Chapter 10 - Area

Chapter 10 - Area

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.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.NS.C.8 - Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

6.EE.A.2 - Write, read, and evaluate expressions in which letters stand for numbers.

6.EE.A.2c - Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

6.EE.B.7 - Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers.

Vocabulary

  1. area
  2. congruent
  3. polygon
  4. regular polygon
  5. composite figure
  6. parallelogram
  7. quadrilateral
  8. trapezoid

Lesson 10.1 - Algebra: Area of Parallelograms

  • Students will be able to find the area of parallelograms. (6.G.A.1, 6.EE.A.2c, 6.EE.B.7)

Lesson 10.2 - Investigate: Explore Area of Triangles

  • Students will be able to investigate the relationship among the areas of triangles, rectangles, and parallelograms. (6.G.A.1)

Lesson 10.3 - Algebra: Area of Triangles

  • Students will be able to find the area of triangles. (6.G.A.1, 6.EE.A.2c)

Lesson 10.4 - Investigate: Explore Area of Trapezoids

  • Students will be able to investigate the relationship between the areas of trapezoids and parallelograms.(6.G.A.1)

Lesson 10.5 - Algebra: Area of Trapezoids

  • Students will be able to find the area of trapezoids.

IXL Practice

  • FF.5 - Area of quadrilaterals

Lesson 10.6 - Area of Regular Polygons

  • Students will be able to find the area of regular polygons.

Lesson 10.7 - Composite Figures

  • Students will be able to find the area of composite figures.

IXL Practice

  • FF.6 - Area of compound figures
  • FF.7 - Area between two rectangles

Lesson 10.8 - Problem Solving: Changing Dimensions

  • Students will be able to determine the effect of changing dimensions on the area of a polygon by using the strategy find a pattern.

Lesson 10.9 - Figures on the Coordinate Plane

  • Students will be able to plot polygons on a coordinate plane, and use coordinates to find side lengths.

IXL Practice

  • X.2 - Graph points on a coordinate plane
  • X.5 - Distance between two points