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Real Math Academy

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Temecula, California, United States
About the store
Math stories to be solved in small groups. Please visit realmath4all.com for more details on how to use the stories or read about it in the section "teaching style"
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Preview of Tiny House (Volume of Cylinders, Spheres, and Cones Story)

Tiny House (Volume of Cylinders, Spheres, and Cones Story)

Li’s company, SiloBuild, uses unused silos to build tiny houses for its clients. Clients have 3 floor plans to choose from. Nia wants a home that gives her family the most space. Which one should she choose? Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Snail Race (Proportional Relationships Story)

Snail Race (Proportional Relationships Story)

The comic depicts a live sports broadcast covering the Snail Race World Championships in Van Nuys, California. Commentators introduce a highly anticipated 14-inch drag race and tease a breakdown of this year’s competitors after the commercial break. Behind the scenes, you and the production team work hours in advance to finalize player cards and ensure all on-screen information is ready. Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Pathway (Circle Story)

Pathway (Circle Story)

Alberto from Scape that Land meets James, the city planner, at city hall to discuss the new path at the playground. There are three designs they can do for the pathway. The space between the pavers can be grass, rocks, or sand. The space between the pavers will require maintenance. How much space is there between the pavers in each design? Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Marbles (Probability Story)

Marbles (Probability Story)

A. Alberto plays a prediction game at a carnival. He has to predict which 3 marbles he will draw from a jar in a particular order. What prediction should he make that will give him the highest chance of winning? B. Alberto plays a prediction game at a carnival. He has to predict which 3 marbles he will draw from a jar in no particular order. What prediction should he make that will give him the highest chance of winning? Extension: Can you calculate how much Sara and Andrew will have to charge
Preview of Deer Population (Ratios Story)

Deer Population (Ratios Story)

Oxford County has a deer population of 130 adult deer. The pre-hunt population is 105 does and 25 bucks. Throughout the year, tags are sold to hunters, deer will die from natural causes, and does give birth. We prefer the doe-to-buck ratio to be between 2:1 and 3:1. For each neighboring county, we enter the ratio into our system to track population changes over time. How does our ratio compare with that of other countries? Includes answer key and blank storyboard for the teacher to make up their
Preview of Stay or Switch (Probability Experiment)

Stay or Switch (Probability Experiment)

A retelling of the classic Monty Hall problem. Andrew and Li are watching the show and discussing the contestant's choices. Is it best to switch to an alternative door or stay with your initial choice? The experiment will provide them with the answer. Do you stay or switch? Includes answer key and blank storyboard for the teacher to make up their own story. *Required Materials: 3 cups per group and a toy car (or anything that can represent the car). Another option is using lego doors or anything
Preview of Stables (Fraction Computation with Measurements Story)

Stables (Fraction Computation with Measurements Story)

At Meadow Farm, owners Lin and James are planning to expand and build new stables for their horses. We need to design a barn (with doors and a walkway) with six stables, a feed stall, a wash stall, and an office. We need to label the room sizes as we divide the space. Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Newborns (Probability Experiment)

Newborns (Probability Experiment)

James and Nia’s friend Sara is pregnant with her third daughter. Nia assumes someone has a 50 percent chance, but James thinks it must be lower, because he doesn’t know many people with 3 girls. They decide to make a list and do an experiment using coins or dice. Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Mixing Paint (Percentages with Rates Story)

Mixing Paint (Percentages with Rates Story)

Andrew is mixing paint to paint his daughter's bedroom wall pink. He mixes red and white paint to create various shades of pink. He uses a chart to make the various colors of pink. What are the percentages of red and white paint in the various pinks? Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Drone Delivery (Pythagorean Theorem Story)

Drone Delivery (Pythagorean Theorem Story)

A: Our drones deliver packages all over the city. The process is mostly flawless, with just a few minor hiccups. They are programmed to go to the nearest charging station, when the battery runs low. Our issue is that each charging station has space for only four drones. Can you calculate how far each drone is from each charging station and determine which ones it can safely reach. B: Our drones deliver packages all over the city. The process is mostly flawless, with just a few minor hiccups. The
Preview of Gravel (Area of Composites Story)

Gravel (Area of Composites Story)

We are going to the garden center to buy pea gravel for our yard. We have created a blueprint for the yard design. We want gravel around the patio, firepit, pavers, and fountain. Each 50-lb bag of pea gravel we would like to buy will cover about 3 square feet. How many bags do we need? Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Bus Tour (Ratios Story)

Bus Tour (Ratios Story)

A: Double Decker City Tours' buses have 36 seats. For safety and profit, they always need to know exactly who is on the bus. They can't afford to have too many riders with a discount on the bus. The ratio of adults to students is now 1:1. How many adults and students are on the bus at each stop? B: Double Decker City Tours' buses have 48 seats. For safety and profit, they always need to know exactly who is on the bus. They can't afford to have too many riders with a discount on the bus. How many
Preview of Kuwait (Area of Rectangles, Triangles, and Trapezoids Story)

Kuwait (Area of Rectangles, Triangles, and Trapezoids Story)

We are the geometry experts at Sara’s Flags. Sara uses high-quality, weather-resistant fabric to make our flags, and it is our job to ensure that we have enough fabric. Sara is adding more flags to the catalog and has asked us to calculate how much fabric each flag requires. Today, we will focus on Kuwait. What is the area of each color of the Kuwaiti flag? Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Garden Bed (Scale Drawings Story)

Garden Bed (Scale Drawings Story)

Nia needs netting for her garden. She plans to wrap netting around poles in the corners of each garden bed. How many feet of netting will she need to wrap each garden? Includes answer key, answer sheet, and blank storyboard for the teacher to make up their own story.
Preview of Scandinavia (Area of Composites Story)

Scandinavia (Area of Composites Story)

We are Sara’s Flags' geometry experts. Sara uses high-quality, weather-resistant fabric to make the flags, and it is our job to ensure that we have enough. We are adding the flags of Iceland, Norway, Sweden, Denmark, Finland, and the Faroe Islands to our catalog. We need you to calculate the amount of fabric each flag requires. We need to ensure we have the right amount of colored fabric when we start production. How much colored fabric do we need to make one of each flag? What are the ratios be
Preview of Trail Run (Unit Rate with Distance and Time Story)

Trail Run (Unit Rate with Distance and Time Story)

Alberto goes on a jog through the forest five days a week. Every day he takes a new trail and keeps track of his distance and time on his watch. When he comes home, he records his distance and start and finish time. What is Alberto’s mile time for each of his runs? Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Czechia (Area of Trapezoids and Triangles Story)

Czechia (Area of Trapezoids and Triangles Story)

We are the geometry experts at Sara’s Flags. Sara uses high-quality, weather-resistant fabric to make our flags, and it is our job to ensure that we have enough fabric. Sara is adding more flags to the catalog and has asked us to calculate how much fabric each flag requires. Today, we will focus on the Czech Republic or Czechia. What is the area of each color of the Czech flag? Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Wallpaper (Intro to Surface Area Story)

Wallpaper (Intro to Surface Area Story)

Nia and Andrew have a gray wall in their home. They agreed it needs some color but need help deciding what paint color to get. Andrew suggests hanging wallpaper instead of painting it, which Nia thinks is an excellent idea. How many rolls will we need to cover this wall? Includes answer key and blank storyboard for the teacher to make up their own story.
Preview of Trainer (Unit Rate with Prices Story)

Trainer (Unit Rate with Prices Story)

Andrew works as a personal trainer. He has the option to be paid per client,  or to work by the hour. How much more would he make in a 5-day work week if he chose the right option? After six months, Andrew has established a reputation as a top personal trainer. How many hours will he need to work during the week if they can give him a raise, so that he earns the same as being paid per client?  Includes answer key, answer sheet, and blank storyboard for the teacher to make up their own story.
Preview of World Bank (Operations with Scientific Notation Story)

World Bank (Operations with Scientific Notation Story)

The World Bank is an international financial institution that provides loans and grants to the governments of low—and middle-income countries to pursue capital projects. James, a data analyst at the World Bank, has been tasked with calculating the GDP per capita for a list of countries and making a list ranking these countries. Extension: Use the average GDP for the world since 1998. Includes answer key, answer sheet, and blank storyboard for the teacher to make up their own story.
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About the store

Experience

Math stories to be solved in small groups. Please visit realmath4all.com for more details on how to use the stories or read about it in the section "teaching style"

Teaching style

Small groups work on challenging real-world problems to encourage collaboration, communication, critical thinking, and most important DEBATES! These tips and tricks are ideas I learned in class or from another resource. I designed this page to share how I use Real Math and what has worked well for me. Students in groups of 3 (more than 3 and at least one will stop working). Buy big whiteboards for them to do the work on (I used to have them on the desks, and now they hang on the wall; for more information on that, read Building Thinking Classrooms by Peter Liljedahl). Import the PDF to an app (I use Notability) and project it. This allows you to write on the stories. Give the students only one marker so they have to work together (for more information on that, read Building Thinking Classrooms by Peter Liljedahl). If you don't have hanging whiteboards, get 2 or 3 easels so the whole class can look at sample work. Use the blank storyboard if you want to tell your own story or use your own numbers. When groups start finishing the work, pair them up with groups that have very different answers. This will allow them to debate and learn from each other. Refrain from telling them if they are right or wrong. Let them figure it out and debate. As much as possible, I try to use the Rigor and Relevance Framework as a guide when I create the questions, but this is also supposed to be FUN and ENGAGING in class. There will be beauty in the chaos.

My own education history

BA in Child and Adolescent Development M.Ed. in Curriculum and Instruction.

Additional biographical information

When I worked in Cambrian School District in San Jose ten years ago, I walked into a colleague's classroom and spotted a test on a table in the back of the room. The test topic was circles, and I noticed one of the questions was about the Japanese flag. The students were asked to find the circle's circumference on the flag. This question did not require a picture of the flag, nor was it very challenging. There is only one way for students to solve the problem: to apply the formula written at the top of the page. Even though I wasn't a fan of the question, it gave me an idea. I looked up a few interesting flags, and after seeing that test on the desk, I presented my students with the flag of Norway and asked them to find the area of the three colors. I did not give them any other instructions, but what happened next was more exciting than anything I could have dreamed of. Students started moving around the classroom, discussing their ideas with classmates. They walked up to the Smartboard and started drawing lines to cut up the shape. Students with different answers began arguing about who was right; mistakes were made and then erased. It was beautiful. Shortly after, I bought large whiteboards and markers for students to use in small groups of three, and I spent most of my free time creating presentations on Google Slides. I spent a few years creating presentations with math that applied to the real world. Some worked great; others could have been done better. One day, I decided I needed to share my presentation with the rest of the teaching community, but I needed to figure out how or in what format. I tried a few things, but I needed more. One night, I was reading to my sons before bedtime, and it hit me. I can make math stories! And so Real Math was born.