Lesson Plans – Algebra I Day Monday Tuesday Wednesday Objective Take assessment on solving equations with variables on both sides and absolute value equations. Solve a formula for a given variable. Solve an equation in two or more variables for one of the variables. Solve a formula for a given variable. Solve an equation in two or more variables for one of the variables. 9/16/13 – 9/20/13 Plan Students will: - Go over homework as a whole class - Take quiz on sections 1.5 and 1.7 Homework No homework Students will: (Section 1.6) - Students will take notes where they will complete the following: - Define a literal equation to be an equation with more than one variable. - Solve for a specified variable given a literal equation. Pg 51 #2 – 9 All Students will: (Section 1.6) - Go over homework as a whole class. - Complete practice problems on solving literal equations on the white boards. - Students will take a formative assessment on clickers over solving for a specified variable in a literal equation. Pg 51 #8 – 19 All, 30,36, 37 Thursday Write and use ratios, rates and Students will: (Section 1.8) unite rates. Write and solve - Go over homework as a whole class. proportions. - Take notes on the following items: - Define: ratio, rate and unit rate. - Students will practice writing ratios given different scenarios in their notes - Students will determine a unit rate given different scenarios in their notes - Students will use dimensional analysis to convert from one set of units to another set of units by completing examples in their notes. Pg 65 #2 – 9, 21, 23, 25 Friday Write and use ratios, rates and Students will: (Section 1.8) unite rates. Write and solve - Go over homework as a whole class proportions. - Take notes on the following items: - Define: proportions - Students will practice solving simple proportions with a variable on one side of the equal sign. - Students will practice solving more difficult proportions with variables on both sides of the equal sign. - Students will solve real world examples by first setting up a proportion to model the given situation and then solving. Pg 66 #27 – 33 odd, 39, 41, 45, 49, 53, 55 Lesson Plans – Precalculus 9/16/13 – 9/20/13 Day Monday Objective Identify a pattern given a sequence of numbers. Plan Students will: (Section 9.1) - Work on a partner activity. They will be given 8 sequences of numbers and they have to determine the pattern among those numbers. Students will then share out their findings. - Take notes on defining what a sequence is and will be given an examples on how to create a sequence. - Start to work with arithmetic sequences given a scenario. The problem states that one table seats four people, two tables seat 6 people, how many tables would seat 40 people. Students must solve this problem in any way they choose. We will discuss how to use an equation to solve this. Homework Pg 662 #1 – 11 odd Tuesday Write a function to model or produce an arithmetic sequence. Students will: (Section 9.2) - Go over homework as a whole class. - Define an arithmetic sequence in our notes. - Discuss the notation used to write and model an arithmetic sequence - We will relate this notation to point-slope form and slope-intercept form of writing linear functions - Complete examples given different sets of information. Students will write a formula to find the nth term of the sequence given the first term and the common difference or given two different terms in the sequence. Pg 674 #2 – 5, 25, 27, 29, 37, 39 Wednesday Write a recursive formula and use it to produce terms in a sequence. Students will: (Section 9.1) - Go over homework as a whole class. - Define a recursive formula in our notes and give examples of what a sequence looks like when created from a recursive formula. Also, write a recursive formula given terms in a sequence. - Define sigma notation and practice finding the sum of series using sigma notation. We will also define lower and upper bound. Pg 662 #17, 18, 39, 41, 43, 49, 51 – 57 odd Students will: (Section 9.2) - Go over homework as a whole class - Develop the sum formula for arithmetic series through the use of an example. - Use the sum formula to solve real world problems given in their notes. Students will: - Review the topics covered Monday – Thursday as stated above by working through a review sheet in class. Pg 674 #43, 45, 47, 49, 53, 57, 60, 67, 69, 71, 73 Define sigma notation and use it to find the sum of an arithmetic series. Thursday Develop and use the formula for finding the sum of an arithmetic series. Friday Review arithmetic sequences, recursive formula and arithmetic series. Review Worksheet