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Go Math!:
Chapter 11: Students will explore perimeter and area.
- Estimate and measure perimeter and area
- Find the unknown length of a side of a polygon
- Relate area to addition and multiplication by using area models
- Solve area problems using the strategy find a pattern
- Apply the Distributive Property to area models
- Compare areas of rectangles that have the same perimeter
- Compare perimeters of rectangles that have the same area
Chapter 12: Students will explore two-dimensional shapes.
- Identify and describe attributes of plane shapes
- Describe angles in plane shapes
- Identify polygons by the number of sides
- Determine if lines or line segments are intersecting, perpendicular, or parallel
- Describe, classify, compare, and draw quadrilaterals
- Describe and compare triangles
- Solve problems by using the strategy draw a diagram to classify plane shapes
Common Core Learning Standards:
3.MD.C.5 - Recognize area as an attribute of plane figures and understand concepts of area measurement.
3.MD.C.5a - A square with side length 1 unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.
3.MD.C.5b - A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
3.MD.C.6 - Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
3.MD.C.7 - Relate area to the operations of multiplication and addition.
3.MD.C.7a- Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
3.MD.C.7b - Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
3.MD.C.7c - Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
3.MD.D.8 - Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
3.G.A.1 - Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
3.G.A.2 - Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
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