All of these things take time away from production. The consequence is that the shop floor leadership — the ones who have to deal with the consequences of disrupted production — will look at takt time as a nice theory, or a way to express a quota, but on a minute-by-minute level, it is pretty useless for actually pacing production. All because it was oversimplified.

Each pair of students will need a copy of each of the three versions of the game. It is important to prepare these in advance, as the 10 cards in each game set need to be cut out prior to play.

If possible, copy each game set onto a different color of paper. This will help keep the different versions of the game separate from each other. Ask students to work in pairs. Distribute Expression Matching Game 1 and introduce Game 1 as follows.

The matching game consists of 10 cards. Five of the cards have a word phrase on them, and five have a mathematical phrase or expression on them.

The goal is to match each word phrase with the corresponding mathematical expression. To begin, put all 10 cards on your table with the writing showing.

Work together to find all of the matching sets of cards. Remind students that the order of a subtraction problem is important.

Now, distribute Expression Matching Games 2 and 3 to each pair of students. For Game 2, you may want to suggest students place the 10 cards so the writing cannot be seen. Students may then take turns flipping over two cards. If the two cards they uncover are a match, they keep that pair of cards.

The student with the most matches when the game is over is considered the winner. A third Expression Matching Game is also provided. The difficulty increases slightly from Game 2 to Game 3.

With 5 to 8 minutes left in the class period, distribute an index card to each student. Ask students to write a mathematical expression to represent this phrase. Review the exit slips before the next class period to identify common errors students are making and specific students that need extra support.

Use the following strategies and activities to meet the needs of your students during the lesson and throughout the year.

To refresh students on lesson concepts during the year, try Video Tutorial—Interpreting Numerical Expressions. A video tutorial is provided at this site. Students can practice writing and interpreting expressions using this online activity: Students ready for an additional challenge will find this Web site helpful.

This online activity engages students in writing equations, not simply expressions as in this lesson: Video playback may not work on all devices.Imaginary numbers always confused me.

Like understanding e, most explanations fell into one of two categories. It’s a mathematical abstraction, and the equations work out. Deal with it.

It’s used in advanced physics, trust us. Online homework and grading tools for instructors and students that reinforce student learning through practice and instant feedback. Definition. A matrix is a rectangular array of numbers or other mathematical objects for which operations such as addition and multiplication are defined.

Most commonly, a matrix over a field F is a rectangular array of scalars each of which is a member of F. Most of this article focuses on real and complex matrices, that is, matrices whose elements are real numbers or complex numbers.

Remember that when you write a system of equations, you must have two different equations. In this case, you have information about the number of questions AND the point value for each of the questions. The MESSENGER Team is composed of many different individuals, with a wide variety of roles and responsibilities.

Scientists and engineers from across the country .

Start studying Write the equation that represents the situation.. Learn vocabulary, terms, and more with flashcards, games, and other study tools.

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