EngageNY
Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities
Cultivate the tree of knowledge using diagrams with two stages. Pupils create small tree diagrams to determine the sample space in compound probability problems. The lesson plan uses only two decision points to introduce tree...
California Education Partners
Improving Our Schools
Split the work three ways. Learners use their knowledge of fractions to solve problems dealing with splitting up work loads evenly between three groups. Scholars determine the fractional portion of work each group will do along with...
EngageNY
Conducting a Simulation to Estimate the Probability of an Event II
Add some randomization into simulations. The 11th installment in a series of 25 presents two new methods to use in simulations--colored disks, and random numbers. Pupils use random numbers to run simulations where the probabilities make...
California Education Partners
Cady's Cats
How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...
Illustrative Mathematics
Fred's Fun Factory
Spin to win! Individuals calculate the average number of tickets expected based on a probability distribution for the number of tickets per spin. Pupils use that information to determine the average number of tickets that can be won...
EngageNY
Chance Experiments
Class members are introduced to probability using terms such as impossible, unlikely, likely, and certain. Numbers between zero and one are associated with the descriptions of probability. Pupils find the likelihood of chance experiments...
Illustrative Mathematics
Hours of Daylight 1
The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...
Bowland
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.
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...
EngageNY
Ratios
Create ratios using the boys and girls in the class. The first instructional activity in a 29-part series introduces ratios. Pupils learn to create ratios, write them, and model them with tape diagrams. Class members realize that there...
Charleston School District
Review Unit 3: Functions
Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...
Balanced Assessment
Getting Closer
Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...
Achieve
Framing a House
If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.
Bowland
Speedy Santa
Santa sure is fast. In the assessment task, learners calculate the number of minutes Santa can spend at each house. This calculation requires the use of given population demographics data.
Concord Consortium
On the Road to Zirbet
The road to a greater knowledge of functions lies in the informative resource. Young mathematicians first graph a square root function in a short performance task. They then use given descriptions of towns and the key features of the...
Concord Consortium
Other Road
Take the road to a greater knowledge of functions. Young mathematicians graph an absolute value function representing a road connecting several towns. Given a description, they identify the locations of the towns on the graph.
Bowland
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.
Bowland
The Z Factor
Young mathematicians determine the number of hours it would take judges of the "Z Factor" television talent show to watch every act. Participants make estimates and assumptions to solve the problem.
California Education Partners
Four Square Wars
Obviously, four is the perfect number when you're playing Four Square. Scholars first use multiplication and division to solve a set of problems on the number of balls needed, the number of games, and the number of players required for a...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
California Education Partners
School Supplies
Make sure to get enough for everyone. The three-part assessment task requires scholars to calculate with decimals. Learners determine the cost of school supplies and whether the teachers have ordered enough. The assessment is the sixth...
Bowland
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
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.
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.