SHS Math



Algebra 2 Trig Syllabus

Quarter 1

|Day |Date |Topic |Homework |

|1 |Tues 9/3 |UNIT 1: Functions | |

| |Wed 9/4 |Interval notation, domain/range, increase/decreasing (2.1) | |

|2 |Thur 9/5 |Function Operations (6.3) | |

| |Fri 9/6 |Composition of Functions (6.3) | |

|3 |Mon 9/9 |Piecewise Functions (2.7 Extension) | |

| |Tues 9/10 |Evaluating and Graphing | |

|4 |Wed 9/11 |Absolute Value Functions and Graphing (2.7) | |

| |Thur 9/12 | | |

|5 |Fri 9/13 |Absolute Value Equations (including extraneous solutions) (1.6, 1.7) | |

| |Mon 9/16 | | |

|6 |Tues 9/17 |Absolute Value Inequalities (1.7) | |

| |Wed 9/18 | | |

|7 |Thur 9/19 |Review for Test | |

| |Fri 9/20 |Functions, Piecewise Functions, and Absolute Value Functions, Equations and | |

| | |Inequalities | |

|8 |Mon 9/23 |TEST: FUNCTIONS | |

| |Tues 9/24 | | |

|9 |Wed 9/25 |UNIT 2: Quadratic Functions | |

| |Thur 9/26 |Graphing Quadratic Functions (3 forms with transformations) (4.1, 4.2) | |

|10 |Fri 9/27 |Quadratic Inequalities (4.9) | |

| |Mon 9/30 | | |

|11 |Tues 10/2 | | |

| |Wed 10/2 |Converting the Forms of Quadratic Functions (4.1, 4.2) | |

|12 |Thur 10/3 |Solving Equations using the Quadratic Formula (4.8) | |

| |Fri 10/4 |QUIZ: Graphing Quadratic Functions | |

|13 |Mon 10/7 |Complex Numbers (4.6) | |

| |Tues 10/8 | | |

|14 |Wed 10/9 |Solving Quadratic Equations (4.3, 4.4, 4.5, 4.7) | |

| |Thur 10/10 | | |

|15 |Fri 10/11 |Systems of Quadratic Equations (4.9) | |

| |Tues 10/15 | | |

|16 |Wed 10/16 |Quadratic Modeling (4.10) | |

| |Thurs 10/17 | | |

|17 |Fri 10/18 |Review for Test | |

| |Mon 10/21 |Quadratic Functions | |

|18 |Tues 10/22 |TEST: QUADRATIC FUNCTIONS | |

| |Wed 10/23 | | |

|19 |Thur 10/24 |UNIT 2: Inverses and Radical Functions | |

| |Fri 10/25 |Inverse Functions (6.4) | |

|20 |Mon 10/28 |Rational Exponents (6.1, 6.2) | |

| |Tues 10/29 | | |

|21 |Wed 10/30 |Graphing Radical Functions (6.5) | |

| |Thur 10/31 | | |

|22 |Fri 11/1 |Radical Equations (6.6) | |

| |Mon 11/4 | | |

* This is to be used as a guide and is subject to change

*Changes can be tracked on my website: /domain/14355

Algebra 2 Trig

Quarter 1

|Day |Date |Topic |Standard |

|1 |Tues 9/3 |Interval Notation |AII/T.7d |

| |Wed 9/4 |Domain/Range | |

| | |Increase/Decreasing | |

|2 |Thur 9/5 |Function Operations |AII/T.7h |

| |Fri 9/6 |Composition of Functions | |

|3 |Mon 9/9 |Piecewise Functions |AII.7a-h |

| |Tues 9/10 |Evaluating and Graphing | |

|4 |Wed 9/11 |Absolute Value Functions and Graphing |AII/T.6,7 a-h |

| |Thur 9/12 | | |

|5 |Fri 9/13 |Absolute Value Equations (including extraneous solutions) |AII/T.4a |

| |Mon 9/16 | | |

|6 |Tues 9/17 |Absolute Value Inequalities | |

| |Wed 9/18 | | |

|7 |Thur 9/19 |Review: Functions | |

| |Fri 9/20 |Functions, Piecewise Functions, and Absolute Value Functions, Equations and | |

| | |Inequalities | |

|8 |Mon 9/23 |Test: Functions | |

| |Tues 9/24 | | |

|9 |Wed 9/25 |Graphing Quadratic Functions (3 forms with transformations) |AII/T.6,7 a-h |

| |Thur 9/26 | | |

|10 |Fri 9/27 |Quadratic Inequalities |AII/T.6 |

| |Mon 9/30 | |AII/T.7 |

|11 |Tues 10/2 | |AII/T.6 |

| |Wed 10/2 |Converting the Forms of Quadratic Functions |AII/T.7 |

|12 |Thur 10/3 |Solving Equations using the Quadratic Formula |AII/T.4b |

| |Fri 10/4 |Quiz: Graphing Quadratic Functions | |

|13 |Mon 10/7 |Complex Numbers |AII/T.3 |

| |Tues 10/8 | | |

|14 |Wed 10/9 |Solving Quadratic Equations |AII/T.4b |

| |Thur 10/10 | | |

|15 |Fri 10/11 |Systems of Quadratic Equations |AII/T.5 |

| |Tues 10/15 | | |

|16 |Wed 10/16 |Quadratic Modeling |AII/T.5 |

| |Thurs 10/17 | |AII/T.7 a-h |

| | | |AII/T.8 |

|17 |Fri 10/18 |Review for Test | |

| |Mon 10/21 |Quadratic Functions | |

|18 |Tues 10/22 |Test: Quadratic Functions | |

| |Wed 10/23 | | |

|19 |Thur 10/24 |Inverse Functions |AII/T.7g |

| |Fri 10/25 | | |

|20 |Mon 10/28 |Rational Exponents |AII/T.1b, AII/T.1c |

| |Tues 10/29 | | |

|21 |Wed 10/30 |Graphing Radical Functions |AII/T.7a-h |

| |Thur 10/31 | | |

|22 |Fri 11/1 |Radical Equations | |

| |Mon 11/4 | | |

* This is to be used as a guide and is subject to change

*Changes can be tracked on my website: /domain/14355

|9 | |Operations with Quadratic Expressions (review) |AII/T.1d |

| | |Factor (review) |AII/T.6,7 a-h |

| | | | |

| | |Graph in vertex form (AII.8, AII.9) | |

| | |Application with data (quadratic regression model) | |

| | |Graph Transformations | |

|10 | | |AII/T.4b |

| | |Vertex form cont… | |

| | |Find the equation given graph or table | |

| | |Find x-y intercepts by using square root method (AII.4, AII.5) | |

|11 | | |AII/T.3 |

| | |Complex Numbers | |

| | |Convert vertex to standard (expand and simplify) | |

| | | | |

| | |Graph in Standard Form (AII.8, AII.9) | |

| | |Trajectory application | |

|12 | | |AII/T.4b |

| | |Graph in standard form cont… | |

| | |Find x-y intercepts using factoring (AII.4, AII.5) | |

|13 | | |AII/T.4b |

| | |Find x-y intercepts using quadratic formula (AII.4, AII.5) | |

| | |Determine best method of solving (AII.4, AII.5) | |

|14 | | |AII/T.4b |

| | |Convert back to vertex form (complete the square) – can also be used to find | |

| | |x-intercepts by solving (AII.4, AII.5) | |

| | |Convert to intercept form by factoring | |

|15 | | |AII/T. |

| | |Graph in Intercept Form (AII.8, AII.9) |6,7 a-h |

| | |Application in intercept form (max area) | |

| | |Find x/y intercepts | |

| | |Convert intercept to standard form (multiply binomials) | |

|16 | |Quadratic Systems and Inequalities (AII.9, AII.5) |AII/T.5 |

Quadratic Functions

Curriculum Guide

|Unit Title: Quadratic Functions |Course: Algebra II Trig |

|Last Tuned By: |Date: August 23, 2013 |

|What are the essential questions? |

|What are quadratic functions, how are they solved, and what are the applications? |

|How can a quadratic function be used to determine the path of an object? |

|When might you use quadratic functions in real life? |

| |

|What key content will students acquire? |

|Factoring, Imaginary and Complex Numbers, Solving Quadratic Equations, Graphing Quadratic Functions, Applications |

| |

| |

| | |

|Prerequisite Skills |Learning Experiences |

| |Differentiated Instruction |

|Simplifying a radical |Create Factoring Algorithm |

|Number Sense, Factors |Factor puzzle |

| |Maximize Area |

|Order of operations with exponents and parentheses |Back Vocabulary |

|Plot points |Around the world |

|Evaluate formulas |Concept Map, Concept cards |

|Graph using a table |Solving Quadratic Equations Stations |

|Solve equations |Solve Quadratic Equations Algorithm |

| |Angry Birds Analysis |

| | |

| | |

|Online Resources |Evidence of Understanding |

| |Assessment |

|Classzone | |

|Purple Math |Test, Quiz, Problem Set (applications), Concept Check |

|Khan Academy |Create a Quadratics Newspaper or Magazine |

| |Parabolas All Around Us |

| |Trajectories |

| |Unit Menu |

Students will be able to …

| |Four ways to represent a function: verbal, table, function, graph |

|All Students |Write the equation of a quadratic function using the graph (or 3 points) |

| |Solve Quadratic Equations (completing square) |

|Understand Quadratic vs. Linear (tables) |How to graph on a calculator |

|Factor trinomials (A[pic]1) |Imaginary and Complex Numbers |

|Four ways to represent a function: verbal, table, function, graph |Quadratic Systems of Equations and Inequalities |

|Factor binomials and trinomials using formulas | |

|Graph Quadratic Functions in Vertex Form, Standard Form, and Intercept Form | |

|Understand all parts of a quadratic graph: line of symmetry, leading coefficient| |

|(a), relationship between values: 1, 4, 9, 16, solutions/roots | |

|Complete trajectory problems/applications | |

|Solving Quadratic Equations | |

|Solve Quadratic Equation using Zero Product | |

|Solve Quadratic Equation using Square Roots | |

|Solve Quadratic Equation and Simplify using Quadratic Formula (discriminant) | |

| | |

| |Few Students |

| | |

| |Prime Trinomial Test |

What are the suggested modifications and accommodations?

|Modifications |Accommodations |

|List pairs of factors of a number |Use concept cards on tests or quizzes |

|Prime factorization |Clues on tests or quizzes |

|Factoring (A=1) and C is prime |Word banks |

|Solve simple quadratic equations using square roots |Use of factoring algorithm |

|Use quadratic formula with guided notes (work comes out evenly) |Link sheets |

|Quadratic function opens up or down |Concept map |

|Locate and plot vertex (approximate graph) | |

|Equation of line of symmetry | |

|Understand basic quadratic applications: reading a graph, when the ball hits the | |

|ground, approximate the maximum height | |

|Find 3 points on a parabola and substitute into the general function | |

Enrichment Activities

Further applications of quadratic functions

Connect to linear and quadratic sequences (tables)

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