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MathematicsGeometryAges 5–8

Patterns & Sequences

Order and arrange combinations of mathematical objects in patterns and sequences

Lesson

Set out your lesson

Identify a repeating unit and use it to continue or design a pattern.

Before teaching

Activity

Can discuss the supplied example in an accessible mode; adapt directions without supplying the target answer.

Policy

Check the learner can follow the model with support before moving on. Source prerequisite ordering is not learner mastery; return to prerequisite work when needed.

Printer, credit, and teaching notes

Read shape names aloud if helpful; no colour recognition required. Open S first, G together, then T alone; put S and G away before T. Keys stay adult-only. No purchase or printing is required; an unavailable physical observation remains pending, not passed.

Materials are ready in each step. Use them on screen or print just the current step. Put teaching examples aside before the learner tries.

Next: Show

Adult extras
What this lesson covers and its limits

These are bounded opportunities, not learner attainment. Partial and blocked source requirements remain so.

  • partial: Order and arrange combinations of mathematical objects in patterns and sequences

    Finite repeating sequences only; numeric growth patterns are outside this sample.

  • partial: Continue a repeating pattern of shapes or colours

    Finite repeating sequences only; numeric growth patterns are outside this sample.

  • partial: Describe the rule for a given sequence of objects

    Finite repeating sequences only; numeric growth patterns are outside this sample.

  • partial: Create own patterns and sequences using mathematical objects

    Finite repeating sequences only; numeric growth patterns are outside this sample.

  • partial: Can {{name}} spot a repeating pattern made of shapes or objects and continue it, or create their own repeating pattern?

    Finite repeating sequences only; numeric growth patterns are outside this sample.

  • Finite repeating sequences only; numeric growth patterns are outside this sample.

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Teaching approaches

Gakuva’s recommended starting approach is selected. You can still compare every option.

1 approach

Selected Default Gakuva

Identify a repeating unit and use it to continue or design a pattern.

Identify a repeating unit and use it to continue or design a pattern.

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.

View learner plans ($12/mo per learner) See sample family archive

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

PhET Interactive Simulations · Practice link — not the full lesson

Fraction Matcher

Open practice (new tab)
Before you open · source notes

Fraction Matcher supports hands-on exploration for Patterns & Sequences. Not every lab worksheet.

Free interactive page, no sign-in required for the tested path.

Before you open

Ask the learner what they changed in the sim or page and what they observed.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

PhET Interactive Simulations. “Fraction Matcher.” External page; Gakuva does not copy, host, embed, or redistribute materials.

Unknown — link only

Check understanding

  • Continue a repeating pattern of shapes or colours
  • Describe the rule for a given sequence of objects
  • Create own patterns and sequences using mathematical objects
“Can your child spot a repeating pattern made of shapes or objects and continue it, or create their own repeating pattern?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Geometry
Age range
Ages 5–8

Standards

acara-v9:AC9M1A02acara-v9:AC9MFA01the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G1-C1.1the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G1-C1.2the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G1-C1.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G2-C1.1uk-nc-2013:Maths/Y2/GPD/1