Supporting Idea 4: Geometry and MeasurementArchived

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Geometry and Measurement
General Information
Number: MA.7.G.4
Title: Geometry and Measurement
Type: Supporting Idea
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 7
Body of Knowledge: Geometry

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.7.G.4.In.a
Identify the effects of changes in the lengths of sides of rectangles on the perimeter and area using physical and visual models.
MA.7.G.4.In.b
Identify examples of slides (translations), turns (rotations), and flips (reflections) of geometric figures using pictures and objects.
MA.7.G.4.In.c
Identify common uses of a coordinate plane, such as a map or line graph.
MA.7.G.4.In.d
Use tools, such as charts and technology, to convert measures of capacity including cups, pints, quarts, and gallons.

Supported

MA.7.G.4.Su.a
Recognize that changes in the lengths of sides of rectangles will make the figure or object smaller or larger.
MA.7.G.4.Su.b
Match identical (congruent) geometric figures in different positions, including flips (reflections) and turns (rotations).
MA.7.G.4.Su.c
Recognize a common use of a coordinate plane, such as a map.
MA.7.G.4.Su.d
Use tools, such as a chart, to identify the number of cups in a pint and quart to convert measures of capacity.

Participatory

MA.7.G.4.Pa.a
Match two- and three-dimensional objects with the same shape but different size.
MA.7.G.4.Pa.b
Recognize objects that have been turned (rotated).
MA.7.G.4.Pa.c
Solve problems using directional or positional language, such as up, down, left, right, and next to.
MA.7.G.4.Pa.d
Identify similarities and differences in features of objects, such as shape and size.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Educational Software / Tool

Transformations Using Technology:

This virtual manipulative can be used to demonstrate and explore the effect of translation, rotation, and/or reflection on a variety of plane figures. A series of transformations can be explored to result in a specified final image.

Type: Educational Software / Tool

Lesson Plans

Paper Route Logic:

Students will be helping Lily Rae find the most efficient delivery route by using speed and distance values to calculate the shortest time to make it to all of her customers.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Dogpound Graphing:

Students will graph ordered pairs within all four quadrants of a coordinate plane in order to complete the picture of a bulldog.

Type: Lesson Plan

Coordinate Grids: The Key to the City (solving real-world problems using the coordinate grid):

This lesson contains a small group activity in which students use knowledge of graphing in a 4-quadrant coordinate grid. Students will individually solve a real-world problem to find the distance between two points on a coordinate grid. Students must utilize their knowledge of absolute value and subtracting integers to determine distances between points.

Type: Lesson Plan

Triangles on a Lattice:

In this activity, students will use a 3x3 square lattice to study transformations of triangles whose vertices are part of the lattice. The tasks include determining whether two triangles are congruent, which transformations connect two congruent triangles, and the number of non-congruent triangles (with vertices on the lattice) that are possible.

Type: Lesson Plan

Problem-Solving Task

Lifting a Lion:

"Students will work in groups to solve a real-world problem presented by the book: How Do You Lift A Lion? Using a toy lion and a lever, students will discover how much work is needed to raise the toy lion. They will use proportions to determine the force needed to lift a real lion" from TI World Math.

Type: Problem-Solving Task

Teaching Idea

Caribou Caravan-SeaWorld Classroom Activity:

Students will trace the migration route of caribou (reindeer) and learn the animal's natural history.

Type: Teaching Idea

Tutorial

Converting Speed Units:

In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.

Type: Tutorial

Virtual Manipulatives

Scale Factor:

Explore the effect on perimeter and area of two rectangular shapes as the scale factor changes.

Type: Virtual Manipulative

Rotation of a Point:

This virtual manipulative is an interactive visual presentation of the rotation of a point around the origin of the coordinate system. The original point can be dragged to different positions and the angle of rotation can be changed with a 90° increment.

Type: Virtual Manipulative

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Educational Software / Tool

Transformations Using Technology:

This virtual manipulative can be used to demonstrate and explore the effect of translation, rotation, and/or reflection on a variety of plane figures. A series of transformations can be explored to result in a specified final image.

Type: Educational Software / Tool

Tutorial

Converting Speed Units:

In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.

Type: Tutorial

Virtual Manipulatives

Scale Factor:

Explore the effect on perimeter and area of two rectangular shapes as the scale factor changes.

Type: Virtual Manipulative

Rotation of a Point:

This virtual manipulative is an interactive visual presentation of the rotation of a point around the origin of the coordinate system. The original point can be dragged to different positions and the angle of rotation can be changed with a 90° increment.

Type: Virtual Manipulative

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.