Foundations:

Complete unit homework packet.

Anatomy:

Muscle packet is due tomorrow.

Geometry:

3.1 and 3.2 quiz is tomorrow. Unit test is on Friday 9/22.

http://www.mathwarehouse.com/trigonometry/sine-cosine-tangent-practice3.php

Problem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class.

Solution: Let g represent the number of groups in Ms. Jensen's class.

Then 2 · g, or 2g can represent "g groups of 2 students".

In the problem above, the variable g represents the number of groups in Ms. Jensen's class. A variable is a symbol used to represent a number in an expression or an equation. The value of this number can vary (change). Let's look at an example in which we use a variable.

Example 1: Write each phrase as a mathematical expression.

Phrase | Expression |

the sum of nine and eight | 9 + 8 |

the sum of nine and a number x | 9 + x |

The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a value that can change. If x is 2, then the expression 9 + x has a value of 11. If x is 6, then the expression has a value of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working solely with algebraic expressions.

Example 2: Write each phrase as an algebraic expression.

Phrase | Expression |

nine increased by a number x | 9 + x |

fourteen decreased by a number p | 14 - p |

seven less than a number t | t - 7 |

the product of 9 and a number n | 9 · n or 9n |

thirty-two divided by a number y | 32 ÷ y or |

In Example 2, each algebraic expression consisted of one number, one operation and one variable. Let's look at an example in which the expression consists of more than one number and/or operation.

Example 3: Write each phrase as an algebraic expression using the variable n.

Phrase | Expression |

five more than twice a number | 2n + 5 |

the product of a number and 6 | 6n |

seven divided by twice a number | 7 ÷ 2n or |

three times a number decreased by 11 | 3n - 11 |

Anatomy

**Anatomical motions**

What motions involve increasing or decreasing the angle of the foot at the ankle?