Description
Help students master literal equations—and explain every move—with this step-by-step Algebra 1 video lesson. Learners practice isolating a target variable in common formulas (area, circle radius, distance–rate–time, simple interest), while justifying each step using inverse operations and the properties of equality. This video pairs seamlessly with the companion “Mastering Literal Equations: Worksheet for Solving & Rearranging Formulas” (sold separately on Teachers Pay Teachers) so you can move from clear modeling to independent practice fast.
What’s inside (video outline)
• Problem 1 – Triangle area (solve for h): From A = 1/2·b·h → multiply by 2; divide by b → h = 2A/b; include step-by-step justifications.
• Problem 2 – Circle area (solve for r): From A = πr² → divide by π; take the square root → r = √(A/π); note domain/units.
• Problem 3 – Distance formula (solve for s): From d = s·t → divide by t → s = d/t; state the restriction t ≠ 0.
• Problem 4 – Simple interest (solve for t): From I = P·r·t → divide by (P·r) → t = I/(P·r); connect to real financial contexts.
• Problem 5 – Linear growth/interest form (solve for t): From A = P(1 + r·t) → divide by P; subtract 1; divide by r → t = (A/P − 1)/r; emphasize why each step preserves equality.
• Bonus – Physics tie-in (no answer shown in the video): From F = m·a, have students rearrange for m; perfect for exit tickets or discussion.
Skills students will build
- Rearranging literal equations to highlight a quantity of interest
- Using inverse operations and properties of equality to justify each step
- Naming constraints/assumptions (nonzero divisors, square roots)
- Communicating reasoning clearly with precise math language
Standards alignment (CCSS)
- HSA.CED.A.4 — Rearrange formulas to highlight a quantity of interest using the same reasoning as solving equations.
- HSA.REI.A.1 — Explain each step in solving a simple equation as following from equality; construct a viable argument to justify the method.
How to use
- Mini-lesson or whole-class modeling before targeted practice
- Reteach/intervention and small-group support
- Flipped/independent learning (video first, worksheet next)
- Homework, stations, sub plans, or quick test-prep review
Perfect pair
Use with “Mastering Literal Equations: Worksheet for Solving & Rearranging Formulas” (sold separately) for immediate, aligned practice that mirrors the video.
What Teachers Are Looking For
literal equations, rearranging formulas, solve for a variable, inverse operations, properties of equality, Algebra 1 video lesson, CCSS HSA.CED.A.4, CCSS HSA.REI.A.1, area formulas, distance rate time, simple interest.
Highlights
Description
Help students master literal equations—and explain every move—with this step-by-step Algebra 1 video lesson. Learners practice isolating a target variable in common formulas (area, circle radius, distance–rate–time, simple interest), while justifying each step using inverse operations and the properties of equality. This video pairs seamlessly with the companion “Mastering Literal Equations: Worksheet for Solving & Rearranging Formulas” (sold separately on Teachers Pay Teachers) so you can move from clear modeling to independent practice fast.
What’s inside (video outline)
• Problem 1 – Triangle area (solve for h): From A = 1/2·b·h → multiply by 2; divide by b → h = 2A/b; include step-by-step justifications.
• Problem 2 – Circle area (solve for r): From A = πr² → divide by π; take the square root → r = √(A/π); note domain/units.
• Problem 3 – Distance formula (solve for s): From d = s·t → divide by t → s = d/t; state the restriction t ≠ 0.
• Problem 4 – Simple interest (solve for t): From I = P·r·t → divide by (P·r) → t = I/(P·r); connect to real financial contexts.
• Problem 5 – Linear growth/interest form (solve for t): From A = P(1 + r·t) → divide by P; subtract 1; divide by r → t = (A/P − 1)/r; emphasize why each step preserves equality.
• Bonus – Physics tie-in (no answer shown in the video): From F = m·a, have students rearrange for m; perfect for exit tickets or discussion.
Skills students will build
- Rearranging literal equations to highlight a quantity of interest
- Using inverse operations and properties of equality to justify each step
- Naming constraints/assumptions (nonzero divisors, square roots)
- Communicating reasoning clearly with precise math language
Standards alignment (CCSS)
- HSA.CED.A.4 — Rearrange formulas to highlight a quantity of interest using the same reasoning as solving equations.
- HSA.REI.A.1 — Explain each step in solving a simple equation as following from equality; construct a viable argument to justify the method.
How to use
- Mini-lesson or whole-class modeling before targeted practice
- Reteach/intervention and small-group support
- Flipped/independent learning (video first, worksheet next)
- Homework, stations, sub plans, or quick test-prep review
Perfect pair
Use with “Mastering Literal Equations: Worksheet for Solving & Rearranging Formulas” (sold separately) for immediate, aligned practice that mirrors the video.
What Teachers Are Looking For
literal equations, rearranging formulas, solve for a variable, inverse operations, properties of equality, Algebra 1 video lesson, CCSS HSA.CED.A.4, CCSS HSA.REI.A.1, area formulas, distance rate time, simple interest.
