Students will use the inscribed angle theorem to find the measures of unknown angles. Students will Prove relationships between inscribed angles and central angles.
Students apply their understanding of arc length and area of sectors.
This lesson explains how the graph of a function may be shifted up or down.
The goal of this task is to represent an exponential relationship by an equation and identify, using knowledge of the context and the structure of the equation, possible graphs for the equation.
In this Khan Academy activity, students will apply the Polynomial Remainder Theorem to problems.
This video finds the remainder of (-3x^3-4x^2+10x-7) divided by (x-2) using the PRT (Polynomial Remainder Theorem).
Students are presented with a surface, though not by that name, and asked to consider the process of modeling its volume by that of a cylinder or a cone. The task also provides ample opportunity for open-ended reasoning, as the lack of more explicit information about the surface makes a standard volume formula impossible.
This video uses volume of a rectangular prism to solve a word problem.
This activity provides seven word problems using the volume of prisms to solve word problems.
This activity provides four problems using the volume of cylinders, spheres, and cones to solve word problems.
Worksheet on the volume of prisms and cylinders.
Worksheet on the volume of pyramids and cones.
The formula for the volume of a cone is V=1/3h*pi*r^2. Students learn how to use this formula to solve an example problem.
This video explains how to find the volume of a rectangular prism fish tank that has fractional side lengths.
The formula for the volume of a sphere is V = 4/3*pi*r^3. Students see the formula used in an example where they are given the diameter of the sphere.
Students will use the Rational Zero Theorem to find all rational zeros of a polynomial.
This task is not designed to discover the definition of radian, rather it allows students to make meaning out of the definition.
Students sample random latitude and longitude coordinates from the contiguous United States, display these locations on a map, and then determine whether or not the point is within one mile of a road.
Students drop and catch a yardstick to determine if there is significant evidence (via a matched pairs randomization test) that people are faster with their dominant than their non- dominant hand.
The purpose of this task is to understand the process of making inferences about a population based on a random sample from that population.