AT THE CARNIVAL [DAY 4]
SOLVING INEQUALITIES
Investigate, solve and graph inequalities.
Intentionality
Math Talk
Visual Math Talk Prompt
Purposeful Practice
Resources & Downloads
Educator Discussion Area
Intentionality & Unit Overview
Length of Unit: 5 Days
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Students will continue solving and graphing inequalities that involve one operation.
Intentionality…
The purpose of the Day 4 activities is to reinforce key concepts from Day 3. 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”.
- Inequalities can be solved as an equation to identify those that hold for the inequality.
Math Talk
Today’s visual math talk aims to solidify our understanding of the solutions to an inequality graphed on a number line. Students will be presented with two number line representations. They will be asked to notice and name the characteristics of each number line and discuss how they are the same and different.
Visual Math Talk Prompt
Ask students:
What do you know about each number line?
How are they the same?
How are they different?
What context could each number line represent?
Provide students an opportunity to pair (discuss with a partner), square (two sets of partners come together as a group of four), and ultimately share as a whole group. Students are encouraged to share their thinking amongst the learning community rather than direct responses to the teacher.
Facilitator note:
- The first number line is discrete. There are points on the values rather than a solid line.
- The second number line is continuous. A solid line connecting the values indicates that fractional amounts between whole numbers are also included in the solution.
- The first number line is greater than or equal to 15.
- The second number line is less than 10.
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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