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⭐ Connecting Probability and Data Relationships to Essential Key Concepts ⭐️
Exploring Probability offers authentic opportunities to revisit the Essential Key Concepts of Number Sense and Operational Sense:
B1.2 → Compare and order whole numbers
Students order a data set in order to determine the median
B2.1 → Use the properties of operations to solve problems requiring more than one operation
Students add the values of a data set then divide the sum by the number of values in order to determine the mean
Expectation Cluster
Expectation Cluster
D1.5 determine the mean and the median and identify the mode(s), if any, for various data sets involving whole numbers, and explain what each of these measures indicates about the data
D1.6 analyse different sets of data presented in various ways, including in stem-and-leaf plots and multiple-bar graphs, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions
D2.1 use mathematical language, including the terms “impossible”, “unlikely”, “equally likely”, “likely”, and “certain”, to describe the likelihood of events happening, represent this likelihood on a probability line, and use it to make predictions and informed decisions
D2.2 make and test predictions about the likelihood that the mean, median, and mode(s) of a data set will be the same for data collected from different populations
Process Expectation Focus: Representing, Communicating
Organize your observations of student learning related to the key concepts and skills for this topic:
Explore a menu of possible MathUP lessons, Building Fluency lessons, problems, explorations and games.
During this topic, pay attention to the students' ability to think critically and creatively.
Do students connect the mathematics they are learning to familiar contexts?
Do students use their mathematical thinking to make and justify decisions?
Do students use mathematics to help them identify and/or address important social issues?
Models and Tools
Models and Tools
Concrete Learning Resources Tools:
snap cubes
counters
spinners
dice
tiles
grid paper
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