Mathematics - Week 4

Shapes and Basic Measurement

Week 4 Overview

Weekly Learning Goal: Students will identify four basic 2D shapes and compare lengths of objects using non-standard units like paper clips or blocks.

This week introduces geometry and measurement. Students will learn to recognize and describe circles, squares, triangles, and rectangles by their attributes. They'll also discover how to measure length by using everyday objects as units. By Friday, students will identify shapes in their environment and measure objects using non-standard units confidently.

Monday: Circles & Squares

Time: 15-20 minutes

Learning Objective

Student will be able to: Identify and describe circles and squares by their attributes (circle: round, no corners; square: 4 equal sides, 4 corners).

Materials Needed

  • Circular objects (plate, coin, lid, ball)
  • Square objects (sticky note, cracker, coaster, block)
  • Paper and crayons

Materials Substitutions

  • Circular objects → any round items: lids, cups (from top), CDs, oranges
  • Square objects → square crackers, napkins folded into squares, square blocks, post-it notes

Procedure

Introduction (2-3 minutes)

Hold up a plate and a square sticky note. Say: "Today we're going to learn about shapes! Shapes are all around us. This plate is a special shape called a circle. This sticky note is called a square."

Say: "Let's discover what makes these shapes special."

Main Activity (8-10 minutes)

Exploring Circles:

Hold up a circular object. Say: "This is a circle. Let's see what makes it a circle." Trace your finger around the edge: "A circle is perfectly round. It goes around and around with no corners or straight lines."

Let your student trace around the circle with their finger. Show several circular objects: coin, lid, ball. Say: "These are all circles because they're round with no corners."

Have your student draw a circle in the air with their finger. Then draw circles on paper.

Exploring Squares:

Hold up a square object. Say: "This is a square. A square has 4 sides." Point to each side and count: "1, 2, 3, 4 sides. All 4 sides are the same length—they're equal."

Point to the corners: "A square also has 4 corners. Count with me: 1, 2, 3, 4 corners." Let your student touch each corner as you count.

Show several square objects. Each time, count the 4 equal sides and 4 corners together.

Have your student draw squares on paper. Help them make 4 equal sides and 4 corners.

Practice (5-7 minutes)

Play "Circle or Square?" Show various objects one at a time and ask: "Is this a circle or a square?"

  • Show a lid → "Circle!"
  • Show a cracker (square) → "Square!"
  • Show a coin → "Circle!"
  • Show a post-it note → "Square!"

Say: "Now let's look around the room. Can you find something that's a circle?" Let them search and point out circular objects.

"Can you find something that's a square?" Let them find square objects.

Closure (2-3 minutes)

Ask: "How can you tell if something is a circle?" (It's round, no corners.) "How can you tell if something is a square?" (4 equal sides, 4 corners.)

Preview: "Tomorrow we'll learn about two more shapes—triangles and rectangles!"

Check for Understanding

  • Can the student identify circles when shown various circular objects? - Expected: Recognizes circles correctly
  • Can the student identify squares and explain they have 4 equal sides and 4 corners? - Expected: Identifies squares and describes attributes
  • Show a mix of circles and squares - can student sort them correctly? - Expected: Sorts accurately into two groups

Supplemental Resources (Optional)

These are optional enhancements, not required for the 15-20 minute core lesson.

YouTube Videos

Library Books

  • The Shape of Things by Dayle Ann Dodds - Shows shapes in everyday objects
  • Shapes, Shapes, Shapes by Tana Hoban - Photography book featuring shapes in real life

Tuesday: Triangles & Rectangles

Time: 15-20 minutes

Learning Objective

Student will be able to: Identify and describe triangles and rectangles by their attributes (triangle: 3 sides, 3 corners; rectangle: 4 sides with 2 long and 2 short, 4 corners).

Materials Needed

  • Paper to cut into shape examples
  • Rectangular objects (book, phone, dollar bill, door)
  • Crayons and paper for drawing
  • Scissors (adult use)

Materials Substitutions

  • Cut paper shapes → draw shapes on paper instead of cutting, or use household items shaped like triangles/rectangles
  • Rectangular objects → index cards, envelopes, crackers (rectangular), napkins

Procedure

Introduction (2-3 minutes)

Review yesterday: "We learned about circles and squares. Today we'll meet two more shapes—triangles and rectangles!"

Main Activity (8-10 minutes)

Exploring Triangles:

Show or draw a triangle. Say: "This is a triangle. A triangle has 3 sides." Trace each side and count: "1, 2, 3 sides."

Point to corners: "A triangle has 3 corners too. Count: 1, 2, 3 corners."

Say: "Remember, TRI means three. A TRIangle has THREE sides and THREE corners."

Show triangles of different sizes and orientations (pointing up, pointing down, sideways). Each time, count the 3 sides and 3 corners together.

Have your student draw triangles on paper.

Exploring Rectangles:

Hold up a book or rectangular object. Say: "This is a rectangle. A rectangle has 4 sides like a square, but look—2 sides are long and 2 sides are short."

Point to each side: "Long side, short side, long side, short side. The sides across from each other are the same length."

Count corners: "Rectangles have 4 corners, just like squares. 1, 2, 3, 4."

Show several rectangular objects: phone, door, dollar bill. Each time, identify the long sides and short sides.

Have your student draw rectangles on paper (help them make 2 long sides and 2 short sides).

Practice (5-7 minutes)

Play "What Shape Am I?"

Give clues: "I have 3 sides and 3 corners. What am I?" (Triangle!)

"I have 4 sides—2 long and 2 short. What am I?" (Rectangle!)

"I'm perfectly round with no corners. What am I?" (Circle!)

"I have 4 equal sides and 4 corners. What am I?" (Square!)

Look around the room together: "Can you find a triangle?" "Can you find a rectangle?"

Closure (2-3 minutes)

Ask: "How many sides does a triangle have?" (3) "How is a rectangle different from a square?" (Rectangle has long and short sides; square has all equal sides.)

Preview: "Tomorrow we're going on a shape hunt—we'll find shapes everywhere!"

Check for Understanding

  • Can the student identify triangles and explain they have 3 sides and 3 corners? - Expected: Identifies triangles correctly and describes attributes
  • Can the student identify rectangles and explain the difference between rectangles and squares? - Expected: Identifies rectangles and notes 2 long/2 short sides
  • Show all 4 shapes - can student name each one? - Expected: Names circle, square, triangle, rectangle correctly

Supplemental Resources (Optional)

These are optional enhancements, not required for the 15-20 minute core lesson.

YouTube Videos

Midjourney Image Prompts

Four basic shapes labeled: circle, square, triangle, rectangle, bright colors, educational illustration for children, simple and clear, white background --ar 16:9 --v 6

Print as a reference poster for shape recognition.

Wednesday: Shape Hunt

Time: 15-20 minutes

Learning Objective

Student will be able to: Find and identify circles, squares, triangles, and rectangles in their environment.

Materials Needed

  • Paper and pencil or crayons
  • Optional: camera or phone to take pictures of shapes found

Materials Substitutions

  • Camera → just point to shapes and list them, or draw the objects that have each shape

Procedure

Introduction (2-3 minutes)

Say: "Now that we know our four shapes, let's go on a shape hunt! Shapes are hiding everywhere—in furniture, food, toys, and more. Let's see how many we can find!"

Main Activity (8-10 minutes)

Go room by room on a shape hunt:

Living Room/Bedroom:

  • Circles: Clock face, lamp shade (from bottom), doorknob, wheels on toys
  • Squares: Coasters, tiles, window panes (if square)
  • Rectangles: Books, doors, windows, TV screen, phone
  • Triangles: Roof shape (point), sandwich cut diagonally, yield sign (if visible)

Kitchen:

  • Circles: Plates, bowls (from top), clock, burners on stove
  • Squares: Crackers, napkins, tiles, sticky notes
  • Rectangles: Table, fridge, cabinet doors, cereal box
  • Triangles: Pizza slice, sandwich cut diagonally

As you find each shape, have your student: 1) Name the shape, 2) Explain how they know (count sides/corners), 3) Point it out.

Practice (5-7 minutes)

Create a "Shape Collection" sheet. Divide paper into 4 sections labeled: Circle, Square, Triangle, Rectangle.

Have your student draw or write the names of objects they found for each shape:

  • Circle: plate, clock, ball
  • Square: cracker, window, sticky note
  • Triangle: sandwich, roof
  • Rectangle: door, book, phone

Closure (2-3 minutes)

Ask: "Which shape did you find the most of?" "Which shape was hardest to find?" "Can you think of a shape we didn't find today?"

Preview: "Tomorrow we'll learn to measure things using objects like blocks and paper clips!"

Check for Understanding

  • Can the student identify at least 3 examples of each shape in their environment? - Expected: Successfully finds multiple examples of all 4 shapes
  • When finding a shape, can the student explain why it's that shape? - Expected: References sides, corners, or other attributes
  • Can the student distinguish between similar shapes (e.g., square vs. rectangle)? - Expected: Correctly differentiates

Supplemental Resources (Optional)

These are optional enhancements, not required for the 15-20 minute core lesson.

Library Books

  • Round Is a Mooncake by Roseanne Thong - Shows circles and other shapes in cultural contexts

Thursday: Measuring Length

Time: 15-20 minutes

Learning Objective

Student will be able to: Measure the length of objects using non-standard units (paper clips, blocks, etc.) and compare lengths.

Materials Needed

  • Paper clips (at least 20)
  • Blocks or other identical small objects
  • Objects to measure: pencil, book, shoe, spoon
  • Paper and pencil

Materials Substitutions

  • Paper clips → pennies, beans, Legos, crackers (square), buttons—any identical small objects

Procedure

Introduction (2-3 minutes)

Hold up two objects of different lengths (e.g., a long pencil and a short crayon). Ask: "Which one is longer?" Let them point.

Say: "Today we're going to learn to measure—to find out exactly HOW MUCH longer one thing is than another!"

Main Activity (8-10 minutes)

Introducing Measuring with Units:

Place a pencil on the table. Say: "Let's find out how long this pencil is using paper clips." Line up paper clips end-to-end along the pencil's length.

Count together: "1, 2, 3, 4, 5 paper clips. This pencil is 5 paper clips long!"

Important points to teach:

  • No gaps between paper clips
  • No overlapping
  • Line them up straight
  • Start at one end and go to the other end

Measure a book together using paper clips. Count and record: "The book is ___ paper clips long."

Now measure the same book using blocks. Count: "The book is ___ blocks long."

Say: "Notice we got a different number! That's because blocks and paper clips are different sizes. The unit we use matters!"

Practice (5-7 minutes)

Give your student paper clips and objects to measure:

  • "Measure this spoon with paper clips." (Student lines up and counts)
  • "Measure your shoe with paper clips." (Student measures)
  • "Measure this crayon with paper clips." (Student measures)

Record each measurement: "The spoon is 6 paper clips long."

Compare: "Which is longer—the spoon or the crayon? How do you know?" (The spoon is 6 paper clips, the crayon is 3 paper clips, so the spoon is longer.)

Closure (2-3 minutes)

Ask: "What does it mean to measure?" (To find out how long something is.) "Why do we need to line up our units with no gaps?" (So we measure accurately.)

Preview: "Tomorrow we'll practice all our shape and measuring skills!"

Check for Understanding

  • Can the student measure an object using non-standard units correctly (no gaps, no overlaps)? - Expected: Lines up units properly and counts accurately
  • Ask student to measure two objects and tell which is longer - Expected: Measures both, compares numbers, identifies the longer object
  • Ask: "If we measured with pennies instead of paper clips, would we get the same number?" - Expected: "No" or understands different units give different numbers

Supplemental Resources (Optional)

These are optional enhancements, not required for the 15-20 minute core lesson.

YouTube Videos

Library Books

  • How Big Is a Foot? by Rolf Myller - Fun story about measuring with feet (non-standard units)
  • Inch by Inch by Leo Lionni - Story about an inchworm who measures things

Friday: Shapes & Measurement Review

Time: 15-20 minutes

Learning Objective

Student will be able to: Demonstrate mastery of identifying shapes and measuring lengths using non-standard units.

Materials Needed

  • Various objects with different shapes
  • Paper clips or other measuring units
  • Paper and crayons

Materials Substitutions

  • Measuring units → any identical small objects

Procedure

Introduction (2-3 minutes)

Say: "This week you learned about shapes and measuring! Today let's show off all your new geometry skills!"

Quick review: "Name the 4 shapes we learned." (Circle, square, triangle, rectangle.)

Main Activity (8-10 minutes)

Shape & Measurement Challenge:

Station 1 - Shape Sorting: Mix up various shape objects. Student sorts into 4 groups: circles, squares, triangles, rectangles.

Station 2 - Shape Detective: "Find 3 rectangles in this room." "Find 2 circles." etc.

Station 3 - Measurement Challenge:

  • "Measure your hand with paper clips."
  • "Measure this book."
  • "Which is longer—your hand or the book?"

Station 4 - Create Your Own: "Draw a picture using only shapes! Use circles for wheels, rectangles for buildings, triangles for roofs."

Practice (5-7 minutes)

Shape Art Project: Create a shape picture or shape robot:

  • Draw a rectangle for the body
  • Draw a square for the head
  • Draw circles for eyes
  • Draw triangles for a hat or feet

Have student label each shape on their picture.

Closure (2-3 minutes)

Celebrate: "You learned so much this week! You can identify circles, squares, triangles, and rectangles. You can find shapes in your environment. You can even measure things using objects like paper clips! You're becoming a real mathematician!"

Ask: "What was your favorite thing you learned this month in math?"

Preview: "Next month, we'll learn even more amazing math—including counting to 20, making groups of 10, and more addition and subtraction!"

Check for Understanding

  • Can the student identify all 4 shapes correctly when shown? - Expected: Names all shapes accurately
  • Can the student measure objects using non-standard units accurately? - Expected: Demonstrates proper measuring technique
  • Overall Week 4 Assessment: Does student understand basic shapes and measurement? - Expected: Yes, demonstrates mastery

Week 4 Complete! Month 1 Mathematics Complete!

Congratulations! Your student has completed the first month of Grade 1 Mathematics! They've learned to count to 10, understand addition and subtraction within 10, identify four basic shapes, and measure lengths using non-standard units. These foundational skills set the stage for all future math learning. Celebrate this milestone—your student is now a confident young mathematician!

This Month's Achievements:

  • ✓ Week 1: Counting to 10 with one-to-one correspondence
  • ✓ Week 2: Addition within 10 (combining groups)
  • ✓ Week 3: Subtraction within 10 (taking away)
  • ✓ Week 4: Shapes and basic measurement