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Shape & Space
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Les Grandes Idées |
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| 4e: Les polygones sont des figures géométriques fermées avec des caractéristiques communes que l’on peut décrire, mesurer et comparer. | 5e: Les figures géométriques fermées ont une aire et un périmètre que l’on peut décrire, mesurer et comparer. | 6e: On peut décrire, mesurer et comparer les propriétés des solides et des figures géométriques à l’aide de mesures comme le volume, l’aire, le périmètre et les angles. | 7e: Le rapport constant entre la circonférence et le diamètre d’un cercle peut servir à décrire, à mesurer et à comparer des relations géométriques. |
Number Talks & Image Talks EN FRANÇAIS
Math talking tasks are great for warm-ups and daily numeracy routines. Students look at images and brainstorm with prompts. There are a range of access points, which develops growth mindset and self-efficacy in math. 
- Quel est l’intrus?: Les formes – Les élèves regardent 4 images et doivent justifier pourquoi chaque forme est l’intrus du groupe. (indice: il n’y a pas de mauvaises réponses!)
- Préférerais-tu? -> Répertoire des activités -> Pourcentage
- Préférerais-tu? -> Répertoire des activités -> Cercle (7e)
- Parlons Cube – de la causerie mathématique inspiré par des représentations visuelles des numéros en cubes.
- Vidéo explicative;
- Niveau 3: Double épaisseur
- Niveau 4: Texture
Estimation-mystères de Steve Wyborney sont des activités de causerie mathématique concernant le volume et la capacité. Les élèves font des estimations et ensuite suivent des indices pour découvrir la réponse à la fin.Voici un exemple d’un mystère.
- Voici le site web des mystères traduites pour l’intermédiaire.
3-Act Tasks (Three Act Task Explained)
These are 30-60 minute activities you can do to develop students’ observation, questioning, and estimating skills, as well as skills for calculating and solving real-life situational problems. They have 3 “Acts” with hints, photos, videos and reveals. Most videos include very few words in English, so they can be easily adapted for French Immersion, and the discussions help boost students oral French skills.
- Downsizing Tomatoes (Gr 4-5): Students estimate how many small bottles of ketchup can be filled by a big one (Volume).
- (Downsizing Tomatoes Guiding Worksheet)
- Packing Sugar: Students estimate the volume of sugar in a box by using base area x height (Guiding Worksheet)
- Girl Guide Cookies: Students use layers and estimating to determine how many cookies are in the boxes. Helps develop understanding of volume.
- Grass is Greener (Gr 5+): Students use row and column structure to deduce the area of a rectangle.
- Covering Ground (Gr 6-7): Students use a landscaping scenario to use the area of a rectangle to deducing the area of a triangle
- Popcorn Holders – Students investigate volume of cylinder, cone, and sphere by comparing how much popcorn fits inside each
- Can’t Get Enough Cereal (Gr 6+) – Students compare volume of cereal boxes (rectangular prisms)
For the Win (Gr 5-6) – Students look at angles in a game of pool (Guiding Document)
Cross-Curricular Shape & Space
Outdoor Learning:
Plan the layout of your school garden to accommodate planting seasons, and companion plants, and maximize space
Getting to the Root of It: Outdoor Learning and Numeracy
ADST:
Scratch for Educators has a Tutorial for a Chase Game that can get your intermediate class coding, and using negative and positive x and y coordinates to make the Sprite (character) move!
Art:
MC Escher’s Art bends shapeIslamic Geometric Design
Other Innovative Shape & Space Activities
3D Virtual Geometric Manipulatives – rotate, fold and unfold shapes in slow motion to see their geometric nets
Math You Can See by Ms. Wright – Many activities around shape, including art projects
Problème de la semaine
POTW is a daily math problem, mostly based on real-life situations, released by the University of Waterloo Centre for Excellence in Mathematics each week. Here are some examples of POTW focusing on number sense. These are great questions to use for Vertical Non-permanent Surfaces (i.e. collaborative problem solving using whiteboards around the classroom). Each link includes the answer key. (À noter: les réponses sont seulement en anglais.)
Problem A (Grade 4) in French
- Conception de terrace – organizing patio stones to build a patio with certain dimensions (p. 58-60)
- Un punch parfait – mixing a punch and pouring it into different cups (p. 61-62)
- Des tuiles difficiles – rearranging tiles of different sizes (p. 63-64)
- Le périmètre et l’aire – finding the perimeter and area of a parking lot (p. 66-68)
- Les développements de Dominique – finding as many nets as possible for a cube (p. 72-74)
- La carte au trésor – using a grid and clues to find the treasure spelled out (p. 77-79)
- Origami – folding paper and determining the fraction of the new size (p. 80-82)
Problem B (Grade 5/6) in French
- Le chariot de foin de Holly) – using volume of rectangular prisms to organize bales on a wagon (p.40-41)
- Les tailles d’écran, d’hier et d’aujourd’hui – using area to compare sizes of screens (p. 44-45)
- Parc d’attractions – using a grid to plan routes around an amusement park (p. 48-50)
- La clôture de Mélodie – using fraction lengths of fence posts (p. 51-53)
- Jardins concurrents – comparing areas of triangular gardens, minus objects (p. 54-56)
- Le grand partage – organizing irregularly shaped bedrooms so each sibling has the same size room (p. 57-59)
- Courtepointe de feuilles d’érable – finding the area of a leaf shape on a quilt by dividing the leaf into familiar shapes (p. 63-65)