If your sum AND your difference AND your product are taken, you can cover a penguin instead! Three in a line in your colour wins the game.Īs we move into another week of “school at a distance”, I’d like to offer you a game for intermediate students. You can only pick one! Cover that number in your colour. Now decide which one of these answers (the sum, the difference or the product) you will use. (subtract one number from the other)įind the product and write it down. (add the numbers)įind the difference and write it down. Here’s how to play (full instructions are included on the “Penguins!” game board):įind the sum and write it down. It’s a good idea to have a piece of paper and a pencil handy for calculations. They can be beans coloured on one side with a marker, or even some Cheerios and some Shreddies cereal. To play you’ll need 2 regular 6-sided dice and some counters. The game “Penguins!” is strategic and fun for the whole family! In a time when we find ourselves spending more time together, learning and thinking and playing together at home, I wanted to share a game that is appropriate for players of all ages. Manageable and accessible digital scaffolds are highlighted, including virtual manipulatives and graphing tools. Games, problems and levelled practice are included in each lesson, allowing for extensions and support as needed. Algebra tiles, number balances and 4-pan algebra balances are used to model relations and to represent and solve advanced algebraic equations. Lessons include open-ended prompts, direct instruction and age-appropriate manipulatives use to promote the big ideas in algebraic thinking.Ĭontent includes: increasing and decreasing patterns, generalizing from a T-table, describing and graphing linear relations in all 4 quadrants, explorations of slope (positive, negative, whole number and fractional) as well as y-intercept and the general form of a line, interpolation and extrapolation, operations on integers, solving equations, monomial and binomial multiplication using the distributive property, converting word problems to algebraic equations and more!Ī range of strategies for developing mathematical language, for addressing diversity and for authentic assessment are featured in this 250 page teacher resource book. The resource focuses on the two important strands of algebraic thinking: patterns and relations and solving equations. I am reaching out to let you know that I have just completed a new resource for intermediate and middle school teachers entitled Algebraic Thinking for Grades 5-9. Stay tuned for the Grades 2-4 version coming soon! The more we share our thinking the smarter we all become! The richness comes from the shared discussion and comparison of strategies. Intended to be used daily, these problems are designed to promote mathematical curiosity and connection-making. Problem sets can also be used as an intact set of 5, allowing students to choose the problem that is just right for them. Each task is slightly more complex than the last to allow for conceptual development over the course of a week. Problems are structured in sets of 5, clustered by topic, strategy or big math idea. In this second volume of problems, students will engage with tasks involving the operations, proportional reasoning, measurement and patterns designed to promote mathematical capacity. More Good Questions: A Year of Open Ended Math Problems for Grades 5-8is exactly that - a series of 220 tasks to inspire thinking, connection-making and reasoning for today’s diverse math classrooms. I am immensely pleased to announce the release of my latest volume of problems for intermediate and middle school classrooms.
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