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Mathematics - Secondary Curriculum Mathematics Grade 7
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Use random sampling to draw inferences about a population (Standards 7.SP.1-2). Draw informal comparative inferences about two populations (Standards 7.SP.3-4). Investigate chance processes and develop, use, and evaluate probability models (Standards 7.SP.5-8).

Standard 7.SP.8

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

  • Chapter 7 - Mathematical Foundation (UMSMP)
    This is Chapter 7 of the Utah Middle School Math: Grade 7 textbook. It provides a Mathematical Foundation for Expressions and Equations II - Real-world equations, Inequalities.
  • Chapter 7 - Student Workbook (UMSMP)
    This is Chapter 7 of the Utah Middle School Math: Grade 7 student workbook. It focuses on Probability and Statistics.
  • Conditional Probability and Probability of Simultaneous Events
    This lesson plan is designed to help students understand and use the formula for probability of simultaneous independent events.
  • Evaluating Statements About Probability
    This lesson unit addresses common misconceptions relating to probability of simple and compound events. The lesson will help educators assess how well students understand concepts of equally likely events, randomness, and sample sizes.
  • Experimental Probability
    Using devices such as spinners and dice, students can conduct probability experiments in this lesson plan's applet.
  • Fire: Modeling Probability
    This lesson is designed to help students understand probability and chance and understand it in real life situations.
  • Grade 7 Math Module 5: Statistics and Probability (EngageNY)
    In this module, students begin their study of probability, learning how to interpret probabilities and how to compute probabilities in simple settings. They also learn how to estimate probabilities empirically. Probability provides a foundation for the inferential reasoning developed in the second half of this module. Additionally, students build on their knowledge of data distributions that they studied in Grade 6, compare data distributions of two or more populations, and are introduced to the idea of drawing informal inferences based on data from random samples.
  • Grade 7 Unit 6: Statistics (Georgia Standards)
    In this unit students will: Analyze data from many different sources such as organized lists, box-plots, bar graphs, histograms and dot plots. Understand that responses to statistical questions may vary. Understand that data can be described by a single number. Determine quantitative measures of center (median and/or mean). Determine quantitative measures of variability (interquartile range and range).
  • Introduction to the Concept of Probability
    The goals of this lesson are that students will understand the definition of probability, outcomes in probability, and know how to calculate experimental probability.
  • Marbles
    This activity helps the student understand randomness and probability by pulling marbles out of a bag.
  • Probability
    Students learn about probability in this lesson by predicting the outcome of experiments and playing racing games.
  • Probability and Geometry (elementary)
    This lesson asks students to practice calculating probability and understand how probability problems can be solved with the help of geometry.
  • Probability of Dependent and Independent Events
    This Teaching Channel video shows how students can identify and create examples of independent and dependent events. (Common Core Standards Math.7.SP.8a) (5 minutes)
  • Probability of Dependent Events video
    This is a video introduction and explanation of the topic.
  • Probability Space
    In this video students learn the meaning of the phrase "probability space for random events." They learn about the origin of the idea in the 16th century and then apply their understanding via a dice game in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Probability: Playing with Fire
    This lesson is designed to help students understand possible outcomes of a probability experiment.
  • Probability: Tell the Future
    A Flocabulary hip-hop song explains and demonstrates ways to express probability in this lesson. To expand their understanding students toss coins and record the results in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Racing Game with One Die
    Students can simulate a race between two cars with the roll of a die and learn about probability through this activity.
  • Racing Game with Two Dice
    By using the applet embedded in this lesson plan, students can simulate a race and learn about probability.
  • Random Coin Toss
    In this interactive from Annenberg students use a tree diagram to record the results of coin tosses to help them understand probability. The classroom activity extends this understanding to compare theoretical and experimental probability. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • Replacement and Probability
    This lesson will help students learn the difference between sampling with and without replacement.
  • Spinner
    By manipulating a spinner and its pointer students will learn about probability in this activity.
  • Student Task: Card Game
    In this task, students will use probability to make predictions about a card game.
  • Student Task: Charity Fair
    Ann is in charge of a "Lucky Dip" game to raise money for charities. In this task, students use the rules of probability to advise Ann on how to improve the game so that it raises more money.
  • Student Task: Spinner Bingo
    In this task, students must use math to figure out the best way to play a number bingo game.
  • Students Task: Lottery
    In this task, students must use math to decide whether a lottery idea will make money.
  • Your Odds of Winning Powerball: Probabilities of Compound Events Using Visuals
    The sobering odds of winning at Powerball are made clear in this video. Students then create their own models of lotteries to help them understand the probability of compound events. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.

UEN logo - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey  Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.