HADDONFIELD PUBLIC SCHOOLS Curriculum Map for Functions, Statistics and Trigonometry September 5 Days Targeted NJ Core Curriculum Content Standards: N-Q.1, N-Q.2, N-Q.3, A-CED.1, A-REI.1, A-REI.3 Enduring Understandings: Some basic math skills are required to be reviewed in preparation for the course. Essential Questions: How can we apply the skills learned to future concepts? Fractions Proportions Rounding Percentages Students will practice simplifying fractions and doing different operations with fractional values Students will solve equal proportions Students will practice rounding to different place values Interdisciplinary Connections white board presentations independent practice Basic quiz April 2012 1
TI 83 Plus, LCD Projector HADDONFIELD PUBLIC SCHOOLS Students will practice working with percentages Students will apply knowledge of percentages to real world applications September/ October 30 Days Targeted NJ Core Curriculum Content Standards: N-Q.1, N-Q.2, N-Q.3, S-ID.1, S-ID.2, S-ID.3, S-IC.1, S-IC.2, S-IC.3, S-IC.6 Enduring Understandings: Technology can be used to explore patterns and trends within data sets. The result can be used to draw conclusions regarding the sets of data. Essential Questions: How can the collection of data be organized to answer questions? April 2012 2
Chapter 1 Making sense of data 1.1 Collecting data 1.2 Tables and graphs 1.3 Other displays 1.4 Measures of center 1.5 Quartiles, percentiles and box plots 1.6 Histograms 1.8 Variance and standard deviation TI 83 Plus, TI View Screen, Excel, LCD Projector Define and identify data, statistics, population, sample and variable Use the capture-recapture method to estimate population size Discuss and draw tables, pie charts, bar graphs, back to back stem & leaf plots, scatter plots, line graphs, frequency distributions, and histograms Find the measures of center mean, median and mode Find the measures of variation range, standard deviation and variance Find quartiles, 5-number summaries, IQR and outliers Draw a box plot Compare two data sets HADDONFIELD PUBLIC SCHOOLS Interdisciplinary Connections White board presentations. Data explorations Independent Practice 1.1-1.3 Quiz 1.4 1.8 Quiz Chapter 1 Test April 2012 3
HADDONFIELD PUBLIC SCHOOLS October/ November 9 Days Targeted NJ Core Curriculum Content Standards: N-Q.1, N-Q.2, N-Q.3, A-CED.1, A-CED.2, A-CED.3, A-REI.3, F-LE.1, F-LE.3, S-ID.5, S-ID.6, S- ID.7, S-ID.8, S-IC.1, S-IC.2, S-IC.3, S-IC.6 Enduring Understandings: Technology can help us to determine the strength and equation which models a relationship between two variables. The result of an investigation can be used to support an argument. Essential Questions: How can the collection of data be organized to answer questions? How can one determine if there is a meaningful relationship between two quantitative variables? Interdisciplinary Connections Chapter 2 Functions and Discuss correlation. White board presentations. Chapter 2 Test models Find and interpret r. Data explorations 2.1 The language of functions Determine the line of best fit. Independent Practice 2.2 Linear models Discuss the coefficient of 2.3 The line of best fit determination. 2.5 Correlation Use the model of best fit to 2.6 Quadratic models make predictions. 2.7 Finding quadratic models Find linear and quadratic regression equations using the April 2012 4
calculator TI 83 Plus, TI View Screen, LCD Projector HADDONFIELD PUBLIC SCHOOLS November January 30 Days Targeted NJ Core Curriculum Content Standards: N-Q.1, N-Q.2, N-Q.3, S-CP.1, S-CP.2, S-CP.3, S-CP.5, S-CP.6,S-CP.7, S-CP.8, S-CP.9, S-MD.1, S-MD.2, S-MD.3, S-MD.4 Enduring Understandings: Experimental probabilities approach theoretical probabilities as the number of trials increases. Essential Questions: How can theoretical probability be used to draw conclusions? How do you find the number of ways that an event can possibly occur? Interdisciplinary Connections Chapter 7 Probability and Define event, sample space, White board 7.1/7.2 Quiz simulation probability and complement presentations. 7.3/7.4 Quiz April 2012 5
7.1 Fundamental properties of probability 7.2 Addition counting principles 7.3 Multiplication counting principles 7.4 Independent events 7.5 Permutations 7.7 Probability distributions 8.6 Combinations Write sample spaces Find the probability of an event Find the complement Use the addition rule to find the probability of compound events Use the multiplication rule to find the probability Discuss dependent and independent events Find conditional probabilities Use fundamental counting rule Define and use factorial Solve permutations and combinations Probability with permutations and combinations HADDONFIELD PUBLIC SCHOOLS Independent Practice 7.5/8.6 Quiz Ch.7 Test TI 83 Plus, TI View Screen, LCD Projector February/ March 25 Days Targeted NJ Core Curriculum Content Standards: A-SSE.1, A-SSE.2, A-SSE.3, A-REI.4, A-APR.4 April 2012 6
HADDONFIELD PUBLIC SCHOOLS Enduring Understandings: Using sound algebra, one can rearrange an expression to make it more manageable. Essential Questions: How can you rewrite an algebraic expression as the product of two expressions? Algebra Unit - Factoring Factoring Solving equations by factoring TI 83 Plus, TI View Screen, LCD Projector Factor by o GCF o Grouping o Difference of 2 squares o Sum/difference of 2 cubes o x 2 +bx+c o ax 2 +bx+c Solve polynomial equations by factoring Use the zero-product property Interdisciplinary Connections White board presentations. Independent Practice Quiz (first three types of factoring) Quiz (all types of factoring) Factoring Unit Test March 14 Days Targeted NJ Core Curriculum Content Standards: A-SSE.1, A-SSE.2, A-SSE.3, A-REI.4, A-APR.4, F-IF.8 April 2012 7
HADDONFIELD PUBLIC SCHOOLS Enduring Understandings: Using sound algebra, one can rearrange an expression to make it more manageable. Essential Questions: How can you simplify a rational algebraic expression, or the product of two rational expressions? Algebra Unit Rational Algebraic Expressions Operations with rational expressions TI 83 Plus, TI View Screen, LCD Projector Rational algebraic expressions o Simplify o Multiply o Divide o Add/subtract with common denominator o Add/subtract with unlike denominators Interdisciplinary Connections White board presentations. Independent Practice Quiz (simplifying, multiplying, dividing rational expressions) Rational Expressions Unit Test April 2012 8
HADDONFIELD PUBLIC SCHOOLS April - June 30 Days Targeted NJ Core Curriculum Content Standards: N-Q.1, N-Q.2, N-Q.3, A-REI.3, G-SRT.2, G-SRT.3, G-SRT.6, G-SRT.7, G-SRT.8, G-CO.1, G-SRT.11 Enduring Understandings: Geometric properties can be used to construct geometric figures. Measurements can be used to describe, compare, and make sense of phenomena. Mathematical models can be used to describe and quantify physical relationships. Everyday objects have a variety of attributes, each of which can be measured in many ways. What we measure affects how we measure it. Essential Questions: How can spatial relationships be described by careful use of geometric and trigonometric language? How can measurements be used? How can we use mathematical models to describe physical relationships? Interdisciplinary Connections Chapter 5 Trigonometric Convert degrees to radians and White board 5.1 5.3 Quiz functions radians to degrees presentations. 5.4/5.4 Quiz 5.1 Measures of angles and Find values of sine, cosine and Independent Practice 5.1 5.6 Test rotations tangent for angles in right 5.7/5.8 Quiz 5.3 Trigonometric ratios of acute triangles angles Find missing sides and angles 5.4 The sine, cosine and tangent in right triangles functions Construct diagrams based on April 2012 9
5.6 Graphs of the sine and cosine functions 5.8 The Law of Cosines 5.9 The Law of Sines HADDONFIELD PUBLIC SCHOOLS word problems to solve triangles using trig Determine the height of an object using trig functions Interpret and represent angles of elevation and depression Interpret graphs of trig functions Find missing sides and angles in any type of triangle TI 83 Plus, TI View Screen, LCD Projector April 2012 10