MAT 117 /MAT117 Course Algebra 1B Weeks 1 – 9 All Discussion Questions Week 1 DQ 1 1. What four steps should be used in evaluating expressions? 2. Can these steps be skipped or rearranged? Explain your answers.3. Provide an expression for your classmates to evaluate. Week 1 DQ 21. Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. 2. In what situations would distribution become important?3. Provide an example using the distributive property for your classmates to solve or evaluate. Week 1 DQ 3 What is the difference between solving and evaluating?Provide a detailed example of both.Provide one example for your classmates to solve and one for them to evaluate. …show more content…
Week 7 DQ 11. Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0, may have how many solutions?2. Explain why.3. Provide an example for your classmates where they have to figure out how many solutions a quadratic has. Week 7 DQ 21. What is the quadratic formula?2. What is it used for?3. Provide an example, not found in the text. Week 7 DQ 3Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand? Week 8 DQ 11. Write an original word problem involving a quadratic function. 2. How would you explain the steps in finding the solution to someone not in this class? (Meaning, work out and explain your own example)3. Provide an original problem for your classmates to solve. Week 8 DQ 21. What is the relationship between exponents and logarithms? 2. How would you distinguish between the two, using both a graph and a sequence?3. Provide an example for your classmates to solve using logarithms. Week 8 DQ 3Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why for the easiest and most difficult. Week 8 DQ 4Is the compound interest formula—such as would be used to calculate a car loan—an
Algebra is not an easy subject for many people. It is full of letters, numbers, and rules mixed together to represent real life problems that are hard to swallow for anyone who doesn’t look at the world from the perspective of a mathematician. In his essay, “Wrong Answer: A Case Against Algebra II”, Nicholson Baker addresses this problem and explains why he thinks Algebra II should not be seen as a staple in the education of High school students.
Assessment: I will observe student behavior during their discussion and during the creation of their self-portrait. Also, I will assess students’ ability to come up with 10 positive
A-APR.1 Understand that polynomials form a system analogous to the integers, namely that they are closed under the operations of addition, subtraction and multiplication; add, subtract, and multiply polynomials. This particular unit is important because the skills learned helps lay the foundation to all of the mathematical concepts learned in Algebra 1.
To conclude we showed how use the Radical Formulas in each problem that we were working. We broke out each step so that we would have a better time understanding how one would answer this question. We have shown our work in hopes that other will be able to follow these same steps to find their solutions. We now have a better understanding of the Radical Formulas.
a. Solve problem 56 on page 437 of Elementary and Intermediate Algebra. Set up the two ratios and write your equation choosing an appropriate variable for the bear population.
Students reviewed order of operations (PEMDAS) during the warm up problem. During small group work, the students reviewed the steps for solving proportion problems.
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Her strengths in Alg. 2 are solving many different types of multi-step equations. She demonstrates the ability to solve equations polynomials and radicals. During the second quarter, Sharnae's average scores on assessments pertaining to
Completing the square is use to prove the quadratic formula. Given ax^2+bx+c=0 we first have to make the coefficient of x^2 to be one. We divided the original formula by a: x^2+b/c x+c/a=0/a since 0/a we still have our quadratic equation. Subtract that c/a in both sides: x^2+b/c x+c/a-c/a=-c/a remember that b/a is b/2(a) now we will have to add it to the root of two: x^2+b/a x+b^2/(4a^2 )=b^2/(4a^2 )-c/a next is to set up our denominators to be the same we should have (x+b/2a)^2=b^2/(4a^2 )-4ac/(4a^2 ) now that our denominators are the same we need to combine like terms: (b^2-4ac)/(4a^2 ) in this step it resembles somewhat a part of the quadratic formula but we still missing more steps. Now grab the x+b/2a and subtract the b/2a also put the
In mathematics, function is defined as a relationship, or more of a correspondence between the set of input values and the set of output values. Also, a rule is involved, or as it may be referred to, a ‘set of ordered pairs’ that assigns a unique output for each of the input. The output correspondence is usually defined as f and the output is x. The correspondence is denoted as f(x). All functions are mainly defined by two factors, as was mentioned before, set of inputs - which are called arguments; and outputs - which
6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
With a partner or by yourself, come up with five addition word problems and solve them in your math journal.
Write a response for each of these activities. At the end of the lesson, click the link on the final screen to open the Student Answer Sheet. Use the sample answers to evaluate your own work.
She is not ready to work on her own yet for this concept. The reteach assignment provides a graphic organizer of organizing the word problem into the information they need to know to solve the problem. Then, the graphic organizer moves towards an explanation of the steps in solving the word problem by drawing a diagram. She can refer back to this graphic organizer when she has a question on the next step of solving fractions.