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Probability and Counting - Single Event - Advanced

Unit 3

This math unit begins with a focus on understanding permutations involving the arrangement of letters and cards, systematically increasing in complexity from arranging sets of 3 to sets of 5 items without repetition. Initially, students express solutions through straightforward multiplication equations, transitioning into factorial notation as their understanding deepens. Throughout these initial topics, students enhance their capacity to manipulate and calculate factorials and permutations, foundational elements of probability and statistics. Midway through the unit, the focus shifts to probability and statistics principles involving shapes and colors. These lessons build on single-event probabilities, starting from calculating percentages, transitioning into decimal representations, and later reintroducing percentages. Students practice scenarios where they calculate the likelihood of picking certain shapes or colors from sets containing varying shapes in multiple colors. Each step gradually introduces more complex scenarios, requiring students to strengthen their skills in basic probability and fractional, decimal conversions. Finally, the unit ends with factorials revisited, translating factorial problems back into multiplication strings, ensuring a firm grasp of the connections between factorial operations and their expression in sequential multiplications. This progression not only deepens understanding of permutations and probability but also integrates these concepts practically into real-world scenarios, enhancing overall mathematical literacy.

Skills you will learn include:

Foundational Units
Builds Towards

Activity & Progress

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Started

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Learning through Game Play

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This math topic centers on introductory probability, focusing on calculating the chances of drawing specific shapes from...

This math topic focuses on basic probability concepts using shapes and colors. Students practice calculating the probability...

This math topic focuses on introductory probability and counting. It tests understanding by asking students to calculate...

This math topic focuses on probability counting related to drawing shapes and colors from a bag, converting these probabilities...

This math topic focuses on probability counting involving shapes and colors. It teaches how to calculate the probability...

This math topic focuses on introductory probability and counting involving single events. It entails calculating the likelihood...

This math topic focuses on introductory probability and counting involving simple events. It presents problems where students...

This math topic focuses on calculating the probability of selecting an object of a specific shape and color from a bag, and...

This math topic practices calculating the probability of drawing a specific shape and color combination from a set, and expressing...

This math topic focuses on introductory probability and counting involving single events. Specifically, students calculate...

This math topic focuses on understanding how to calculate the number of distinct ways to order sets of letter tiles, where...

This math topic focuses on probability counting involving shapes in a single set containing one specific shape colored differently....

This topic explores the conversion of simple multiplication sequences into their factorial equivalents, rooted in concepts...

This math topic focuses on calculating the number of distinct ways to order sets of 5 cards, each configuration without repetitions....

This math topic focuses on the skill of determining the number of ways to arrange 5 distinct letter tiles using permutation...

This math topic focuses on introductory probability and counting techniques involving objects with different shapes and colors....

This math topic focuses on calculating the number of distinct ways to order a set of 4 letters without repetition, using...

This topic covers the concept of permutations in probability, specifically focusing on calculating the number of distinct...

This math topic focuses on calculating the number of distinct ways to order a set of 5 letter tiles, with no repetitions....

This math topic focuses on probability and counting, specifically on calculating the likelihood of selecting a specific shape...

This math topic focuses on the concept of permutations in probability and statistics. It specifically deals with calculating...

Probability - Dice (1), All Specific, To Fraction (Level 1)

Topic 22

This math topic focuses on calculating probabilities related to rolling different numbers on a dice. The problems require...

Exercises for this topic are done in Unit Mastery.

This math topic focuses on foundational concepts in probability and statistics, specifically concerning permutations and...

This math topic focuses on calculating the number of distinct ways to order a set of three letters with no repetitions, and...

This math topic focuses on probability and specifically explores different ways to order a set of 3 distinct cards without...

This math topic focuses on the foundational concepts of probability and counting, specifically in determining the number...

This math topic focuses on calculating the probability of different ways to order a set of 4 letter tiles without repetition....

This math topic focuses on the permutations and combinations involved in ordering a set of four cards without repeats. Each...

This math topic focuses on calculating the number of distinct ways to order 4 cards without repetitions, showing each calculation...

This math topic focuses on permutations and combinations, specifically dealing with the probability of ordering a set of...

This math topic focuses on calculating the number of distinct ways to order three cards with no repetitions, presented as...

Probability - Dice (1), Not All Specific, To Fraction (Level 1)

Topic 32

This math topic involves calculating the probability of not rolling a specific number on a dice, using fractions to express...

Exercises for this topic are done in Unit Mastery.

This math topic focuses on converting factorials into their respective multiplication strings, a specific skill within the...

This math topic focuses on calculating factorials, specifically involving their values to solve problems (Level 1 difficulty)....

This math topic focuses on probability counting involving shapes and colors. Specifically, students practice calculating...

This math topic focuses on probability counting related to single events, specifically extracting fractions representing...

This math topic focuses on the introductory concepts of probability and counting involving single events. It specifically...

This math topic focuses on basic probability problems involving single events. The problems involve calculating the likelihood...

This math topic focuses on introductory probability and counting involving single events. Students practice calculating the...

This math topic focuses on the probability of drawing different colored shapes from a bag. It helps students calculate the...

This math topic focuses on introductory probability with an emphasis on counting single events involving shapes. Students...

Probability - Dice (1), Not All Specific, To Fraction Equation (Level 1)

Topic 42

This math topic focuses on calculating the probability of not rolling a specific number on a six-sided dice. Each problem...

Exercises for this topic are done in Unit Mastery.

This math topic focuses on basic probability concepts, specifically dealing with the likelihood of drawing a specific shape...

This math topic explores probability through the concept of drawing shapes from a bag. Each question presents different scenarios...

This math topic focuses on introductory probability, specifically on calculating the likelihood of drawing a specific shape...

This math topic focuses on probability related to shapes and colors. It practices determining the likelihood of drawing a...