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Additive Thinking and Mental Strategies · Term 2

Adding Two-Digit Numbers (No Regrouping)

Students will add two-digit numbers using strategies based on place value and properties of operations, without regrouping.

Key Questions

  1. Explain why we add the ones digits first when adding two-digit numbers.
  2. Design a visual model to show 23 + 45.
  3. Compare adding tens and ones separately to adding numbers vertically.

Ontario Curriculum Expectations

2.NBT.B.5
Grade: Grade 2
Subject: Mathematics
Unit: Additive Thinking and Mental Strategies
Period: Term 2

About This Topic

Physical Changes focuses on how heating and cooling can alter the properties of materials. Students observe how solids can turn into liquids (melting) and liquids into solids (freezing), and how these changes can sometimes be reversed. This topic is a key component of the Ontario Grade 2 curriculum, as it helps students understand the relationship between temperature and the state of matter. It also introduces the idea that some changes, like burning or cooking an egg, are permanent, while others, like melting an ice cube, are not.

By exploring these changes, students learn to make predictions and record observations over time. This topic is particularly effective when students can engage in hands-on modeling and real-time observation. When students work in groups to see which material melts fastest or how a liquid changes as it cools, they are directly experiencing the cause-and-effect nature of science. These active experiences help them grasp that 'change' is a process that can be measured and described.

Active Learning Ideas

Watch Out for These Misconceptions

Common MisconceptionMelting and dissolving are the same thing.

What to Teach Instead

Students often say sugar 'melts' in water. Use a side-by-side comparison: an ice cube melting (heat only) and sugar dissolving (requires a liquid). Peer discussion helps clarify that melting is a change of state, while dissolving is mixing.

Common MisconceptionEverything that melts can be turned back into a solid.

What to Teach Instead

While many physical changes are reversible, students might think all heat-related changes are. Discussing 'cooking' versus 'melting' helps them see that some heat changes the material's nature permanently.

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Frequently Asked Questions

How does this topic connect to the Ontario environment?
The change of seasons in Ontario is a perfect example. Discussing the freezing and thawing of local lakes or the melting of snow in spring makes the concept of physical change highly relevant to their lives.
What is the best way to demonstrate reversible changes?
Water is the gold standard. Freezing it into ice and then melting it back into water is a clear, safe, and repeatable demonstration that students can easily understand.
How can active learning help students understand physical changes?
Active learning, such as the 'Melting Race,' allows students to see the process of change as it happens. Instead of just seeing the 'before' and 'after,' they observe the transition, which helps them understand that temperature is the driving force behind the change.
Why do some things melt faster than others?
Explain that different materials have different 'melting points.' Some things, like ice, only need a little bit of heat, while others, like metal or even some plastics, need a lot of heat to turn into a liquid.

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