Observe cars which pass by your house for a period of time.  How many of each color car did you see?  Organize your findings in a graph or a chart.

Find two books.  One from your shelf and one from your parent’s shelf.  What is the difference in the amount of pages of the two books?

Investigate what you can do in one minute.  Set a timer.  See how many times you can write your name, how many sit ups you can do, etc. Challenge: Estimate how many of each you could do in ten minutes. What makes a reasonable estimate?

Gather toys in your house that have a total of 30 legs.  How many different possibilities can you gather to equal 30 legs?  

Experiment with boxes.  Find out which boxes in your house will fit inside one another.  Use vocabulary like longer, shorter, wide, narrow, etc.  Can you find two boxes that have different dimensions but that can hold the same amount?

How many shoes will it take to completely cover a table with no gaps or overlaps?  Estimate first, then find the real answer.  Is it different if you use your flip flops and then your dad’s shoes?

Can you hop more on your right foot or left foot?  Try it. Can you bounce a ball more times with your right hand or left hand?  Try it.

How far can you throw, kick, or hit different balls?  Measure how far each attempt is.  Keep track of your findings in an organized way.  What do you notice?

Compare the food labels on two of your favorite snacks.  What do you notice?  Is one healthier than the other?  What is your mathematical evidence?

Interview a family member to see how they use math during the day.

Count out 36 pieces of cereal.  How could you share the 36 pieces fairly with your family?  How many people would get some?  How many pieces would each person get?

Look through a magazine or newspaper for numbers.  Can you find any even numbers that are greater than 500 but less than 1,000?

Imagine you have $100 to spend.  Look at catalogs or online store sites and decide what you will buy. Challenge: Consider shipping and tax.

Choose 3 of your favorite t-shirts and 3 of your favorite shorts.  How many different outfits can you make with those items?  Make a diagram to show the outfits.

Find 5 things outside that are about the same size.  Now measure them.  Measure their length, their height, their weight.  What attributes are the same?  What attributes are different?

Fill a measuring cup with various food items (grapes, chocolate chips, cereal pieces, etc.)  How many of each item make a cup?  Keep track of your investigation in an organized way.  What do you notice? Challenge: Estimate how many of each item would fill a half cup.  A quarter cup?

Create and carry out a survey.  Survey at least 20 of your friends and family.  Display your data in more than one way.  What conclusions can you draw?

Find four books which when added together have a total of 100 pages.  Estimate how long it would take you to read all 100 pages.  Share your estimate with a  family member.  Challenge: Try it with a total of 1,000 pages. 

• Estimate how many cups of water it will take to fill a container?  How many different fractional cups does it take to fill the same container?  Keep an organized chart.  What patterns do you see? Take a picture of your chart and share!

Measure and calculate the area of different rooms of your house.  What do you notice?

Use a grocery store flyer.  Figure out the cost of making your favorite meal for all the people who live in your house.

If you cut 6 granola bars into fourths, how many fourths would you have?  Try it and take a picture.  If you cut 8 granola bars into thirds, how does it compare?

Investigate how many hours each member of your family sleeps in a week.  Make a chart that compares that data..

Do a Google image search of the word mathematician.  What do you notice?  How would you change what you see?