ever area they deem necessary. Homework must be designed in a way that maximizes the chances of its completion by the students.
4. Parents should be able to understand the child’s needs and schools suggestions on how to learn mathematics, logical reasoning, etc. by doing puzzles, writing letters, reading to elders from the newspapers, making household lists, recipe making and cooking.
5. Learners who have dyslexia or number difficulty should have practice assignments overcoming their problems.

###### How should be the Holiday Homework?

The child in middle school have a keenness to discover more and prepare for the examination. Learning is about developing new faculties, which become useful as an adult. The years 12 to 15 are years when rules become important, and doing well, excelling are given importance both at home and in the class. As the child grows chronically his/her emotional maturity also grows and there are interests which are beyond just what lessons can give.
The homework assigned should:
1. enhance study habits and practice skills (which learners are able to perform independently)
2. reinforce necessary skills both scholastic and co-scholastic among the learners.
3. enable learners to become independent learners and thinkers and develop among them 21st century skills so that they can participate in Make in India in future.
4. lead to the improvement in the academic achievement of the learner.
5. expand on the existing knowledge of the learners and be a part of the already acquired competencies in the classroom.
6. not put unneeded pressure or stress by including new learning material or difficult material to be worked upon by learners themselves.
7. be CBSE Syllabus based and as per developmental needs of the learners.
8. not require specific resources or technology which is not accessible to all learners.
9. have clearly defined, purposeful, creative and engaging activities.

###### Correction & Feedback in Holiday Homework

It is also advised that teachers can refer to Life Skills Manuals, Health Manuals and Environmental Education Manuals which contain age appropriate and interesting activities which can be taken up by the learners individually. These activities can be assigned to learners so as to enhance their life skills, values and make them health conscious. Homework is needed, and necessary for a teacher to be able to follow up with each child. The correction and feedback on homework is an important input that helps both parents and children to follow up and improve in areas which are needed. The recourse extra classes, can be reduced if the homework is used for learning improvement and acquisition of diverse skills. We are providing a handful help to solve or helping in solving the holiday homework.

##### What should be the Holiday Homework for Class 1, 2, 3, 4 and 5?

The Holiday Homework 2021-22 for class 1 and Class 2 should be totally creative work only. We should prepare the homework in such a way that student enjoy the work like play. The holiday assignment for class 3, 4 and Class 5 should be totally creative work.

##### What are the Holiday Homework suggestions for Class 6, 7 and 8?

The ideas for Holiday Homework 2021-2022 for class 6, 7 and 8 Maths, Science, English, Hindi and Social Science are given on Tiwari Academy. We should also include the interesting facts related to daily life with the topic of NCERT Books.

##### How to prepare the Holiday Homework 2021-22 for class 9 and 10?

The collection of Important Questions from NCERT Textbook, From board Papers, CBSE Sample papers and NCERT Exemplar Books may be the good holiday homework practice material for High School students.

##### What would be good the Holiday Homework for class 11 and 12?

The Holiday Homework for class 11 and 12 are generally selected as the NCERT Textbook topics. The NCERT Books back exercises and related questions which are asked in CBSE Board Examination may be a good assignment for intermediate students.

Basic concepts such as "before/after", "above/below", etc.

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## 20 Creative homework ideas

You can divide homework tasks into the following themes or categories:

### Crafts and arts homework

#### 1. Prepare a dish from a recipe book

Cooking combines courses and goals like comprehensive reading, chemistry and math. Students won’t notice, but they have to understand the recipe in order to complete the dish. They have to measure and weigh all the ingredients and they learn about how the ingredients react with each other. Fascinating, isn’t it?

#### 2. Make a board game

This is definitely one of the most creative homework assignments. Let your students come up with an idea for a board game about the lesson content. They have to make cards, pawns, draw, write, cut and paste. They have to use their imagination and inventive ideas to create a coherent board game.

#### 3. Create a birdhouse

Birdhouses are good for the bird population. Besides that, students will need to use their practical skills to accomplish the challenge. They will have to measure all the parts and handle tools they’ve never used before. They will learn how to read a blueprint or how to create one. If you’re dealing with older students, it’s definitely a good idea to let them sketch and draw their own bird-dreamhouse.

#### 4. Transform a fictional book character into a hand puppet

A book review can be fun and creative as well. Let your students transform a book character into a hand puppet? Students have to read the book in order to know how the book character looks like. Afterwards, they have to tell what’s the book about with their hand puppet.

### Outdoor homework activities and outings

#### 5. Coupon game

Let your students gather as many coupons as they can by going to one single store. Let them write down the original price of the products and then calculate the discount. Which students come out the cheapest? This math homework activity teaches the students to calculate percentages in real life.

Students can also go grocery shopping with their parents. Here, they have to read the ingredients of the products and help their parents choose the healthiest products for the best prices, figure out the best deal between the sizes of items, …

#### 6. Visit the zoo

Let your students visit a zoo and be the family guide. They have to read the map or create their own map afterwards. You can also let them translate or look up the translation for a foreign language of every animal they visit.

#### 7. Visit the local dumping ground or container park

There are a few lessons, students can learn from this visit. Lots of people throw away perfectly recyclable things you can still use or give a new life. Let them (if possible) pick out a few pieces and give it a new life. The purpose of the tool may be something totally different. Students will also see that the amount of (plastic) waste is still immeasurable. Hopefully, it will encourage them to reduce their own waste consumption.

#### 8. Build a tree house

Students go to the forest and build their own tree house. First, students have to come up with a plan of a treehouse. Then, they can start measuring, sawing, and building. Let them decorate the tree house with objects out of the forest. Students learn how to sketch & draw and how to replicate a “bueprint” or a drawing in real life. They learn to appreciate nature, handle tools and they go outside from time to time.

### Games and activities as homework

#### 9. BookWidgets games

Assign fun learning games to your students. With BookWidgets your students are gaming, but also learning. As a teacher, you can put your lesson content into a crossword riddle, a wordsearch, a pair matching exercise. Here’s an example for in the elementary classroom or this “spot the difference” exercise for high school students.

#### 10. Minecraft

Let your students build a replica of the school or of their house in minecraft. It will teach them orientation and it will teach them to read the instructions and follow them. In order to build a replica of their house, students have to measure the areas in the complete house. This means that they will learn how to calculate areas and volume as well.

#### 11. Play Cards

A lot of card games like hearts, patience, bridge, poker, … require a good amount of common sense (and counting). Encourage your students to visit their grandparents and play a game with cards. Their grandparents or family will love it! I always enjoyed playing cards with my grandparents, even if they couldn’t handle their losses!

#### 12. Play Zoo Tycoon or Rollercoaster Tycoon

I know what you’re thinking… “Do we really need to encourage students to play games?”. Yes, you do. In these two games, students need to build a zoo or a theme park. But that’s not all. They have to solve problems all the time. They have to gather money to keep on building and to make the park profitable. This game teaches students how to handle money and how to solve problems. And it’s fun as well. That’s exactly the point. Students will learn and remember quicker when they are interested in what they are learning.

### Physical homework activities

#### 13. Rope skipping

Rope skipping is the perfect sport to teach and test agility. Encourage students to go rope skipping and combine it with a game.

Many rope skipping songs let your students do different tricks while rope skipping. This is a great opportunity for homework as well. Ask your students to transform a rope skipping song to a song with lesson content. Let them count or spell or even sum up the different states or capitals.

#### 14. Walking quest

In a lot of local towns, associations organize walking quests. Students have to go on a walking tour and they get a paper with pictures on it. They have to find the points on pictures on their way and put them in the right order. This is a fun activity that requires your student’s attention as well.

If there aren’t any walking quests in the neighbourhood, you could ask your students to create a walking quest like this for their fellow students. What a fun day it will be!

#### 15. Obstacle Quiz

Students have to create a quiz out of the lesson materials. This lets them work with the lesson material, and thus helps them remember it better. Besides that, they have to make a game out of it. It’s not an ordinary quiz: it’s a quiz with challenges.

In order for students to answer the questions, they have to run and pass a challenging parcour. This is a fun homework exercises, and in the end, it’s a great lesson starter or lesson end.

#### 16. Swimming games

Ask your students to go swimming after school or on Sunday morning. They also have to create plasticised cards from A to D attached to a cord with a weight. They have to prepare fun questions about the lesson material or just questions about the world. The student takes with their family and start the “swim quiz”. The answers are at the bottom of the pool and participants have to dive up the right answer (or letter).

### Digital or computer homework activities

#### 17. Create a picture album

Many online services make it easy for you to create an online picture album. Let your students do the same with their holiday pictures. They have to write a few sentences under each picture as well.

This teaches them to handle the online software, add pictures and write without spelling mistakes. And of course, creating memories is so much fun!

#### 18. Video job application

Job applications are still mostly done by email. This homework task challenges students to dig deeper and to present them by using video. Students learn how to put together an application, learn how to edit their video, and how to present themselves.

#### 19. Your life in 10 minutes - video

Another great challenge is this one: let your students shoot a video of 10 minutes about their own life and what they have been through. Students will have to write a script as well and make a storyboard. Then they have to start filming and edit the movie. You’ll get to know your students and they will get to know each other.

#### 20. Email pen-pals

This homework task is already an old one, but it has so much potential. Find a school in another country, speaking another language that is willing to do the same. Every student gets one pen-pal and they write emails to each other in the language of their pen-pal. It encourages them to write in a foreign language. They will also see the value in it as they will have to be able to speak another language on their work later in life.

### Philanthropy and social homework

#### 21. Grow a community garden

A lot of people don’t have much money to spend on food, or have no access to food at all. Growing a community garden with vegetables can help. This alternative homework task is much bigger than the others. It requires motivation and perseverance. It’s a long term (school) project that’s not done after one day. Students will have to plant the seeds, grow the greens, harvest the food and deliver it.

#### 22. Help in a retirement home

Lots of elderly people are all alone. They would give anything for a visit from a nice and friendly face. Let your students help out in a retirement home. Let them talk to the people, play cards, prepare fun activities and so on. Putting a smile on these people’s faces will lighten up the world, even if it’s just a little bit.

#### 23. Help at a homeless shelter

A lot of students don’t have a clue what’s happening in their own neighbourhood. It’s possible that they don’t even understand the word “poverty”. Let them help in the homeless shelter, and give the homeless food. Let them play cards with them and just talk to them. This challenge can be very confronting, but also a wise lesson.

#### 24. Collect litter

I know this isn’t the nicest homework, but it teaches students some important lessons about the environment. Ask your student to collect a bucket full of litter they found on the side of the road. Students will see that there still is a lot of trash just lying around. That’s their first lesson: make them aware of this problem. Then, ask them to sort the trash. This is their second lesson: lots of students don’t know what waste goes into which bin.

Here’s another homework tip: Don’t call homework “homework”. Call it a challenge. Homework has become a negative word for students, and I bet they start rolling their eyes as you even mention the word.

For many more ideas for homework, you can check this pdf file. It’s a long list of 22 (!) pages full of alternatives to homework.

## Math 41 Autumn 2014

Problems from the textbook and other handouts will serve one of two purposes in Math 41: as uncollected Daily Discussion Problems or as graded Weekly Homework. Each is handled in a different way and has a different purpose.

About Daily Discussion Problems (Quick Jump to List): Each time we cover a topic, we will list below the corresponding text section and also some "discussion problems" that will help direct the discussion in the upcoming Tuesday/Thursday section meetings. Some may be similar to problems from weekly homework assignments, and problems from prior years' exams will give you an idea of the level of exam questions. You should try working these discussion problems immediately after reading the book section(s) being covered in lecture. For complete understanding of the course material, be sure that you understand both the discussion problems and the weekly homework problems, in addition to all examples from the readings. (Work on daily discussion problems will not be collected.)

About Weekly Homework (Quick Jump to List): Completing homework assignments is an essential part of this course. Problems are designed to reinforce concepts covered in lecture as well as to encourage students to explore implications of the results discussed in class. Very few students will be able to go through the entire course without struggling on many problems, so do not be discouraged if you do not immediately know how to solve a problem. In confronting difficult questions you should consider how the problem at hand connects to topics, definitions and/or theorems discussed in class.

When you have worked on a problem for a while and remain stuck, you are encouraged to ask for hints from your instructor or TA. Students may also discuss problems with one another, but must write solutions on their own. In particular if you have taken notes while discussing homework problems with friends or instructors, you must put these notes away when writing your solution. The Honor Code applies to this and all other written aspects of the course. Be warned: watching someone else solve a problem will not make homework a good preparation for tests. Don't get caught in the trap of relying on others to get through homework assignments.

Partial progress toward solutions on problems will be awarded partial credit, but simply writing answers down without justification will receive zero credit. Please note that usually only a portion of each week's problems will be scored the selection of problems chosen to be graded will not be announced in advance.

Logistics for Weekly Homework: Assignments must be turned in to your TA (discussion section leader) -- you will not receive credit for work turned into another section leader. The deadline is the beginning of your discussion section on the given due date, and no late homework will be accepted under any circumstances. (This is as much a courtesy to the grader as an incentive to stay current with the course and not fall behind.) To accommodate exceptional situations such as a serious illness, your lowest homework score will be dropped at the end of the quarter. Solutions will be posted on this page.