Problem 17 · Corner CourtyardPrint one blank worksheet now, download its PDF, or prepare a family or classroom packet.
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Corner Courtyard

Complete to collectCalcite RhombLevel 2 · 3 Glints

The diagram shows an L-shaped courtyard. Every corner is a right angle, and all side lengths are in meters.

An L-shaped courtyard. Starting at the top edge and moving clockwise, the six side lengths are 8 meters, 4 meters, 3 meters, 5 meters, 5 meters, and 9 meters. Every corner is a right angle.
A bird’s-eye plan of the courtyard garden.

Draw the split on the courtyard. Use separate paper for your equation.

Split the courtyard into two nonoverlapping rectangles. Write an addition equation using the two rectangle areas, then find the total area in square meters.

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.

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 Middle Grade 3 math.

Thinking

Standard challenge

The solver chooses and coordinates familiar methods.

Time & response

About 2–6 minutes

Light amount of written work · Construction response.

How to support: The learner may choose any valid two-rectangle partition and draw it directly on the plan.

Keep exploring

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Technical reference

Rating, skills & curriculum

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

Grade 3 · Measurement and units · Area and perimeter

MJ 3.4 · 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 3.4

Grades 3–5

Grade 3 progression · point 4

Likely range
MJ 3.4–3.7
Confidence
87%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

  • Method selection1
  • Reasoning depth2
  • Novelty1
  • Constraint management1
  • Proof or justification0

Workload

W1 · Light

A short response with only a few steps.

Active time
2–6 minutes · typically 4
Response
Construction
Known-method steps
7
  • Mechanical execution1
  • Written output1
  • Representation production1
  • Bookkeeping1

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
    • 100% focus
    • MJ 3.4 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 · 10 locations
Modules7 locations · Representative: Module 3: Division Practice
Number Corner workouts3 locations · Representative: November: Calendar Grid
Common Core State Standards for Mathematics2010 · 3 locations
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.
Practice locations1 location · Representative: Look for and make use of structure.