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Honors Elementary Analysis

Curriculum Guide

Scranton School District

Scranton, PA

Scranton School District Curriculum Guide

Honors Elementary Analysis Page 1

Honors Elementary Analysis

Prerequisite : Honors Algebra II/Trigonometry

Be in compliance with the SSD Honors and AP Criteria Policy

Honors Elementary Analysis is an advanced course in mathematics. The major topics in this course are quadratic equations, coordinate geometry, polynomial algebra, theory of equations, inequalities, functions, exponents, advanced graphing techniques, conics, trigonometry and its applications, polar coordinates, vector operations, series, matrices, and probability. After successful completion of this course the students will be allowed to enroll in Honors Calculus I or AP Calculus if the Scranton School District Criteria for enrollment in Advanced Placement classes is met.

Honors%20AP%20Criteria%20Board%20Approved%20Policy%205-5-14.docx

Scranton School District Curriculum Guide

Honors Elementary Analysis Page 2

Year-at-a-glance

Subject: Honors Elementary Analysis Grade Level: 11,12 Date Completed: 2/5/15

1st Quarter

Topic Resources CCSS

FUNDAMENTALS/REVIEW Linear Functions

Advanced Mathematics Text Chapter 1-1, 1-2, 1-3, 1-4, 1-8 Graphing Calculators

A1.2.2.1.3 HSA.REI.C.5 HSA.REI.C.6 HSF.BF.A.1 HSF.BF.A.1.a THE COMPLEX NUMBER SYSTEM

Perform arithmetic operations with complex numbers.

Advanced Mathematics Text Chapter 1-5 Graphing Calculators

HSN.CN.A.1 HSN.CN.A.2 HSN.CN.A.3

INTERPRETING FUNCTIONS Analyze functions using different representations.

Advanced Mathematics Text 1-1, 1-4, 1-6, 1-7 Chapter 2 (excluding 2-7) Chapter 3 (excluding 3-4) Graphing Calculators

HSF.IF.C.7 HSF.IF.C.7.a HSF.IF.C.7.c

http://www.corestandards.org/Math/Content/HSA/REI/C/5/http://www.corestandards.org/Math/Content/HSA/REI/C/6/http://www.corestandards.org/Math/Content/HSF/BF/A/1/http://www.corestandards.org/Math/Content/HSF/BF/A/1/a/http://www.corestandards.org/Math/Content/HSN/CN/A/1/http://www.corestandards.org/Math/Content/HSN/CN/A/1/http://www.corestandards.org/Math/Content/HSN/CN/A/1/http://www.corestandards.org/Math/Content/HSF/IF/C/7/http://www.corestandards.org/Math/Content/HSF/IF/C/7/a/http://www.corestandards.org/Math/Content/HSF/IF/C/7/c/

Scranton School District Curriculum Guide

Honors Elementary Analysis Page 3

2nd Quarter

Topic Resources CCSS

INTERPRETING FUNCTIONS Analyze functions using different representations.

Advanced Mathematics Text 4-1, 4-7 Chapter 5 Glossary (p.882) Graphing Calculators

HSF.IF.C.7.d HSF.IF.C.7.b A2.1.2.1.3 HSF.IF.C.7.e HSF.IF.C.8 HSF.BF.A.1 HSF.BF.A.1.a HSF.BF.A.1.b HSF.BF.A.1.c HSF.IF.C.8.a HSF.IF.C.8.b HSF.IF.C.9

BUILDING FUNCTIONS Build new functions from existing functions

Advanced Mathematics Text 4-2, 4-3, 4-4, 4-5 5-3, 5-4, 5-5, 5-6 Graphing Calculators

HSF.BF.B.3 HSF.BF.B.4 HSF.BF.B.4.a HSF.BF.B.4.b HSF.BF.B.4.c HSF.BF.B.4.d HSF.BF.B.5

http://www.corestandards.org/Math/Content/HSF/IF/C/7/d/http://www.corestandards.org/Math/Content/HSF/IF/C/7/b/http://www.corestandards.org/Math/Content/HSF/IF/C/7/e/http://www.corestandards.org/Math/Content/HSF/IF/C/8/http://www.corestandards.org/Math/Content/HSF/BF/A/1/b/http://www.corestandards.org/Math/Content/HSF/BF/A/1/c/http://www.corestandards.org/Math/Content/HSF/IF/C/8/a/http://www.corestandards.org/Math/Content/HSF/IF/C/8/b/http://www.corestandards.org/Math/Content/HSF/IF/C/9/http://www.corestandards.org/Math/Content/HSF/BF/B/3/http://www.corestandards.org/Math/Content/HSF/BF/B/4/http://www.corestandards.org/Math/Content/HSF/BF/B/4/a/http://www.corestandards.org/Math/Content/HSF/BF/B/4/b/http://www.corestandards.org/Math/Content/HSF/BF/B/4/c/http://www.corestandards.org/Math/Content/HSF/BF/B/4/d/http://www.corestandards.org/Math/Content/HSF/BF/B/5/

Scranton School District Curriculum Guide

Honors Elementary Analysis Page 4

3rd Quarter

Topic Resources CCSS

TRIGONOMETRIC FUNCTIONS Extend the domain of trigonometric functions using the unit circle

Advanced Mathematics Text Chapter 7 Graphing Calculators

HSF.TF.A.1 HSF.TF.A.2 HSF.TF.A.3 HSF.TF.A.4

Model periodic phenomena with trigonometric functions

Advanced Mathematics Text 8-2, 8-3 Graphing Calculators

HSF.TF.B.5 HSF.TF.B.6 HSF.TF.B.7

Prove and apply trigonometric identities Advanced Mathematics Text 8-1, 8-4, 8-5 Chapter 9 10-3 Graphing Calculators

HSF.TF.C.8

EXPRESSING GEOMETRIC PROPERTIES WITH EQUATIONS Translate between the geometric description and the equation for a conic section

Advanced Mathematics Text 6-1 to 6-5 Graphing Calculators

HSG.GPE.A.1 HSG.GPE.A.2 HSG.GPE.A.3 HSA.REI.C.7

http://www.corestandards.org/Math/Content/HSF/TF/A/1/http://www.corestandards.org/Math/Content/HSF/TF/A/2/http://www.corestandards.org/Math/Content/HSF/TF/A/3/http://www.corestandards.org/Math/Content/HSF/TF/A/4/http://www.corestandards.org/Math/Content/HSF/TF/B/5/http://www.corestandards.org/Math/Content/HSF/TF/B/6/http://www.corestandards.org/Math/Content/HSF/TF/B/7/http://www.corestandards.org/Math/Content/HSF/TF/C/8/http://www.corestandards.org/Math/Content/HSG/GPE/A/1/http://www.corestandards.org/Math/Content/HSG/GPE/A/1/http://www.corestandards.org/Math/Content/HSG/GPE/A/2/http://www.corestandards.org/Math/Content/HSG/GPE/A/3/http://www.corestandards.org/Math/Content/HSA/REI/C/7/

Scranton School District Curriculum Guide

Honors Elementary Analysis Page 5

4th Quarter

Topic Resources CCSS

SEQUENCES AND SERIES Build a function that models a relationship between two quantities

Advanced Mathematics Text 13-1, 13-2, 13-3 Graphing Calculators

HSF.BF.A.2

USING PROBABILITY TO MAKE DECISIONS Calculate expected values and use them to solve problems

Advanced Mathematics Text 16-1, 16-2, 16-4, 16-6 Graphing Calculators

A2.2.3.2.1 A2.2.3.2.3 HSS.MD.A.2 HSS.MD.B.5.a VECTOR QUANTITIES AND MATRICES

Perform operations on vectors

Advanced Mathematics Text 12-1, 12-2 Graphing Calculators

HSN.VM.B.4 HSN.VM.B.4.a HSN.VM.B.4.b HSN.VM.B.4.c HSN.VM.B.5 HSN.VM.B.5.a

Perform operations on matrices and use matrices in applications Advanced Mathematics Text 14-1, 14-2, 14-3, 14-4 Graphing Calculators

HSN.VM.C.6 HSN.VM.C.7 HSN.VM.C.8 HSN.VM.C.9 HSN.VM.C.10 HSA.REI.C.8 HSA.REI.C.9

REPRESENT COMPLEX NUMBERS AND THEIR OPERATIONS ON THE COMPLEX PLANE

Advanced Mathematics Text 11-1, 11-2 Graphing Calculators

HSN.CN.B.4

Final Exams and Reviews

http://www.corestandards.org/Math/Content/HSF/BF/A/2/http://www.corestandards.org/Math/Content/HSS/MD/A/2/http://www.corestandards.org/Math/Content/HSS/MD/B/5/a/http://www.corestandards.org/Math/Content/HSN/VM/B/4/http://www.corestandards.org/Math/Content/HSN/VM/B/4/a/http://www.corestandards.org/Math/Content/HSN/VM/B/4/b/http://www.corestandards.org/Math/Content/HSN/VM/B/4/c/http://www.corestandards.org/Math/Content/HSN/VM/B/5/http://www.corestandards.org/Math/Content/HSN/VM/B/5/a/http://www.corestandards.org/Math/Content/HSN/VM/C/6/http://www.corestandards.org/Math/Content/HSN/VM/C/7/http://www.corestandards.org/Math/Content/HSN/VM/C/8/http://www.corestandards.org/Math/Content/HSN/VM/C/9/http://www.corestandards.org/Math/Content/HSN/VM/C/10/http://www.corestandards.org/Math/Content/HSA/REI/C/8/http://www.corestandards.org/Math/Content/HSA/REI/C/9/http://www.corestandards.org/Math/Content/HSN/CN/B/4/

Scranton School District Curriculum Guide

Honors Elementary Analysis Page 6

***Note: Italicized blue text designates SSD Elementary Analysis topics that are currently covered (and should continue to be) but are NOT listed in

the Common Core State Mathematics Standards.

General Topic Academic Standard(s)

Essential Knowledge, Skills & Vocabulary

Resources & Activities

Assessments Suggested Time

FUNDAMENTALS/ REVIEW Linear Functions

A1.2.2.1.3 HSA.REI.C.5 HSA.REI.C.6 HSF.BF.A.1 HSF.BF.A.1.a

Write or identify a linear equations when given: the graph of a line, two points on a line, the slope and point on the line, and parallel and perpendicular lines Write equations of altitudes, medians, perpendicular bisectors, and find their point of concurrency. Prove theorems from Geometry by using coordinates (coordinate proofs). Prove and use formula for distance form a point to a line. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Write a function that describes a relationship between two quantities.

Determine an explicit expression, a recursive process, or steps for calculation from a context.

Advanced Mathematics Text Chapter 1-1, 1-2, 1-3, 1-4, 1-8, 6-1 Graphing Calculators

Teacher prepared tests, quizzes, etc.

15 days

http://www.corestandards.org/Math/Content/HSA/REI/C/5/http://www.corestandards.org/Math/Content/HSA/REI/C/6/http://www.corestandards.org/Math/Content/HSF/BF/A/1/http://www.corestandards.org/Math/Content/HSF/BF/A/1/a/

Scranton School District Curriculum Guide

Honors Elementary Analysis Page 7

THE COMPLEX NUMBER SYSTEM Perform arithmetic operations with complex numbers.

HSN.CN.A.1 HSN.CN.A.2 HSN.CN.A.3

Know