Standards in Unit:
NC.7.SP.1 Understand that statistics can be used to gain information about a population by:
NC.7.SP.2 Generate multiple random samples (or simulated samples) of the same size to gauge the variation in estimates or predictions and use this data to draw inferences about a population with an unknown characteristic of interest.
NC.7.SP.3 Recognize the role of variability when comparing two populations.
a. Calculate the measure of variability of a data set and understand that it describes how the values of the data set vary with a single number.
b. Informally assess the difference between two data sets by examining the overlap and separations between the graphical representations of two data sets.
NC.7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw comparative inferences about two populations.
NC.8.SP.4 Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table.
NC.7.SP.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occuring.
NC.7.SP.6 Collect data to calculate the experimental probability of a chance event, observing its long-run relative frequency. Use this experimental probability to predict the approximate relative frequency.
NC.7.SP.7 Develop a probability model and use it to find probabilities of simple events
NC.7.SP.8 Determine probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
Summary of Unpacking for Each Standard:
NC.7.SP.1 -Students will understand the difference between a sample and a population and how the results of a fair, unbiased sample can be used to describe a population. Specifically, they will learn about the importance of randomization and representative samples of a population and how they can make inferences about the characteristics of a population.
NC.7.SP.2 -In this lesson, students will build on their understanding of variation from 6th grade to learn how generating and analyzing multiple samples gives better inferences about a population. They will apply data from multiple samples to make estimations, gauge the variation of the estimates, and predict the accuracy of the estimates.
NC.7.SP.3 -In this lesson, students will use different data representations and numerical values, specifically looking at overlap and separation in the representations, to compare the variability of two data sets. They will compare variability with respect to MAD, range, and IQR, understanding the concepts and calculations necessary to find each.
NC.7.SP.4 -This lesson focuses on using measures of center and variability together to compare data sets. Students use data gathered from two populations or samples to compare the centers using mean and median and the variability using MAD, IQR, and range. Additionally, students will use different graphical representations to compare the data sets visually. They will decide which measure is best used to represent and compare the given data, and they will analyze the data values based both on measures of center and spread.
NC.8.SP.4 -In 7th grade Honors, students will apply their 7th grade learning on probability and relative frequency to analyze categorical data in frequency tables. They will construct tables based on data and describe patterns of association within the tables. Specific addition and multiplication rules for probability are NOT the expectation at this level - students are understanding the concept, representation, and association through the tables.
NC.7.SP.5 -This is the students’ first introduction to the concept of probability as the likelihood that a chance event will occur. They will understand that probability increases as it approaches 1, and the probabilities of all possible events occurring must add to 1. Students should be comfortable representing probability using decimal, percent, and fraction notation.
NC.7.SP.6 -Students discover that experiments can be used to gather data on relative frequency, which can predict the probability of chance events occurring. They will also discover that with multiple trials, the experimental probability will get closer to the theoretical probability, and they can extrapolate their experimental probability to predict the outcome of events.
NC.7.SP.7 -Students will understand the concept of a probability model, in which each outcome has an expected probability that can be used to predict outcomes numerically. Students will determine the probabilities, based on the sample space, and use them to calculate the chance of events occuring.
NC.7.SP.8 -Students will use models and visuals to determine the probabilities of multiple events. Again, at this level, addition and multiplication rules of probability are NOT the expectation, as students are developing the concept through modeling of multiple events occurring. They must be able to identify the sample space for an experiment, with or without replacement, and use it to determine the compound probability.
Prerequisite Skills:
Future Skills:
Key Vocabulary:
Cornerstone Task
Hunger Games Project: Directions (Teacher Version) (Links to an external site.)Links to an external site.
Worksheet (Links to an external site.)Links to an external site.
MTSS/Remediation Resources
Math Topic/DPI Bucket: Probability
Engage NY F2F Intervention: Grade 7, Module 5 (Links to an external site.)Links to an external site., Topics A and B
Edgenuity Online Intervention: Grade 7, Probability Unit
Math Topic/DPI Bucket: Population Samples
Engage NY F2F Intervention: Grade 7, Module 5 (Links to an external site.)Links to an external site., Topic C
Edgenuity Online Intervention: Grade 7, Sampling and Comparing Populations Unit, Lessons 1-5
Math Topic/DPI Bucket: Comparing Populations
Engage NY F2F Intervention: Grade 7, Module 5 (Links to an external site.)Links to an external site., Topic D
Edgenuity Online Intervention: Grade 7, Sampling and Comparing Populations Unit, Lessons 6-10