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All members of the Class of 2014 who wish to take Geometry in Fall 2010, must first pass an Algebra I Challenge Test.
All members of the Class of 2014 who wish to take Algebra 2 in Fall 2010, must first pass a combined Algebra I/Geometry Challenge Test.
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2010 SFHS Math Challenge Tests
to be held in March 2010
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Test Format: Two Parts
-Part I is short answer
-Part II is multiple choice
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Algebra I Challenge:
-No calculators
Algebra I/Geometry Challenge:
-Calculators ok |
Requirements for Waiving Algebra I
Test Content:
- Pre-algebra concepts:
- Addition, subtraction, multiplication, and division of integers, fractions, and decimals
- Calculate using percents
- Basic geometric concepts such as perimeter and area of rectangles and triangles
- Algebra I content standards from California:
- Identify and use the arithmetic properties for real numbers
- Understand and use operations such as taking the opposite, finding the reciprocal, taking a root, raising to a fractional power, and use the rules of exponents
- Solve linear equations and inequalities, absolute value equations, quadratic equations by factoring, and multistep problems including word problems
- Graph linear equations using x- and y- intercepts and slope-intercept form
- Also sketch the region defined by a linear inequality
- Derive linear equations by using the point-slope formula and manipulate to standard or slope-intercept form
- Understand the concepts of parallel lines and perpendicular lines and how those slopes are related
- Find the equation of line parallel or perpendicular to a given line through a given point
- Solve a system of two linear equations algebraically and graphically
- Also solve a system of two linear inequalities and sketch the solution
- Apply basic factoring techniques (greatest common factor, difference of squares, perfect square binomials) to second and simple third degree polynomials
- Simplify polynomials expressions by adding, subtracting, multiplying, or dividing
- Solve multistep problems, including word problems involving rate and percent-mixture
- Understand the concepts of a relation and a function and determine whether a relation is a function
- Identify the domain and range of a function
- Use and know simple aspects of a logical argument.
- Use counterexamples to show that an assertion is false.
- Content standards not being tested (It is assumed that all students approved for placement in Geometry will be competent in these standards by the time they enter St. Francis High School in the fall of 2009.)
- Solve quadratic equations by factoring, the quadratic formula, or completing the square
- Apply algebraic techniques to solve problems involving work and force of gravity
- Graph quadratic functions and know that their roots are x-intercepts
- Simplify rational expressions by adding, subtracting, multiplying, or dividing
- Solve multistep problems, including word problems
- Solve radical and rational equations and determine the validity of extraneous solutions
Passing Requirements: Based on their Algebra 1 challenge test scores, students will be placed in one of the following classes: Geometry, Algebra XL, Algebra 1, or Algebra 1A.
Requirements for Waiving Algebra I and Geometry
Test Content:
- Algebra I content standards from California:
- Identify and use the arithmetic properties for real numbers
- Understand and use operations such as taking the opposite, finding the reciprocal, taking a root, raising to a fractional power, and use the rules of exponents
- Solve linear equations and inequalities, absolute value equations, quadratic equations by factoring, and multistep problems including word problems
- Graph linear equations using x- and y- intercepts and slope-intercept form
- Also sketch the region defined by a linear inequality
- Derive linear equations by using the point-slope formula and manipulate to standard or slope-intercept form
- Understand the concepts of parallel lines and perpendicular lines and how those slopes are related
- Find the equation of line parallel or perpendicular to a given line through a given point
- Solve a system of two linear equations algebraically and graphically
- Also solve a system of two linear inequalities and sketch the solution
- Apply basic factoring techniques (greatest common factor, difference of squares, perfect square binomials) to second and simple third degree polynomials
- Simplify polynomials and rational expressions by adding, subtracting, multiplying, or dividing
- Understand the concepts of a relation and a function and determine whether a relation is a function
- Identify the domain and range of a function
- Solve quadratic equations using the quadratic formula and completing the square
- Graph quadratic functions and know that their roots are x-intercepts
- Apply quadratic equations to solve rate problems, work problems, percent mixture problems, and force of gravity problems
- Geometry content standards from California
- Use properties of complementary, supplementary, vertical, and exterior angles
- Use the concept of corresponding parts of congruent and similar triangles
- Know and are able to use the triangle inequality theorem
- Use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles
- Compute areas of polygons, including rectangles, scalene and equilateral triangles, rhombi, parallelograms, and trapezoids
- Find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solids
- Use the Pythagorean Theorem to determine distance and find missing lengths of sides of right triangles
- Know the definitions of the basic trigonometric functions defined by the angles of a right triangle
- Use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side
- Know and are able to use angle and side relationships in problems with special right triangles, such as 30°-60°-90° triangles and 45°-45°-90° triangles
- Solve problems regarding relationships among chords, secants, tangents, and inscribed angles
- Content standards not being tested (It is assumed that all students approved for placement in Geometry will be competent in these standards by the time they enter St. Francis High School in the fall of 2009.)
- Know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures
- Compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres
- Perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line
Passing Requirements: Based on their combined Algebra 1/Geometry challenge test scores, students will be placed in one of the following classes: Algebra 2, Geometry, or Algebra XL.
Integrated Science
Test content and sample questions:
Computer Essentials
The challenge test is offered on Saturday, March 20th. The test will be held in the computer lab, Room 332. STudents may drop in between 9:30am-12:30pm to take the test. Test time limit is 45 minutes. For more information download available below:
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