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Problem 5

Fence the Wheat Farm

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Fence the Wheat Farm

Complete to collectCalcite RhombLevel 2 · 3 Glints

In Minecraft, Sam draws a blueprint for a rectangular wheat farm. The farm is 8 blocks long and 5 blocks wide. Sam has 24 fence blocks and will leave a 2-block-wide opening for a gate.

Build the fence from the blueprint, leaving room for the gate.

Your challenges

  1. How many square blocks of ground are inside the farm?

  2. After leaving the gate opening, does Sam have exactly enough fence blocks for the rest of the edge? Show the full perimeter and the amount that must be fenced.

Show your answer

Mark the 2-block gate and record the area and fence length on the blueprint. Use scratch paper for your equations as needed.

At a glance

About this problem

These tags show what the problem is about and the math you’ll use. Choose one to find similar problems.

Theme

Skills

Helpful first

Grade

Math area

Topics

Is this a good fit?

Before you choose this problem

A plain-language look at readiness, thinking, time, and the expected response.

Math readiness

Designed for Grade 3

Uses Late Grade 3 math.

Thinking

Standard challenge

The solver chooses and coordinates familiar methods.

Time & response

About 2–6 minutes

Light amount of written work · Short Answer response.

How to support: Ask the learner to distinguish farm area from the boundary length after leaving a two-block gate.

How did it feel?

Pick the option that best matches this challenge. Recommendations use topic, math area, grade, story, and thinking challenge.

Keep exploring

Minecraft challenge 3 of 7

Technical reference

Rating, skills & curriculum

Designed for Grade 3 · Uses Late Grade 3 math · About 2–6 minutes

Grade 3 · Measurement and units · Operations and computation · Area and perimeter · Addition and subtraction

MJ 3.8 · C2 · W1

Precise MJD coordinates, factor scores, skill weights, calibration evidence, and curriculum crosswalks. This reference is available to everyone and is intentionally last.

Content level

MJ 3.8

Grades 3–5

Grade 3 progression · point 8

Likely range
MJ 3.5–3.8
Confidence
93%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

  • Method selection1
  • Reasoning depth1
  • Novelty0
  • Constraint management1
  • Proof or justification1

Workload

W1 · Light

A short response with only a few steps.

Active time
2–6 minutes · typically 3.5
Response
Short Answer
Known-method steps
6
  • Mechanical execution1
  • Written output1
  • Representation production1
  • Bookkeeping0

Learning focus

Skills this problem practices

What a successful response demonstrates, with each skill’s share of the content rating.

  • Find rectangle area by multiplying side lengths

    The learner can find rectangle area by multiplying side lengths. This capability is distinct from mere exposure to or isolated use of arrays; multiplication.

    • Independent mastery
    • 45% focus
    • MJ 3.4 milestone

  • Find perimeters and unknown side lengths of polygons

    The learner can find perimeters and unknown side lengths of polygons. This capability is distinct from mere exposure to or isolated use of length addition.

    • Independent mastery
    • 40% focus
    • MJ 3.8 milestone

  • Solve one- and two-step addition/subtraction stories within 100

    The learner can solve one- and two-step addition/subtraction stories within 100. This capability is distinct from mere exposure to or isolated use of Grade 1 story structures.

    • Independent mastery
    • 15% focus
    • MJ 2.3 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

  • Interpret a product as equal groups or a rectangular array

    The learner can interpret a product as equal groups or a rectangular array. This capability is distinct from mere exposure to or isolated use of Grade 2 arrays.

    • Independent readiness
    • Required
    • MJ 3.2 milestone

  • Solve one- and two-step addition/subtraction stories within 100

    The learner can solve one- and two-step addition/subtraction stories within 100. This capability is distinct from mere exposure to or isolated use of Grade 1 story structures.

    • Independent readiness
    • Required
    • MJ 2.3 milestone

External alignment

Curriculum and standards crosswalks

Approved evidence-backed locations that support discovery. They do not define the MathJewels rating.

Bridges in Mathematicsthird-edition · 25 locations
Modules15 locations · Representative: Module 4: Adding & Subtracting to 20
Number Corner workouts10 locations · Representative: September: Calendar Grid
Common Core State Standards for Mathematics2010 · 4 locations
Standards2 locations · Representative: Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
Standard components2 locations · Representative: Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.