**Topic: **
| Function operations and function composition |

**Content: **
| function addition, subtraction, multiplication, division
function composition,
order of operations |

**Goals: **
| To remind student of what a function is. To show students how to add, subtract, multiply, and divide two different functions or a function to itself. To show students what composition means algebraically and pictorally. To show students how to compose two different functions or a function to itself. |

**Objectives:**
| 1)Give student the properties for function addition, subtraction, multiplication, and division. 2)Show students how to use these properties, and let them practice. 3)Remind students of what domain and range are. 4)Give students a definition of function composition. 5) Show students how to compose functions and let them practice. |

**Materials:**
| overhead, overhead markers, transparencies, whiteboard, whiteboard markers |

**Introduction:**
| Day 1: Teacher introduces the lesson by giving the students the different properties for addition, subtraction, multiplication, and division. Teacher also "
reminds" students of what domain and range are.
Day 2: Teacher provides a defintion of function composition. |

**Development:**
| Day 1: Teacher gives students examples that help them practice using the four different properties. These examples will also give students practice finding the domain of each function.
Day 2: Teacher gives students examples of composing functions (algebraically, and pictorally). Teacher also shows students how going one way is not necessarily the same as going the other way. |

**Practice:**
| Day 1: Ex.1: Add and subtract f(x)=-2x+6 and g(x)=5x-7
Ex.2: Multiply and Divide f(x)=(x^2)+1 and g(x)=2x-1
Day 2: Ex.1: Compose f(x)=(x^2) and g(x)=3x+1
Ex.2: Compose f(x)=(x^3) and g(x)= (x^2)+7 |

**Accommodations:**
| visual and verbal directions and explanations, different colors, different solution methods. |

**Checking For Understanding:**
| Teacher will have students work together, and then tell her how to solve the problem |

**Closure:**
| Teacher wraps up each lesson by giving the students the homework assignment. |