6th Grade Advanced Math Unit 10

Big Idea:

Determine side and angle relationships of triangle, and model and solve for area and volume of geometric figures.

Student Expectations:

Priority TEKS

6.8(A) [Supporting] extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle

6.8(D) [Readiness] determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers

7.9(B) determine the circumference and area of circles;

7.9(C) determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles

Focus TEKS

6.8(B) [Supporting] model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes

6.8(C) [Supporting] write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers

7.5(B) describe π as the ratio of the circumference of a circle to its diameter

7.8(C) use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas

Learning Targets:

• Discover and apply the area formulas for rectangles, parallelograms, trapezoids and triangles.
• Calculate the volume of a rectangular prism.
• Describe Pi as a ratio of the circumference of a circle to its diameter.
• Determine the area and circumference of circles.
• Calculate the total area of composite figures.

Essential Questions:

• What is the relationship between the sides of a triangle?
• What is the relationship between the angles in a triangle?
• What is the relationship between the sides and angles in a triangle?
• What does area and volume measure?
• How can you find the area of quadrilaterals and triangles?
• How can you find the volume of a rectangular prism?
• How can you calculate the total area of composite figures?

Extra Information:

Adopted Textbook: Houghton Mifflin Harcourt - GO Math!

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