Learning Goal
Absolute value equations and inequalities
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
A 606. Solve absolute value equations *(Algebra, 28–32)*
A 701. Solve simple absolute value inequalities *(Algebra, 33–36)*
N 404. Understand absolute value in terms of distance *(Number & Quantity, 20–23)*
A 503. Solve first-degree inequalities when the method does not involve reversing the inequality sign *(24–27)*
A 504. Match compound inequalities with their graphs on the number line (e.g., –10.5 < x ≤ 20.3) *(24–27)*
A 602. Solve linear inequalities when the method involves reversing the inequality sign *(28–32)*
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A 606. Solve absolute value equations (Algebra, 28–32)
A 701. Solve simple absolute value inequalities (Algebra, 33–36)
N 404. Understand absolute value in terms of distance (Number & Quantity, 20–23)
A 503. Solve first-degree inequalities when the method does not involve reversing the inequality sign (24–27)
A 504. Match compound inequalities with their graphs on the number line (e.g., –10.5 < x ≤ 20.3) (24–27)
A 602. Solve linear inequalities when the method involves reversing the inequality sign (28–32)
What you'll learn
- Solve an absolute value equation or inequality with one linear expression inside the bars, reading $|x - c|$ as the distance from $x$ to $c$
- Solve $|X| = k$ by isolating the bars and splitting into $X = k$ or $X = -k$, identifying the no-solution ($k < 0$) and one-solution ($k = 0$) cases, and discarding extraneous candidates when a variable sits outside the bars
- Solve $|X| < k$ as the single interval $-k < X < k$ and $|X| > k$ as two rays joined by "or", graph each, and explain the difference from the distance picture
- Translate a tolerance statement into an absolute-value inequality, and an interval back into a centre-and-tolerance statement
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!