The Mathematics of Bowling | Math Exploration

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Mr Kugie's Curriculum

223 Followers

Grade Levels

5th - 8th, Homeschool

Subjects

Math, Basic Operations, Numbers

Resource Type

Projects, Activities, Lesson

Standards

CCSS6.SP.A.3

CCSS6.SP.B.5c

CCSS7.SP.C.8

CCSSMP1

CCSSMP2

Formats Included

Pages

17 pages

$4.99

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$4.99

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Mr Kugie's Curriculum

223 Followers

Description

Standards

¹¹

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Description

PURPOSE:

This inquiry-based exploration offers several opportunities for engaging with a truly real-world application of number reasoning, logic, probability, measures of central tendency, permutations, constructing a mathematical argument, designing an alternative, as well as mathematical computation throughout. Learners will explore the sport of bowling and specifically how it is scored to understand and analyze possible gameplay situations and scoring outcomes. The exploration is centered on the four levels of inquiry (Limited, Structured, Guided, and Open) and offers the facilitator choices for implementation of tasks which fall into each of these categories.

WHAT’S INCLUDED:

This product contains:

✏️ 7 pages of learner explorations divided up into Limited Inquiry, Structured Inquiry, Guided Inquiry, and Open Inquiry categories

✏️ Teacher instructions and lots of suggestions for implementing the explorations

✏️ Mathematics Education Best Practices

✏️ Full Answer Key included for all 7 pages of activities

✏️ Opportunity for extension or further exploration

STORY:

I really have appreciated my time working at an International Baccalaureate (I.B.) school. I have developed a deeper understanding and appreciation for creating explorations for learners that are rooted in inquiry. This year, I thought of a great end-of-year exploration of the sport of bowling and how it is scored to keep learners engaged and applying the mathematics from the year.

POSSIBLE EXTENSIONS:

Encourage early finishers to continue digging into the concepts and topics presented in this exploration on their own. Utilize the Open Inquiry activity on page 11.

MATERIALS/PRE-REQS:

Besides this file, you may require:

✏️ Computer with internet access

✏️ Grid paper for drafting more bowling scorecards

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Total Pages

17 pages

Answer Key

Included

Teaching Duration

3 hours

Last updated May 9th, 2023

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Standards

to see state-specific standards (only available in the US).

CCSS6.SP.A.3

Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

CCSS6.SP.B.5c

Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

CCSS7.SP.C.8

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

CCSSMP1

Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.

CCSSMP2

Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize-to abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents-and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.

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Mr Kugie's Curriculum

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223 Followers