Algebra+S2

**Semester 2 Semester 1**
**Chapter 5**

**In this chapter you will**


 * **learn to solve systems of linear equations**
 * **solve systems using the substitution method**
 * **solve systems using the elimination method**
 * **solve systems using matrices**
 * **graph inequalities in one and two variables**
 * **solve systems of linear inequalities**

5.1 The students will
 * Learn about solving systems of equations.
 * Model real-world situations with systems of two equations
 * Solve systems of two linear equations using tables and graphs
 * Understand that the intersection of the two lines provides a solution to the system and thus to the real-world problem

5.2 The students will >> 5.3 The students will
 * Learn about s olving systems of equations using substitution.
 * Understand the limitations of solving systems graphically
 * Solve systems of linear equations using substitution
 * Learn about solving systems of equations using elimination.
 * Solve systems of linear equations in two variables by eliminating one variable
 * See more examples in which two linear equations can model real-world situations

5.4 The students will
 * Learn about solving systems of equations using matrices
 * Represent a linear system with a matrix
 * Use the method of Gaussian elimination for solving systems of linear equations
 * Use the calculator to solve systems of linear equations.

5.5 The students will
 * Learn about inequalities in one variable
 * Write and solve one-variable inequalities and interpret the results based on real-world situations
 * Graph solutions to one-variable inequalities on a number line, showing whether they are strict inequalities
 * Interpret an interval graphed on a number line as an inequality sentence
 * Learn the sign-change rule for multiplying or dividing both sides of a one-variable inequality by a negative number.

5.6 The students will
 * Learn about graphing inequalities in two variables
 * Solve two-variable inequalities for // y //
 * Graph inequalities on the coordinate plane and show the solutions as the intersection of two half-planes
 * Interpret graphs of half-planes and write corresponding inequalities

5.7 The students will
 * Learn about systems of inequalities
 * Solve systems of inequalities by graphing
 * Interpret the mathematical solutions in terms of the problem context
 * Write inequalities to represent constraints in application problems

**Chapter 6**

**In this chapter you will:**


 * **write recursive routines for nonlinear sequences**
 * **learn an equation for exponential growth or decrease**
 * **use properties of exponents to rewrite expressions**
 * **write numbers in scientific notation**
 * **model real-world data with exponential equations**

6.1 The students will
 * Learn about recursive routines.
 * Begin to investigate geometric sequences using recursive routines
 * See examples of growth and decay that can be modeled recursively.

6.2 The students will
 * Learn about exponential equations.
 * Explore exponential growth and decay patterns
 * Discover the connection between recursive and exponential forms of geometric sequences.

6.3 The students will
 * Learn about multiplication and exponents.
 * Review or learn the multiplication property of exponents
 * Review or learn the power properties of exponents.

6.4 The students will
 * Learn about scientific notation for large numbers.
 * Write in scientific notation numbers far from zero
 * Rewrite in standard notation numbers that are in scientific notation
 * Learn how calculators represent scientific notation.

6.5 The students will
 * Learn about looking back with exponents.
 * Review or learn the division property of exponents.

6.6 The students will
 * Learn about zero and negative exponents.
 * Investigate the meaning of nonpositive exponents
 * Write a number with a negative exponent in a form that has a positive exponent and write a number with a positive exponent in a form that has a negative exponent
 * Write in scientific notation numbers close to zero.

6.7 The students will
 * Learn about fitting exponential models to data.
 * Write exponential equations that model real-world growth and decay data.

6.8 The students will
 * Learn about decreasing exponential models and half-life.
 * Write exponential equations that model real-world decay data.

**Chapter 7**

**In this chapter you will**


 * **learn how to determine whether a relationship is a function**
 * **graph functions of real-world situations**
 * **learn about function notation and vocabulary**
 * **learn the absolute value and squaring functions**

7.1 The students will
 * learn about functions, relations, domain, and range

7.2 The students will
 * learn about the vertical line test for functions

7.3 7.4  7.5  7.6

**Chapter 8** **Chapter 9**