Grades 3-5 Data and Measurement Activities
The tables below provide examples of Grades 3-5 Data and Measurement Activities aligned with the Common Core State Standards. These activities are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. All Grades 3-5 data and measurement activities activities are suitable for use in Math Centers, small group or whole class settings. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the Grades 3-5 data and measurement activities listed are in PDF format and can be accessed using Adobe Reader.
3rd GRADE: DATA AND MEASUREMENT ACTIVITIES
| MEASUREMENT AND DATA | Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
3.MD1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
Elapsed Time Ruler
Elapsed Time Word Problems
3.MD2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.
Estimating Weight
More or Less than a Liter?
Capacity Lineup
Represent and interpret data
3.MD3 Draw a scaled picture graph and a scaled bar graph to represent a date set with several categories. Solve one-and two step “how many more” and “how many less” problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.
Possible Activities:
Button Bar Graph
Button Pictograph
Jake's Survey
Collecting and Representing Data
3.MD4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show data by making a line plot, where the horizontal scale is marked off in appropriate units- whole numbers, halves, or quarters.
Possible Activities:
Measuring to the Nearest Half Inch
Measuring to the Nearest Quarter Inch
Measuring Strips Line Plot
Geometric measurement
3.MD 5 Recognize area as an attribute of plane figures and understand concepts of area measurement.
a. 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.
b. 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.
Possible Activities:
Exploring Area
Area on the Geoboard
3.MD6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units.
Rectangular Area Cards
3.MD7 Relate area to the operations of multiplication and addition.
a. 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.
b. 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.
Possible Activities:
Developing a Formula for the Area of a Rectangle
Area Word Problems *new!
c. 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 axb and axc. Use area models to represent the distributive property in mathematical reasoning.
d. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
Possible Activities:
Designing a Flower Bed
Area of Irregular Figures
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures
3.MD8 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.
Possible Activities:
Measuring Perimeter
Perimeter on the Geoboard
Perimeter with Color Tiles
Designing a Rabbit Enclosure
The Perimeter Stays the Same
The Area Stays the Same
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4th GRADE: DATA AND MEASUREMENT ACTIVITIES
| MEASUREMENT AND DATA | Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit
4.MD1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4ft snake as 48in. Generate a conversion table for feet and inches listing the number pairs (1,12), (2,24), (3,36)…
Measurement Conversion Word Problems
Measurement Concentration
4.MD2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions of decimals, and problems that require expressing measurements given in a large unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
Measurement Word Problems
Elapsed Time Ruler 1
Elapsed Time Ruler 2
24 hour number line (4 per page)
4.MD3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, 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.
A Dinner Party
Fencing a Garden
Designing a Zoo Enclosure
Represent and interpret data
4.MD4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, ¼, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.
Length of Ants Line Plot
Objects in My Desk Line Plot
Geometric measurement: understand concepts of angle and measure angles
4.MD5 Recognize angles as geometric shapes that are formed whenever two rays share a common endpoint, and understand concepts of angle measurement:
a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
Angles in Names
4.MD6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Possible Activities:
Predicting and Measuring Angles
Angle Barrier Game
Angles in Triangles
Angles in Quadrilaterals
4.MD7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.
Unknown Angle Word Problems
How Many Degrees?
Angles in a Right Triangle
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5th GRADE DATA AND MEASUREMENT ACTIVITIES| MEASUREMENT AND DATA | Convert like measurement units within a given measurement system
5.MD1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5cm to 0.05m), and use these conversions in solving multi-step, real world problems.
Possible Activities
Comparing Units of Metric Linear Measure
Metric Conversion Word Problems
Represent and interpret data
5.MD2 Make a line plot to display a set of measurements in fractions of a unit (1/2, ¼, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.
Fractions on a Line Plot
Sacks of Flour
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition
5.MD3 Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
a. A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.
b. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.
Exploring Volume
Building Rectangular Prisms with a Given Volume
Ordering Rectangular Prisms by Volume
5.MD4 Measure volume by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
Possible Activities:
Roll a Rectangular Prism
5.MD5 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
b. Apply the formulas V= l x w x h and V = b x h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
Designing a Toy Box
Designing a Cereal Box
c. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
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