Alzar School Curriculum Guide Alzar School Curriculum Guide 2021-2022 | Page 15

MATHEMATICS :

Geometry Honors :
Fall : Students are introduced to the concept of plane and coordinate geometry , examining topics such as angles , triangles , circles , polygons , area similarity , and congruence . Students apply geometric principles in everyday scenarios . In the Fall semester , students develop the vocabulary and deductive reasoning required for writing proofs . In addition , there is extensive coverage of parallel and perpendicular lines , congruent triangles , relationships within triangles , and quadrilaterals .
Spring : In Spring semester of Geometry , students focus on similarity of polygons and using proportions to find missing angles or sides , using trigonometry and properties of right triangles to find missing angles or sides , transformations and area and volume . Students learn to set up and write proofs to justify logical arguments and conclusions . Students also apply geometric principles in everyday scenarios .
Algebra II Honors :
Fall : Students expand their understanding of basic concepts of algebra , starting by looking at inequalities and proofs . They study linear equations and functions , as well as polynomials . Students use rational expressions , irrational and complex numbers , and quadratic equations and functions . Throughout the course , students apply functions to real-world situations through mathematical modeling .
Spring : Students learn to manipulate exponential and logarithmic functions and learn more about triangle trigonometry . They are introduced to basic statistics and learn to use matrices and determinants . Students apply these skills to real-world situations through mathematical modeling .
Precalculus Honors :
Precalculus curriculum varies widely amongst high schools , so we offer four Precalculus Courses to best meet student needs . It is recommended that Alzar School students work with the sending school math teacher to review all Precalculus course options , and select the course most similar to their sending school ’ s Precalculus scope and sequence . If you have questions about which Precalculus class your student should enroll in , please contact studies @ alzarschool . org .
The courses offered at Alzar School include the following : Precalculus A : Offered FALL semesters only Precalculus B : Offered FALL semesters only Precalculus C : Offered SPRING semesters only Precalculus D : Offered SPRING semesters only
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