11.1
Graph Square Root Functions
11.5
Apply the Distance
and Midpoint
Formulas
11.4
Apply the
Pythagorean
Theorem and its
Converse
11.2
Simplify Radical
Expressions
11.3
Solve Radical Equations
ALGEBRA 1: Chapter 11 Learning Targets
Radicals and Geometry Connections
SEC
11.1
TOPIC
Graph Square
Root Functions
11.2
Simplify
Radical
Expressions
EXP.
TARGET
I can identify the parent function for a square root function:
I can graph a square root function by making a table, plotting points, and drawing a smooth curve through the points.
I can compare a square root function to the parent square root function.
I can identify the domain and range of a given square root function.
I can identify the values of a, h, and k in a square root equation and use the values to graph that square root function.
I can use the product property of radicals to simplify a radical expression:
I can multiply radical expressions:
I can use the quotient property of radicals to simplify a radical expression:
11.3
Solve Radical
Equations
11.4
Apply the
Pythagorean
Theorem and its
Converse
Apply the
Distance and
Midpoint
Formulas
11.5
I use the properties of radicals and exponents to simplify radical expressions:
I can rationalize the denominator of a fraction (re-write a fraction with a radical in the denominator as an equivalent
fraction with radicals only in the numerator.)
I can add and subtract radical expressions.
I can multiply radical expressions.
I can solve a radical equation by isolating the radical expressions and them squaring both sides of the equation.
I can solve an equation with radicals on both sides of the equal sign by squaring both sides.
I can solve a radical equation and then check for, and eliminate, any extraneous solutions.
I can identify the sides of a right triangle that represent a, b, and c in the Pythagorean Theorem.
I can use the Pythagorean Theorem to find the length of one side of a right triangle, given the other two side lengths.
I can determine if three given side lengths are the sides of a right triangle.
I can find the distance between two points, using the distance formula:
I can find a missing coordinate of a point, using the distance formula.
I can find the midpoint between two points:
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