# Patterns & Relations

 Les Grandes Idées 4e: On peut reconnaître les changements récurrents dans les régularités et les représenter à l’aide d’outils et de tables. 5e: On peut représenter des régularités numériques par des tables de récurrence. 6e: On peut reconnaître et représenter les relations linéaires au moyen d’expressions algébriques et de droites (graphiques linéaires) et s’en servir pour faire des généralisations. 7e: On peut représenter les relations linéaires de plusieurs manières équivalentes pour reconnaître les régularités et pour faire des généralisations.

#### Number Talks & Image Talks

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.

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.

• Hot Chocolate – Students explore proportional relationships through skip counting, multiplying and adding.
• Acorn Hoarding – Students use videos of squirrels hoarding acorns to estimation and predict using linear patterns
• Bird Migration – Students use migration patterns to describe and predict linear patterns

#### Problem of the Week/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

• International Jumping Relay (Épreuve de relais) – comparing animals that jump at different rates in a race (p. 87-89)
• Puppy Plans (Adopter un chien) – budgeting for a puppy (p. 90 – 91)
• Black Box Calculations (Calculs de boîtes noires) – using inputs to find outputs (p. 92-94)
• Knitting Patterns (Patrons de tricot) – continuing a knitting pattern (p. 95-97)
• Aquarium Issues (Problèmes d’aquarium) – budgeting to fill an aquarium (p. 100-101)
• Crafty Construction (Construction artisanale) – using patterns of popsicle sticks to make frames (p. 102-105)
• Indoor Recess (Récréation intérieure) – determining who did what during indoor recess with a logic puzzle (p. 129-130)

Problem B (Grade 5/6) in French

• Sven’s Gym-Cans (Les contenants de Sven) – using an algebraic equation to determine the mass of cans of food (p. 67-69)
• Tempting Crickets (Des grillons thermomètres) – using tables and equations to tell the temperature based on the rate of cricket chips (p. 70-72)
• Boing! – following the pattern of a ball that bounces half its height each time (p. 73-74)

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