Substituting into Formulae
Substitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and computing the result using correct order of operations
Lesson
Set out your lesson
Replace each variable with its given value, keep grouping and powers, and calculate with units where needed.
Before teaching
Use this short check, then start teaching.
Ask what 3p and p² mean. Expect 3 × p and p × p. Ask which operation comes first in 2 + 3 × 4. Expect multiplication, with a result of 14. If needed, revisit Algebraic Notation and Order of operations before starting. Signed products are explained again below.
Check readiness directly. Prerequisite availability is not attainment.
Share and support
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Comparing Fractions with the Same Numerators, Assessment Variation
Before you open · source notes
Comparing Fractions with the Same Numerators, Assessment Variation supports substituting into formulae. Not every worksheet pack.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to explain one step of “Comparing Fractions with the Same Numerators, Assessment Variation” in their own words.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Comparing Fractions with the Same Numerators, Assessment Variation.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Substitute positive and negative values into algebraic expressions and evaluate
- Substitute values into formulae involving multiple operations and powers
- Use correct order of operations when evaluating expressions after substitution
“If a formula says that the area of a triangle is ½ × base × height, can your child substitute in the measurements and calculate the answer correctly?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 11–12
Standards