Developed as part of the Math Circles of Inquiry project, this module enables students to build understanding about surface area. Students will complete three tasks dealing with surface area and volume of rectangular and triangular prisms, including a real world investigation, presented in Three Acts. The tasks will go from the concrete to the abstract as students gain understanding of what it really means to calculate surface area and volume. The module includes a refresher on area and perimeter.
Developed as part of the Math Circles of Inquiry project, this session is a good introduction to the 8th grade or Algebra Math curriculum using inquiry based instruction. Students are asked to use their problem solving skills in order to determine the relationship between the number of Supreme Court justices and handshakes that occur when each pair shakes hands exactly once. Students will begin exploring with simpler numbers and work up to creating an algebraic expression to represent the function. This lesson allows for multiple representations by using a table, list, circle diagram, matrix and manipulatives.
Developed as part of the Math Circles of Inquiry project, this session is an introduction to functions. This module allows students to investigate the definition of a function, function notation, key features of a function including increasing, decreasing (in both interval and inequality notation), maximum and minimum, average rate of change and domain and range.
Materials include a full packet of worksheets pertaining to this unit (54 pages). This part of the unit (not including transforming functions) should take about six hours of class time.
The rules to this game are simple -just Don’t Say 13… That should be easy right? This activity will explore a classic math problem, give students an idea of how to strategize, and learn about modular arithmetic.
In this session, developed as part of the Math Circles of Inquiry project, you are playing Fortnite. There are three loot boxes marked by your teammates. Which one is the best to go to? In other words, which point is closest to a given point outside a circle, the center of the circle or one of two points of tangency connecting the outside point to the circle? The highly contextualized nature of the problem posed will make the mathematics more appealing for students to explore. Moving between individual work, partner work, and whole class discussion, students make their predictions and...
We will place numbers, starting from the number 1, into our cauldrons. No two numbers in a cauldron can add to another number in the same cauldron. What is the largest number you can place into the two cauldrons without exploding?
In these puzzles, there are circles with numbers and empty circles. The goal is to put whole numbers in empty circles so that each circle has the sum of the digits of numbers connected to it. This is done by adding all the digits you see of each number (the digits of 18 are 1 and 8).
A prize is hidden behind one of three doors. You choose the door where you think the prize is hidden. But before the door is opened, one of the other 2 remaining doors is opened to reveal no prize. You can choose to keep the door you chose earlier or switch to the other remaining door. What should you do?
Frogs can only move right, or down, and toads can only move left, or up. Can you exchange all the frogs and toads? Can you create a formula for the fewest number of moves? This deceptively simple puzzle starts with a row of frogs and toads, then advances to a grid. The game can be played with manipulatives, online, or even with people to provide an engaging, solitary or cooperative activity for all ages.
Skyscrapers come in so many different sizes! Sometimes you can’t see small skyscrapers if tall ones are in front of them. Using clues about how many skyscrapers you can see from each side you look at them, can you figure out the layout of the entire city?