Embedded Files
⭐ Connecting Probability and Data Relationships to Essential Key Concepts ⭐️
Exploring Probability offers authentic opportunities to revisit the Essential Key Concepts of Fractional and Decimal Reasoning and Operations and Proportional Reasoning:
B1.5 → Read, represent, compare, and order decimal numbers up to hundredths
Students list data points in order from smallest to largest to find the median value accurately
B1.6 → Round decimal numbers to the nearest tenth
After running 100 trials of a spinner and calculating the probability of landing on green (e.g., 0.37), students round it to 0.4 to report a clear, communicable result
B1.7 → Equivalences among fractions, decimal numbers up to hundredths, and whole number percents
Students convert probabilities such as 0.25 to 25% or 1/4 and represent on a number line, visually reinforcing equivalences when summarizing their data
B2.9 → Represent and create equivalent ratios and rates
In 30 successes out of 120 trials, students write the ratio 30 : 120 = 1 : 4 and interpret this as a 25% (or 0.25) success rate
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 decimal 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 stacked-bar graphs and in misleading graphs, by asking and answering questions about the data, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions
D2.1 use fractions to express the probability of events happening, represent this probability on a probability line, and use it to make predictions and informed decisions
D2.2 determine and compare the theoretical and experimental probabilities of an event happening
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:
dice
two-sided counters
spinners
Virtual Learning Resources and Tools:
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