Embedded Files
7th Grade Math
Scroll down for Practice & Games, Unit Objectives and Learning Standards
Scroll down for Practice & Games, Unit Objectives and Learning Standards
Unit 5 Topics
Unit 5 Topics
Pythagorean Theorem
Transformations
Volume
Angles and Parallel Lines
Reference Sections from the Pre-Algebra Textbook (https://my.hrw.com/)
Reference Sections from the Pre-Algebra Textbook (https://my.hrw.com/)
Sections 9.3, 9.5
Sections 10.5 - 10.8
Chapter 12
Click below for @HomeTutor from the 7th Grade Mathematics Textbook:
Click below for @HomeTutor from the 7th Grade Mathematics Textbook:
You can find videos, practice problems, vocabulary flip cards and extra help here.
You can find videos, practice problems, vocabulary flip cards and extra help here.
Lesson 9.3 - The Pythagorean Theorem
Lesson 9.5 - The Distance and Midpoint Formulas
Lesson 10.5 - Surface Areas of Prisms and Cylinders
Lesson 10.6 - Surface Areas of Pyramids and Cones
Lesson 10.7 - Volumes of Prisms and Cylinders
Lesson 10.8 - Volumes of Pyramids and Cones
Lesson 12.1 - Angle Relationships (done in Unit 1)
Lesson 12.2 - Angles and Parallel Lines
Lesson 12.3 - Angles and Polygons (done in Unit 1)
Lesson 12.5 - Reflections and Symmetry
Discovery Ed.
Discovery Ed.
Activities that will help you practice the material in this unit
Activities that will help you practice the material in this unit
- Discovering Transformations
- Congruence & transformations in Khan Academy
- Dilation activity - Explore properties of a dilation to determine if figures are similar
- Parallel lines - Explore the properties of angles that are formed by parallel lines and a transversal
- Digital Investigation of Pythagorean Theorem
- Volume of Cones and Cylinders - activity investigating volume of cones and cylinders
The following sections have Unit Objectives and Student Learning Standards for this Unit
The following sections have Unit Objectives and Student Learning Standards for this Unit
Unit Objectives:
- Investigate the properties of rotations, reflections, and translations.
- Understand congruence and similarity using physical models.
- Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
- Describe effects of transformations on two-dimensional figures.
- Discover properties of interior and exterior angles of angles formed by a transversal.
- Prove the Pythagorean Theorem.
- Apply the Pythagorean Theorem to real world problems.
- Compare volume of cone to volume of cylinder and discover formula.
- Solve real world problems involving volume of cones, cylinders, and spheres.
New Jersey Student Learning Standards for this Unit:
CCSS.Math.Content.8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations:
8.G.A.1a Lines are taken to lines, and line segments to line segments of the same length.
8.G.A.1b Angles are taken to angles of the same measure.
8.G.A.1c Parallel lines are taken to parallel lines.
CCSS.Math.Content.8.G.A.2
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
CCSS.Math.Content.8.G.A.3
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
CCSS.Math.Content.8.G.A.4
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
CCSS.Math.Content.8.G.A.5
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
CCSS.Math.Content.8.G.B.6
Explain a proof of the Pythagorean Theorem and its converse.
CCSS.Math.Content.8.G.B.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
CCSS.Math.Content.8.G.B.8
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
CCSS.Math.Content.8.G.C.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
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