MATHEMATICS

Department Overview

The mathematics curriculum is aligned with California Common Core State Standards for Mathematics. The goal of the mathematics curriculum is to develop mathematicallypowerful students. Mathematical power involves the ability to discern mathematical relationships, reason logically, and use mathematical techniques effectively. The focus of each course is a balance among understanding of basic skills, problem solving, and concept development.

 


3452 MATH 1
7th
10.0 credits
Recommendation: None.


In Math 1 instructional time focuses on four critical areas: (1) developing understanding of and applying proportional relationships, including percentages; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples. Students also work towards fluently solving equations of the form px + q = r and p(x + q) = r.



3453 MATH 1 HONORS (HP)
7th
10.0 credits
Recommendation: None.


In Math 1 (HP) instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships, including percentages; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples. Students also work towards fluently solving equations of the form px + q = r and p(x + q) = r. Additionally, students will be required to create cross-curricular projects.



3454 MATH 1 (HP) SPANISH
7th
10.0 credits
Recommendation: Enrollment in the Dual Language Academy.


This course is Math 1 taught in Spanish through the Dual Language Academy. Math 1 instructional time focuses on four critical areas: (1) developing understanding of and applying proportional relationships, including percentages; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples. Students also work towards fluently solving equations of the form px + q = r and p(x + q) = r.



3462 MATH 2
8th
10.0 credits
Recommendation: None.


In Math 2, instructional time focuses on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bi-variate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence and understanding and applying the Pythagorean Theorem. Students also work towards fluency with solving simple sets of two equations with two unknowns by inspection.



3463 MATH 2 HONORS (HP)
8th
10.0 credits
Recommendation: None.


In Math 2, instructional time focuses on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bi-variate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence and understanding and applying the Pythagorean Theorem. Students also work towards fluency with solving simple sets of two equations with two unknowns by inspection. Additionally, students will be required to create cross-curricular projects. Students successfully completing this course will be prepared for the pace and rigor of the compacted High School Honors Math Courses (three years of the CA Integrated Math Pathway in two years).



3464 MATH 2 (HP) SPANISH
8th
10.0 credits
Recommendation: Enrollment in the Dual Language Academy.


This Math 2 course is taught in Spanish through the Dual Language Academy. In Math 2, instructional time focuses on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bi-variate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence and understanding and applying the Pythagorean Theorem. Students also work towards fluency with solving simple sets of two equations with two unknowns by inspection.



3663 ALGEBRA CORE CONCEPTS I
8th - 12th
10.0 credits
Credit Recovery use in Alternative Education only until June 2017.
UC - "C" Approved

Students will extend the properties of exponents, use properties of rational and irrational numbers, reason quantitatively and use units to solve problems, write expressions in equivalent forms to solve problems, perform arithmetic operations on polynomials, create equations that describe numbers or relationships, solve equations and inequalities in one variable, build a function that models a relationship between two quantities, understand congruence and transformations in a plane, explain volume formulas and use them to solve problems, summarize, represent, and interpret data, understand independence and conditional probability. Students will link (model) classroom mathematics and statistics to everyday life and decision -making.



3670 ALGEBRA 1 (P)
7th - 12th
10.0 credits
Course sunsets June 2016 for comprehensive sites, then it will only be for credit recovery through 2018.
UC - "C" Approved

The axiomatic structure of the real number system is emphasized, with a focus on the universal vocabulary of mathematics. The following topics are addressed: properties of real numbers, graphing and solving linear equations, linear inequalities and functions, systems of linear equations and inequalities, exponents and exponential functions, quadratic equations and functions, polynomials and factoring, rational expressions, and equations and radicals. Linear equations are derived using the point-slope formula and a system of two linear equations or inequalities is solved algebraically and interpreted graphically. The difference between inductive and deductive reasoning is identified and examples are provided for each of these logic arguments.



3690 GEOMETRY (P)
8th - 12th
10.0 credits
Course sunsets June 2016 for comprehensive sites, then it will only be for credit recovery through 2018.
UC - "C" Approved

This course introduces logical arguments and geometric proofs as they relate to mathematical problems. A formal development of two-column proofs will incorporate inductive and deductive reasoning, an understanding of the concepts of similarity, congruence, and coordinate geometry. Pythagorean relationships, triangle properties, parallel and perpendicular lines, and measuring areas of surfaces and volumes will be addressed.



3720 ALGEBRA 2 (P)
8th - 12th
10.0 credits
Course sunsets June 2016 for comprehensive sites, then it will only be for credit recovery through 2018.
UC - "C" Approved

This course expands on the mathematical content of Algebra 1 (P) and Geometry (P). This course includes the solution of quadratic equations, logarithmic and exponential functions, the binomial theorem, progressions and series, the complex number system, the geometry and algebra of conics, matrices and determinants, probability and statistics, and a more in depth approach to powers, roots and radicals. Rational expressions withmonomial and polynomial denominators are evaluated. Complicated rational expressions, including those with negative exponents in the denominator, are simplified.


math sequencing chart

 

 

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