Evaluating Statements About Number Operations
This lesson unit is intended to help you assess how well students are able to:
- Understand the properties of number operations.
- Substitute integers, fractions, decimals, and negative numbers into inequality statements in order to test their validity.
- Represent inequalities algebraically and in words.
This lesson unit is structured in the following way:
- Before the lesson, students work individually on an assessment task designed to reveal their current understanding and difficulties. You then review their responses and create questions for students to consider when improving their work.
- After a whole-class introduction, students work in small groups on a collaborative task, describing inequalities algebraically and in words.
- In the same small groups, students match descriptions of when the statements are true to their completed cards.
- To end the lesson there is a whole-class discussion.
- In a follow-up lesson, students work alone again on a similar task to the introductory task.
- Each student will need a copy of the two assessment tasks: Number Operations: Inequalities and Number Operations (revisited), a mini-whiteboard, a pen, and an eraser.
- Each small group of students will need Card Set A: Statements, Card Set B: When is the statement true? (both sets cut-up), a large sheet of paper, felt-tipped pens, and a glue stick.
- There is a projector resource to support whole-class discussions.
15 minutes before the lesson, a 100-minute lesson (or two 60-minute lessons), and 15 minutes in a follow-up lesson. Timings are approximate. Exact timings will depend on the needs of the class.
This lesson involves a range of mathematical practices from the standards, with emphasis on:
- MP1: Make sense of problems and persevere in solving them
- MP2: Reason abstractly and quantitatively
- MP3: Construct viable arguments and critique the reasoning of others
- MP5: Use appropriate tools strategically
- MP6: Attend to precision
- MP7: Look for and make use of structure
- MP8: Look for and express regularity in repeated reasoning
Mathematical Content Standards
This lesson asks students to select and apply mathematical content from across the grades, including the content standards:
- 6.EE: Apply and extend previous understandings of arithmetic to algebraic expressions.
- 6.EE: Reason about and solve one-variable equations and inequalities.
- 6.NS: Apply and extend previous understandings of numbers to the system of rational numbers.