Math (TAG): Perimeter, Area, Volume, and Geometry

Represent and Solve Perimeter, Area, and Volume Problems

• 5.4H represent and solve problems related to perimeter and/or area and related to volume R
• 4.5D solve problems related to perimeter and area of rectangles where dimensions are whole numbers R

Measuring and Calculating Volume

• 5.4H represent and solve problems related to perimeter and/or area and related to volume. – R RC3
  • 5.4G use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V = Bh); and – NT
  • 5.6A recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible; – S RC3
  • 5.6B determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base. – S RC3

Attributes of 2-D Figures

• 5.5 classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties R
  • 4.6D classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size. – R RC3
    • 4.6A identify points, lines, line segments, rays, angles, and perpendicular and parallel lines; – S RC3

Multiplication and Division with Decimals and Whole Numbers – Computation

• 5.3D represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models S
• 5.3E solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers R
• 5.3F represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models S
• 5.3G solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm R

Measuring Angles

• 4.7C determine the approximate measures of angles in degrees to the nearest whole number using a protractor; – R RC3
  • 4.7D draw an angle with a given measure; – S RC3
  • 4.7E determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures. – S RC3 [including complementary and supplementary angles]

Represent and Solve Measurement Problems

4.8C solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate R

5.4H represent and solve problems related to perimeter and/or area and related to volume R

5.6A recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible S

5.6B determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base S

5.7 solve problems by calculating conversions within a measurement system, customary or metric S