# Geometric Mean Task Cards

Amazing Mathematics

7k Followers

Standards

CCSSMP6

CCSSMP2

CCSSMP1

CCSSHSG-SRT.C.8

CCSSHSG-SRT.C.6

Resource Type

Formats Included

Pages

14 pages

Amazing Mathematics

7k Followers

#### Also included in

- With this bundle you get my 13 Right Triangle & Trigonometry activities. You get 8 mazes, 3 sets of task cards, 1 SOH-CAH-TOA solve it puzzle pack, and 1 card sort activity.Save money by buying the bundle and be prepared for an entire unit of engaging activities!The following activities are inc$17.15$24.50Save $7.35
- This bundle includes all the notes, worksheets, & activities in my store that pertain to High School Geometry.Does this Include Digital Resources?As of October 2021 over 60% of this bundle includes a digital Google Slides or Forms option.Please view the preview to view the content list & whi$105.00$203.50Save $98.50

### Description

This is a set of 12 task cards in which students must use the Geometric Mean to solve for leg, altitude, and hypotenuse segment lengths in right triangles. Students will use both Geometric Mean Theorems in this exercise:

• The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments. The length of this altitude is the geometric mean between the lengths of these two segments.

• The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments. The length of a leg of this triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

Cards 1-10 get progressively harder.

Cards 11&12 are challenge cards that require the knowledge of how to solve quadratic equations.

Answer key and student response sheet included.

Please view the preview for a sample of the difficulty levels included in this product.

This product pairs very well with my Geometric Mean Maze.

o Click Here for more Triangle & Trigonometry activities

Right Triangles & Trigonometry Activity Bundle

High School Geometry Bundle - All My Geometry Products for 1 Low Price

-------------------------------------------------------------------------------------------------------

-------------------------------------------------------------------------------------------------------

• The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments. The length of this altitude is the geometric mean between the lengths of these two segments.

• The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments. The length of a leg of this triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

Cards 1-10 get progressively harder.

Cards 11&12 are challenge cards that require the knowledge of how to solve quadratic equations.

Answer key and student response sheet included.

Please view the preview for a sample of the difficulty levels included in this product.

This product pairs very well with my Geometric Mean Maze.

o Click Here for more Triangle & Trigonometry activities

**This product is also part of the following money saving bundles**Right Triangles & Trigonometry Activity Bundle

High School Geometry Bundle - All My Geometry Products for 1 Low Price

-------------------------------------------------------------------------------------------------------

**Sign up for my Secondary Math Newsletter**

to receive a Free Pi-Rate Plotting Points picture.to receive a Free Pi-Rate Plotting Points picture.

-------------------------------------------------------------------------------------------------------

**©Copyright Amazing Mathematics LLC***This product is to be used by the original purchaser only.*

This product can NOT be uploaded to the internet by the purchaser.

Doing so is a violation of the copyright of this product.

Copying for more than one teacher, or for an entire department, school,

or school system is prohibited.

This product may not be distributed or displayed digitally for public view, uploaded to school or district websites, distributed via email, or submitted to file sharing sites.

The unauthorized reproduction or distribution of a copyrighted work is illegal.

Criminal copyright infringement, including infringement without monetary gain, is investigated by the FBI and is punishable by fines and federal imprisonment.This product can NOT be uploaded to the internet by the purchaser.

Doing so is a violation of the copyright of this product.

Copying for more than one teacher, or for an entire department, school,

or school system is prohibited.

This product may not be distributed or displayed digitally for public view, uploaded to school or district websites, distributed via email, or submitted to file sharing sites.

The unauthorized reproduction or distribution of a copyrighted work is illegal.

Criminal copyright infringement, including infringement without monetary gain, is investigated by the FBI and is punishable by fines and federal imprisonment.

Total Pages

14 pages

Answer Key

Included

Teaching Duration

1 hour

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.

### Standards

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

CCSSMP6

Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions.

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.

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.

CCSSHSG-SRT.C.8

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

CCSSHSG-SRT.C.6

Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.