General Information
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Test Item Specifications
- Equally likely events
- Randomness
- Sample sizes
N/A
Neutral
Required
Sample Test Items (3)
Test Item # | Question | Difficulty | Type |
Sample Item 1 | The local weather report stated there is a
|
N/A | MC: Multiple Choice |
Sample Item 2 | The weather report stated there is a What is a possible probability of rain on Saturday? |
N/A | EE: Equation Editor |
Sample Item 3 | The local weather report states that there is more than a What is the likelihood that it will rain on Saturday?
|
N/A | MC: Multiple Choice |
Related Courses
Course Number1111 | Course Title222 |
1205040: | M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1205050: | M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 - 2024, 2024 and beyond (current)) |
2002050: | M/J Comprehensive Science 1, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
2002070: | M/J Comprehensive Science 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
2002080: | M/J Comprehensive Science 2, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
2001020: | M/J Earth/Space Science, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
2000020: | M/J Life Science, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
2003010: | M/J Physical Science (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
2003020: | M/J Physical Science, Advanced (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1204000: | M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1508200: | M/J Team Sports - Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2019 (course terminated)) |
1508300: | M/J Outdoor Pursuits/Aquatics - Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2019 (course terminated)) |
1508700: | M/J Comprehensive - Grades 7/8 (Specifically in versions: 2014 - 2015, 2015 - 2019 (course terminated)) |
7812020: | Access M/J Grade 7 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current)) |
7820016: | Access M/J Comprehensive Science 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2023, 2023 and beyond (current)) |
2002055: | M/J Comprehensive Science 1 Accelerated Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1508020: | M/J Team Sports - Grade 7 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1508030: | M/J Outdoor Pursuits/Aquatics - Grade 7 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
1508070: | M/J Comprehensive Physical Education Grade 7/8 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current)) |
Related Resources
Formative Assessments
Name | Description |
Probability or Not? | Students are asked to determine whether or not a given number could represent the probability of an event. |
Likely or Unlikely? | Students are asked to determine the likelihood of an event given a probability. |
Likelihood of an Event | Students are asked to determine the likelihood of an event given a probability. |
Evaluating Statements About Probability | This lesson unit addresses common misconceptions relating to probability of simple and compound events. The lesson will help you assess how well students understand concepts of:
|
Lesson Plans
Name | Description |
Basic Probability Concepts | This lesson is meant to build on students knowledge of probability. It is designed to teach and reinforce the concept that all probabilities are a number somewhere between zero and one. |
Tree Diagrams and Probability | This lesson is designed to develop students' ability to create tree diagrams and figure probabilities of events based on those diagrams. This lesson provides links to discussions and activities related to tree diagrams as well as suggested ways to work them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one. |
Evaluating Statements About Probability | This lesson unit addresses common misconceptions relating to the probability of simple and compound events. The lesson will help you assess how well students understand concepts of equally likely events, randomness and sample sizes. |
Ideas that Lead to Probability | This lesson is designed to introduce students to random numbers and fairness as a precursor to learning about probability. The lesson provides links to discussions and activities related to probability and fairness as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with this one.
|
Probability | This lesson is designed to develop students' understanding of probability in real life situations. Students will also be introduced to running experiments, experimental probability, and theoretical probability. This lesson provides links to discussions and activities related to probability as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one. |
When Pigs Fly | In this lesson students will explore probability and likelihood that an event will occur. They will place both serious and silly events on a number line, once they have assigned a value to that event. They will work with a group and then justify their classifications to their peers. |
Practically Probable | In this lesson, students will differentiate between likely and unlikely event, as well as learn the difference between dependent and independent events. Finally, they learn how to compute theoretical probabilities in simple experiments. |
Planning the perfect wedding | Students will decide what is the best month to celebrate an outdoor wedding. The couple is looking for the perfect wedding day. What is the definition of a perfect day? It has to be a Saturday or Sunday with a 20% or less probability of rain and sunny but not too hot. Based on the information provided , students will find the month in which the probability of having a rainy day and the probability of having a super hot day (temperature higher than 75º F) are minimal. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
Probabilities and Punnett Squares | Students simulate the process of meiosis for an alien society. The students choose physical characteristics for hair, nose and eyes corresponding to genes and then generate two alien babies. Then pictures of the parents and babies are drawn, with similarities and differences noted and explained. |
Roll of the Dice and Some Turkey Fun! | Students will conduct experiments on their own to experience the difference between experimental and theoretical probabilities. |
A Roll of the Dice | What are your chances of tossing a particular number on a number cube? Students collect data by experimenting and then converting the data in terms of probability. By the end of the lesson, students should have a basic understanding of simple events. |
Beads in a Bowl | This activity will allow students to explore the concept of simple probability using a random selection of multi-colored beads. |
Introduction to Probability | This resource is designed to introduce students to the concept of probability: the probability of a rare event is represented by a positive number close to zero, the probability of a nearly certain event occurring is represented by a positive number slightly less than one. Students will indicate the approximate probability of events on a number line and determine which events are more likely than others. |
Original Student Tutorial
Name | Description |
Introduction to Probability | Learn how to calculate the probability of simple events, that probability is the likeliness of an event occurring, and that some events may be more likely than others to occur in this interactive tutorial. |
Perspectives Video: Expert
Name | Description |
History of Probability and the Problem of Points | What was the first question that started probability theory? Download the CPALMS Perspectives video student note taking guide. |
Problem-Solving Task
Name | Description |
The Titanic 1 | This task asks students to calculate probabilities using information presented in a two-way frequency table. |
Text Resource
Name | Description |
Shuffling Shenanigans | This informational text resource is intended to support reading in the content area. A student in love with magic card tricks asks and answers his own math questions after pursuing a career as a mathematician in order to solve them. How many times must a deck be shuffled to achieve a truly random mix of cards? The answer lies within. |
Tutorial
Name | Description |
The Limits of Probability | This video discusses the limits of probability as between 0 and 1. |
Virtual Manipulatives
Name | Description |
Fire!! | In this activity, students burn a simulated forest and adjust the probability that the fire spreads from one tree to the other. This activity allows students to explore the idea of chaos in a simulation of a realistic scenario. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet. This activity would work well in mixed ability groups of two for about 30-35 minutes if you use the provided exploration questions and 10-15 minutes otherwise. |
Spinner | In this activity, students adjust how many sections there are on a fair spinner then run simulated trials on that spinner as a way to develop concepts of probability. A table next to the spinner displays the theoretical probability for each color section of the spinner and records the experimental probability from the spinning trials. This activity allows students to explore the topics of experimental and theoretical probability by seeing them displayed side by side for the spinner they have created. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet. |
Random Drawing Tool - Individual Trials (Probability Simulation) | This virtual manipulative allows one to make a random drawing box, putting up to 21 tickets with the numbers 0-11 on them. After selecting which tickets to put in the box, the applet will choose tickets at random. There is also an option which will show the theoretical probability for each ticket. |
Student Resources
Original Student Tutorial
Name | Description |
Introduction to Probability: | Learn how to calculate the probability of simple events, that probability is the likeliness of an event occurring, and that some events may be more likely than others to occur in this interactive tutorial. |
Problem-Solving Task
Name | Description |
The Titanic 1: | This task asks students to calculate probabilities using information presented in a two-way frequency table. |
Tutorial
Name | Description |
The Limits of Probability: | This video discusses the limits of probability as between 0 and 1. |
Virtual Manipulatives
Name | Description |
Spinner: | In this activity, students adjust how many sections there are on a fair spinner then run simulated trials on that spinner as a way to develop concepts of probability. A table next to the spinner displays the theoretical probability for each color section of the spinner and records the experimental probability from the spinning trials. This activity allows students to explore the topics of experimental and theoretical probability by seeing them displayed side by side for the spinner they have created. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet. |
Random Drawing Tool - Individual Trials (Probability Simulation): | This virtual manipulative allows one to make a random drawing box, putting up to 21 tickets with the numbers 0-11 on them. After selecting which tickets to put in the box, the applet will choose tickets at random. There is also an option which will show the theoretical probability for each ticket. |
Parent Resources
Problem-Solving Task
Name | Description |
The Titanic 1: | This task asks students to calculate probabilities using information presented in a two-way frequency table. |