Shape and Space (4-6)

Shape and Space

  1. A-Plus Math (Varsity Tutors) – Interactive math resources for teachers, parents, and students featuring free math worksheets, math games, math flashcards, and more. (The interactive worksheets also have a print option.)
  2. BetterLesson – Lesson ideas in the Math section with the subheadings specified below.
  3. CanFigureIt Geometry – – An interactive canvas to make and prove claims. A continuously updated diagram indicating where students are in the proof. An embedded glossary with visuals and templates demonstrating the structure of theorems. A teacher dashboard that provides performance reports at the student and classroom level. For grades 6 and up.
  4. Dad’s Worksheets – There are only a few worksheets aimed specifically at geometry or measurement on this website.
    • Basic Geometry Depending on the grade level, the first three sections have worksheets for identifying shapes, lines or angles.
    • Telling Analog Time – Students either need to tell time or color in the hands to reflect a given digital time. Later worksheets require students to add minutes, solve various problems starting with whole hours or add minutes to times that cross the twelve o’clock boundary on the clock face on more advanced worksheets.
    • Analog Elapsed Time – Elapsed time worksheets dealing with a whole hour, half hour, fifteen minute or five minute intervals and calculating intervals within and past the current hour.
    • Money – These printable money worksheets feature realistic coins and bills in problems for identifying coins, making change, counting coins, comparing amounts of money. Great for K-2 students!
    • Inches Measurement – Reading a ruler is a crucial skill and a great way to apply math skills to real world objects. These worksheets help prepare first grade and second grade students for real-world ruler activities. 
    • Metric Measurement – Learning to read a ruler is a great way to apply math skills to real world objects and an important elementary grade skill.
    • Metric SI Unit Conversions – The worksheets on this page all deal with unit conversions within the metric system. 
    • Customary Unit Conversions – The customary measurement system is more complex and requires memorizing to make conversions happen. These worksheets practice converting between customary units of mass, volume and distance.
    • Customary and Metric – These conversion worksheets have problems with various levels of difficulty converting between imperial (customary) and metric unit of length using unit fractions and unit cancelling. 
    • Measurement Chart – This measurement chart is a good reference aid for word problems involving converting volume, length or temperature units from one system to the other. Values are shown on one scale in both customary and metric systems.
  5. Education Fun Club – – A strong belief in importance of education as essential key for the progress of nations as well as leading our kids to better future. Events, programs and audio-visual attractions that deliver an educational content.
    • Grade 4 Shape and Space
    • Grade 5 Shape and Space
    • Grade 6 Shape and Space
  6. eTAP – Brings quality personalized education to children throughout the country with whatever educational resources can best engage them and promote active learners. 
  7. Galileo Educational Network – A list of elementary school classroom resources for shape and space. The list is very short for grade 4-6 students:
    • Area is a Square Deal – If we measure the area of rectangles by dividing them into squares, then what shape should we use to measure area for triangles?
    • Bean Pi – A math experiment using Pi (best for grades 5 and up).
    • Connect The Dots – A unicursal curve in the plane is a curve that you get when you put down your pencil, and draw until you get back to the starting point.
    • Geometric Models Investigation – Discover the rules that describe geometric situations.
    • Tiling – Determining what shapes tile a plane is not a simple matter. There are some polygons that will tile a plane and other polygons that will not tile a plane.
  8.   Geogebra – – Free digital tools for class activities, graphing, geometry, collaborative whiteboard and more. Find over 1 million free activities, simulations, exercises, lessons, and games for math.
  9. Gizmos – Find the perfect Gizmo to get your students ready for success. Manage your classes and assess your grade 3-12 students in one place. Make planning easy with customizable, expert lesson materials. There are free gizmos available but access to the full library needs a subscription.
  10. – Use these Smart Board games, activities and lessons to learn about Geometry, Measurement and Money. Note: Lots of ads to deal with on the page.
  11. Khan Academy – The most fundamental branch of math is having a clear idea on number sense and numeration. It consists of understanding place values and basic operations. 
  12. Math and the Art of M.C. Escher – Celebrates Escher’s vast collection of work encompassing almost every area in the math art world and includes examples of Escher’s work by category and educational activities.
  13. MathFROG – A website of mathematics fun resources and online games for grades 4, 5, and 6 students, teachers and parents in all the math strands.
  14. Math Worksheets 4 Kids – Introduces the elementary math concepts with sets of number measurement and geometry worksheets featuring topics like time, calendar, money, 2D or 3D shapes and more. 
  15. National Centre for Excellence in the Teaching of Mathematics – The materials below are specifically for teachers dealing with numeracy.
    • Key Stage 2 (Gr. 4-6):
      • Year 4 Measurement: Estimate, compare and calculate different measures, including money. Calculate the area and perimeter of rectangles and squares. Read, write and convert time (analogue and digital).
      • Year 4 Geometry (Properties of Shapes): Compare and classify geometric shapes. Recognise acute and obtuse angles. Identify lines of symmetry in 2D shapes. Complete a simple symmetric figure.
      • Year 4 Geometry (Position and Direction): Describe positions on a 2D grid as coordinates in the first quadrant. Describe movements between positions as translations of a given unit to the left/right and up/down. Plot specified points and draw sides to complete a given polygon.
      • Year 5 Measurement: Compare, describe, measure and solve practical problems for lengths/weights, mass, capacity/volume and time. Recognise and know the value of different denominations of coins and notes. Use language relating to dates including days of the week, weeks, months and years.
      • Year 5 Geometry (Properties of Shapes): Identify 3D shapes (cubes and other cuboids) from 2D representations. Know angles in degrees: estimate and compare acute, obtuse and reflex angles. Draw given angles and measure them. Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
      • Year 5 Geometry (Position and Direction): Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.
      • Year 6 Measurement: Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate. Use, read, write and convert between standard units, converting measurements of length, mass, volume and time using decimal notation to up to three decimal places. Recognise that shapes with the same areas can have different perimeters and vice versa.
      • Year 6 Geometry (Properties of Shapes): Draw 2D shapes using given dimensions and angles. Compare and classify geometric shapes based on their properties and sizes; find unknown angles in any triangles, quadrilaterals, and regular polygons. Illustrate and name parts of circle, including radius, diameter and circumference.
      • Year 6 Geometry (Position and Direction): Describe positions on the full coordinate grid (all four quadrants). Draw and translate simple shapes on the coordinate plane and reflect them in the axes.
  16. NRICH – – Curriculum-linked resources to develop mathematical reasoning, and problem-solving skills.
  17. NumberSense Mathematics Programme – It has been created to support children’s development of a robust sense of number and deep understanding of mathematics. The K – 7 programme is responsive to the developmental needs of children, informed by current research on how children learn mathematics and provides a comprehensive mathematics solution. Most of it is free to use but some material is available for purchase only.
  18. Ontario Junior Math Resources – Resources, assessments and activities specifically in measurement and geometry/spatial sense for grades 4-6 students.
  19. PBS Learning Media – K-8 students (using interactives, videos and lesson plans) can review the calculation of area, find the area of combined shapes and can be assessed on their understanding using Khan Academy. Similar units can be created on topics such as lines and angles, probability models, and the multiplication and division of fractions. Make sure to use the filter to isolate the right grade.
  20. Pink Monkey – – Nine geometry-packed chapters that include lessons, quizzes, and more. The website’s simple design and easy-to-navigate chapters make it easy to interact with.
  21. School Yourself (Geometry) – Interactive video lessons on geometry. The mathematics of lines, shapes, and angles. Essential stuff for describing the world around you.
  22. Super Teacher Worksheets Various types of shape and space worksheets available including angles, area, perimeter, shapes, radius, and more. The limited amount of “free” worksheets on this subject are listed below:
  23. Texas Instruments – Browse and download activities designed for the complete line of Texas Instruments (TI) graphing calculators. Here are the search results from the activities directory for K-5 students:
  24. The Centre for Education in Mathematics and Computing – With CEMC Digital, students and teachers can discover new ideas and dive deep into problem solving. The online resources are developed by expert CEMC educators and provide enrichment opportunities to students from Grades 4 to 12 with a mix of online games, video lessons, exercises and challenge problems.
    • MathFROG (outlined more in-depth in list above)
    • Emmy Noether Circles – Each Circle is a set of six problems, plus hints, suggestions, and solutions. The problems can be used individually, or as a set, as time permits. Circles are available in the charts below both as complete sets and divided into problems identified by curriculum strand.
    • Problem of the Week – Designed to provide students with an ongoing opportunity to solve mathematical problems. Each week, problems from various areas of mathematics will be posted and e-mailed to teachers for use with their students from grades 3 and up.
    • Math Circles – A free weekly enrichment activity for grade 6 to 12 students organized by the Faculty of Mathematics of the University of Waterloo. Math Circles materials, including presentation outlines, practice problems, and solutions, will be posted weekly. Registration for Fall 2021 Math Circles will take place online, beginning on Wednesday, September 15, 2021.
  25. The Get-it Guide – Math tutorials with slideshows and a follow-up worksheet to help focus on the key steps required for solving the math problem, determine the steps of the solution path you understand and identify the steps of your solution path you do not yet understand. Develop mathematical resilience when solving problems. Read and talk about the math problem you are trying to solve.
  26. The Math Learning Center – The apps are based on visual models featured in Bridges in Mathematics. They are available in two or more versions: a web app for all modern browsers, and downloadable versions for specific operating systems and devices (such as Apple iOS for iPad).
  27. Virtual Nerd – Developed as a supplemental learning resource for teachers and students with over 1,500 video lessons focusing on middle school and high school mathematics – especially for algebra and geometry.
  28. Worksheet Genius – Ready-made worksheets in different areas of measurement (no geometry). This math strand is limited on the website and only includes the following:
  29. WorksheetWorks – A collection of worksheet generators that provide various quick and easy worksheets when something is needed for K-6 students in a pinch.
    • Geometry Working with shapes and coordinates. Measuring geometric shapes.
    • Measurements – Choosing and writing the best units. Best estimates.
    • Money – Basic money problems using pictures.
    • Time – Clock basics. Math with clocks. Math with calendars.

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