In this lesson, students first create factor posters for a variety of different numbers that will be displayed in the classroom to be utilized as a resource throughout the school year. They make discoveries about factors using color tiles, represent their discoveries using graph paper, and display their information on poster board as find factors of an assigned number. The plan includes a list of materials, questions, assessment options, and extensions.
This is an interactive applet game exercises a student's factoring ability. A student can play against the computer or against a friend on grids containing the numbers 1-30, 1-49, or 1-100. Each player in turn chooses a number from the board, and then the opponent claims all of its remaining proper factors. A player's score is the sum of all the numbers and factors she/he has chosen. When there are no numbers remaining with unclaimed factors, the game ends and the player with the greater total is the winner.
An online, interactive, multimedia math investigation. The Factor Game engages students in a friendly contest in which winning strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers.
When students play the Factor Trail game, they have to identify the factors of a number to earn points. Built into this game is cooperative learning students check one another's work before points are awarded. The score sheet used for this game provides a built-in assessment tool that teachers can use to check their students' understanding.
This interactive applet allows a student to visually explore the concept of factors by creating different rectangular arrays for a number. The user constructs the array by clicking and dragging on a grid. The length and width of the array are factors of the number. A student can elect an option of a randomly selected number or the student selects his own number between 2 and 50. Exploration questions are included to promote student discovery of mathematical concepts with factors.
This lesson is a presentation of famous scientist throughout history where the students will learn and take notes about the contributions and discoveries made in science.
It's Mother's Day and Dolly, a high school senior, is making a Mediterranean salad for her mom, who is a college chemistry major and who likes to take every opportunity to teach Dolly what she has learned in school. Today is no exception, as she guides Dolly through a chemistry lesson in the kitchen. The case compares and contrasts the structures of various fatty acids, saturated with unsaturated, monounsaturated with polyunsaturated, and cis-conformation with trans-conformation. The melting point differences of saturated, monounsaturated, and polyunsaturated fatty acids also are explained as are the structures and functions of triacylglycerol, phospholipid, HDL cholesterol, LDL cholesterol, and omega-3 fatty acids. The case could be used in courses in general chemistry, organic chemistry, biochemistry, nutrition, biology, and food science.
"This lesson sets the stage for a discussion of travel in the solar system. By considering a real-world, hands-on activity, students develop their understanding of time and distance. Finally, students plot the data they have collected." from NCTM Illuminations.
Students can use this interactive Flash applet to practice subitizing and counting groups of objects, to understand the importance of 5 in our base-10 number system, and to learn basic addition facts. In the four included games students construct groups of 5 objects, add groups of objects within 10, and identify and record numbers within 10. Auditory prompts support students with limited reading ability.
This is a classroom lab where students will explore the concept of density by investigating how various solids and liquids interact.
Students conduct several simple lab activities to learn about the five fundamental load types that can act on structures: tension, compression, shear, bending and torsion. In this activity, students play the role of molecules in a beam that is subject to various loading schemes.
This applet allows students to individually practice working with relationships among fractions and ways of combining fractions. It is an online, one person game, with immediate feedback on incorrect moves. All instructions for this fun visual game are included and illustrated.
Explore different representations for fractions. This applet allows students to create a fraction,then see it as a visual model, and as percent and decimal equivalents. They can choose the model to be a circle, a rectangle, or a set model. Intended for the young learner, this version restricts the numerator to values from 0 to 20, and the denominator to benchmark values of 1, 2, 4, 5, 8, 10 and 20.
This lesson fosters a student's conceptual fraction sense with proper fractions, improper fractions, and mixed numbers by placing thirty fraction cards in order between given whole numbers on a number line clothesline. Users will visually identify that all proper fractions are grouped between zero and one, and that improper fractions or mixed numbers are all grouped above one. Users also play an estimation game with groups using the same principle. Instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given.
This activity is an extension where students freeze a liquid, making ice cream.
This is the first semester in a two-semester introductory course focused on current theories of structure and mechanism in organic chemistry, their historical development, and their basis in experimental observation. The course is open to freshmen with excellent preparation in chemistry and physics, and it aims to develop both taste for original science and intellectual skills necessary for creative research.
This is a continuation of Freshman Organic Chemistry I (CHEM 125a), the introductory course on current theories of structure and mechanism in organic chemistry for students with excellent preparation in chemistry and physics. This semester treats simple and complex reaction mechanisms, spectroscopy, organic synthesis, and some molecules of nature.
Fundamentals of thermodynamics, chemistry, flow and transport processes as applied to energy systems. Analysis of energy conversion in thermomechanical, thermochemical, electrochemical, and photoelectric processes in existing and future power and transportation systems, with emphasis on efficiency, environmental impact and performance. Systems utilizing fossil fuels, hydrogen, nuclear and renewable resources, over a range of sizes and scales are discussed. Applications include fuel reforming, hydrogen and synthetic fuel production, fuel cells and batteries, combustion, hybrids, catalysis, supercritical and combined cycles, photovoltaics, etc. Different forms of energy storage and transmission. Optimal source utilization and fuel-life cycle analysis.
In this five lesson unit with overview from Illuminations, student activities explore relationships among fractions through work with the length model. Students construct fraction strips and use fraction bars throughout the unit to make sense of basic fraction concepts, to compare fractions and order fractions and to work with equivalency in fractions. Specific learning objectives, a material list, an instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson.
This unit from Illuminations consists of five lessons designed to help students understand fractions when they are represented as a part of a region. Learners investigate relationships between parts and wholes, the relative value of the fraction based on the pattern block shape and equivalency while working with physical and/or virtual pattern blocks. Instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson.