Lesson Plans – Algebra I Day Monday Tuesday Wednesday Objective Solve an equation in two or more variables for one of the variables. Plan Students will: - Go over homework as a whole class - Turn in their Quiz 1.5 and 1.7 corrections - Work on a review sheet with a partner that reviews sections 1.6 and 1.8 on Write and use ratios, rates and solving literal equations, unit rate problems, proportions and dimensional unite rates. Write and solve analysis. proportions. Write and solve proportions. Students will: (Section 1.8 and 1.9) - Go over homework as a whole class - Take a short quiz on solving literal equations. (6 question quiz) - Work on solving more difficult proportions by handing out a worksheet and working through one or two examples as a whole class and then letting students work with a partner so that I can help those who are struggling. - This worksheet will also address some proportion problems from section 1.9. For example, students will complete shadow problems where they will have the find the height of a person or length of a shadow using a proportion. Homework Finish review sheet on 1.6 and 1.8 Use proportions to solve problems involving geometric figures. Students will: (Section 1.9) - Go over homework as a whole class. - Take notes on finding lengths of missing sides of similar figures. - Take notes on changing dimensions given information on lengths or perimeters and using ratios to determine the area or surface area and value of a figure or solid. Pg 72 # 2 – 10 All Students will: (Section 1.9) - Go over homework as a whole class. - Have students complete practice problems on section 1.9 by completing a pass the problem activity. This activity will allow students to complete different types of problems including setting up proportions to solve shadow problems, finding the missing length of a side of a similar figure and changing dimensions using ratios. There will be one problem per page and each page will be inside of a page protector so that students can use a dry erase marker to work them out. The answer will be on the back so that they can easily check if they are correct. When a student is finished, then they will pass a problem on to the next person. Students may work in pairs. I will work with a small group of students who are struggling to help them through the problems step by step as a way to differentiate instruction. Pg 73 #11 – 19 ALL, 21, 22, 24 Use proportions and similar figures to measure objects indirectly. Thursday 9/23/13 – 9/27/13 Use proportions to solve problems involving geometric figures. Use proportions and similar figures to measure objects indirectly. Finish worksheet Friday Analyze and compare measurements for precision and accuracy. Choose an appropriate level of accuracy when reporting measurements. Students will: (Section 1.10) - Go over homework as a whole class - Take notes on precision and accuracy by first defining those two words and then completing examples to better illustrate what precision and accuracy is and the difference between the two. Pg 78 #3 – 18 All Lesson Plans – Precalculus 9/23/13 – 9/27/13 Day Monday Objective Review sequences, series and summations. Plan Students will: (Section 9.1 and 9.2) - Go over homework as a whole class. - Students will work through example word problems that involve arithmetic sequences and series and mathematical problems involving summations using a pass the problem activity. They will be given a problem per page in a sheet protector that they can write on with dry erase markers. The answer to the problem will be on the back. Students may work in pairs to complete the problems and I will walk around to help those who are struggling. When a pair of students complete their problem, they will work on another problem. - Review for a quiz on Tuesday on section 9.1 and 9.2 Homework Complete review sheet on 9.1 and 9.2 Tuesday Take assessment on sequences, series and summations. Students will: (Section 9.1 and 9.2) - Go over homework as a whole class. - Take assessment on sections 9.1 and 9.2 on sequences, series and summations. No Homework Wednesday Define a geometric sequence and write a formula to find the nth term of a geometric sequence. Students will: (Section 9.3) - Take notes that will define a geometric sequence. - We will review exponential functions by looking at how they are written and recognizing when to use them given a sequence of numbers. - We will then use a formula for writing exponential functions to find a function that would produce the sequence of numbers. Pg 682 #2 – 10 even, 11, 15, 19, 21, 27, 29, 31 Thursday Develop and use the formula for finding the sum of a finite and an infinite geometric series. Students will: (Section 9.3) - Go over homework as a whole class - Develop the sum formula for finite geometric series. - Develop the sum formula for infinite geometric series. - Use the sum formula to solve several examples with partners Pg 683 #37 – 45 odd, 61 – 69 odd Friday Solve real world examples using geometric sequences and series. Students will: - Solve real world problems by first writing a function for a geometric sequence or finding the sum of a geometric series. - Students will be introduced to a geometric sequence/series project. Students will complete a project that involves Koch’s Curve. Using geometric sequences and series one can prove that the perimeter of Koch’s curve is infinite but the area under the curve is finite using the ideas we have discussed in class. I will introduce the activity to students and get them started. They will then have time to work through the first part of the activity with a partner in class. Pg 683 #33, 35, 59, 60, 73,