Multiplying by One-Digit Numbers
Students multiply a whole number of up to four digits by a one-digit whole number using various strategies including the standard algorithm.
Key Questions
- Design a strategy to multiply a four-digit number by a one-digit number.
- Evaluate the efficiency of different multiplication strategies (e.g., area model vs. standard algorithm).
- Predict the product of a multi-digit number and a one-digit number using estimation.
Ontario Curriculum Expectations
About This Topic
This topic investigates the behavior of light as it interacts with different surfaces and materials. Students explore the concepts of reflection (bouncing off), refraction (bending), and absorption (soaking in). The Ontario curriculum encourages a hands-on approach to light, as it is a primary way we gather information about the world. By using mirrors, lenses, and prisms, students see how light can be manipulated to solve problems or create art.
Students also learn about the visible spectrum and how white light is composed of many colors. This unit provides a great opportunity to discuss how different cultures, including Francophone and Indigenous communities, have used light and color in their traditions and technologies. This topic comes alive when students can physically model the patterns of light rays using flashlights and physical barriers.
Active Learning Ideas
Stations Rotation: Light Lab
Set up stations with mirrors (reflection), glasses of water with pencils (refraction), and black vs. white paper (absorption). Students must predict what will happen at each station before testing it and recording the results.
Inquiry Circle: The Periscope Challenge
Groups are given mirrors and cardboard tubes and must design a periscope that allows them to see over a 'wall' (a tall box). They must draw the path of the light rays to show how reflection makes this possible.
Gallery Walk: Shadow Puppetry
Students create shadow puppets to demonstrate how light travels in straight lines and is blocked by opaque objects. They present short scenes while the rest of the class identifies where the light is being absorbed or reflected.
Watch Out for These Misconceptions
Common MisconceptionWe see because light comes out of our eyes.
What to Teach Instead
We see because light reflects off objects and enters our eyes. Using a 'dark box' experiment where students try to see an object with no light source helps correct this ancient misconception.
Common MisconceptionLight only reflects off mirrors.
What to Teach Instead
Light reflects off almost everything, which is why we can see non-luminous objects. Peer discussion comparing a mirror to a piece of paper helps students understand the difference between regular and diffuse reflection.
Suggested Methodologies
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Frequently Asked Questions
How can active learning help students understand light and reflection?
What is the difference between transparent, translucent, and opaque?
Why does a straw look broken in a glass of water?
How do we see color?
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.
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