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Give kids a taste of a sequence, let them build an understanding, and then see how far their predictions can take them.
Multiplication and division, natural foes, are constantly seeking to undo each other. Students will attempt to reverse the effects of multiplication by dividing once, twice, or even thrice!
A triangle splits and splits and splits again. How many will there be in step 20?
Start with one fence section: four pieces of wood. Students count, hunt for patterns, and push their predictions further and further — until they can name the step from the total alone.
Fill in the blanks so the expression equals exactly 22, using each digit only once. Then change 22 to 24 and watch most of the solutions disappear.
Say you have a dollar. Say you can double that dollar each day: $1, $2, $4, and so on. How long will it take to reach… one million dollars? Not as long as you might think!
Let’s use factors to encode and decode words.
These flowers sure are getting bigger faster! How large will they be in step 10? What about step 50?
Scrambled up somewhere in 161,000 is a first name. Can you find it!?
The commutative and associative properties are a whole lot more interesting when you apply them to a mathematical operation that you created!
Two tiny parentheses. One expression. How big of a change can they make? Bigger than you think.
Using exponent patterns, can students predict what the 0th power will be?
Why are there 12 months? Why don’t weeks fit into months evenly? Why don’t weeks fit into the year evenly? What’s going on with the calendar!
Use super cute fruit to introduce algebraic thinking to your young math students.