Conversions, Area, and Perimeter
Unit description: Students will learn how to complete metric conversions, as well as customary conversions for length and time. Students will extend their knowledge of area and perimeter from third grade to complete multi-step real world and mathematical problems involving area, perimeter, and different types of rectangles.
Essential Outcomes of the Unit
Measurement and Data- Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit
- NY-4.MD.1 Know relative sizes of measurement units: ft., in.; km, m, cm. Know the conversion factor and use it to convert measurements in a larger unit in terms of a smaller unit: ft., in.; km, m, cm; hr., min., sec. Given the conversion factor, convert all other measurements within a single system of measurement from a larger unit to a smaller unit. Record measurement equivalents in a two-column table.
- NY-4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. e.g., Find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.
Other Standards Addressed in the Unit
Measurement and Data- Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit
- NY-4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money.
- NY-4.MD.2a Solve problems involving fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit.
- NY-4.MD.2b Represent measurement quantities using diagrams that feature a measurement scale, such as number lines. Note: Grade 4 expectations are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Measurement and Data- Represent and interpret data
NY-4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit 1/2 , 1/4 , 1/8. Solve problems involving addition and subtraction of fractions by using information presented in line plots.
Essential Questions and Big Ideas
- How do I convert different sized units?
- The metric system is based on powers of 10.
- There are 12 inches in 1 foot.
- There are 60 minutes in an hour.
- There are 60 seconds in a minute.
- Conversions can be recorded in tables. `
- How do I solve area and perimeter word problems involving rectangles?
- Area represents the total amount of space a flat shape takes up.
- Perimeter represents the distance around a shape.
- How do I solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money?
- Distances can be added or compared.
- Times can be added or subtracted using understandings of minutes and hours.
- Volumes can be added or compared based on measurements in beakers or other tools.
- Masses can be added or compared based on measurements on scales or other tools.
- Money can be added or compared using understandings of cents and dollars.
- How do I represent data using a line plot?
- Line plots represent numerical data.
- Xs represent data points of a numerical value.
- The scale on a line plot must have equal sized units.
Download the complete Grade 4 Math Unit 5 framework to customize for your own planning.