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⭐ Connecting Probability and Data Relationships to Essential Key Concepts ⭐️
Exploring Probability and Data Relationships offers authentic opportunities to revisit the Essential Key Concepts of Fractional Reasoning and Proportional Reasoning:
B1.4 → Read, represent, compare, and order decimal numbers to thousandths
Converting experimental probabilities such as 0.375 and 0.5 and ordering them on a probability line lets students compare decimals in context
B2.4 → Add and subtract decimal numbers using estimation and algorithms
Adding or subtracting decimal probabilities (e.g., exploring how shifting outcomes affects overall probability) reinforces decimal addition/subtraction skills
B2.5 → Add and subtract fractions with like and unlike denominators
Calculating combined probabilities by adding fractional probabilities gives students a meaningful chance to add unlike fractions
B2.12 → Solve problems involving ratios, including percents and rates
Students calculate the probability of drawing a red marble from a bag containing 3 red and 7 blue marbles, expressing the probability a a ratio (3:10), and representing it (at 3/10) on a probability line
Expectation Cluster
Expectation Cluster
D1.5 determine the range as a measure of spread and the measures of central tendency for various data sets, and use this information to compare two or more data sets
D1.6 analyse different sets of data presented in various ways, including in histograms and broken-line 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 describe the likelihood that events will happen, and use that information to make predictions
D2.1 use fractions, decimals, and percents 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 two independent events happening
Process Expectation Focus: Reasoning and Proving, 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:
colour tiles
snap cubes
spinners
dice
coins
Virtual Learning Resources and Tools:
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