6.G.GMD.3 Identify the shapes of two-dimensional CC.G.GMD.4 Building and of three dimensional objects, and measuring identify three-dimensional objects generated structures and by rotations of two-dimensional objects. objects MODELING WITH GEOMETRY (MG) Apply geometric concepts in modeling situations. 6.G.MG.1 Apply geometric methods to solve design CC.G.MG.3 Building and problems (e.g., designing an object or measuring structure to satisfy physical constraints or structures and minimize cost; working with typographic grid objects systems based on ratios).★ CONDITIONAL PROBABILITY AND THE RULES OF PROBABILITY (CP) Understand independence and conditional probability and use them to interpret data. 6.S.CP.1 Describe events as subsets of a sample space CC.S.CP.1 Tossing a coin or (the set of outcomes) using characteristics (or rolling a die categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”). 6.S.CP.2 Understand that two events A and B are CC.S.CP.2 Tossing a coin or independent if the probability of A and B rolling a die occurring together is the product of their probabilities, and use this characterization to determine if they are independent. 6.S.CP.3 Understand the conditional probability of A CC.S.CP.3 Tossing a coin or given B as P(A and B)/P(B), and interpret rolling a die independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. 6.S.CP.4 Construct and interpret two-way frequency CC.S.CP.4 Estimating the tables of data when two categories are ESS01.03.06 probability that a associated with each object being classified. randomly selected Use the two-way table as a sample space to student from class decide if events are independent and to will favor science. approximate conditional probabilities. For Do the same for example, collect data from a random sample of other subjects and students in your class on their favorite subject compare the among math, science, and English. results
6.G.GMD.3 Identify the shapes of two-dimensional of three dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects. CC.G.GMD.4 Building and measuring structures and objects MODELING WITH GEOMETRY (MG) Apply geometric concepts in modeling situations. 6.G.MG.1 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).★ CC.G.MG.3 Building and measuring structures and objects CONDITIONAL PROBABILITY AND THE RULES OF PROBABILITY (CP) Understand independence and conditional probability and use them to interpret data. 6.S.CP.1 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”). CC.S.CP.1 Tossing a coin or rolling a die 6.S.CP.2 Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. CC.S.CP.2 Tossing a coin or rolling a die 6.S.CP.3 Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. CC.S.CP.3 Tossing a coin or rolling a die 6.S.CP.4 Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your class on their favorite subject among math, science, and English. CC.S.CP.4 ESS01.03.06 Estimating the probability that a randomly selected student from class will favor science. Do the same for other subjects and compare the results