6th Grade – Geometry includes ten activities that help students develop mastery of the mathematical practices within the content area of geometry. For educators for whom the Common Core Standards are important, each activity is referenced to the sixth grade geometry standards. The description of each standard follows:
6.G.A.1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
6.G.A.2. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
6.G.A.3. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
6.G.A.4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
6.G.A.1 is addressed in Activities 1 – 4
6.G.A.2 is addressed in Activities 6, 7, and 10
6.G.A.3 is addressed in Activities 2, 3, and 5
6.G.A.4 is addressed in Activities 8, 9, and 10
Worked out solutions for each activity are provided at the end of the workbook.
The Make It Real Learning Middle Grades Math Series is a collection of 20 workbooks that address the mathematical content standards of Grades 5, 6, 7, and 8. Each workbook contains ten standards-aligned activities that develop mathematical thinking. Interesting real world contexts are integrated into many of the activities.
Fifth Grade Mathematics Workbooks
• 5th Grade Operations and Algebraic Thinking
• 5th Grade Numbers and Operations in Base 10
• 5th Grade Numbers and Operations – Fractions
• 5th Grade Measurement and Data
• 5th Grade Geometry
Sixth Grade Mathematics Workbooks
• 6th Grade Ratios and Proportional Relationships
• 6th Grade The Number System
• 6th Grade Expressions and Equations
• 6th Grade Geometry
• 6th Grade Statistics and Probability
Seventh Grade Mathematics Workbooks
• 7th Grade Ratios and Proportional Relationships
• 7th Grade The Number System
• 7th Grade Expressions and Equations
• 7th Grade Geometry
• 7th Grade Statistics and Probability
Eighth Grade Mathematics Workbooks
• 8th Grade The Number System
• 8th Grade Expressions and Equations
• 8th Grade Functions
• 8th Grade Geometry
• 8th Grade Statistics and Probability