Geometry

ESSENTIAL UNDERSTANDING:

• Two measurement systems ( US customary & metric) are currently used in the United States

• Relationship between units vary depending on the measurement system.

• Conversions in the US customary system vary depending upon what is being measured

• Conversions in the metric system are based on powers of ten.

• When converting from a larger unit to a small unit, there will be more iterations of the smaller unit. 

• When converting from a smaller unit to a larger unit, there will be less iterations of the larger unit.

• Measurements can be converted to solve multi-step real-world problems. 

• Picture graphs, bar graphs, & line plots are used to display data

• The key of a picture graph tells how many items each picture or symbol represents.

• The scale of a bar graph varies depending on the data set.

• The scale of a line plot can be whole numbers, halves, quarters, eights, sixteenths, tenths or hundredths.

• Symbols used in picture graphs & line plots should be consistently spaced & sized.

• Information presented in a graph can be used to solve problems using metric or US customary measurements

• Volume is an attribute of a three-dimensional solid figures that is measured in cubic units.

• Volume can be measure (or determined) by finding the total number of cubic units required to fill the space without gaps or overlaps. 

• The process of finding volume shifts from building with cubes & counting to the multiplication of side lengths.

• The area of a base of a rectangular prism is found by multiplying the length by width (b = l x w)

• In a right rectangular prism, any two parallel faces can be the Bases.

• The volume of a rectangular prism can be found by multiplying the length by width by height (l x w x h) or by multiplying the area of the base by height (b x h)

• A figure composed of rectangular prisms may be decomposed into two non overlapping rectangular prisms whose volumes may be added to find the volume of the figure. 

Student I Can Statements:

• I can explain how the units used in measurement relate & change depending on their size.

• I can change to different size units within a measurement system.

• I can solve multi-step, real-world problems involving measurement

• I can convert between pounds & ounces; miles & feet; yard, feet, & inches; gallons, quarts, pints, cups, & fluid ounces; hours, minutes, & seconds in solving multistep, real-world problems. 

• I can display data with a line plot, picture graph & bar graph

• I can create a line plot, picture graph & bar graph with fractional scales & solve problems with this data.

• I can use grade level fraction operations to solve problems involving information from a line plot picture graph or bar graph.

• I can explain the concept of volume & how it is measured.

• I can solve problems involving volume

• I can explain that volume is an attribute of solid figures & not plane figures.

• I can explain that volume is measured in "unit cubes" - cubes of one unit on each side.

• I can explain that the volume of a solid figure is measured in the number of "cubes" it contains. 

• I can explain the concept of volume & how it is measured.

• I can solve problems involving volume.

• I can measure volumes by counting unit cubes of various sizes.

• I can find the volume of a right rectangular prism with whole-number sides by packing it with unit cubes.

• I can find the volume of a right rectangular prism with whole-number sides by multiplying (length) x (width) x (height)

• I can solve real-world volume problems by using the conventional formulas of V = l x w x h and V = b x h

• I can find the volume of a solid figure composed of right rectangular prisms by adding the volumes of each rectangular prism. 

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