Geometry Help for Geometric Shapes
Geometry is the study of shapes and their properties. It is a math subject very different from numeracy skills. Knowledge about geometric shapes is important to design and provides structure for creative thinking. The proofs of geometry theorems develop logical and deductive reasoning powers – this is important more broadly to academic success and effective problem solving skills.
Math Course 3, Geometric Shapes: Step by Step addresses the properties of common geometric shapes including triangles, quadrilaterals, circles, cubes, prisms and cones. Common geometric theorems are explained and proofs provided. Concepts of symmetry, and transformation of shapes by shifts, rotations, reflections and magnifications are also covered.
The measurement of the perimeter, area and volume of shapes is not included in this Course. A complete List of Topics appears below.
The subject of Geometry is recognized as a complete 'math strand’ within the math curriculum. Math Course 3 covers 36 learning outcomes which meet or exceed the standards set by the National Council of Teachers of Mathematics for geometry at the pre-high school level. These learning outcomes also correlate to state standards.
Geometry curriculum is spread between Grades 4 and 8 and extends into high school. Its concentration by Grade varies by state.
The Course content is organized sequentially so earlier Topics will correlate to the earlier delivery of curriculum. Most of the Topics are addressed in the curriculum in Grades 5, 6 and 7. Consequently, our Grade rating for the Geometric Shapes Course: Step by Step is: Target: 5,6 & 7, Remedial: 7 and up, Enrichment: 4 & 5. Students can progress to grade level and suspend further work, or continue to move forward for enrichment.
| Learning Levels |
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Grades 4-5 |
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Grades 5-7 |
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Grades 7 and Up |
Each student is pre-tested at the beginning of each Unit ( 8 Units in this Course) and a lesson plan based on learning needs is developed – no annoying repetition of subjects that are well understood – just what you need to learn. For more information on the design and use of our Math Courses, click here.
Geometric Shapes List of Topics |
| Unit 1: Lines and Angles |
Unit 2: Intersections and Parallels |
- Lines
- Measuring Angles
- Types of Angles
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- Intersecting Lines
- Equal Lines
- Supplementary Angles
- Problem Solving
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| Unit 3: Triangles |
Unit 4: Plane Shapes |
- Triangles
- Special Triangles
- Triangle Angle Sum Theorem
- Exterior Angle Sum Theorem
- Problem Solving
- Pythagorean Theorem
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- Quadrilaterals
- Polygons
- Regular Polygons
- Circles
- Ellipses
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| Unit 5: Constructions |
Unit 6: Transformation of Shapes |
- Angle Bisectors
- Perpendiculars from a Line
- Perpendiculars to a line
- Right Bisectors
- The Circumcircle
- The Incircle
- Parallel Lines
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- Congruency
- Translations
- Reflections
- Rotations
- Magnifications
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Unit 7: Uses of Transformations
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Unit 8: Solid Shapes |
- Similarity
- Reflective Symmetry
- Rotational Symmetry
- Tessellations I
- Tessellations II
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- Cubes, Prisms, Pyramids
- Cylinders, Cones, Spheres
- Constructing Solid Shapes
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Get the Geometry Help you need with Geometric Shapes
For math help software that ensures real learning, try one of our other Math Courses:
- Math Course 1, Fractions: Step by Step
- Math Course 2, Decimals & Percents: Step by Step
- Math Course 4, Basic Measurement: Step by Step
Or try your arithmetic skills with our Calculation Skills Series, in English, Spanish or French:
- Vol 1, Addition & Subtraction Basic Level
- Vol 2, Multiplication & Division, Basic Level
- Vol 3, Addition & Subtraction, Advanced Level
- Vol 4, Multiplication & Division, Advanced Level
