Comparing and Ordering Integers and Rational Numbers
Students will compare and order integers and rational numbers (including fractions and decimals) using number lines and appropriate symbols.
Key Questions
- Justify the placement of positive and negative numbers on a number line.
- Compare the values of fractions and decimals by converting them to a common format.
- Explain how to order a mixed set of integers, fractions, and decimals from least to greatest.
NCCA Curriculum Specifications
About This Topic
Monoprinting and Multiples introduces 3rd Class students to the 'magic' of the transfer process. Unlike drawing directly on paper, monoprinting involves creating an image on a smooth surface and then pressing paper onto it to reveal a unique impression. This topic teaches students about the concepts of reversal, ink density, and the unique qualities of printed marks. It aligns with the NCCA Print strand, where the focus is on experimenting with various printmaking techniques and understanding that art can be reproduced.
This topic encourages a sense of play and discovery. Because the final result is often a surprise, it helps students move away from a fear of making mistakes. Students thrive in this topic when they can engage in collaborative investigations, comparing how different amounts of ink or pressure change the final 'pull' of the print.
Active Learning Ideas
Inquiry Circle: The Ink Lab
Students work in pairs to test variables: one uses a tiny bit of ink, the other uses a lot. They compare the results and present their findings on which 'recipe' created the clearest image.
Gallery Walk: The Big Reveal
As students 'pull' their prints, they hang them on a drying line. The class walks the line, identifying which prints show the best 'ghost' images and discussing why some details transferred better than others.
Think-Pair-Share: The Mirror Effect
Before printing, students write a word on their plate. After printing, they discuss in pairs why the word is now backwards and how they might fix this for their next attempt.
Watch Out for These Misconceptions
Common MisconceptionThe print will look exactly like the drawing on the plate.
What to Teach Instead
Students are often surprised by the mirror image. Peer discussion after the first 'pull' helps them realize they need to plan for reversal, especially when using letters or numbers.
Common MisconceptionMore ink always means a better print.
What to Teach Instead
Too much ink often fills in the lines, resulting in a blurry blob. Hands-on 'ink trials' allow students to see that a thin, even layer actually produces the sharpest details.
Suggested Methodologies
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Frequently Asked Questions
What can I use as a printing plate if I don't have professional equipment?
How can active learning help students understand printmaking?
Is monoprinting too messy for a standard classroom?
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Planning templates for Mathematical Explorers: Building Number and Space
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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