Search the California Content Standards

Cluster:
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]

Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.*

Cluster:
Write expressions in equivalent forms to solve problems. [Quadratic and exponential]

Standard:
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t can be rewritten as (1.15^1/12)^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.*

Cluster:
Understand and apply theorems about circles.

Standard:
Prove that all circles are similar.

Cluster:
Understand and apply theorems about circles.

Standard:
Prove that all circles are similar.

Cluster:
Understand and apply theorems about circles.

Standard:
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

Cluster:
Understand and apply theorems about circles.

Standard:
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

Cluster:
Understand and apply theorems about circles.

Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Cluster:
Understand and apply theorems about circles.

Standard:
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Cluster:
Understand and apply theorems about circles.

Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.

Cluster:
Understand and apply theorems about circles.

Standard:
(+) Construct a tangent line from a point outside a given circle to the circle.