Georgia Performance Standards
SIXTH GRADE
Data Analysis and Probability
Students will demonstrate understanding of data analysis by posing questions to be answered by collecting data. They will represent, investigate, and use data to answer those questions. Students will understand experimental and theoretical probability.
M6D2. Students will use experimental and simple theoretical probability and understand the nature of sampling. They will also make predictions from investigations.
a. Predict the probability of a given event through trials/simulations (experimental probability), and represent the probability as a ratio.
b. Determine, and use a ratio to represent, the theoretical probability of a given event.
c. Discover that experimental probability approaches theoretical probability
when the number of trials is large.
Process Standards
Each topic studied in this course should be developed with careful thought toward helping every student achieve the following process standards.
See below for specific standards.
SEVENTH GRADE
Process Standards
The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
See below for specific standards.
EIGHTH GRADE
Data Analysis and Probability
Students will use and understand set theory and simple counting techniques; determine the theoretical probability of simple events; and make inferences from data, particularly data that can be modeled by linear functions.
M8D2. Students will determine the number of outcomes related to a given event.
a. Use tree diagrams to find the number of outcomes.
b. Apply the addition and multiplication principles of counting.
M8D3. Students will use the basic laws of probability.
a. Find the probability of simple independent events.
b. Find the probability of compound independent events.
M8D4. Students will organize, interpret, and make inferences from statistical data.
a. Gather data that can be modeled with a linear function.
b. Estimate and determine a line of best fit from a scatter plot.
Process Standards
The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.
See below for specific standards.
ALL GRADES
Process Standards
P1. Students will solve problems (using appropriate technology).
a. Build new mathematical knowledge through problem solving.
b. Solve problems that arise in mathematics and in other contexts.
c. Apply and adapt a variety of appropriate strategies to solve problems.
d. Monitor and reflect on the process of mathematical problem solving.
P2. Students will reason and evaluate mathematical arguments.
a. Recognize reasoning and proof as fundamental aspects of mathematics.
b. Make and investigate mathematical conjectures.
c. Develop and evaluate mathematical arguments and proofs.
d. Select and use various types of reasoning and methods of proof.
P3. Students will communicate mathematically.
a. Organize and consolidate their mathematical thinking through
communication.
b. Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
c. Analyze and evaluate the mathematical thinking and strategies of others.
d. Use the language of mathematics to express mathematical ideas precisely.
P4. Students will make connections among mathematical ideas and to other disciplines.
a. Recognize and use connections among mathematical ideas.
b. Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.
c. Recognize and apply mathematics in contexts outside of mathematics.
P5. Students will represent mathematics in multiple ways.
a. Create and use representations to organize, record, and communicate mathematical ideas.
b. Select, apply, and translate among mathematical representations to solve problems.
c. Use representations to model and interpret physical, social, and mathematical phenomena.
