AT THE CARNIVAL [DAY 2]
SOLVING INEQUALITIES
Investigate, solve and graph inequalities.
Intentionality
Math Talk
Visual Math Talk Prompt #1
Visual Math Talk Prompt #2
Visual Math Talk Prompt #3
Purposeful Practice
Resources & Downloads
Educator Discussion Area
Intentionality & Unit Overview
Length of Unit: 5 Days
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Students will continue exploring inequalities, including the symbolic and visual representations. Students will use the symbols >, <, ≤ or ≥ and graph solutions on a number line.
Intentionality…
The purpose of the Day 2 activities is to reinforce key concepts from Day 1. Students will engage in a math talk and have an opportunity to complete independent purposeful practice. The math talk and purposeful practice serve to develop a deeper understanding of the following big ideas:
- In an inequality, the two expressions are not necessarily equal, which can be indicated by the symbols: >, <, ≤ or ≥.
- A number line can show the values that hold for an inequality.
An open dot on a number line is used when an inequality involves “less than” or “greater than”, and a closed dot is used when it also includes “equal to”.
Math Talk
The purpose of today’s visual math talk is to reinforce the relationship between the symbolic and visual representation of inequalities. Present each inequality one at a time. Ask students to represent the inequality symbolically using the symbols >, <, ≤ or ≥. Encourage students to discuss a possible context for each inequality.
Visual Math Talk Prompt #1
Facilitator note: This number line represents the inequality n ≥ 20. There is a closed circle on 20 because the solution can include 20 and any value greater than. The arrow at the end of this number line indicates that the values beyond twenty are infinite. A context for this inequality might be:
A community group is engaged in a beach cleanup. Every member is responsible for collecting at least 20 pieces of garbage.
Visual Math Talk Prompt #2
Facilitator note: This number line represents the inequality n < 18. There is an open circle on 18 because the solution does not include this value. Rather, every value less than 18. A sample context for this inequality is:
The event is open to all youth under the age of 18.
Visual Math Talk Prompt #3
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Purposeful Practice
While Students Are Practicing…
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Questions: Solving and Graphing Inequalities
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Resources & Downloads
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Educator Discussion Area
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