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Fractions, Decimals, and Parts of a Whole · Term 2

Representing Fractions on a Number Line

Students develop strategies for combining fractional parts that share a common unit using concrete and pictorial models.

Key Questions

  1. How do you decide where to place a fraction between 0 and 1 on a number line?
  2. What does the numerator tell you about a fraction's position on a number line?
  3. Can you use a number line to show that two different fractions represent the same amount?

Ontario Curriculum Expectations

CCSS.MATH.CONTENT.4.NF.B.3.ACCSS.MATH.CONTENT.4.NF.B.3.B
Grade: Grade 4
Subject: Mathematics
Unit: Fractions, Decimals, and Parts of a Whole
Period: Term 2

About This Topic

This topic explores the powerful natural events that can reshape the landscape and impact human communities, such as earthquakes, floods, and landslides. In the Ontario Grade 4 curriculum, students look at both the causes of these hazards and the engineering solutions designed to mitigate their damage. This connects the Earth Science strand with the Structures and Mechanisms strand, showing how science is applied in the real world.

Students will investigate how different terrains are prone to specific hazards and how early warning systems work. This is also a vital space to discuss Indigenous perspectives on living in harmony with natural cycles and traditional ways of preparing for environmental changes. This topic comes alive when students can physically model the patterns of structural failure and success through collaborative engineering challenges.

Active Learning Ideas

Watch Out for These Misconceptions

Common MisconceptionNatural disasters are 'punishments' from nature.

What to Teach Instead

Natural hazards are neutral geological or weather processes; they only become 'disasters' when they impact human life and property. Peer discussion about land-use planning helps shift the focus to human preparation.

Common MisconceptionA 'strong' building is always a 'stiff' building.

What to Teach Instead

In earthquakes, buildings often need to be flexible to absorb energy without snapping. Hands-on testing of flexible vs. rigid models helps students understand this engineering principle.

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Frequently Asked Questions

What are the best hands-on strategies for teaching natural hazards?
Engineering challenges are the most effective. By tasking students with building a 'flood-proof' or 'earthquake-resistant' structure, you force them to apply their knowledge of Earth's forces to a practical problem. This 'learning by doing' approach makes the abstract power of a tectonic plate or a river much more concrete.
What natural hazards are most common in Ontario?
Flooding is the most common and costly natural hazard in Ontario, followed by severe storms and occasionally small earthquakes in the eastern part of the province.
How do engineers use 'constraints' when designing for hazards?
Constraints are limits like budget, available materials, and time. Engineers must find the safest solution that fits within those limits.
How can we predict when a natural hazard will happen?
Scientists use tools like seismographs for earthquakes and satellite imaging for floods to look for patterns and provide early warnings to communities.

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