Shape and Space (7-9)

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. Calculator.net – Use it to convert between commonly used units. Select the current unit in the left column, the desired unit in the right column and enter a value to generate the resulting conversion. 
  4. 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.
  5. 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.
    • 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.
    • Slope Calculator – Takes two points, uses the slope formula to calculate the slope of a line defined by those two points and then the y intercept. The slope and the intercept are combined to provide the equation of the line in slope intercept form.
    • Coordinate Plane – The blank coordinate planes include variations with labels on either the axis or the edge of the grid, as well as versions with quadrant labels. 
    • Degrees to Radians Converter – Calculates complementary and supplementary angles; shows a combined representation of the related angles so that they can be immediately visualized. The calculator automatically converts from degrees to radians when you enter a new value.
  6. Edx – Online math courses from MIT, ASU, and other leading math and science institutions. Get introductions to algebra, geometry, trigonometry, precalculus and calculus or get help with current math coursework and AP exam preparation.
  7. eTAP – Brings quality personalized education to children throughout the country with whatever educational resources can best engage them and promote active learners. 
  8. Galileo Educational Network – A list of middle school classroom resources for shape and space. The list is very short:
    • 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?
    • 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.
  9.   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.
  10. 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.
  11. – Use these Smart Board games, activities and lessons to learn about Radius, Diameter, Shapes, Quadrilaterals in grade 7-8 and Calculus, Algorithms, Differential, Fractals, Matrix, Pre-Calculus and Trigonometry in grade 9+. Note: Lots of ads to deal with on the page.
  12. 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. 
  13. 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.
  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 3 (gr. 7-9):
      • Geometry and Measures: Interpret mathematical relationships both algebraically and geometrically. Use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles. Understand and use the relationship between parallel lines and alternate and corresponding angles. Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies… and more.
      • Support for Secondary Teachers
  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. PBS Learning Media – Explore the properties of angles, shapes, and figures in space. Angles are analyzed using pool balls in an interactive lesson and video, students can discover how using concentric circles can help determine how much paint is needed to cover the deck of a carousel and volume is analyzed through experiments with popcorn and meatballs. Make sure to use the filter to isolate the right grade.
  19. 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.
  20. School Yourself (Geometry) – Interactive video lessons on geometry. The mathematics of lines, shapes, and angles. Essential stuff for describing the world around you.
  21. 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:
  22. 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 gr. 7-9 students:
  23. The Centre for Education in Mathematics and Computing – Covers the topics typically taught in Canadian Grade 7 – 9 Mathematics curricula and, in some instances, extends ideas beyond grade level.
    • Gr. 7-8 Area, Volume, and Angles: Topics include calculating the area of parallelograms, triangles, trapezoids, composite shapes and circles; calculating the volume and surface area of cylinders and prisms; properties of angles formed by intersecting lines including parallel lines and transversals; and representing 3D objects in different ways.
    • Gr. 7-8 Bisectors and Properties of Shapes: Topics include quadrilateral diagonals, circle terminology & construction and applications of circles in the real-world, constructions of angle bisectors & perpendicular bisectors and the various properties of triangles, quadrilaterals, & polygons.
    • Gr. 7-8 Transformations of Shapes: Topics include similarity of polygons, triangle similarity rules, dilatations of polygons, indirect measurements, congruence of polygons, triangle congruence rules, plotting points on the Cartesian plane, the image of a polygon on the Cartesian plane under translations, reflections and/or rotations on the Cartesian plane and tessellations.
    • Grades 9 Linear Relations and Analytic Geometry: Linear and non-linear relations. Solving linear equations and linear systems. Analytic geometry and statistics.
    • Grades 9 Measurement and Geometry: Pythagorean Theorem. Measurement of 2D figures and 3D solids. Optimization. Geometric relationships.
  24. 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.
  25. 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).
  26. 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.
  27. Visual Fractions – A way to help students learn about fractions and to understand them using interactive visual tools. Since then, we have expanded to become an online reference – covering fraction and math calculators, percentages, unit conversions, and more.
  28. 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.

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