Algebra 1B: Unit Lesson Plan (Semester 2)

UNIT LESSON PLAN

Semester 2

Instructor:______________________	Subject: Algebra I Part II	Room #:_____________________
SSS = Sunshine State Standard	SPS = Student Performance Standard	WC = Workforce Competency

Date	SSS#	SPS#	WC# Goal 3 Standard	Content Statement	Performance Descriptors	Assessment Method
week 1	MA.A 5.4.1	3.23 3.19	3,4,7,10	Applies special number relationships such as sequences and series to real-world problems.	Determines the value of an investment over a period of time using the formula, given the following context: In 1626, Peter Minuit purchased Manhattan Island for $24 in cash and invested it in a savings account paying 6% compounded annually, the student determines how much would they have on deposit after 5 years, 10 years, etc. The student uses spreadsheet to determine the value of the investment in the current year.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 2	MA.B 3.4.1	3.21	2,3,4,6	Solves real-world and mathematical problems involving estimates of measurements, including length, time, weight/mass, temperature, money, perimeter, area, and volume, and estimates the effects of measurement errors on calculations.	Given that the donut costs $3.59 a dozen and donut holes are $2.29 for 30, the student in a small group compares the price of a donut to a donut hole to determine the better buy, based on price per cubic inch of each. The student explains the process used to approximate the volume. Then the student uses the price per cubic inch of the donut hole to re-price the donut and the price of the donut per cubic inch to re-price the donut hole. The student discusses the effects on prices of using an "estimated" volume.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 3	MA.B 1.4.2	3.22	2,3,4,8	Uses concrete and graphic models to derive formulas for finding rate, distance, time, angle, measures, and arc lengths.	Uses computer graphics programs to explore relationships between arc lengths and angle measures, makes a conjecture about that relationship, then verifies the conjecture through comparisons with classmates.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 4	MA.B 1.4.3	1.04	3	Uses the concepts of measurement to similarity and proportionality in real-world situations.	Uses ratio and proportion to find distances that are difficult to measure directly. Example: Using a scale map of the United States, calculates distances to and from selected cities.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 5	MA.B. 2.4.2	3.22	3	Solves real-world problems involving rated measures (miles per hour, feet per second).	Determines how many seconds it takes the bungee jumper to fall 200 feet if the rate of fall is about 120mph.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 6	MA.A. 3.4.2 MA.A 4.4.1	1.01 1.03	2,3	Selects and justifies alternatives strategies, such as using properties of numbers, including inverse, identity, distributive,associative,and transitive,that allow operational shortcuts for computational procedures in real-world or mathematical problems	Uses and identifies appropriate properties to explain a procedure that could be used to mentally compute a problem such as (⁵/₃800)t.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 7	MA.C 3.4.1	1.04 1.05	2,3,6,8	Represents and applies geometric properties and relationships to solve real-world and mathematical problems including ration, proportion, and properties of right triangle trigonometry.	Applies right triangular trigonometry to solve a problem. Example: The windows of a house are to be built so that eaves complete shade them from sun in the summer and allow full sun in the winter. The eaves have an overhang of 3.5 feet. The sun in midwinter is at an angle of elevation of 25 degrees and the sun in midsummer is at an angle of elevation of 70 degrees. The student describes the required location and length of the window.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 8	MA.C 3.4.2	3.8 3.11 4.06	2,3,4,6,8	Using a rectangular coordinate system (graph), applies and algebraically verifies properties of two and three dimensional figures, including distance, midpoint, slope, parallelism, and perpendicularly.	Describes the classroom in terms of a coordinate system. The student assigns variable coordinates to the corners, such as (a,0), (a,b), (0,a). The student then uses these coordinates to find quantities such as the length of the wall or the midpoint of the floor. The student also uses these to prove all cases of parallelism and perpendicularly and verifies by measuring.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 9	MA.D. 1.4.1	2.01 4.02	1,2,3,4,5,8,9	Describes, analyzes, and generalizes relationships, patterns, and functions using words, symbols, variables, tables, and graphs.	Analyzes graphs. Example: The human body uses energy, measured in calories, at varying rates according to the level of activity, the body burns more calories during physical exercise than when at rest. A person's size, physical condition, metabolic rate, and other factors make calorie consumption ver individual. When describing calorie consumption for a particular activity, average calorie consumption is used. In a local newspaper an article claimed that walking requires the same amount of energy as dancing. The claim was supported by graphs. Due to a printer's error, the titles, labels, and scales were unreadable. The student completes the graphs in a manner that supports the claims. The student completes the graphs in a manner that is more consistent with true calorie consumption. The student then writes a description of the two versions of the graphs	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 10	MA.D 1.4.2	2.03 2.04 4.04	1,2,3,4,7,8	Determines the impact when changing parameters of given functions.	Investigates the impact on a function when a constant is changed: compares the cost of purchasing a $75,000 house at 6% interest over 15 years and 30 years. compares the cost of purchasing a $75,000 house over 30 years at 6% and 8% interest.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 11	MA.D 2.4.1 MA.D 2.4.2	2.05 2.06 2.07 2.08 2.09 2.10 3.01 3.02 4.05 4.06	2,3,4,7,8	Represents real-world problem situations using finite graphs, matches, sequences, series, and recursive relationships.	Given the following information: according to the Rand McNally Road Atlas the population of Florida was about 13 million in 1990 and the average annual growth rate was 3.3%. write a recursive formula for the sequence of the annual population growth in Florida estimate the population in the year 2010 discuss reasons why this estimate might not be accurate.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 12	MA.E 1.4.1		1, 2, 3, 4, 6, 7, & 8	Interprets data that has been collected, organized, and displayed in charts, tables, and plots.	Select types of stocks. The student collects data about the stock, such as the price of the stock and the number of shares sold, over a period of time. The student graphs data, and uses the graph to compare and contrast different stocks.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 13	MA.E 1.4.2		2, 3, 4	Calculates measures of central tendency (mean, median, and mode) and dispersion (range, standard deviation, and variance) for complex sets of data and determines the most meaningful measure to describe the data.	Prepares a statment describing the effect of a 3.8% raise to all employees on both the mean and the standard deviation of both expenses and profit.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 14	MA.E 1.4.3		2,3,4,7,8	Analyzes real-world data and makes predictions of larger populations by applying formulas to calculate measures of central tendency and dispersion using the sample population data and using appropriate technology, including calculators mad computers.	Contsructs spreadsheets on graphing calculators or computers using real-world sample data sets. The student makes predictions of larger populations by applying formulas in the spreadsheets to calculate measures of central tendencies and dispersion using the sample population data.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 15	MA.E 2.4.1		2,3,4	Determines probabilities using counting procedures, tables, tree diagrams, and formulas for permutations and combinations.	Uses tree diagrams to organize data for possible outcomes with real world data. Example: The class is going to order pizza for a celebration of success at the end of the year. The student determines how many possible combinations there are given the choice of shape, crust, and 3 toppings.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 16	MA.E 2.4.2		2,3,4	Determines the probability for simple and compound events as well as independent and dependent events.	Determines probability within a context. Example: The pictures below are dart targets. For a competition the student gets to choose which one to use. The object of the competition is to see how many darts can be landed in a shaded region. The student determines which gives he greatest probability of hitting a shaded area explains the choice.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 17	MA.E 3.4.1		1,2,3,4,6 7,8,9,10	Designs and performs real-world statistical experiments that involve more than one variable, then analyzes results and reports findings.	Designs an experiment, collects all the data, and makes a presentation to address a real problem. Example: A new radio station is interested in opening in the student's area. The radio station's owners have commissioned the student to tell them whether or not this area needs a station like theirs. The student designs an experiment, collects the data, and makes a presentation that shows there is need for this particular station in town.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test
week 18	MA.E 3.4.2		1,2,3,4,6 7,8,9,10	Explains the limitations of using statistical techniques and data in making inferences and valid arguments.	Finds the latest population reports for her or his city and explains: whether or not this information is an accurate count of the population or a close estimate; some assumptions one should make in interpreting the number.	verbal responses, independent modeling activities, worksheets, enrichment masters, quizzes, test

Technology Skills Used :
computer and software, calculators, videos

ESOL Strategies used:

Reinforcement of Mathematics Skills:
Oral drills, worksheets correlated with topics, group practice, unison response

Reinforcement of Writing:
Writing during tech prep applications and math labs.