## Probability syllabus for 6th grade

Here are some key aspects of the math curriculum for probability for students aged 11 to 12:

1. Introduction to Probability: Students are introduced to the concept of probability, which is the likelihood or chance of an event occurring. They learn to identify and describe events as certain, likely, unlikely, or impossible. They explore the use of words and phrases such as "certain," "likely," "unlikely," "equally likely," and "impossible" to describe the probability of events.

2. Experimental Probability: Students learn to conduct simple experiments or simulations to determine the probability of an event. They collect data by performing experiments and analyze the results to estimate probabilities. They compare experimental results with expected or theoretical probabilities.

3. Probability Scale: Students learn to represent probabilities using a probability scale or a number line from 0 to 1. They understand that the probability of an event falling between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.

4. Simple Probability: Students explore the concept of simple probability, where all outcomes are equally likely. They learn to calculate the probability of an event by dividing the number of favorable outcomes by the total number of possible outcomes. They solve simple probability problems using fractions, decimals, or percentages.

5. Experimental and Theoretical Probability: Students compare and contrast experimental probability (based on data from experiments) with theoretical probability (based on calculations and mathematical models). They understand that theoretical probability represents the expected or predicted probabilities, while experimental probability is based on observed outcomes.

6. Probability in Real-Life Contexts: Students apply probability concepts to solve problems in real-life contexts. They explore probability in games, sports, weather forecasts, and other practical situations. They analyze and interpret probability information to make informed decisions or predictions.

7. Critical Thinking and Reasoning: Students engage in critical thinking activities to analyze and evaluate the validity and reliability of probability information. They use logical reasoning skills to explain their thinking, justify their solutions, and communicate their understanding of probability concepts.

Throughout the curriculum, students engage in hands-on activities, simulations, and real-life applications to reinforce their understanding of probability. They develop their skills in data collection, analysis, logical reasoning, and mathematical communication.

## Probability sub-categories for 6th grade

1. Expressing probability

## Probability topics by sub-category

#### Probability   →   Expressing probability   →   Describing outcomes

How likely is the event?

Decide whether each of the given events is likely, unlikely, certain or impossible

#### Probability   →   Expressing probability   →   Express as a fraction

Standard events

For each scenario work out the probability of the outcome as a fraction