Tunnels of Antsberg

Tunnels of Antsberg

Ages 6–10 · 15 minutes · Math

Can an ant travel down every tunnel without visiting the same tunnel twice?

Can an ant travel down every tunnel without visiting the same tunnel twice? It depends on the maze and how many tunnels meet at the same place! Students join Anthea the Ant as she explores the math within her own anthill. No background knowledge is required.

Lessons in this unit can be taken out of order.

Part of

Standards alignment

Common Core State Standards

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

Alabama

  • MA19.2.3 — Use concrete objects to determine whether a group of up to 20 objects is even or odd.

Alaska

  • 1. — Make sense of problems and persevere in solving them.
  • 7. — Look for and make use of structure.
  • 2.OA.3 — Determine whether a group of objects (up to 20) is odd or even (e.g., by pairing objects and comparing, counting by 2s). Model an even number as two equal groups of objects and then write an equation as a sum of two equal addends.
  • 8. — Look for and express regularity in repeated reasoning.

Arkansas

  • 2.CAR.8 — Determine whether a group of objects up to 20 has an odd or even number of members; write an equation to express an even number as a sum of two equal addends.

California

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

Colorado

  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Connecticut

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

Delaware

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

Florida

  • MA.K12.MTR.1.1 — Actively participate in effortful learning both individually and collectively. Mathematicians who participate in effortful learning both individually and with others: • Analyze the problem in a way that makes sense given the task. • Ask questions that will help with solving the task. • Build perseverance by modifying methods as needed while solving a challenging task. • Stay engaged and maintain a positive mindset when working to solve tasks. • Help and support each other when attempting a new method or approach.
  • MA.K12.MTR.5.1 — Use patterns and structure to help understand and connect mathematical concepts. Mathematicians who use patterns and structure to help understand and connect mathematical concepts: • Focus on relevant details within a problem. • Create plans and procedures to logically order events, steps or ideas to solve problems. • Decompose a complex problem into manageable parts. • Relate previously learned concepts to new concepts. • Look for similarities among problems. • Connect solutions of problems to more complicated large-scale situations.
  • MA.2.AR.3.1 — Represent an even number using two equal groups or two equal addends. Represent an odd number using two equal groups with one left over or two equal addends plus 1.
  • SC.K2.CS-CS.2.2 (Discontinued after 2024-2025) — Solve age-appropriate problems (e.g., puzzles and logical thinking programs) with or without technology (i.e., computational thinking).

Georgia

  • 2.MP.1 — Make sense of problems and persevere in solving them.
  • 2.MP.7 — Look for and make use of structure.
  • 2.NR.3.1 — Determine whether a group (up to 20) has an odd or even number of objects. Write an equation to express an even number as a sum of two equal addends.
  • 3.MP.1 — Make sense of problems and persevere in solving them.

Idaho

  • 2.MP.1 — Make sense of problems and persevere in solving them.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members and write an equation to express an even number as a sum of two equal addends.
  • 3.MP.1 — Make sense of problems and persevere in solving them.
  • 3.MP.7 — Look for and make use of structure.
  • 3.MP.3 — Construct viable arguments and critique the reasoning of others.

Illinois

  • MP.1 — Make sense of problems and persevere in solving them.
  • MP.7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Indiana

  • PS.1 — Make sense of problems and persevere in solving them.
  • 2.NS.3 — Determine whether a group of objects (up to 20) has an odd or even number of members (e.g., by placing that number of objects in two groups of the same size and recognizing that for even numbers no object will be left over and for odd numbers one object will be left over, or by pairing objects or counting them by twos).
  • PS.1 — Make sense of problems and persevere in solving them.
  • PS.8 — Look for and express regularity in repeated reasoning.

Iowa

  • SMP1 — Make sense of problems and persevere in solving them.
  • SMP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members; write an equation to express an even number as a sum of two equal addends. For example, by pairing objects or counting them by 2s.
  • SMP8 — Look for and express regularity in repeated reasoning.

Kansas

  • MP.1 — Make sense of problems and persevere in solving them.
  • MP.7 — Look for and make use of structure.
  • 2.OA.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, (e.g. by pairing objects or counting them by 2s); write an equation to express an even number as a sum of two equal addends.
  • MP.8 — Look for and express regularity in repeated reasoning.

Kentucky

  • MP1 — Make sense of problems and persevere in solving them.
  • KY.2.OA.3 — Determine whether a group of objects (up to 20) has an odd or even number of members; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

Louisiana

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Maine

  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • Use counting and numbers to identify and describe patterns in the natural and designed world(s).
  • K.CC.B.5 — Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects.
  • K.G.A.2 — Correctly name shapes regardless of their orientations or overall size.

Maryland

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

Massachusetts

  • MP.1 — Make sense of problems and persevere in solving them.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP.8 — Look for and express regularity in repeated reasoning.

Minnesota

  • 2.2.1.1.1 — Given a goal and several alternative choices to reach that goal, select the best choice and explain why.

Mississippi

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

Missouri

  • Use counting and numbers to identify and describe patterns in the natural and designed world(s).
  • Construct an explanation of observed relationships (e.g., the distribution of plants in the back yard).
  • K.GM.C.6 — Identify shapes and describe objects in the environment using names of shapes, recognizing the name stays the same regardless of orientation or size.

Montana

  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Nebraska

  • 2.N.5.d — Identify a group of objects from 0 to 20 as even or odd by counting by 2s or by showing even numbers as a sum of two equal parts.
  • Use counting and numbers to identify and describe patterns in the natural and designed world(s).

Nevada

  • MP1 — Make sense of problems and persevere in solving them.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP7 — Look for and make use of structure.

New Hampshire

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

New Jersey

  • 1 — Make sense of problems and persevere in solving them.
  • 7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • 8 — Look for and express regularity in repeated reasoning.

New Mexico

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

New York

  • MP.1 — Make sense of problems and persevere in solving them.
  • MP.7 — Look for and make use of structure.
  • MP.8 — Look for and express regularity in repeated reasoning.

North Carolina

  • MP.1 — Make sense of problems and persevere in solving them.
  • MP.8 — Look for and express regularity in repeated reasoning.
  • NC.2.OA.3 — Determine whether a group of objects, within 20, has an odd or even number of members by: • Pairing objects, then counting them by 2s. • Determining whether objects can be placed into two equal groups. • Writing an equation to express an even number as a sum of two equal addends.
  • MP.2 — Reason abstractly and quantitatively.

North Dakota

  • 2.AR.OA.6 — Identify a group of objects from 0 to 20 as even or odd by showing even numbers as a sum of two equal parts.
  • 3-5.MA.P — Learners can develop and carry out a logical plan to problem-solve situations, reflect on the reasonableness of solutions, and explore alternate strategies with guidance..
  • K-2.MA.P — Learners can identify and use strategies to problem-solve situations and determine an appropriate solution.

Ohio

  • MP.1 — Make sense of problems and persevere in solving them.
  • MP.7 — Look for and make use of structure.
  • 2.OA.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP.8 — Look for and express regularity in repeated reasoning.

Oklahoma

  • MAP4 — Develop Mathematical Reasoning
  • MAP6 — Develop the Ability to Make Conjectures, Model and Generalize
  • MAP5 — Develop a Productive Mathematical Disposition
  • MAP1 — Develop a Deep and Flexible Conceptual Understanding

Oregon

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group up to 20 objects has an odd or even number by pairing objects or counting them by 2s; record using drawings and equations including expressing an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning

Pennsylvania

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Look for and express regularity in repeated reasoning.
  • CC.2.2.2.A.3 — Work with equal groups of objects to gain foundations for multiplication.

Rhode Island

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

South Carolina

  • 2.ATO.3 — Determine whether a number through 20 is odd or even using pairings of objects, counting by twos, or finding two equal addends to represent the number (e.g., 3 + 3 = 6).
  • 2.PS.1 — Make sense of problems and persevere in solving them.
  • 2.PS.1b — Recognize there may be multiple entry points to a problem and more than one path to a solution.
  • 2.PS.3c — Make conjectures and explore their validity.
  • 2.PS.7b — Recognize mathematical repetition in order to make generalizations.

South Dakota

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

Tennessee

  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members by pairing objects or counting them by 2s. Write an equation to express an even number as a sum of two equal addends.
  • K.G.A.2 — Correctly name shapes and solids (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres) regardless of their orientations or overall size.

Texas

  • 2.1F — analyze mathematical relationships to connect and communicate mathematical ideas; and
  • 2.7A — determine whether a number up to 40 is even or odd using pairings of objects to represent the number;
  • 3.1F — analyze mathematical relationships to connect and communicate mathematical ideas; and

Utah

  • 2.MP.1 — Make sense of problems and persevere in solving them.
  • 2.MP.7 — Look for and make use of structure.
  • 2.OA.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, (for example, by pairing objects or counting them by twos). Write an equation to express an even number as a sum of two equal addends.
  • 2.MP.8 — Look for and express regularity in repeated reasoning.

Vermont

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Virginia

  • 2.NS.1j — Determine whether a number (up to 50) is even or odd using concrete objects and justify reasoning (e.g., dividing collections of objects into two equal groups, pairing objects).
  • 2.NS.1i — Represent odd numbers (up to 50) with concrete objects, using two equal groups with one leftover or two equal addends plus 1.
  • K.MG.2a — Identify and name concrete and pictorial representations of circles, triangles, squares, and rectangles regardless of their orientation in space.

Washington

  • MP1 — Make sense of problems and persevere in solving them.
  • MP7 — Look for and make use of structure.
  • 2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MP8 — Look for and express regularity in repeated reasoning.

West Virginia

  • MHM1 — Make sense of problems and persevere in solving them.
  • MHM7 — Look for and make use of structure.
  • M.2.4 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
  • MHM8 — Look for and express regularity in repeated reasoning.

Wisconsin

  • M.2.OA.C.3 — Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by twos; write an equation to express an even number as a sum of two equal addends.

Wyoming

  • MP1 — Make sense of problems and persevere in solving them.
  • 2.OA.C.3 — Determine whether a group (up to 20) has an odd or even number of objects (i.e. by pairing objects or counting them by 2s).
  • MP8 — Look for and express regularity in repeated reasoning.