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Common Core: Math
Subject: Math
123 Results

 Student Outcomes Students understand that an equation is a statement of equality between two expressions. When values are substituted for the variables in an equation, the equation is either true or...

 Student Outcomes Using square roots, students determine the position of the bottom of a ladder as its top slides down a wall at a constant rate.

 Student Outcomes Students know how to compute the average rate of change in the height of water level when water is poured into a conical container at a constant rate.

 Student Outcomes Students know how to determine the volume of a figure composed of combinations of cylinders, cones, and spheres.

 Student Outcomes Students know that truncated cones and pyramids are solids obtained by removing the top portion above a plane parallel to the base. Students find the volume of truncated cones.

 Student Outcomes Students use the Pythagorean Theorem to determine an unknown dimension of a cone or a sphere. Students know that a pyramid is a special type of cone with triangular faces and a...

 Student Outcomes Students apply the Pythagorean Theorem to real world and mathematical problems in two dimensions.

 Student Outcomes Students determine the distance between two points on a coordinate plane using the Pythagorean Theorem.

 Student Outcomes Students explain a proof of the converse of the Pythagorean Theorem. Students apply the theorem and its converse to solve problems.

 Student Outcomes Students know that the Pythagorean Theorem can be interpreted as a statement about the areas of similar geometric figures constructed on the sides of a right triangle. Students...

 Student Outcomes Students calculate the decimal expansion of pi using basic properties of area. Students estimate the value of expressions such as pi2.

 Student Outcomes Students use rational approximations of irrational numbers to compare the size of irrational numbers. Students place irrational numbers in their approximate locations on a number...

 Student Outcomes Students apply the method of rational approximation to determine the decimal expansion of a fraction. Students relate the method of rational approximation to the long division...

 Student Outcomes Students use rational approximation to get the approximate decimal expansion of numbers like the square root of 3 and the square root of 28. Students distinguish between rational and...

 Student Outcomes Students know the intuitive reason why every repeating decimal is equal to a fraction. Students convert a decimal expansion that eventually repeats into a fraction. Students know...

 Student Outcomes Students apply knowledge of equivalent fractions, long division, and the distributive property to write the decimal expansion of fractions.

 Student Outcomes Students know that the long division algorithm is the basic skill to get divisionwithremainder and the decimal expansion of a number in general. Students know why digits repeat in...

 Student Outcomes Students know the intuitive meaning of an infinite decimal.

 Student Outcomes Students know that every number has a decimal expansion (i.e., is equal to a finite or infinite decimal). Students know that when a fraction has a denominator that is the product of...

 Student Outcomes Students find the positive solutions for equations of the form x2 = p and x3 = p.

 Student Outcomes Students use factors of a number to simplify a square root.

 Student Outcomes Students know that the positive square root and cube root exists for all positive numbers and is unique. Students solve simple equations that require them to find the square or cube...

 Student Outcomes Students know that for most integers n, n is not a perfect square, and they understand the square root symbol. Students find the square root of small perfect squares. Students...

 Student Outcomes Students know that when the square of a side of a right triangle represented as a2, b2, c2 or is not a perfect square, they can estimate the side length as between two integers and...