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.

7.EE.B.3  Solve real-life mathematical problems using numerical and algebraic expressions and equations.8.EE.A  Work with radicals and integer exponents.8.G  Understand and apply the Pythagorean TheoremG-GMD  Visualize relationships between two-dimensional and three-dimensional objectsG-MG  Apply geometric concepts in modeling situations  

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.

" This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations. In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods."

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.

Student groups work with manipulatives—pencils and trays—to maximize various quantities of a system. They work through three linear optimization problems, each with different constraints. After arriving at a solution, they construct mathematical arguments for why their solutions are the best ones before attempting to maximize a different quantity. To conclude, students think of real-world and engineering space optimization examples—a frequently encountered situation in which the limitation is the amount of space available. It is suggested that students conduct this activity before the associated lesson, Linear Programming, although either order is acceptable.

This is a marketing plan that students can develop for something they are interested in making/selling.  This was used at our school when our tech ed department was having the students make prototypes.  Then in the math department we had them use these materials to make a marketing plan to see if the price they wanted to sell their prototypes was reasonable.  They are able to find how long it will take for them to start making a profit and are able to make adjustments along the way.

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.