Lines: Math, Problem Solving, and Critical Thinking!

Description

This problem-set is part geometry, part mystery!

In this problem-set, students will experiment, draw, collect data, look for patterns and think carefully about what is known, along with what is unknown – all so that they can decide if it’s even possible to solve the problem!

Challenge your students to use what they know about geometry, patterns, and experimentation, along with their critical thinking, and problem-solving skills to figure out if they can actually determine the number of lines their friend drew. They’ll need to think carefully about what they know, as well as what they don’t know, and how they can use patterns to build as complete a picture as possible, all in an effort to determine if they can even solve the problem!

This download includes a complete problem-solving journey to get your students thinking, including 2 unique, engaging, problem-solving tasks; the Problem, and its Exstemsion.

Created by teachers, with teachers and parents in mind, each task is built to challenge students to use their prior knowledge, and think creatively as they strive to solve the context-driven problems.

This download includes the following additional teaching tools:

•Thinking skills (what kind of thinking are kids building here?)

•Problem/Solution

•Exstemsion/Solution

•Supporting Questions (ideas for the questions you might as a student when they are stuck, place where they are most likely to get stuck!)

•Big Ideas (what are the math ideas built through this problem?)

No PREP required! Each challenge is ready to PRINT, and comes with an easy to use, 100% complete, and detailed solution!

Math Category: 2-D Geometry, discrete mathematics, critical and logical thinking, and problem solving

Perfect for grades 6+

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Lines: Math, Problem Solving, and Critical Thinking!

Name: Lines: Math, Problem Solving, and Critical Thinking!
Brand: exSTEMsions
SKU: 4981903
Price: 1.50 USD
Availability: InStock

exSTEMsions

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$1.50

Highlights

Digital downloads

PDF

Grades

6th - 12th

Subjects

Math, Other (Math)

Standards

CCSSMP1

CCSSMP2

CCSSMP4

Save even more with bundles

Number Sense and Arithmetic Bundle

This bundle includes 4 unique sets of context-driven problem-solving activities. Each of the problems in this bundle ask students to use number sense, arithmetic, and logical thinking skills to conquer math problems in that ask them to think about numbers in different ways. Students will build flexi

Price $4.75Original Price $6.00Save $1.25

Description

This problem-set is part geometry, part mystery!

This download includes a complete problem-solving journey to get your students thinking, including 2 unique, engaging, problem-solving tasks; the Problem, and its Exstemsion.

This download includes the following additional teaching tools:

•Thinking skills (what kind of thinking are kids building here?)

•Problem/Solution

•Exstemsion/Solution

•Supporting Questions (ideas for the questions you might as a student when they are stuck, place where they are most likely to get stuck!)

•Big Ideas (what are the math ideas built through this problem?)

No PREP required! Each challenge is ready to PRINT, and comes with an easy to use, 100% complete, and detailed solution!

Math Category: 2-D Geometry, discrete mathematics, critical and logical thinking, and problem solving

Perfect for grades 6+

Report this resource to TPT

Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Questions & Answers

Standards

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

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.

CCSSMP4

Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.