|
|
|
Oroville Union High School District |
|
Mathematics Curriculum |
|
Mathematics - Bridges to Geometry |
|
|
|
Algebra I Content Standards
|
Properties of Numbers
The learner will be able to
use properties of numbers to demonstrate whether assertions are true or false.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 1.1. |
|
Rules of Exponents
The learner will be able to
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.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 2.0 |
|
Simplifying Expressions
The learner will be able to
simplify expressions prior to solving linear equations and inequalities in one variable such as 3(2x-5) + 4(x-2) = 12.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 4.0. |
|
Linear Inequalities
The learner will be able to
solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 5.0 |
|
Linear Equations
The learner will be able to
graph a linear equation , and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 6.0 |
|
Deriving Linear Equations
The learner will be able to
verify that a point lies on a line given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 7.0 |
|
Parallel Lines
The learner will be able to
understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 8.0 |
|
Monomials and Polynomials
The learner will be able to
add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 10.0. |
|
Factoring Techniques
The learner will be able to
apply basic factoring techniques to second and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 11.0. |
|
Simplifying Fractions
The learner will be able to
simplify fractions with polynomials in the numberation and enominatior by factoring both and reducing them to the lowest terms.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 12.0. |
|
Rational Expressions
The learner will be able to
add, subtract, multiply, and divide rational expressions and functions. students solve both computationally and conceptually challenging problems by using these techniques.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 13.0 |
|
Quadratic Equations
The learner will be able to
solve a quadratic equation by factoring or completing the square.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 14.0 |
|
Quadratic Formulas
The learner will be able to
know the quadratic formula and are familiar with its proof by completing the square.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 19.0 |
|
Solving Quadratic Equations
The learner will be able to
use the quadratic formula to find the roots of a second degree polynomial and to solve quadratic equations.
| Strand |
Scope |
Source |
| Algebra I Set 1.0 |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 20.0 |
|
Simple Arguments
The learner will be able to
use properties of numbers to construct simple, valid arguments (direct and indirect) for, or formulate counterexamples to, claimed assertions.
| Strand |
Scope |
Source |
| Properties of the Number System |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 25.1 |
|
Validity of an Argument
The learner will be able to
judge the validity of an argument according to whether the properties of the real numbers system and the order of operations have been applied correctly at each step.
| Strand |
Scope |
Source |
| Properties of the Number System |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 25.2 |
|
Algebraic Statements
The learner will be able to
be given a specific algebraic statement involving linear, quadratic, or absolute value expressions or equations or inequalities, inequalities determine whether the statement is true sometimes, always, or never.
| Strand |
Scope |
Source |
| Properties of the Number System |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Algebra 1, 25.3 |
|
Triangle Inequality Theorem
The learner will be able to
know and be able to use the triangle inequality theorem.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Geometry, 6.0 |
|
Common Geometric Figures
The learner will be able to
know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Geometry, 8.0 |
|
Volumes and Surface Areas
The learner will be able to
compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Geometry, 9.0 |
|
Areas
The learner will be able to
compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Geometry, 10.0 |
|
Changes in Dimensions
The learner will be able to
determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Geometry, 11.0 |
|
Classifying Figures and Solving Problems
The learner will be able to
find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Geometry, 12.0 |
|
Proving Theorems
The learner will be able to
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.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Geometry, 17.0 |
|
Basic Trigonometric Functions
The learner will be able to
know the definitions of the basic trigonometric functions defined by the angles of a right triangle. They also know and are able to use elementary relationships between them. For example, tran(x) = Sin(x)/cos(x), (sin(x))2 + (cos (x))2 =1.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
CA: Mathematics Content Standards, December 1997, Grades 8-12, Geometry, 18.0 |
|
|
