In this activity students compare objects to see which is longer and heavier than the other.
In this task students figure out how to draw the longest line on a map of the United States without hitting a border. They use color and line plots to keep track of their results.
This task builds on studentsŐ prior knowledge and understanding of conditional probability, and introduces the concept of independence of events.
The primary text for this course is material published by Monterey Institute for Technology and Education (MITE) and remixed by David Lippman of Pierce College. The full textbook can be downloaded here: https://www.opentextbookstore.com/arithmetic/book.pdf Original content for this course, including worksheets, were also contributed by David Lippman.
This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers. Integers are only introduced at the end of the course and only the last section introduces algebra concepts.
Each Unit contains:
Worksheets
Activities
Video Lessons
Lumen OHM Homework
Lumen OHM Practice Exams
To use the OHM aspects of the course, students have to purchase OHM access.
Students are challenged to design and program Arduino-controlled robots that behave like simple versions of the automated guided vehicles engineers design for real-world applications. Using Arduino microcontroller boards, infrared (IR) sensors, servomotors, attachable wheels and plastic containers (for the robot frame), they make "Lunch-Bots." Teams program the robots to meet the project constraints—to follow a line of reflective tape, make turns and stop at a designated spot to deliver a package, such as a sandwich or pizza slice. They read and interpret analog voltages from IR sensors, compare how infrared reflects differently off different materials, and write Arduino programs that use IR sensor inputs to control the servomotors. Through the process, students experience the entire engineering design process. Pre/post-quizzes and coding help documents are provided.
The purpose of this task is for students to compare two options for a prize where the value of one is given $2 at a time, giving them an opportunity to "work with equal groups of objects to gain foundations for multiplication." This context also provides students with an introduction to the concept of delayed gratification, or resisting an immediate reward and waiting for a later reward, while working with money.
The Massachusetts Institute of Technology, with funding from the William and Flora Hewlett Foundation, the Andrew W. Mellon Foundation, and MIT, has launched this "large-scale, Web-based electronic publishing initiative." The website posts lecture notes, problem sets, and other materials from courses across the MIT campus. This section highlights MIT's undergraduate and graduate program in Mathematics. Courses are listed by title and include topics such as Differential Analysis, Linear Algebra, and Statistical Inference. The materials serve as valuable resources for educators, students, or anyone interested in learning more about these topics.
Resources - MTC4SJ Workshops
Students measure the relative intensity of a magnetic field as a function of distance. They place a permanent magnet selected distances from a compass, measure the deflection, and use the gathered data to compute the relative magnetic field strength. Based on their findings, students create mathematical models and use the models to calculate the field strength at the edge of the magnet. They use the periodic table to predict magnetism. Finally, students create posters to communicate the details their findings. This activity guides students to think more deeply about magnetism and the modeling of fields while practicing data collection and analysis. An equations handout and two grading rubrics are provided.
The purpose of this task is for students to find different pairs of numbers that sum to 9.
This instructional task gives students a hands-on experience with composing and decomposing geometric figures.
This task is for students who know how to use base 10 blocks.
This task is a straightforward task related to adding fractions with the same denominator. The main purpose is to emphasize that there are many ways to decompose a fraction as a sum of fractions, similar to decompositions of whole numbers that students should have seen in earlier grades.
This tasks lends itself very well to multiple solution methods. Students may learn a lot by comparing different methods. Students who are already comfortable with fraction multiplication can go straight to the numeric solutions given below. Students who are still unsure of the meanings of these operations can draw pictures or diagrams.
This is the first of two fraction division tasks that use similar contexts to highlight the difference between the ŇNumber of Groups UnknownÓ a.k.a. ŇHow many groups?Ó (Variation 1) and ŇGroup Size UnknownÓ a.k.a. ŇHow many in each group?Ó (Variation 2) division problems.
This is the second of two fraction division tasks that use similar contexts to highlight the difference between the ŇNumber of Groups UnknownÓ a.k.a. ŇHow many groups?Ó (Variation 1) and ŇGroup Size UnknownÓ a.k.a. ŇHow many in each group?Ó (Variation 2) division problems.
The purpose of this instructional task is to motivate a discussion about adding fractions and the meaning of the common denominator. The different parts of the task have students moving back and forth between the abstract representation of the fractions and the meaning of the fractions in the context.
The goal of this maker challenge is to demystify sensors, in particular the ambient light sensor, and to map its readings visually. In today’s world, we make sense of the environment around us by filling it with sensors, and we use output devices to display real-time data in a meaningful way. Take any smartphone as an example. Aside from the embedded camera and microphone, a number of other sensors collect a wide range of data. Depending upon the model, these sensors may collect data on proximity, motion, ambient light, moisture, compass, and touch. Some of these data are directly visualized through an app, while many operate internally and without a user interface, just below the surface of the screen. In order to become more familiar with the technology that we use (and often take for granted) on a daily basis, your challenge is to assemble a light sensor circuit, observe its readings using the Arduino Serial Monitor, and then create your own unique visualization by interfacing with the Processing software. Students learn how to use calibration and smoothing to capture a better picture of the data. Afterwards, they share their visualizations with the entire class. The time required for this challenge depends on students’ prior knowledge of Arduino and Processing software. Background resources for beginners help students get up to speed on microcontroller hardware and offer additional challenges for intermediate and advanced users.
This task requires students to study the make-a-ten strategy that they should already know and use intuitively. In this strategy, knowledge of which sums make a ten, together with some of the properties of addition and subtraction, are used to evaluate sums which are larger than 10.
This task is to introduce students to the concept of reading an analog clock.