Bowland
Rods and Triangles
Scholars explore triangles with rods of different lengths. Using rods of 2, 4, 6, 8, and 10 cm class members build as many different types of triangles as they can. They also describe properties of these triangles and determine...
Bowland
Olympic Cycling
Teach teenagers to think critically about data. Young data analysts must create two questions that can be answered using a provided data set on Olympic cycling times. Of course, they then have to answer their questions using mathematics.
Bowland
Mobile Phones
Cheaper cell phone bills? Learners compare two different cell phone plans for a specified number of minutes of phone usage each day. They also determine the conditions for which one plan is cheaper than the other.
Bowland
Magic Sum Puzzle
Learners discover the magic in mathematics as they solve numerical puzzles involving magic sums. They then make a conjecture as to why no additional examples are possible based on an analysis of the puzzles.
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Hilbre Island
Young travelers plan a trip to Hilbre Island based on constraints on tides and time. They use a timeline to help determine the optimal day/time to make the trip.
Bowland
Golden Rectangles
Scholars must determine the maximum area for a rectangular plot of land enclosed with 100 meters of rope. As the work they discover patterns and numerical approaches to solve the problem.
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German or English?
Sprechen sie Deutsch? Future cryptographers must decide whether an unknown text is written in English or in German. They use provided pie charts about the frequency of words in the English and German languages to help make their decisions.
Bowland
Geoboard Squares
Don't be a square! Help your budding mathematicians discover patterns within squares. Scholars create squares on geoboards and identify patterns in the number of nails, both nails on the edge of the squares and nails within the squares....
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Fruit Pies
Scholars use formulas for the area of a circle and the area of a rectangle to determine the number of pies a baker can make from a particular area of dough. They must also take into account rolling the remaining dough into a new sheet.
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Fish Dish
Minimize the time it takes to create a fish dish. Scholars use their knowledge of time to devise an order that accounts for different constraints. Considering jobs that can be done in parallel is essential to solving the problem.
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Fares Not Fair
What would be a fair fare for a taxi? to answer the questions requires young mathematicians to analyze data on fuel prices and taxi cab fares. They determine and justify a fair fare price.
Bowland
Day Out
Use mathematics to help plan a field trip. Scholars use the results of a survey to determine where a class should go on a field trip. They use provided data about entrance fees and mileage to calculate the cost per person of such a trip.
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Cats and Kittens
Can a cat have 2,000 descendants in 18 months? To determine if this claim is realistic, individuals must take different pieces of information into account when justifying their responses.
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Bunting
How much fabric is necessary for bunting? Scholars use given dimensions of triangular bunting (hanging decorations) to determine the amount of fabric necessary to decorate a rectangular garden. The task requires pupils to consider how...
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110 Years On
How many great, great grandchildren can one have? Scholars estimate the number of descendants a woman can have after 110 years. They use information about the average number of children per family and life expectancy to make this estimate.
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Outbreak: Infection Detection
Explore the mathematics of infection outbreaks with activities that ask learners to use coordinate grids to locate infected patients. They calculate amounts of ingredients for antidotes and determine which groups of people should be...
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Mystery Tours – Plan Your Tour
Everyone loves a vacation and a set of three activities has groups planning a tour of the U.K. using given distance, time, and price data. They solve a variety of problems related to the trip and produce a report on the success of the trip.
Bowland
Mission: Rainforest
Young environmentally conscious mathematicians solve a variety of problems related to the central theme of uncovering illegal logging activities. They determine a base camp based on given constraints, investigate logging activities and...
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In the Olympics, are Women Improving Faster than Men?
Will the time come when women outperform men at the Olympic Games?Scholars investigate gender differences in Olympic Games performances. They study the historical participation of women and then analyze data to determine if women will...
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My Music
Scholars investigate how the tempo of music affects heartbeats. Groups develop hypotheses about music and its connection to heartbeats before carrying out an experiment. They analyze and present data from their investigations.
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Keeping the Pizza Hot
Learners conduct an experiment to develop a cooling curve for pizza. They consider how this affects pizza delivery in terms of packing material, distance, and delivery routes.
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In or Out? ... What's Your Decision?
Young mathematicians use photos and video clips to determine if a cricket player is "in" or "out." This analysis occurs using scale factors, distance-rate-time formula, and consideration of precision and accuracy.
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How Risky is Life?
"Life is more risk management, rather than exclusion of risks." -Walter Wriston. Scholars use provided mortality data to determine how likely it is a person will die from a particular cause. They compare the data to the perception of the...
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Highway Link Design
Discover a renewed appreciation for the highway transportation department. with a lesson that has scholars design a highway route that meets certain conditions, including traffic flow, curves, speed limits, financial costs, and...