Lincoln Math Classes

Ms. Theiss

Algebra:

         

    1.0: Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.

       2.0: Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.

       3.0: Students solve equations and inequalities involving absolute values.

       4.0: Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.

       15.0: Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.

       17.0: Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.

       24.3: Students use counterexamples to show that an assertion is false and recognize that a single counterexample is sufficient to refute an assertion.

       25.1: Students use properties of numbers to construct simple, valid arguments for , or formulate counterexamples to, claimed assertions.

      

Geometry:

         

      1.0: Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning.

     3.0: Students construct and judge the validity of a logical argument and give counterexamples to disprove a statement.

     4.0: Students prove basic theorems involving congruence and similarity.

     6.0: Students know and area able to use the triangle inequality theorem.

     8.0: Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.

     10.0: Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids.

     12.0: Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems.

     13.0: Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles.

     15.0: Students use the Pythagorean Theorem to determine distance and find missing lengths of sides of right triangles.

     16.0: Students perform basic constructions with a straightedge and compass, such as angle bisectors, and the line parallel to a given line through a point off the line.

     17.0: Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles.

CASHEE Preparation:

      The students in CASHEE prep are working on math skills.  They are preparing for a standardized test which is administered to all high school students.  We begin by reading or observing a lesson, practicing the skill and taking an assessment to determine if the skill was learned.   The goal for all students is to improve math skills and pass the California High School Exit Exam.  Important real world skills include math!

 

Updated: 9/10/09