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Welcome to Family Math Night. Problem Solving in Grade 3&4. PROBLEM SOLVING.
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Welcome to Family Math Night Problem Solving in Grade 3&4
PROBLEM SOLVING • demonstrate that they are reflecting on and monitoring their thinking to help clarify their understanding as they complete an investigation or solve a problem (e.g., by explaining to others why they think their solution is correct) • create basic representations of simple mathematical ideas (e.g., using concrete materials; physical actions, such as hopping or clapping; pictures; numbers; diagrams; invented symbols), make connections among them, and apply them to solve problems • communicate mathematical thinking orally, visually, and in writing, using everyday language, a developing mathematical vocabulary, and a variety of representations.
Problem 1 Grade 4
What makes a complete solution? • A complete solution process (e.g., shows & explains steps, meets the conditions of the problem) • Appropriate conclusions with supporting evidence (explain, prove, justify) • Demonstrates considerable understanding of concepts (e.g. uses operations appropriately, chooses a suitable strategy)
Problem 2 Rafid has a group of 10 coins with a total value of $5. There are three different kinds of coins in his group. What could be the coins in Rafid’s group? Explain your answer. Mathematics Grade 3, Spring 2007
Practise Working With Money • Use the fewest coins • Find as different ways to solve the problem (when appropriate) • Let them save their own money (like Stephen) • Let them pay or make change
Supporting Your Child At Home • Make it easy (use up to $1 or up to $100) • Always justify, prove, check and ask “How do you know you’re right?” • Teach them strategies for working with numbers • Let them solve problems in a way that works for them (e.g., use pictures, use real coins) • Let them do as much as they can independently
Thank you for coming • Remember that work at home should be easy practice • Visit schools.tdsb.on.ca/Kingslake/ for slides from tonight’s sessions and links to EQAO sample problems • Any questions?