West Contra Costa Unified School District
Divisibility Rules Justified
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in...
Bowland
Sundials!
Time to learn about sundials. Scholars see how to build sundials after learning about Earth's rotation and its relation to time. The unit describes several different types of possible sundials, so choose the one that fits your needs — or...
Curated OER
Metric Magic
Sixth and seventh graders construct a "metric machine" as a kinesthetic aide in converting from one unit to another in grams, liters, or meters. They complete a metric activity on the Internet and view about five minutes of a video on...
Curated OER
Exploring Scale And Ratio
Students measure the actual size and distance of the solar system using scale and ratio. They watch and discuss a video, create a distance-scale solar system model, and compare the scale sizes of planets to their actual sizes.
Curated OER
Looking at Circumference
Students understand where the number for pi comes from. They understand and use the formula for circumference. Students measure the circles given out and the diameters of those circles and record the results on their worksheet.
Curated OER
Starting With Stats
Statisticians analyze a data set of student IQs by finding measures of central tendency and dispersion such as mean, median, mode, and quartiles. They practice using a graphing calculator to find the values and analyze box plots and...
Curated OER
Ratios, Rates, Percent and Nutrition
Examine food labels to determine percentage of fat and sugar to total calories with middle schoolers. Daily nutritional guidelines are discussed and learners will decide how well their foods fit into a healthy diet. In the provided...
Mathematics Assessment Project
Taxi Cabs
A simple real-world problem involving taxi cab fares is used to practice the multplicaiton and division of integers. How many of two different-sized taxis are needed to transport 75 people to the airport? What is the least...
PBS
Add, Subtract and Multiply Fractions
Your future chefs will appreciate this comprehensive lesson where learners practice operations on fractions using pizza and soup analogies. Learners begin with a pizza analogy that requires the learners to multiply a whole...
Curated OER
Let's Plot Points
Use coordinate grid paper to plot points and identify shapes that are already plotted on the paper by saying their coordinates. Pupils also measure the distance between points and play the game Battleship. There are several web links and...
Bowland
Alien Invasion
Win the war of the worlds! Scholars solve a variety of problems related to an alien invasion. They determine where spaceships have landed on a coordinate map, devise a plan to avoid the aliens, observe the aliens, and break a code to...
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
Royal Liver Clock
Using clocks as dining tables? Scholars estimate the number of people that can sit around the face of the clock on the Royal Liver Building in Liverpool. They use estimation to justify their responses.
Bowland
Problem Page
Future mathematicians use a given graph to answer a question about age differences in relationships. Along the way, they must find the equation and inequality of given graphs.
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
Mathematics Assessment Project
Octagon Tile
A connecting-the-dots activity seems too easy for seventh grade but connecting vertices may prove a challenge. Class members first examine a figure created by drawing squares around the inside of an octagon and connecting the...
Mathematics Assessment Project
Temperatures
As a middle school assessment task, learners first examine line graphs of monthly temperatures for two locations, and then match box plots to each line plot.
Curated OER
Candy Bars
There is often more to data than meets the eye. Scholars learn that they need to analyze data before making conclusions as they look at data that describes the number of candy bars boys and girls eat. They disprove a given conclusion and...
American Statistical Association
Exploring Geometric Probabilities with Buffon’s Coin Problem
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Mathematics Assessment Project
Designing 3d Products: Candy Cartons
Wouldn't it be great to work in a candy factory? Learners get their chance as they first design a carton for a candy that meets certain requirements. They then examine and analyze nets and explanations in sample student responses.
Mathematics Assessment Project
Optimizing Coverage: Security Cameras
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
Mathematics Assessment Project
Sharing Costs Equitably: Traveling to School
Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate the cost in a set of provided examples. I think I'd rather take the school...
Bowland
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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