Division with Two-Digit Divisors
Students will divide whole numbers with up to four-digit dividends and two-digit divisors using strategies based on place value, properties of operations, and the relationship between multiplication and division.
Key Questions
- Explain how estimation can help determine the first digit of a quotient.
- Analyze the steps of the standard algorithm for long division with a two-digit divisor.
- Construct a real-world problem that requires division with a remainder.
Ontario Curriculum Expectations
About This Topic
Goal setting is a vital social-emotional and physical literacy skill that helps students to take charge of their own growth. In Grade 5, students move from general desires to creating specific, measurable, and realistic fitness goals. This process involves self-reflection, identifying personal interests, and understanding one's current abilities. The Ontario Curriculum integrates this into both the Active Living and Social-Emotional Learning strands.
Learning to set goals helps students build resilience and motivation. They learn that progress is often incremental and that setbacks are a natural part of the journey. This topic is particularly well-suited for student-centered approaches where learners can share their journeys, provide peer support, and use visual tools to track their personal milestones over time.
Active Learning Ideas
Think-Pair-Share: The 'Why' Behind the Goal
Students think of one physical activity they want to get better at. They pair up to explain why this matters to them and help each other turn a vague wish into a specific, measurable goal.
Gallery Walk: Motivation Station
Students create small posters showing a goal they have and one 'obstacle' they might face. They walk around the room and write supportive 'strategy' ideas on their classmates' posters to help them overcome those obstacles.
Inquiry Circle: The Progress Tracker
In small groups, students design a creative way to track a shared class goal (e.g., total minutes of activity). They must decide what data to collect and how to celebrate small wins along the way.
Watch Out for These Misconceptions
Common MisconceptionA goal is only successful if you reach it perfectly.
What to Teach Instead
Goal setting is about the process of improvement. Use 'reflection circles' to discuss what was learned during the attempt, even if the final target wasn't met, emphasizing growth over perfection.
Common MisconceptionGoals should be as big as possible to be meaningful.
What to Teach Instead
Huge goals can be discouraging. Teach students to set 'stepping stone' goals. Peer feedback can help students break a large goal (like running a 5k) into smaller, manageable weekly targets.
Suggested Methodologies
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Frequently Asked Questions
What is a SMART goal for a Grade 5 student?
How can I help a student who feels unmotivated by fitness goals?
How can active learning help students with goal setting?
How often should Grade 5 students reflect on their goals?
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Operating with Flexibility: Multi-Digit Thinking
Multi-Digit Multiplication Strategies
Students will use various strategies, including area models, partial products, and the standard algorithm, to multiply multi-digit whole numbers.
2 methodologies
Estimating Products and Quotients
Students will estimate products and quotients of multi-digit numbers using rounding and compatible numbers to check for reasonableness.
2 methodologies
Interpreting Remainders
Students will interpret remainders in division problems based on the context of the problem, deciding whether to ignore, round up, or express as a fraction/decimal.
2 methodologies
Order of Operations
Students will evaluate numerical expressions using the order of operations, including parentheses, brackets, and braces.
2 methodologies