We study even and odd functions, as well as monotonic functions. We finished Chapter 15.
AoPS Algebra 2B, Lesson 13, Fall 2018, 12/16/2018
Math 9, Lesson 13, Fall 2018, 12/16/2018
Math 9, Lesson 12, Fall 2018, 12/09/2018
We review Set Language and Matrices.
A set is a well-defined collection of distinct objects. We talk about how to describe a set, the concept of an element, a subset, when two sets are equal. We also talk about the universal set, the empty set, the complement set for a set, the set union and intersection operations.
We talk about the Venn diagram to represent sets.
We also go over some more practice with matrices.
Homework: From the three page2 below: #1 – #5, #11 – #14, #15 – #17
AoPS Algebra 2B, Lesson 12, Fall 2018, 12/09/2018
We start a new chapter on special classes of functions. Today we study rational functions, which are any function that can be expressed as one polynomial divided by another. We then talk about rational function equations and inequalities.
Math 9, Lesson 11, Fall 2018, 12/02/2018
We spend more time on matrix multiplication by doing more practice questions.
Homework:
Workbook Page 23, #14 – #16, #20, #22 – #24. Please use Lesson 10’s homework pages for the questions.
AoPS Algebra 2B, Lesson 11, Fall 2018, 12/02/2018
We wrap up Chapter 14 by studying radical conjugates and doing more exercises.
Math 9, Lesson 10, Fall 2018, 11/18/2018
We study multiplication of a matrix by a scalar and multiplication of two matrices.
A matrix can be multiplied by a real number (usually called a scalar). If k is a scalar, then the scalar multiplication of a matrix A by k, denoted by kA, is obtained by multiplying every element of A by k.
Matrices multiplication is defined as follows:
If A is a matrix of order m x n and B a matrix of order n x p, then the product AB is a matrix of order m x p whose element at the ith row and jth column is the sum of the products of the corresponding elements in the ith row of A and jth column of B.
If the column number of A is not equal to the row number of B, then AB is undefined.
We introduce Identity Matrix of order n, which has 1 on its major diagonal line and 0 anywhere else..
Homework:
Workbook Page 21, #7, #10 – #12, #18, #19. Please use last lesson’s homework pages for the questions.
AoPS Algebra 2B, Lesson 10, Fall 2018, 11/18/2018
We start a new chapter today about radicals, or roots.
We explore some common methods for dealing with expressions with radicals.
AoPS Algebra 2B, Lesson 9, Fall 2018, 11/11/2018
We finish up the chapter on logarithms by studying advanced log to exponent exchange and by introducing natural logarithms.
AoPS Algebra 2B, Lesson 8, Fall 2018, 11/4/2018
We continue the study of logarithm. Today we go over logarithmic identities.
