We discovered the difference between a statistic and a parameter. Univariate data can be represented by the mean, median, and mode, as well as by measures of variation. The mean absolute deviation is the average of the absolute values of the differences between the mean and each value in the data set. Variance is the square of the standard deviation. We reviewed symmetric, right and left skewed distributions of data and their meaning to prepare for a test on Friday.

We reviewed problems that were missed on a previous test. Then we practiced completing the square and solving radical equations. Next, we practiced graphing quadratic equations. We reviewed how to find the vertex of a parabola and the points where it crosses the x-axis. Then we reviewed the quadratic formula and when it is necessary.

We worked on determining median, percent, and quartiles from box and whisker plots. Then we worked on problems where we solved radical equations and completed the square.

We prepared for a test on Lessons 10-1 to 10-4. Hudson needed to review and practice section 10-1 Square Root Functions. We worked on graphing and analyzing linear, exponential, and quadratic functions. We graphed and analyzed dilations of radical functions. Then we graphed and analyzed reflections and translations of radical functions. Next, we named the domain and range of the square root function and each translation of the square root function. We reviewed and solved radical equations as well.

We prepared for a test on Lessons 10-1 to 10-4. The Product Property of Square Roots says that for any numbers greater than or equal to zero the square root of their product is equal to the product of each number’s square root. I had Hudson work on putting that to use in solving radical expressions. The Quotient Property of Square Roots says that when there is a radical expression in the denominator, the expression is not in simplest form. So, we performed a process called rationalizing the denominator which eliminates radicals from a denominator. I had Hudson practice this, too.

Lesson 10-3 Operations with a Radical Expressions – We completed the homework problems for Lesson 10-3 Operations with Radical Expressions. Hudson had difficulty with most of these problems. I sent him a few problems to do which reviewed the concepts from Lesson 10-2 Simplifying Radical Expressions – We reviewed the Product Property of Square Roots and the Quotient Property of Square Roots. We will work on a practice test on Wednesday.

Lesson 11-8 Rational Equations – We practiced solving rational equations and simplifying rational expressions to prepare for a quiz tomorrow. We practiced adding and subtracting rational expressions with unlike denominators. Then we solved rational algebraic equations and determined the extraneous solutions.

Lesson 11-8 Rational Equations – We practiced solving rational equations. We completed homework where we used the cross product to solve rational expressions when both sides of the equation are single fractions. Then we practiced solving rational equations by multiplying each side of the equation by the LCD to eliminate fractions. Next, we practiced determining which solutions make the denominator of a rational expression zero.

Lesson 11-8 Rational Equations – We learned how to solve rational equations. We practiced using the cross product to solve rational expressions when both sides of the equation are single fractions. Then we learned how to solve rational equations by multiplying each side of the equation by the LCD to eliminate fractions. Next, we learned how to determine which solutions are extraneous solutions. We reviewed the fact that any value of a variable that makes the denominator of a rational expression zero must be excluded from the domain. In the same way, when a solution of a rational equation results in a zero in the denominator, that solution must be excluded. These solutions are called extraneous solutions.

Lesson 11-6 Adding and Subtracting Rational Expressions – We practiced adding and subtracting rational expressions with unlike denominators. We learned how to add rational expressions with unlike denominators by using the least common multiple of the denominators to get equivalent expressions with a common denominator.
Lesson 11-7 Mixed Expressions and Complex Fractions – We learned how to use complex fractions to solve problems. We simplified complex fractions involving monomials and polynomials.