Ideas and activities that use Two of Everything, One Grain of Rice and the King's Chessboard to introduce students to function machines and input/output tables. Links to appropriate templates are also provided.
Two of Everything by Lily Toy Hong recounts a Chinese folk tale. The farmer finds a magic pot which doubles everything that is put into it. This humorous story is a great introduction to function machines and input/output tables as teachers make the transition to the "doubling pot" and recording information in an input/output table.
This award winning math site is searchable by grade level (6-8, 9-10, 11-12), course content and activities. It encourages:
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Multiplication by Heart - These beautiful flash cards use spaced repetition to teach multiplication facts. Achieve fluency with just five minutes of practice per day!
Activities - A selection of our favourite mathematical puzzles and problems. Most are simple to understand, but the solutions require clever and unconventional thinking.
Factris - A fun game that teaches about simple arithmetic
Course Library - Mathigon's innovative courses cover everything from fractions and trigonometry to graph theory, cryptography, prime numbers and fractals.
Puzzles, Activities and Lesson Plans - Student Explorations/Activities for students to complete ; Fully developed lessons plans ; Ready to play puzzles and games ; Teaching ideas using Polypad to explore new ideas; Tutorials - Learn how to use Polypad
Almanac of Interesting Numbers
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This site has excellent and rich math online and printable math resources for all ages. Online resources are interactive, offering hints, alternative questions of similar difficulty, correct answers, and rationale. includes a range of math skills from basic operations to calculus. The site offers digital versions of common math manipulatives for kids to play with online, such as counters, geoboards, dominoes, number frames, and pattern blocks.
For Early Childhood, K-12. Freely available.
Students obtain a basic understanding of microfluidic devices, how they are developed and their uses in the medical field. After conducting the associated activity, they watch a video clip and learn about flow rate and how this relates to the speed at which medicine takes effect in the body. What they learn contributes to their ongoing objective to answer the challenge question presented in lesson 1 of this unit. They conclude by solving flow rate problems provided on a worksheet.
In this task students are asked to write two expressions from verbal descriptions and determine if they are equivalent. The expressions involve both percent and fractions. This task is most appropriate for a classroom discussion since the statement of the problem has some ambiguity.
The purpose of this task is to emphasize the use of the Remainder Theorem (a discussion of which should obviously be considered as a prerequisite for the task) as a method for determining structure in polynomial in equations, and in this particular instance, as a replacement for division of polynomials.
This task assumes students are familiar with mixing problems. This approach brings out different issues than simply asking students to solve a mixing problem, which they can often set up using patterns rather than thinking about the meaning of each part of the equations.
The problem deals with a rational expression which is built up from operations arising naturally in a context: adding the volumes of the fertilizer and the water, and dividing the volume of the fertilizer by the resulting sum. Thus it encourages students to see the expression as having meaning in terms of numbers and operations, rather than as an abstract arrangement of symbols.
In Monster School Bus, students play a newly hired bus driver with a certain number of seats on the bus. The mission: to pick up each neighborhood’s little monsters and bring them to school – without dividing up groups (monsters don’t like that).
In early levels, each little monster takes up one seat and players combine integers to add up to 10. Each new neighborhood exposes learners to a more complex set of numbers, including decimals and fractions. The design of characters and locations gives the game an edgy look, and provides a more mature atmosphere to a game covering fairly juvenile content (e.g., buildings transform into punk Monster Buildings as a reward for picking up kids). This is important: though students learn this concept of number chunking in earlier grades, they often fail to understand it conceptually. Therefore, this content could turn off older students if they feel the game is “below them.” The edgy character design helps make the content feel more age-appropriate, and the graphical details impact gameplay and motivate players to visualize numbers as sets and quantities and think harder about relationships among numbers and number systems.
(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)
En este módulo, los estudiantes exploran y experimentan la utilidad de analizar los desafíos de álgebra y geometría a través del marco de las coordenadas. El módulo se abre con un desafío de modelado, uno que vuelve a ocurrir en las lecciones, para usar la geometría de coordenadas para programar el movimiento de un robot que está vinculado dentro de una cierta región poligonal del avión en el que se encuentra. Para establecer el escenario para un trabajo complejo en geometría analítica (coordenadas de cálculo de puntos de intersección de líneas y segmentos de línea o las coordenadas de puntos que dividen segmentos dados en relaciones de longitud específicas, etc.), los estudiantes describirán la región a través de sistemas de algebraico desigualdades y trabajo para restringir el movimiento del robot a lo largo de los segmentos de línea dentro de la región.
Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.
English Description:
In this module, students explore and experience the utility of analyzing algebra and geometry challenges through the framework of coordinates. The module opens with a modeling challenge, one that reoccurs throughout the lessons, to use coordinate geometry to program the motion of a robot that is bound within a certain polygonal region of the planethe room in which it sits. To set the stage for complex work in analytic geometry (computing coordinates of points of intersection of lines and line segments or the coordinates of points that divide given segments in specific length ratios, and so on), students will describe the region via systems of algebraic inequalities and work to constrain the robot motion along line segments within the region.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Whole numbers are no better than any others! Practice plotting values on the number line as a passionate activist rises up and demands equity for all numbers, including fractions and decimals.
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Two besotted rulers must embrace proportional units in order to unite their lands. It takes mathematical reasoning to identify the problem, and solution, when engineers from Queentopia and Kingopolis build a bridge to meet in the middle of the river.
The number of amazing video math tutorials available to you here will blow your mind!
There are hundreds and hundreds of videos to help you and your students or child perfect their "math game".
The videos are organized into these groups: algebra, arithmetic, calculus, differential equations, discrete math, linear algebra, probability and stats, trig and a misc category.
This simple conceptual task focuses on what it means for a number to be a solution to an equation, rather than on the process of solving equations.
Navigate the number line while diving amidst shipwrecks and sunken ruins. Will you find a pearl, or an old boot? Watch out for the electric eel! Pearl Diver teaches properties of numbers, how to plot numbers, how to visualize quantity on the number line, how to order numbers, and how to use the number line as a visual model for mathematical operations.
PhET Sims are now available in HTML5 as well!
Simulations can be sorted by subject area or grade. This is very helpful.
PhET is a collection of interactive computer simulations for teaching and learning physics, chemistry, math, and other sciences.
Simulations can be used directly on the site or downloaded and used that way.
The simulations are animated, interactive, and game-like environments where students learn through exploration. They emphasize the connections between real-life and the underlying science. These great activities help students visualize abstract concepts!
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