TPT
Total:
$0.00
exSTEMsions Banner

exSTEMsions

Rated 4.64 out of 5, based on 25 reviews
80 Followers
Doylestown, Pennsylvania, United States
About the store
exSTEMsions was created by two math teachers, who also happen to be parents when we noticed how difficult it can be, as a teacher and as a parent, to find ways to help kids who are interested in math STAY interested in math through middle school, and beyond. Between us, we are teachers who have taught middle school and elementary school math, collegiate math, and have coached math teachers at both the middle and elementary school levels. exSTEMsions provides fun, fascinating problems accompanied by friendly, easy to understand solutions, supporting questions, extension problems, big ideas and more. We believe that we are ALL mathematicians – some of us just don’t know it yet. That’s why we offer enrichment opportunities for all learners to feed their inner math geek.
Read more

All resources

Preview of Paradox: Math, Critical Thinking and Problem Solving!

Paradox: Math, Critical Thinking and Problem Solving!

Created by
exSTEMsions
How can you create two similar, yet clearly different, shapes, using the exact same 7 tangram pieces? In each of these 6 different tangram paradoxes, both shapes can be made using the same 7 pieces, even though it will seem like it is not possible! Challenge your students to use geometry, logical thinking, spatial sense and problem-solving skills to not just how to create each shape in each paradox set, but to explain how each set is even possible! This download includes a complete problem-so
Preview of Gridwork: Math, Critical Thinking, and Problem Solving!

Gridwork: Math, Critical Thinking, and Problem Solving!

Created by
exSTEMsions
How do you know, for sure, that your friend’s grid must be a square, based on the information given? How can you explain how your know the shape of the grid, without even knowing what’s in it? Challenge your students to use number sense, algebraic thinking, arithmetic, and problem-solving skills to explain how you can know, for sure, the shape of the grid, and what it means for the numbers inside of it! This download includes a complete problem-solving journey to get your students thinking, i
Preview of Circles: Math, Critical Thinking and Problem Solving!

Circles: Math, Critical Thinking and Problem Solving!

Created by
exSTEMsions
This problem-set creates big ideas in geometry using your water glass! In this problem-set, students will draw, observe, draw some more, analyze, and then look for patterns to help them understand exactly what the pictures they’ve drawn have created. Your students will be surprised to find that their simple two-dimensional circles end up creating something much more complex, and even beautiful! Challenge your students to use what they know about geometry, patterns, and experimentation, along w
Preview of Moat: Geometry, Critical Thinking, and Problem Solving!

Moat: Geometry, Critical Thinking, and Problem Solving!

Created by
exSTEMsions
What if you wanted to fill in your moat and replace it with a mini-golf course? How would you figure out the area of grass you’d need? In this problem-set, kids will use what they know about circles, area, and measurements to help them solve the king’s (and poor Matt’s) problem. Kids will have to model, draw, experiment and use lines to help them determine how much grass the king needs! Challenge your kids to use what they know about circles, lines, and area, along with their understanding of t
Preview of Mystery Equation: Algebra, Problem Solving, and Critical Thinking

Mystery Equation: Algebra, Problem Solving, and Critical Thinking

Created by
exSTEMsions
There is something AMAZING about the machine in this junkyard… In this problem-set, kids dig into a mysterious equation for a machine that produces planks of a certain length. They’ll use their algebra skills, as well as the context of the story to help them understand what the equation REALLY means. Then they’ll translate their algebraic ideas into pictures that help them to visually explain their result. Challenge your kids to use what they know about algebra, averages, and lengths, along with
Preview of Beans: Math, Critical Thinking, and Problem Solving!

Beans: Math, Critical Thinking, and Problem Solving!

Created by
exSTEMsions
There are two jars of jellybeans, and both have at least some of your very favorite flavor…but which one should you choose from, if you want to have the best chance of choosing your favorite? After you spill (and clean up) the jellybean jars, how does that change the probability that you’ll choose your favorite in the newly distributed jars? Challenge your students to use number sense, proportional thinking, probability, and problem-solving skills to explain which jar gives the best chance of
Preview of Volunteers: Math, Problem Solving and Critical Thinking!

Volunteers: Math, Problem Solving and Critical Thinking!

Created by
exSTEMsions
How many children will be helping to renovate the neighborhood playground? See if your students can answer that question, and then create volunteer teams, using their math, critical thinking, and problem-solving skills. Students will model, use patterns, and more as they work to conquer the challenges in this unique problem set! This download includes a complete problem-solving journey to get your students thinking, including 2 unique, engaging, problem-solving tasks; the Problem, and its Exstem
Preview of Cards: Math, Critical Thinking, and Problem Solving

Cards: Math, Critical Thinking, and Problem Solving

Created by
exSTEMsions
What does mixing up red and black playing cards have to do with logical thinking? And how can a picturing what happens when you mix up two sets of cards help build reasoning skills that can apply to coffee?? This problem-set is all about taking a simple example, like mixing a deck of cards, and using it to talk about big ideas like how to reason logically, create arguments, and show thinking visually. Challenge your students to use logic, reasoning, proportional thinking, and problem-solving ski
Preview of Squares: Math, Problem Solving and Critical Thinking!

Squares: Math, Problem Solving and Critical Thinking!

Created by
exSTEMsions
How can you dissect a square into 6 smaller squares? What if you needed to dissect your square into 7 smaller squares? Or 8? Or 52? What would you do, and how would you explain it to someone else? Challenge your students to use spatial sense, logical thinking, and problem-solving skills explain how to make each dissection, and how to dissect one square into any number of squares larger than 8! This download includes a complete problem-solving journey to get your students thinking, including 3
Preview of Index Card: Geometry, Problem Solving, and Critical Thinking!

Index Card: Geometry, Problem Solving, and Critical Thinking!

Created by
exSTEMsions
Did you know that you can do AMAZING math with a simple, plain index card? In this problem-set, kids will measure, draw, experiment, think carefully, and then measure some more to discover both a useful equation, and a simple relationship that is created by holding an index card with one corner on the table. Challenge your kids to use what they know about measurement, patterns, and geometric shapes, along with their understanding of the equations, critical thinking, and problem-solving skills t
Preview of Pigeons: Graphs, Problem Solving, and Critical Thinking

Pigeons: Graphs, Problem Solving, and Critical Thinking

Created by
exSTEMsions
What could a problem all about graph have to do with pigeons? In this problem-set, kids with use coordinate graphs to travel from thinking about points and lines, to midpoints, to even and odd numbers, and THEN all the way to pigeons. This is using math to THINK critically and carefully (instead of just giving kids a formula for midpoint, or a definition for even and odd…). Challenge your kids to use what they know about lines, points, and quantities, along with their understanding of the equati
Preview of Kangaroo: Arithmetic, Problem Solving, and Critical Thinking!

Kangaroo: Arithmetic, Problem Solving, and Critical Thinking!

Created by
exSTEMsions
This kangaroo loves to hop in patterns. In this problem-set, students will draw, use patterns, and use their number sense to determine if the kangaroo will be able to return home using his favorite pattern of hops. Your students will be surprised to find big math ideas hopping around in this seemingly simple, and easy to relate to problem-set. Challenge your students to use what they know about arithmetic, patterns, and even/odd numbers, along with their understanding of the number line, critic
Preview of Apples: Math, Problem Solving and Critical Thinking!

Apples: Math, Problem Solving and Critical Thinking!

Created by
exSTEMsions
How could you fill the 8 boxes with apples, according to the farmer’s one, very important rule? What if you had 100 boxes? What if you had 11? Why does the number of boxes you’re using even matter? Challenge your students to use number sense, logical thinking, modeling, and problem-solving skills explain how to fill each set of boxes according to the farmer’s one rule! This download includes a complete problem-solving journey to get your students thinking, including 3 unique, engaging, proble
Preview of Mini-Challenges Set 3: Math, Problem Solving and Critical Thinking!

Mini-Challenges Set 3: Math, Problem Solving and Critical Thinking!

Created by
exSTEMsions
This download includes 3 simple, yet complex, mini-challenges to get your students thinking! Each mini-challenge in this set asks students to use geometry, logical thinking, and spatial sense, along with critical thinking and problem solving skills to find the solution. These mini-challenges are a simple way to build important mathematics content and process skills. Use these challenges to differentiate learning, or to provide a prompt around which students can work collaboratively! As collabor
Preview of Bad Arithmetic: Math, Problem Solving, and Critical Thinking!

Bad Arithmetic: Math, Problem Solving, and Critical Thinking!

Created by
exSTEMsions
This problem-set is all about arithmetic and numerical operations! In this problem-set, there are a series of seemingly correct equations that lead to an answer that just can’t be right. This challenge asks students to use their arithmetic skills, along with critical thinking abilities like analysis, evaluation, and perseverance to puzzle through the series of equations to identify where it all went wrong! Challenge your students to use their knowledge of operations and arithmetic, along with
Preview of Lines: Math, Problem Solving, and Critical Thinking!

Lines: Math, Problem Solving, and Critical Thinking!

Created by
exSTEMsions
This problem-set is part geometry, part mystery! In this problem-set, students will experiment, draw, collect data, look for patterns and think carefully about what is known, along with what is unknown – all so that they can decide if it’s even possible to solve the problem! Challenge your students to use what they know about geometry, patterns, and experimentation, along with their critical thinking, and problem-solving skills to figure out if they can actually determine the number of lines th
Preview of Grapes: Math, Problem Solving, and Critical Thinking!

Grapes: Math, Problem Solving, and Critical Thinking!

Created by
exSTEMsions
We’ve all been to the grocery store to stock up on our favorite fruits, like grapes. And what happens to a fruit, like grapes, as they sit in the store waiting to be bought? Well, they dry out (just a little)…but how does that change how much something like grapes actually weigh? This is important to know, since we buy them by weight! How can you figure out how much the grapes weigh, after a percentage of the water has evaporated? And how can you explain and describe that change in weight, using
Preview of Deal: Math, Problem-Solving and Critical Thinking!

Deal: Math, Problem-Solving and Critical Thinking!

Created by
exSTEMsions
What’s the best way to become a winner on Let’s Make a Deal? While you are playing the game, should you stay with the door you are given, or switch? Why does the most effective strategy actually work? Challenge your students to determine the most effective approach to winning Let’s Make a Deal, explain (using data!) how to win, and why that approach actually works that way using their math, critical thinking, and problem-solving skills! This download includes a complete problem-solving journe
Preview of Dice: Probability, Problem Solving, and Critical Thinking

Dice: Probability, Problem Solving, and Critical Thinking

Created by
exSTEMsions
This problem-set is all about experimenting with probability through both standard and non-standard dice sets. What happens to the probability of each sum, 2- 12, when we change the numbers on the dice? What happens to the probabilities when we use dice that have 4 sides, rather than 6? How can we make our own dice with our own numbers, but keep the probabilities the same? To complete these problems, your kids will do hands-on experiments with each set of dice, think carefully about the resulti
Preview of Mini-Challenges Set 1: Math, Problem-Solving, and Critical Thinking

Mini-Challenges Set 1: Math, Problem-Solving, and Critical Thinking

Created by
exSTEMsions
This download includes 3 simple, yet complex, mini-challenges to get your students thinking! Each mini-challenge in this set asks students to use their number sense, critical thinking and problem solving skills to find the solution. These mini-challenges are a simple way to build important mathematics content and process skills. Use these challenges to differentiate learning, or to provide a prompt around which students can work collaboratively! As collaborative work these mini-challenges are a
Showing 1-20 of 25 results

About the store

Experience

exSTEMsions was created by two math teachers, who also happen to be parents when we noticed how difficult it can be, as a teacher and as a parent, to find ways to help kids who are interested in math STAY interested in math through middle school, and beyond. Between us, we are teachers who have taught middle school and elementary school math, collegiate math, and have coached math teachers at both the middle and elementary school levels. exSTEMsions provides fun, fascinating problems accompanied by friendly, easy to understand solutions, supporting questions, extension problems, big ideas and more. We believe that we are ALL mathematicians – some of us just don’t know it yet. That’s why we offer enrichment opportunities for all learners to feed their inner math geek.

Teaching style

Our approach to math is rooted in the belief that everyone can be good at mathematics. We believe in the enormous value of an inquiry-based approach to teaching, where the teacher/parent serves as facilitator and guide -allowing students to explore, to test, and to struggle - providing instruction, direction and support as needed. Our problems are also grounded in the idea that math, problem-solving and critical thinking are vital skills that inform all other areas of learning and life. Our goal is always to help children build their problem-solving 'tool kits,' practice thinking critically, and gain confidence in their abilities through problem-based math.

My own education history

Sara received her B.A. in Education and Sociology from Saint Peter's College (now University) followed by my M.A. in Education with a concentration in Mathematics and Science from Seton Hall University. She completed additional coursework in mathematics at Kean University, and additional graduate coursework at Mount Holyoke College and Marygrove University.Currently, Sara is focused on creating effective instruction for children through a variety of delivery methods (online, face-to-face, etc.), by attending professional conferences, workshops and other continuing education opportunities.

Additional biographical information

Sara Torpey is the CEO and co-founder of exSTEMsions. Sara has been a teacher for as long as she can remember - she taught swimming, baking, writing, French braiding and lots more, all before leaving high school. Her formal teaching career began as a middle school math teacher. From that role she went on to become a math coach, working with middle and elementary school teachers to improve their content knowledge and instructional skills. She has also taught various kinds of mathematics to college students. No matter the role, Sara’s first love has always been teaching. Sara sees exSTEMsions as an awesome way to teach in two ways: teaching learners through awesome problems AND helping parents learn to love doing math their kids, even if teaching math isn’t their passion. Sara lives with her fabulous husband, two silly children, one happy dog, fish (really, what can you say about the fish?) and one cranky cat in Bucks County, PA. Elizabeth Sieminski is the CCO (chief content officer) and co-founder of exSTEMsions. She has two Master's degrees: one in mathematics, and the other in math education, curriculum and instruction. Elizabeth has been a philosopher, artist, architectural designer, and mathematics and mathematics education professor in her winding professional journey. Elizabeth hasn’t been able to choose sides - doer or teacher - and she’s glad not to. She has never believed that a student can only be good in one category - arts or sciences - and has worked on developing all sides of the brain - be it her own, her son’s, or her students’. Elizabeth sees exSTEMsions as a natural extension of her math education brain, her artistic brain, and her love for international math-problem-joy. She lives in Union County, NJ with her mathematician husband, and worries about her son who will graduate from college before being able to legally toast his own success (and she hopes that her son has forgotten some of those crazy math education experiments from his early childhood…). She is also close friends with two colonies of microorganisms: her New Jersey kitchen sourdough and homemade yogurt culture.