Essential Questions:How can the measurement of an object be converted into equivalent units?How can we use line plots to display a data set of fraction measurements?What is volume? What units of measurement do you use to measure volume of a solid figure?How can you calculate volume of rectangular prisms in real world and mathematical situations?

Essential Understanding:Students will demonstrate the ability to convert measurements within the same system of measurement in the context of multi-step, real-world problems. Students will be able to display fractional data on a line plot and be able to use the line plot to solve real world problems. They will understand that volume is a derived attribute that, once a length unit is specified, can be computed as the product of three length measurements or as the product of one area and one length measurement.

Note: no gaps or overlaps with unit cubes

Vocabulary: conversion, metric system, ratio, US standard, data set, increments, line plot, attribute, cubic unit, volume, solid figure, unit cube, prism,Length, width, base, height, formula, additive, non-overlapping

Guiding questions:How do we measure volume?How can you calculate volume of a right rectangular prism?

Assessment:#1 conversions between units within a given measurement system#2 Make a line plot to display a data set of measurements in fractions of a unit and use this information to solve a real world problem. #3 Determine the volume of rectangular prisms

Formative:We will be using a skills checklist as we progress through the lessons of this unit.

Measurement and Data 5.MD

Lesson Math Concept Standard Skills Problems to Pose

Anticipated Errors

1 Units of measureof the standard and metric systems

5.MD.1 Using the units of measure correctlyUsing appropriate unit

What is best unit of measure to measure a pencil vs. the distance to the moon?

Choosing the correct unit depending on what is being measured.Metric vs. standard measurementsVocabulary errors

2 Converting units of the standard and metric system

5.MD.1 Converting between units within a given measurement system .Using place value and ratios, division, and multiplication to convert

5m=?cm Using the correct operation Understanding the ratio between the unitsCalculation errors

3 Line plots 5.MD.2 Creating a line plot using fractional dataLabeling and placing data correctly on a line plot

Given data sets, plot on a line plot

Fractional number lines

Placement of data on line plotUsing a key

4 Line plots for the real world

5.MD.2 Using the line plot data to problem solve real world situations.

Given different measurements of liquids in identical beakers, find the amount of liquid each beaker would contain if the total amount in all beakers was redistributed equally

Misinterpreting the data and incorrectly manipulating the data for the given situation

5 Volume 5.MD.3.A5.MD.3.B5.MD.4

Understanding what the unit cube is and what cubic units are

Counting by individual units, find the volume

Using unit cube manipulatives to find the volume

Not counting correctly for a given shape

6 Volume 5.MD.5 Relating volume to the formula. Using the formula to calculate volume.

Given rectangular prisms, calculate the volume.

(more lessons recognizing volume as additive

Using the formula correctly, calculation errors, miscounting for additive situations

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