3rd Grade Geometry and Measurement

(Page last edited 5/20/2009)

To work on third grade geometry and measurement standards, click on the numbers below to visit pages with plenty of internet resources for each of the learning standards on the right.

Checks for Understanding are at the top of this page. Scroll down to find internet resources related to the State Performance Indicators (SPIs).

At the very bottom of this page is a link to Geometry and Measurement resources for grades 3-5 from the National Library of Virtual Manipulatives.

Checks for Understanding (Formative/Summative Assessment)

0306.4.1	Plane Figures - Describe properties of plane figures (such as circles, triangles, squares and rectangles) and solid shapes (such as spheres, cubes and cylinders).
0306.4.2	Polygons - Classify polygons according to the number of their sides and angles.
0306.4.3	Lines and Segments - Classify lines and segments as parallel, perpendicular, or intersecting.
0306.4.4	Line Symmetry - Identify, create, and describe figures with line symmetry.
0306.4.5	Measurement Units - Understand that all measurements require units.
0306.4.6	Fractions - Recognize the use of fractions in liquid measures.
0306.4.7	Relationships - Recognize the relationships among cups, pints, quarts, and gallons.
0306.4.8	Capacity - Estimate and/or measure the capacity of a container.
0306.4.9	Weight - Measure weight to the nearest ounce or gram.
0306.4.10	Estimates - Use reasonable units of length (i.e. kilometer, meter, centimeter; mile, yard, foot, inch) in estimates and measures.
0306.4.11	Common Equivalences - Know common equivalences for length (1 meter = 100 centimeters, 1 yard = 3 feet, 1 foot = 12 inches).
0306.4.12	Mixed Units - Make and record measurements that use mixed units within the same system of measurement (such as feet and inches, meters and centimeters).
0306.4.13	Abbreviations - Use common abbreviations: km, m, cm, in, ft, yd, mi.

State Performance Indicators

SPI 0306.4.1	Polygons - Recognize polygons and be able to identify examples based on geometric definitions.
SPI 0306.4.2	Congruent - Determine if two figures are congruent based on size and shape.
SPI 0306.4.3	Symmetry - Identify the line of symmetry in a two-dimensional design or shape.
SPI 0306.4.4	Perimeter - Calculate the perimeter of shapes made from polygons.
SPI 0306.4.5	Estimate and use Appropriate Tools - Choose reasonable units of measure, estimate common measurements using benchmarks, and use appropriate tools to make measurements.
SPI 0306.4.6	Measure Length - Measure length to the nearest centimeter or half inch.
SPI 0306.4.7	Length Problems - Solve problems requiring the addition and subtraction of lengths.

National Library of Virtual Manipulatives

National Library of Virtual Manipulatives	Geometry - for Grades 3 through 5.
National Library of Virtual Manipulatives	Measurement - for Grades 3 through 5.

Describe properties of plane figures (such as circles, triangles, squares and rectangles) and solid shapes (such as spheres, cubes and cylinders). (0306.4.1)

1. Anglemania - ( 3-5 ) describe triangles using appropriate geometric vocabulary ( Author - Laurie Ayers )
2. Polygons and Non-Polygons - drag polygons into one bin and anything that is not a polygon into another bin
3. Shape, Space and Measure - activities, quizzes and more
4. Triangle Identification - type of triangle - given its angles
5. Triangle Identification - type of triangle - given its number of sides

Classify polygons according to the number of their sides and angles (0306.4.2)

1. Identify Polygons - names of polygons by number of sides and angles
2. Name that Polygon - identify name of given polygon components

Classify lines and segments as parallel, perpendicular, or intersecting (0306.4.3)

1. Geometry: Parallel, Perpendicular or Intersecting Lines - multiple choice and T/F questions
2. Parallel and Intersecting Lines - [ designed for 5th grade ] worksheet to print, 10 questions
3. Parallel and Perpendicular Lines - geometry lesson plan from HomeschoolMath.net
4. Parallel, Perpendicular or Intersecting Lines - 11 slide show to use as review

Identify, create, and describe figures with line symmetry (0306.4.4)

1. Ask Hannah - describe symmetry in two-dimensional shapes ( Author - Julie Thompson )
2. Line Symmetry - many activities here
3. Lines of Symmetry - drag the shapes that have lines of symmetry into one bin and those that do not into the other bin
4. Lines of Symmetry - this video lesson explains horizontal, vertical and diagonal line symmetry, and then gives your students the chance to show understanding on several quizzes.
5. Symmetry Activity - practice making patterns that have symmetry

Understand that all measurements require units (0306.4.5)

1. Conversion Calculators - convert between different units of measurement
2. How Many? - a dictionary of units of measurements
3. Metric Units and Measurement - fom the Math League

Recognize the use of fractions in liquid measures (0306.4.6)

1. Fractional Measurement - take notes as you watch this Flash movie, use the forward button to go to the next slide
2. Fractional Measurement Expanded Window - Flash movie without the frames around

Recognize the relationships among cups, pints, quarts, and gallons (0306.4.7)

1. Metric Volumes - practice with various forms of liters - explanation, practice, and then a quiz in the form of a game - from AAA Math
2. Divide Gallons, Quarts, and Pints - explanation, practice, and then a quiz in the form of a game - from AAA Math
3. Multiply Gallons, Quarts, and Pints - explanation, practice, and then a quiz in the form of a game - from AAA Math
4. US Volumes - practice with the common units; teaspoons, tablespoons, ounce, cup, pints, quart, and gallons - explanation, practice, and then a quiz in the form of a game - from AAA Math

Estimate and/or measure the capacity of a container (0306.4.8)

1. Capacity Challenge - lesson plan for te3aching estimation of capacity [ designed for 2nd Grade ]
2. Capacity Worksheet - this worksheet could be used in association with a collection of objects in the classroom [ UK Spelling used ]
3. Estimating and Measuring Capacity - worksheet that could be used in association with a collection of objects in the classroom [ UK Spelling used ]
4. Volume and Capacity - [ 4 pages ] lesson plan which includes a worksheet to print

Measure weight to the nearest ounce or gram (0306.4.9)

1. Platform Scales Addition - weigh several items and find the sum in hundredths of a gram
2. Platform Scales Subtraction - weigh several items and find the difference in hundredths of a gram
3. Using a Platform Scale - practice using scales like the one in a doctor's office, five Gregs will drop on the scale, waiting to be weighed, see how quickly you can wiegh them

Use reasonable units of length (i.e. kilometer, meter, centimeter; mile, yard, foot, inch) in estimates and measures (0306.4.10)

1. Reasonable Temperature - decide between two temperatures, which is the most reasonable?
2. Which Metric Unit is Appropriate? - practice quiz
3. Which Unit of Length is Appropriate - practice quiz [ designed for 1st grade ]

Know common equivalences for length (1 meter = 100 centimeters, 1 yard = 3 feet, 1 foot = 12 inches) (0306.4.11)

1. Convert Metric and US Lengths - explanation, practice, and then a quiz in the form of a game - from AAA Math
2. Convert Units of Length - nine units to convert from or to
3. General Tables of Units and Measurement - probably more than you will ever need to know from the Natinal Institute of Standards and Technology [ 19 pages if printed ]
4. How to Convert Units of Measurement - You can convert units easily and accurately with one simple rule: just multiply the old measurement by a carefully chosen form of the number 1. This page explains how to choose, with lots of examples.
5. Instantly Convert any Length Measurement - Your students could use this page to check equivalences. I am not sure how valid this is, but we just discovered that one mile is equal to 6,106,000 pixels

Make and record measurements that use mixed units within the same system of measurement (such as feet and inches, meters and centimeters) (0306.4.12)

1. Add Feet and Inches - explanation, practice, and then a quiz in the form of a game - from AAA Math
2. Divide Feet and Inches - explanation, practice, and then a quiz in the form of a game - from AAA Math
3. Multiply Feet and Inches - explanation, practice, and then a quiz in the form of a game - from AAA Math
4. Subtract Feet and Inches - explanation, practice, and then a quiz in the form of a game - from AAA Math

Use common abbreviations: km, m, cm, in, ft, yd, mi (0306.4.13)

1. Common Mathematics Abbreviations - Abbreviations.com has almost 1500 mathematics abbreviations
2. Common Math Abbreviations and Symbols - a one page MS Word document with a second page for students to write new abbreviations as you teach them
3. Common Math Symbols and Abbreviations - a six page document
4. Some Common Mathematical Symbols and Abbreviations (with History) - a four page document which includes latin terms

Recognize polygons and be able to identify examples based on geometric definitions (SPI 0306.4.1)

1. Creating Polygons - investigating the Concept of Triangle and the Properties of Polygons ( from NCTM )
2. Identify Polygons - names of polygons by number of sides and angles - instruction and review, practice, and a quiz &
3. Name that Polygon - identify name of given polygon components - instruction and review, practice, and a quiz &
4. Polygon Playground - arrange designs with online movable polygons - hundreds of polygons to drag anywhere you want

Determine if two figures are congruent based on size and shape (SPI 0306.4.2)

1. Congruent Concentration - use a matching board to demonstrate knowledge of congruent figures ( Author - Paulette Boggs )
2. Congruent or Not - explore the concept on congruency of polygons ( Author - Randy Russell )
3. Congruent Triangles - The most popular congruent figures are triangles!
4. Definition of Congruence - Objects that are exactly the same size and shape are said to be congruent.
5. More Practice with Congruences - Answer the following questions dealing with congruent figures.
6. Practice with Congruence - answer questions dealing with congruent figure

Identify the line of symmetry in a two-dimensional design or shape (SPI 0306.4.3)

1. Ask Hannah - describe symmetry in two-dimensional shapes ( Author - Julie Thompson )
2. Line Symmetry - many activities here
3. Lines of Symmetry - drag the shapes that have lines of symmetry into one bin and those that do not into the other bin
4. Lines of Symmetry - this video lesson explains horizontal, vertical and diagonal line symmetry, and then gives your students the chance to show understanding on several quizzes.
5. Symmetry Activity - practice making patterns that have symmetry

Calculate the perimeter of shapes made from polygons (SPI 0306.4.4)

1. Area Explorer - Find the perimeter of shapes on a grid
2. Bucky's Blueprints - Choose One Story House and click on Maybe Later when the registration screen comes up.
3. Fence Me In - find the perimeter of a rectangle ( Author - Mary Blackburn )
4. Perimeter Explorer - Students are shown shapes on a grid after setting the area and asked to calculate perimeters of the shapes.
5. Perimeter Practice - Adam Ant walks the perimeters and teaches how to find the perimeter of an object.
6. Perimeter of a Square - calculate the perimeter of a square with given dimensions
7. Perimeter of a Rectangle - calculate the perimeter of a square with given dimensions
8. Spy Guys Interactive - Area and Perimeter - Lesson 12
9. Spy Guys Interactive - Relating Area and Perimeter - Lesson 13

Choose reasonable units of measure, estimate common measurements using benchmarks, and use appropriate tools to make measurements (SPI 0306.4.5)

1. Are We There Yet? - select the appropriate unit of measure ( Author - Kaye Maddox )
2. Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance)
3. Measuring Tools - select measurement tools for real-world measuring situations ( Author - Sandi King )
4. Teaching Measures - Choose from three modules; length , mass, and capacity. Each category offers several activities for your large screen display as well as supporting worksheets.
5. That's Right - estimate measurements in real-world problems using money ( Author - Kaye Maddox )
6. Walrus World - learn strategies for solving real world problems ( Author - Randy Russell )

Measure length to the nearest centimeter or half inch (SPI 0306.4.6)

1. The Ruler Game - Learn To Read A Ruler (inches only - increments from inches to sixteenths)
2. Measure it - practice using a ruler - inches and centimeters
3. Centimeters - to nearest whole number ( from FunBrain )
4. Centimeters - to half centimeter ( from FunBrain )
5. Inches - to nearest whole number ( from FunBrain )
6. Inches - to quarter inch ( from FunBrain )
7. Teaching Measures - Choose from three modules; length , mass, and capacity. Each category offers several activities for your large screen display as well as supporting worksheets.
8. Worksheet Generator - ( inches only ) Print your own worksheets to let your students practice reading a ruler.

Solve problems requiring the addition and subtraction of lengths (SPI 0306.4.7)

1. Adding and Subtracting Measurements - Math Forum answer to a student's question on how to add and subtract inches
2. Help, Adding & Subtracting of measurements - from Yahoo Answers

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