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Navigate the Grid

Maths • 15 • 25 students • Created with AI following Aligned with New Zealand Curriculum

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Maths
15
25 students
11 August 2026

Teaching Instructions

Using map scales, compass points, distance, and turn to interpret and communicate position s and pathways in coordinate systems and grid reference systems

Overview

Students use a simple map scale, compass points, distance and turns to interpret and communicate pathways on a coordinate grid. The lesson builds on prior understanding of coordinates, direction and measurement through a short, collaborative navigation challenge.

Learning intentions

  • WALT use coordinates and grid references to describe position.
  • WALT apply a map scale to calculate real distances.
  • WALT use compass points, distance and turns to communicate a pathway.
  • WALT explain and check whether a route is accurate.

Success criteria

  • I can locate and communicate a position using coordinates or a grid reference.
  • I can use a map scale to convert grid distance into real distance.
  • I can give clear instructions using compass points, distance and turns.
  • I can follow a pathway and identify or correct an error.

Curriculum links

  • Mathematics and Statistics — Mathsteasers: higher-order thinking questions that challenge advanced learners and deepen understanding.
  • Mathematics and Statistics — Mathsteasers / Alignment: applying mathematical ideas through relevant, connected challenge.
  • Mathematics and Statistics — Mathsteasers: additional resources for advanced learners.
  • Phase 3 spatial reasoning: interpreting and communicating position, direction, distance and pathways in coordinate and grid reference systems.

Lesson structure (15 minutes)

  1. 0–2 min · Hook. Teacher displays a map showing a rescue point, campsite and river using the opening map challenge and asks, “Can you describe the fastest route without pointing?” Students silently identify the starting and finishing positions, then share one possible instruction with a partner.

  2. 2–5 min · Model the language. Teacher uses the scale and route model to model a route from A to B, thinking aloud: “Move 3 squares east, then 2 squares north.” Introduce the scale, for example 1 grid square = 100 metres, and demonstrate that 5 squares represent 500 metres; clarify that a turn changes direction but does not itself give distance. Students repeat one route orally using a sentence frame: “From ___, travel ___ squares ___, then turn ___.”

  3. 5–10 min · Pair navigation challenge. Teacher distributes the coordinate navigation challenge to pairs and explains that Partner A reads a route while Partner B traces it without seeing the intended destination; partners then swap roles. Students use coordinates, compass points, distance and turns to complete two routes, calculate each route’s real distance using the scale, and record the destination coordinate or grid reference.

  4. 10–13 min · Check and improve. Teacher reveals the intended destinations and routes using the answer-check and discussion slides, asking, “Where could an instruction be misunderstood?” and “Does the shortest route always use the fewest turns?” Students compare answers, locate any error, and revise one instruction to make it more precise. Invite one pair to explain its route using the grid.

  5. 13–15 min · Exit check. Teacher displays the final exit question and asks students to complete the final box on the worksheet independently: “Starting at C4, move 4 squares east and 3 squares north. What is the destination, and what distance does this represent if 1 square = 50 metres?” Students submit or show their answer, including the calculation and one clear route instruction.

Resources

  • the navigation challenge slide deck
  • the coordinate navigation challenge
  • Projector or interactive whiteboard
  • Pens or pencils
  • Rulers, if students need support measuring grid distance
  • Board space for recording compass-point vocabulary
  • Optional highlighters for marking each movement in a different colour

Assessment

  • Listen during modelling and pair work for accurate use of coordinates, compass points, turns and scale. Ask, “How do you know that distance is correct?”
  • Check whether students distinguish grid squares from real distance and whether their instructions identify a unique pathway.
  • Use the exit response to assess coordinate accuracy, scale conversion and clarity of communication. Note students who reverse north/east or count intervals inaccurately.

Differentiation

  • Support students with the worksheet’s labelled grid, a visible compass rose, colour-coded movement arrows and the sentence frame: “Start at ___. Move ___ squares ___, then turn ___.”
  • Offer dyslexia-friendly access: read instructions aloud, use a clear sans-serif font, generous spacing, short numbered steps and coloured overlays or pale backgrounds where helpful. Pair students so one reads and one traces, then swap.
  • Reduce cognitive load by using whole-number scales and routes with horizontal and vertical movements before introducing a route with several turns. Allow students to point, draw arrows or rehearse orally before writing.
  • Extend advanced learners by asking them to design two different routes between the same coordinates, compare total distances and turns, and justify which route is most efficient. They may also create an ambiguous instruction and explain how to improve it.

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