|
Chapter |
Content/Topic |
Skills |
Assessment |
Standards |
|
Chapter 0
Sept. - 7 days |
· Problem Solving |
· Review important concepts from beginning algebra
· Learn a four-step problem solving plan
· Use pictures, diagrams, and graphs as problem solving tools
· Organize information
· Solve logic problems
· Practice working in a cooperative group |
· Group investigations
· Daily homework
· Test
· Chapter summary
|
· A.12.1, A.12.3, A.12.6, C.12.1, C.12.2, C.12.3, D.12.3, F.12.1 |
|
Chapter 1
Sept. - 12 days |
· Patterns and Recursion |
· Recognize arithmetic and geometric sequences
· Using graphing calculators to do recursion, sequences and finance mode
· Write recursive definitions for sequences
· Display sequences with graphs
· Investigate long-run values
· Model growth and decay with geometric sequences |
· Group investigations
· Daily homework
· Quiz
· Test
· Geometric Pattern Project
· Chapter summary
|
· A.12.1, A12.3, B.12.2-6, C.12.2, D.12.3, F.12.1 |
|
Chapter 2
Sept./Oct. – 8 days |
· Describing Data |
· Review measures of central tendency
· Use the graphing calculator to generate statistical values and graphs
· Learn 5-number summaries and quartiles
· Create, interpret, and compare graphs of data sets
· Find and interpret measures of spread (percentile rank, standard deviation, variance, IQR)
· Make conclusions and comparisons of data sets |
· Group investigations
· Daily homework
· Quiz
· Test
· Fast Food Project
· Chapter summary
|
· A.12.1, A.12.5, E.12.1, E.12.2, E.12.3 |
|
Chapter 3
Oct./Nov. – 16 days |
· Linear Models and Systems |
· Review linear equations in slope- intercept form and point-slope form
· Find explicit formulas for arithmetic sequences
· Find lines of fit for linear data sets using different methods
· Using the graphing calculator to graph lines and find solutions
· Use systems of linear equations to model problems
· Solve systems of linear equations using graphing, tables, substitution, and elimination |
· Group investigations
· Daily homework
· Quiz
· Test
· Talkin’ Trash Project
· Chapter summary |
· |
|
Chapter 4
Nov. - 14 days |
· Functions, Relations, and Transformations |
· Interpret graphs of functions and relations
· Review function notation
· Learn about linear, quadratic, square root, absolute value and circle families of functions
· Apply transformations – translations, reflections, stretches, and shrinks – to graphs of functions and relations
· Transform functions to model real-world data |
· Group investigations
· Daily homework
· Functional MelodiesActivity
· Quiz
· Test
· Boolean Project
· Chapter summary |
· A.12.1, A.12.3, A.12.5, C.12.1, F.12.2 |
|
Chapter 5
Dec – 15 days |
· Exponential, Power, and Logarithmic Functions |
· Write explicit equations for geometric sequences
· Use exponential functions to model real-world growth and decay
· Review the properties of exponents and the meaning of rational exponents
· Learn how to find the inverse of a function
· Define logarithmic functions as inverses of exponential functions
· Develop properties of logarithms and apply them to calculate and solve problems |
· Group investigations
· Daily homework
· Quiz
· Test
· Chapter summary posters |
· A.12.1, A.12.4, A.12.5, B.12.2, B.12.3, B.12.4, B.12.5, B.12.6, F.12.1, F.12.2, F.12.4 |
|
Chapter 6
Jan. – 13 days |
· Matrices and Linear Systems |
· Use matrices to represent transition diagrams, polygons, and transformations
· Apply matrix operations to solve problems with probabilities and transformations
· Solve systems of equations by inverse matrices
· Write and graph systems of inequalities to describe given real-world constraints
· Learn how to do linear programming with two variables |
· Group investigations
· Daily homework
· Quiz
· Test
· Fundraising Project
· Chapter summary/concept map |
· B.12.2, E.12.2, F.12.1-4 |
|
Chapter 7
Jan.-Feb – 19 days |
· Quadratic and Other Polynomial Functions |
· Define types and properties of polynomials
· Find polynomial functions that fit a set of data
· Study quadratic functions in general form, vertex form, and factored form
· Find roots of an equation from a graph, by factoring, and by using the quadratic formula
· Learn completing the square to convert from general form to vertex form
· Define complex numbers and operations with them
· Identify features of the graph of a polynomial function
· Use division and other strategies to find roots of higher-degree polynomials |
· Group investigations
· Daily homework
· Quiz
· Test
· Chapter summary |
· A.12.1, B.12.6, F.12.1-4 |
|
Chapter 8
Feb.-Mar. – 19 days |
· Parametric Equations and Trigonometry |
· Define parametric equations and learn how to graph them on the graphing calculators
· Simulate motion with parametric equations
· Convert between parametric equations and equations using only x and y
· Review the trigonometric ratios – sine, cosine, and tangent
· Use the trigonometric ratios, inverse trig ratios, and parametric equations to solve application problems
· Learn and apply the Law of Sines and the Law of Cosines |
· Group investigations
· Daily homework
· Quiz
· Test
· Basketball Free Throw Project
· Chapter summary |
· A.12.1, A.12.2, A.12.3, B.12.5, B.12.6, C.12.1, C.12.2, C.12.5, D.12.1, D.12.3, F.12.2 |
|
Chapter 9
Mar.–Apr. – 19 days |
· Conic Sections and Rational Functions |
· Use the distance formula to find the distance between two points and to define a circle
· Define the four conic sections – circles, ellipses, parabolas and hyperbolas
· Learn the rectangular equations of all four conic sections
· Learn to relate the properties, equations and graphs of a conic section
· Write the equations of conic sections in different forms
· Study rational functions and learn special properties of their graphs
· Find the graph of a rational function from its equation and vice versa |
· Group investigations
· Daily homework
· Quiz (worksheet packet)
· Test
· Foldable note
· Chapter summary |
· C.12.1, D.12.3, F.12.2 |
