Gizmos for District of Columbia - Mathematics: High School: Geometry (Common Core State Standards adopted 2010) | ExploreLearning Gizmos (2024)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

CCSS.Math.Content.HSG-CO: : Congruence

CCSS.Math.Content.HSG-CO.A: : Experiment with transformations in the plane

CCSS.Math.Content.HSG-CO.A.1: : Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

CCSS.Math.Content.HSG-CO.A.2: : Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

CCSS.Math.Content.HSG-CO.A.3: : Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

CCSS.Math.Content.HSG-CO.A.4: : Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

CCSS.Math.Content.HSG-CO.A.5: : Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

CCSS.Math.Content.HSG-CO.B: : Understand congruence in terms of rigid motions

CCSS.Math.Content.HSG-CO.B.6: : Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

CCSS.Math.Content.HSG-CO.C: : Prove geometric theorems

CCSS.Math.Content.HSG-CO.C.9: : Prove theorems about lines and angles.

CCSS.Math.Content.HSG-CO.C.10: : Prove theorems about triangles.

CCSS.Math.Content.HSG-CO.C.11: : Prove theorems about parallelograms.

CCSS.Math.Content.HSG-CO.D: : Make geometric constructions

CCSS.Math.Content.HSG-CO.D.12: : Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).

CCSS.Math.Content.HSG-SRT: : Similarity, Right Triangles, and Trigonometry

CCSS.Math.Content.HSG-SRT.A: : Understand similarity in terms of similarity transformations

CCSS.Math.Content.HSG-SRT.A.1: : Verify experimentally the properties of dilations given by a center and a scale factor:

CCSS.Math.Content.HSG-SRT.A.1a: : A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

CCSS.Math.Content.HSG-SRT.A.1b: : The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

CCSS.Math.Content.HSG-SRT.A.2: : Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

CCSS.Math.Content.HSG-SRT.A.3: : Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

CCSS.Math.Content.HSG-SRT.B: : Prove theorems involving similarity

CCSS.Math.Content.HSG-SRT.B.4: : Prove theorems about triangles.

CCSS.Math.Content.HSG-SRT.B.5: : Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

CCSS.Math.Content.HSG-SRT.C: : Define trigonometric ratios and solve problems involving right triangles

CCSS.Math.Content.HSG-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.

CCSS.Math.Content.HSG-SRT.C.7: : Explain and use the relationship between the sine and cosine of complementary angles.

CCSS.Math.Content.HSG-SRT.C.8: : Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

CCSS.Math.Content.HSG-C: : Circles

CCSS.Math.Content.HSG-C.A: : Understand and apply theorems about circles

CCSS.Math.Content.HSG-C.A.2: : Identify and describe relationships among inscribed angles, radii, and chords.

CCSS.Math.Content.HSG-C.A.3: : Construct the inscribed and circ*mscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

CCSS.Math.Content.HSG-C.B: : Find arc lengths and areas of sectors of circles

CCSS.Math.Content.HSG-C.B.5: : Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

CCSS.Math.Content.HSG-GPE: : Expressing Geometric Properties with Equations

CCSS.Math.Content.HSG-GPE.A: : Translate between the geometric description and the equation for a conic section

CCSS.Math.Content.HSG-GPE.A.1: : Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

CCSS.Math.Content.HSG-GPE.A.2: : Derive the equation of a parabola given a focus and directrix.

CCSS.Math.Content.HSG-GPE.A.3: : Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

CCSS.Math.Content.HSG-GPE.B: : Use coordinates to prove simple geometric theorems algebraically

CCSS.Math.Content.HSG-GPE.B.4: : Use coordinates to prove simple geometric theorems algebraically.

CCSS.Math.Content.HSG-GPE.B.7: : Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

CCSS.Math.Content.HSG-GMD: : Geometric Measurement and Dimension

CCSS.Math.Content.HSG-GMD.A: : Explain volume formulas and use them to solve problems

CCSS.Math.Content.HSG-GMD.A.1: : Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.

CCSS.Math.Content.HSG-GMD.A.2: : Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

CCSS.Math.Content.HSG-GMD.A.3: : Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

CCSS.Math.Content.HSG-GMD.B: : Visualize relationships between two-dimensional and three-dimensional objects

CCSS.Math.Content.HSG-GMD.B.4: : Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

Correlation last revised: 8/22/2022

Gizmos for District of Columbia - Mathematics: High School: Geometry (Common Core State Standards adopted 2010) | ExploreLearning Gizmos (2024)

FAQs

What does Gizmos do? ›

Gizmos are virtual math and science simulations that bring powerful new interactive STEM learning experiences to grade 3-12 classrooms.

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Petros Christodoulou, Robin Jack, and Paul Evangelou are the founders of Gizmo.

What is a gizmos reflex? ›

Gizmos are online math and science simulations. Each Gizmo has a customizable Student Exploration Guide with prior knowledge questions and three activities that get progressively more difficult so you can differentiate instruction.

What is gizmo in education? ›

ExploreLearning Gizmos is a site containing an array of math and science simulations arranged by curriculum, topic, or textbook. These little applications explore hundreds of concepts that students learn in elementary, middle, and high school math and science.

Is Gizmo good or bad? ›

Gizmo is the only known mogwai to not have a speck of hatred or evil in him, unlike his fellow mogwai who are often cruel, mean, abusive, and vicious, although he did have a bit of hatred when Mohawk kept bullying him and got revenge. This is because he is a Minority Mogwai, a mogwai that is kind and nice.

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You can also submit a request online via our Purchasing Info form. If you are interested in Gizmos for home use, we offer a 12-month subscription for $149.00.

Can teachers see what you do on gizmos? ›

Gizmos - Teacher. Sep 27, 2023•Knowledge

After submitting answers to all Assessment Questions, students are shown their personal results followed by a report explaining the answers. The results for each individual student and the entire class are also immediately available to the teacher.

Is gizmos free for teachers? ›

Educators can sign up for a free trial account. With it you get 30 days of unlimited access to all 500+Gizmos virtual labs and simulations. After 30 days, you get to keep your account and use our free Gizmos—a rotating collection of 25–40 full-access Gizmos!

What happened to the Gizmos? ›

In late 1977 the band broke up. Then, Ted Niemiec recruited new members to form a new version of the Gizmos. This version of the band released one EP, "Never Mind The Sex Pistols Here's The Gizmos". After Niemiec left the band, new member Dale Lawrence carried on using the band name with new members.

Is Gizmo good for studying? ›

The research was clear about the benefits of Gizmos. A majority of teachers use Gizmos to help students visualize science concepts, foster interest in science, and collect valuable data for student learning. STEM Case users used the tool to build connections with everyday life and develop scientific reasoning skills.

What are the benefits of Gizmos? ›

Gizmos help teachers take advantage of research-proven instructional strategies and enable students of all ability levels to develop conceptual understanding in math and science.

What does the gizmo stand for? ›

Any gadget or contrivance. Webster's New World. A nonsensical placeholder name for something, generally a device, that one does not know the proper term for; gadget; whatchamacallit; thingamajig. Wiktionary.

What is the purpose of a gizmo? ›

Gizmos are research-backed to create experiences that support analytical skills, inquiry, student achievement, and “what-if” experimentation. Gizmos simulations use an inquiry-based learning approach validated by extensive research as a highly effective way to build conceptual understanding in math and science.

What is a gizmo used for? ›

Gizmos are interactive math and science labs and simulations for grades 3-12. Experiment with the best STEM learning tools for the classroom.

What can Gizmos do? ›

A gizmo is a device or small machine which performs a particular task, usually in a new and efficient way. People often use gizmo to refer to a device or machine when they do not know what it is really called. ...a plastic gizmo for holding a coffee cup on the dashboard. Drag the correct answer into the box.

What is Gizmo used for? ›

A gizmo is a device used for a specific job. A vacuum is a gizmo that cleans the floor. While gizmo often means an unknown object — like a thingamajig — a gizmo is any device that gets a job done. A phone is a gizmo for talking to people.

Can teachers see what you do on Gizmos? ›

Gizmos - Teacher. Sep 27, 2023•Knowledge

After submitting answers to all Assessment Questions, students are shown their personal results followed by a report explaining the answers. The results for each individual student and the entire class are also immediately available to the teacher.

What is Gizmo known for? ›

Gizmo (also referred to as "Giz") is the protagonist in Gremlins movie franchise and Gremlins: Secrets of the Mogwai. Gizmo is an adorable, very kind Mogwai who is part of Billy Peltzer's life.

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