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.

Hands-on, project based learning for Grades 4 to 8. Students use design thinking processes to solve engineering challenges. These space engineering themed lessons will engage students as they apply creative problem-solving skills. Resource includes a full downloadable guidebook. The guidebook includes a description of the design process, 5 design challenges, student handouts, and rubrics. It also includes links to other valuable resources and connection to standards (i.e. Next Generation Science, National Standards).

In this math lesson, learners use two colors of beads to form two different percent mixes, and then form a final mix using scoops from the two mixes. From this, learners will develop and use a formula to determine the final percent mix from two source mixtures. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

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.

This lesson unit is intended to help you assess how well students use algebra in context, and in particular, how well students: explore relationships between variables in everyday situations; find unknown values from known values; find relationships between pairs of unknowns, and express these as tables and graphs; and find general relationships between several variables, and express these in different ways by rearranging formulae.

This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.

(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 plane—the 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.

This Illuminations brainteaser activity promotes algebraic thinking and reasoning skills. Each letter of the alphabet has been assigned a numerical value. Solvers use given sums of the letter values of 29 names to deduce the individual values. Solvers are asked to find the value of their own names and may use an interactive applet to test their solutions.

See how the equation form of Ohm's law relates to a simple circuit. Adjust the voltage and resistance, and see the current change according to Ohm's law. The sizes of the symbols in the equation change to match the circuit diagram.

See how the equation form of Ohm's law relates to a simple circuit. Adjust the voltage and resistance, and see the current change according to Ohm's law. The sizes of the symbols in the equation change to match the circuit diagram.

This activity involves using orienteering to gain understanding of vector addition and finding the resultant vector.

This interactive pan balance allows students to enter numeric or algebraic expressions and investigate the important concept of equivalence as well as practice arithmetic and algebraic skills. Users place an expression in each of the red and blue pans. These expressions may or may not include the variable x. If the expression is algebraic, a value for x is entered or adjusted by moving the slider. As the value of x changes, the results will be weighed and graphed. Instructions and exploration directions and questions are included.

This Java tool is used to strengthen student understanding of equality and computation of numerical expressions. The applet also helps students understand that equality is a relationship, not an operation. After entering an expression in both the red and blue pan, the pans will move up and down depending on which expression is greater. When the expressions are equivalent, the pans will balance and the full equation will be entered into the Balanced Equations table. Instructions and exploration directions and questions are included.

This Java applet allows children to explore a balancing tool and thus build their algebraic thinking about equivalency. By placing shapes on each side of the balance and finding equivalent sets of weights, students discover the weight of each shape in one of six built-in sets or a random set.

This five lesson Illuminations unit gives students an opportunity to create and analyze numeric and geometric patterns with particular emphasis on growing patterns. The lesson titles are respectively, What's Next?, Patterns On Charts, Growing Patterns, Exploring Other Number Patterns and Looking Back And Moving Forward. Each lesson includes learning objectives, material list, instructional plan, linked resources and assessment options.

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.

In this math game, learners attempt to solve a puzzle involving five dice. By deciphering the non-standard pattern in the dice, learners use problem solving and strategy skills. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions. There is an online simulation of the game that is part of this resource.

This task requires students to answer questions about the structure of an expression.