Mathematics - Week 2

Introduction to Addition Within 10

Week 2 Overview

Weekly Learning Goal: Students will understand addition as combining two groups of objects and create simple addition sentences (e.g., 3 + 2 = 5).

This week introduces addition as "putting together" or "combining" groups. Building on last week's counting skills, students will learn that when we join two groups, we can count them all together to find the total. By Friday, students will write simple addition sentences using the + and = symbols and solve addition problems within 10.

Monday: Combining Groups

Time: 15-20 minutes

Learning Objective

Student will be able to: Combine two groups of objects and count the total using one-to-one correspondence.

Materials Needed

  • Two small containers or bowls
  • 15-20 small objects (blocks, beans, coins, buttons)
  • Paper and pencil

Materials Substitutions

  • Containers → cups, plates, small boxes, or just designate two areas on the table
  • Small objects → any identical small items: crackers, pennies, toy cars, Legos

Procedure

Introduction (2-3 minutes)

Place 3 blocks in one container and 2 blocks in another container. Show your student both groups. Say: "I have 3 blocks here and 2 blocks here. What happens if I put them all together?" Pour both groups into one pile.

Say: "Today we're going to learn about combining groups—putting two groups together to find out how many we have in total. This is called addition!"

Main Activity (8-10 minutes)

Start with simple combinations. Place 2 blocks in one bowl and 3 blocks in another bowl.

Say: "Let's count the first group together: 1, 2. Now let's count the second group: 1, 2, 3. Now watch what happens when we combine them." Pour both groups together.

"Now let's count them ALL together: 1, 2, 3, 4, 5. When we combined 2 and 3, we got 5 total!"

Repeat with different combinations:

  • 4 blocks + 1 block = 5 blocks total
  • 3 blocks + 3 blocks = 6 blocks total
  • 5 blocks + 2 blocks = 7 blocks total

Each time, count each group separately, then combine and count the total together.

Emphasize: "When we put groups together, we're adding. The word 'add' means to combine or join."

Practice (5-7 minutes)

Give your student two containers and a pile of objects. Say: "Put 4 blocks in this bowl and 3 blocks in that bowl." Help them count as they place objects.

Then say: "Now combine them together and count to find the total." Let your student pour them together and count: "1, 2, 3, 4, 5, 6, 7."

Repeat with different numbers:

  • Make a group of 2 and a group of 5, combine and count
  • Make a group of 6 and a group of 1, combine and count
  • Make a group of 3 and a group of 4, combine and count

Closure (2-3 minutes)

Ask: "What does 'adding' mean?" (Combining or putting together groups.) "If I have 3 toys and you give me 2 more, do I have more or less than before?" (More!)

Preview: "Tomorrow we'll learn a special symbol that means 'add'—the plus sign!"

Check for Understanding

  • Can the student combine two groups and count the total accurately? - Expected: Successfully combines groups and counts all objects in correct sequence
  • Give the student 4 objects and 2 objects separately, then ask them to find the total - Expected: Combines both groups and counts to get 6
  • Ask: "What does it mean to 'add'?" - Expected: "Put together" or "combine" or similar explanation

Supplemental Resources (Optional)

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

YouTube Videos

Library Books

  • Quack and Count by Keith Baker - Shows animals combining in different ways, great for addition concepts

Tuesday: The Plus Sign (+)

Time: 15-20 minutes

Learning Objective

Student will be able to: Recognize the plus sign (+) as the symbol for addition and use it to show combining groups.

Materials Needed

  • Small objects for counting (blocks, beans, etc.)
  • Index card with a large + symbol drawn on it
  • Paper and pencil or crayons

Materials Substitutions

  • Index card → any paper with + drawn on it, or draw it on a whiteboard/chalkboard

Procedure

Introduction (2-3 minutes)

Review yesterday: "Yesterday we learned to combine groups. Today we'll learn the special symbol that means 'add' or 'combine.'"

Show the + card. Say: "This is called a plus sign. When we see this symbol, it means ADD or PUT TOGETHER."

Main Activity (8-10 minutes)

Place 2 blocks on the left side of the table. Place the + card in the middle. Place 3 blocks on the right side.

Say: "This shows 2 PLUS 3. The plus sign tells us to put these groups together." Combine the groups and count: "2 plus 3 equals 5."

Practice reading addition problems with the plus sign:

  • Show 4 blocks + card + 1 block. Read together: "4 plus 1"
  • Show 3 blocks + card + 3 blocks. Read together: "3 plus 3"
  • Show 5 blocks + card + 2 blocks. Read together: "5 plus 2"

Each time, combine the groups and count the total.

Now have your student draw the plus sign. Practice making a + on paper several times. Say: "You can make a plus by drawing a line down, then a line across."

Practice (5-7 minutes)

Give your student objects and ask them to show you addition problems:

  • "Show me 2 plus 4" - Student arranges 2 objects, places + card, then 4 objects
  • "Show me 5 plus 1" - Student arranges accordingly
  • "Show me 3 plus 3" - Student arranges accordingly

Each time, have them combine the groups and count the total.

Closure (2-3 minutes)

Ask: "What does this symbol mean?" (Show +). Expected: "Plus" or "add" or "put together."

Say: "Great! Now you know the plus sign. Tomorrow we'll learn another symbol that goes with addition—the equals sign!"

Check for Understanding

  • Can the student identify the + symbol when shown? - Expected: Recognizes it and says "plus" or "add"
  • Ask the student to "show me 3 plus 2 using blocks" - Expected: Arranges 3 blocks, indicates addition, and 2 blocks
  • Can the student draw a + symbol? - Expected: Draws a recognizable plus sign (vertical and horizontal lines crossing)

Supplemental Resources (Optional)

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

YouTube Videos

Midjourney Image Prompts

Large colorful plus sign symbol made of blocks or toys, educational illustration for children, bright and friendly, simple composition on white background --ar 16:9 --v 6

Print and display as a visual reminder of the plus sign symbol.

Wednesday: Writing Addition Sentences

Time: 15-20 minutes

Learning Objective

Student will be able to: Write simple addition sentences using the format: number + number = total (e.g., 3 + 2 = 5).

Materials Needed

  • Small counting objects
  • Index cards with +, =, and numerals 0-10 written on them
  • Paper and pencil
  • Whiteboard or chalkboard (optional)

Materials Substitutions

  • Index cards → write symbols on small papers or directly on a surface
  • Whiteboard → paper, chalkboard, or just write on regular paper

Procedure

Introduction (2-3 minutes)

Review: "We know the plus sign (+) means add or put together. Today we'll learn the equals sign (=) and write complete addition sentences!"

Show the = card. Say: "This is the equals sign. It means 'is the same as' or 'makes.' When we see it, we know the answer is coming."

Main Activity (8-10 minutes)

Demonstrate with objects and cards. Place 3 blocks, then +, then 2 blocks, then =, then count and place 5 objects.

Say: "This shows: 3 plus 2 equals 5. We can write this as: 3 + 2 = 5."

Write it out: "3 + 2 = 5" on paper or board. Point to each part as you read: "Three plus two equals five."

Practice writing several addition sentences together:

  • Show 4 + 1 with objects, count total (5), write: 4 + 1 = 5
  • Show 2 + 3 with objects, count total (5), write: 2 + 3 = 5
  • Show 5 + 2 with objects, count total (7), write: 5 + 2 = 7

Emphasize the pattern: "First number + second number = total."

Practice (5-7 minutes)

Give your student paper and pencil. Call out addition problems for them to solve with objects and then write:

  • "Show me 3 + 4 and write the answer." (Student uses objects to find 7, writes 3 + 4 = 7)
  • "Show me 2 + 2 and write the answer." (Writes 2 + 2 = 4)
  • "Show me 6 + 1 and write the answer." (Writes 6 + 1 = 7)

Provide help with forming numbers if needed. Focus on understanding the concept, not perfect handwriting.

Closure (2-3 minutes)

Ask: "What does the equals sign mean?" (Is the same as, makes, the answer.) Write 4 + 3 = 7 and ask them to read it aloud.

Preview: "Tomorrow we'll use addition to solve story problems—real situations where we need to add!"

Check for Understanding

  • Can the student write a complete addition sentence when given two numbers? - Expected: Writes number + number = total correctly
  • Show "5 + 2 = ?" and ask student to find the answer using objects - Expected: Uses objects to count and finds 7
  • Can the student read an addition sentence aloud (e.g., "3 + 4 = 7")? - Expected: "Three plus four equals seven" or similar

Supplemental Resources (Optional)

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

YouTube Videos

Library Books

  • Mission: Addition by Loreen Leedy - Fun story that teaches addition concepts and symbols

Thursday: Addition Stories

Time: 15-20 minutes

Learning Objective

Student will be able to: Solve simple addition word problems and write the corresponding addition sentence.

Materials Needed

  • Small objects (toys, blocks, or any manipulatives)
  • Paper and pencil

Materials Substitutions

  • Manipulatives → use drawings, fingers, or any available counting items

Procedure

Introduction (2-3 minutes)

Say: "Today we're going to use addition to solve story problems—just like real life! When we hear a story about putting things together, we can use addition to find the answer."

Tell a simple story: "I have 2 apples. My friend gives me 3 more apples. How many apples do I have now?"

Main Activity (8-10 minutes)

Model solving story problems step-by-step:

Story 1: "Sarah has 4 toy cars. Her brother gives her 2 more cars. How many cars does Sarah have now?"

  • Step 1: "Let's act it out." Place 4 objects: "Here are Sarah's 4 cars."
  • Step 2: "Now her brother gives her 2 more." Add 2 objects: "Here are the 2 more cars."
  • Step 3: "Let's count them all together: 1, 2, 3, 4, 5, 6. Sarah has 6 cars."
  • Step 4: "Let's write the addition sentence: 4 + 2 = 6"

Story 2: "There are 3 birds in a tree. Then 5 more birds fly to the tree. How many birds are in the tree now?"

Work through the same 4 steps together. Result: 3 + 5 = 8

Story 3: "Mom baked 5 cookies. Dad baked 3 cookies. How many cookies did they bake in all?"

Work through together. Result: 5 + 3 = 8

Practice (5-7 minutes)

Give your student story problems to solve independently:

  • "You have 2 pencils. I give you 4 more pencils. How many pencils do you have?" (2 + 4 = 6)
  • "There are 6 flowers in a vase. You add 1 more flower. How many flowers are in the vase?" (6 + 1 = 7)
  • "A dog has 3 bones. He finds 3 more bones. How many bones does he have?" (3 + 3 = 6)

For each problem, have your student: 1) Act it out with objects, 2) Count the total, 3) Write the addition sentence.

Closure (2-3 minutes)

Ask: "When do we use addition in real life?" (When we get more of something, when we put groups together, when we want to find a total.)

Preview: "Tomorrow we'll practice everything we've learned about addition this week!"

Check for Understanding

  • Tell a story: "You have 4 stickers. Your friend gives you 3 more. How many stickers do you have?" - Expected: Student uses objects to solve and finds 7
  • Can the student write the addition sentence for a story problem? - Expected: Writes 4 + 3 = 7 (or similar correct format)
  • Ask: "How do you know when to add in a story?" - Expected: "When we put things together" or "when we get more" or similar

Supplemental Resources (Optional)

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

YouTube Videos

Library Books

  • The Action of Addition by Brian P. Cleary - Shows addition in everyday situations

Friday: Addition Practice & Review

Time: 15-20 minutes

Learning Objective

Student will be able to: Demonstrate mastery of addition within 10 by solving problems with objects and writing addition sentences.

Materials Needed

  • Various counting objects from this week
  • Paper and pencil or crayons
  • + and = symbol cards (from earlier this week)

Materials Substitutions

  • Various objects → use any countable items from around the house

Procedure

Introduction (2-3 minutes)

Say: "This week you learned all about addition! Today we're going to show off your addition skills with fun challenges."

Quick review: "What does + mean?" (Add/put together) "What does = mean?" (Equals/makes/the answer)

Main Activity (8-10 minutes)

Addition Challenge Stations:

Station 1 - Fast Facts: Give quick addition problems to solve with objects:

  • 2 + 1 = ?
  • 3 + 3 = ?
  • 5 + 4 = ?
  • 6 + 2 = ?

Station 2 - Write It: Show objects arranged as addition problems (e.g., 4 blocks + 3 blocks), student writes the sentence: 4 + 3 = 7

Station 3 - Story Time: Tell 2-3 story problems for student to solve: "You have 3 crayons. Mom gives you 5 more. How many do you have?"

Station 4 - Make Your Own: Student creates their own addition story problem and solves it!

Celebrate success at each station!

Practice (5-7 minutes)

Addition Art: Give your student paper and crayons. Say: "Draw an addition picture! Draw 2 flowers, then draw 3 more flowers. Write the addition sentence: 2 + 3 = 5."

If time allows, create more addition pictures with different numbers.

Optional: Create an "Addition Book" by stapling several addition drawings together.

Closure (2-3 minutes)

Celebrate: "You learned addition this week! You can combine groups, use the + and = symbols, write addition sentences, and solve story problems. That's amazing math thinking!"

Ask: "What's your favorite thing you learned about addition?" Let them share.

Preview: "Next week, we'll learn about subtraction—the opposite of addition! Instead of putting together, we'll practice taking away."

Check for Understanding

  • Can the student solve addition problems within 10 quickly and accurately (at least 4 out of 5 correct)? - Expected: Demonstrates fluency with simple addition
  • Give the problem "7 + 2" - can student solve and write the complete sentence? - Expected: Writes 7 + 2 = 9
  • Overall Week 2 Assessment: Does the student understand addition as combining and can they write addition sentences? - Expected: Yes, demonstrates understanding

Week 2 Complete!

This week, your student learned that addition means combining or putting groups together. They learned the plus (+) and equals (=) symbols, wrote addition sentences, and solved word problems. They can now add within 10 confidently! Next week, we'll explore subtraction—learning to take away from groups to find what's left.