Elementary Level: Counting to 50
Mid Level: Division Basics (Up to 2-Digit Numbers)
Hgh Level: Rational Numbers and Their Operations

Elementary Level (Kinder to Grade 2)

Subject: Counting to 50

Alignment with Standards:

1. CCSS.MATH.CONTENT.1.NBT.A.1 – Count to 120, starting at any number less than 120. Read and write numerals and represent objects with a written number.
2. CCSS.MATH.CONTENT.K.CC.A.1 – Count to 100 by ones and by tens.
3. CCSS.MATH.CONTENT.1.NBT.B.2 – Understand that two-digit numbers represent tens and ones.

Objectives

By the end of this lesson, your child will be able to:
✅ Count aloud from 1 to 50 accurately.
✅ Recognize and identify numbers 1 to 50.
✅ Understand patterns in numbers (e.g., counting by ones and tens).
✅ Complete a number chart fill-in activity to assess learning.

Materials Needed

📌 Number Chart (1–50)
📌 Flashcards with numbers (1–50)
📌 Small counting objects (e.g., beads, buttons, blocks)
📌 Printable worksheets for number recognition
📌 Whiteboard and markers

Lesson Activities

1️⃣ Warm-Up (5–10 minutes) – Number Recognition

🎯 Activity: “Find the Number!”

• Show number flashcards randomly (1–50).
• Ask the child to say the number aloud.
• Play a scavenger hunt by hiding number cards around the room and having them find and call out the numbers.

2️⃣ Teaching & Guided Practice (20–25 minutes)

🟦 Activity 1: Counting by Ones

🔢 How Many?

• Use objects (beads, buttons, blocks) to count from 1 to 50.
• Have the child place each object next to the correct number on a chart.
• Encourage them to count aloud while pointing at each number.

🛤️ Activity 2: Counting by Tens

🎲 Tens Jumping Game

• Show a number line and have the child jump or clap every time they count by 10s (10, 20, 30, 40, 50).
• Use a song or chant to make it fun!

✏️ Activity 3: Using a Number Chart

💡 Filling in Missing Numbers

• Give the child a partially completed number chart (1–50).
• Ask them to fill in the missing numbers to reinforce number order.

3️⃣ Assessment (10–15 minutes)

📄 Number Chart Fill-in Activity

• Provide a worksheet with missing numbers and ask the child to fill in the blanks.
• Example: 10, __, 12, 13, __, 15…
• Observe if they count correctly without skipping numbers.

🎯 Bonus Challenge:

• Ask: “What comes before 23? After 35?“
• Introduce a simple word problem: “Lily has 35 stickers. If she gets 5 more, how many does she have?”

4️⃣ Wrap-Up & Fun Game (5 minutes)

🎮 “Number Hopscotch”

• Draw numbers 1–50 on the floor (or use paper tiles).
• The child hops from one number to the next, saying each number aloud.

🎉 Celebrate Progress & Give High-Fives!

Next Steps

✅ If the child masters counting to 50 → Move on to counting to 100 and simple addition.
✅ If they struggle → Spend more time on flashcards, number songs, and hands-on activities.

Mid Level (Grade 3 to 5)

Subject: Division Basics (Up to 2-Digit Numbers)

Alignment with Standards:

1. CCSS.MATH.CONTENT.4.NBT.B.6 – Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors.
2. CCSS.MATH.CONTENT.4.OA.A.3 – Solve multistep word problems using whole numbers and assess the reasonableness of answers.

Objectives

By the end of this lesson, your child will be able to:
✅ Understand division as equal sharing or grouping.
✅ Use standard long division algorithms to divide numbers up to two digits.
✅ Interpret remainders in division problems.
✅ Solve real-world problems involving division.

Materials Needed

📌 Whiteboard and markers
📌 Flashcards with division facts
📌 Small objects (e.g., buttons, beads, or LEGO bricks for sharing activities)
📌 Graph paper for organizing long division problems
📌 Printable worksheets for division practice

Lesson Activities

1️⃣ Warm-Up (5–10 minutes) – Division as Sharing

🎯 Activity: “Divide and Share”

• Give the child a set of objects (e.g., 24 buttons).
• Ask them to divide equally among different groups (e.g., 24 ÷ 4 = 6 per group).
• Ask: “What happens if we can’t divide evenly?” (Introduce remainders).

2️⃣ Teaching & Guided Practice (20–25 minutes)

🔢 Activity 1: Understanding Division Vocabulary

✏️ Explain Key Terms

• Dividend: The number being divided.
• Divisor: The number we divide by.
• Quotient: The result.
• Remainder: What is left over.

Example: 25 ÷ 4 = 6 remainder 1

• 25 = dividend
• 4 = divisor
• 6 = quotient
• 1 = remainder

📝 Activity 2: Long Division with Remainders

🎲 Step-by-Step Practice

• Model a simple long division problem (48 ÷ 5):
  1. Divide: How many times does 5 fit into 48? (9 times)
  2. Multiply: 9 × 5 = 45
  3. Subtract: 48 – 45 = 3
  4. Remainder: 3 left over → 9 remainder 3
• Have the child practice with guided problems, using graph paper to line up numbers.

🎭 Activity 3: Real-Life Division Word Problems

📖 Example:

• “Sarah has 35 candies and wants to share them among 6 friends. How many does each get? Are there leftovers?”
• Discuss how the remainder affects the answer in real-life situations.

3️⃣ Assessment (10–15 minutes)

📄 Division Practice Problems

• Solve basic division problems (e.g., 36 ÷ 6, 52 ÷ 7).
• Solve a real-world word problem requiring division.

🎯 Bonus Challenge:

• Introduce 2-digit by 1-digit division without remainders (e.g., 84 ÷ 7) and then with remainders (95 ÷ 8).

4️⃣ Wrap-Up & Fun Game (5 minutes)

🎮 “Division Bingo”

• Create a Bingo board with division problems.
• Your child solves the problem and marks the answer on their board.
• First to complete a row wins!

🎉 Praise and review any mistakes together.

Next Steps

✅ If the child masters basic division → Move on to dividing larger numbers and decimals.
✅ If they struggle → Spend more time on hands-on activities and visual models.

High Level (Grade 6 to 8)

Subject: Rational Numbers and Their Operations

Alignment with Standards:

1. CCSS.MATH.CONTENT.7.RP.A.1 – Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.
2. CCSS.MATH.CONTENT.7.RP.A.2 – Recognize and represent proportional relationships between quantities.
3. CCSS.MATH.CONTENT.7.RP.A.3 – Use proportional relationships to solve multistep ratio and percent problems.

Objectives

By the end of this lesson, your child will be able to:
✅ Understand and write ratios in different forms (a:b, a/b, “a to b”).
✅ Solve real-world ratio problems, including scaling recipes and mixing colors.
✅ Identify and apply proportional relationships to solve equivalent ratio and unit rate problems.
✅ Use tables, graphs, and equations to represent proportions.

Materials Needed

📌 Measuring cups and spoons (for recipe scaling activity)
📌 Paint or food coloring (for mixing paints activity)
📌 Printable ratio worksheets
📌 Graph paper and markers
📌 Calculator (optional for unit rate calculations)

Lesson Activities

1️⃣ Warm-Up (5–10 minutes) – Introduction to Ratios

🎯 Activity: “Real-World Ratios”

• Ask: “Where do we see ratios in real life?” (e.g., recipes, maps, sports stats).
• Show different ways to write a ratio:
  • Example: If there are 2 red marbles for every 3 blue marbles, we can write it as:
    • 2:3
    • 2/3
    • “2 to 3”

2️⃣ Teaching & Guided Practice (25–30 minutes)

🍕 Activity 1: Recipe Scaling (Multiplying Ratios)

👩‍🍳 Scaling a Recipe

• Show a simple recipe (e.g., making pancakes with 2 cups of flour, 1 cup of milk, and 1 egg).
• Ask: “If we double the recipe, how much of each ingredient do we need?”
• Guide your child through multiplying each ingredient by 2.
• Try scaling down (e.g., “What if we only want half the recipe?”).

🎨 Activity 2: Mixing Paints (Proportions in Action)

🌈 Color Mixing Challenge

• Give a ratio for mixing paint (e.g., 2 parts blue to 1 part yellow makes green).
• Ask: “If we need 3 times as much paint, how many parts of each color do we mix?”
• Have your child calculate and mix the colors to see the proportion in action.

📊 Activity 3: Solving Proportional Word Problems

📝 Word Problem Practice

• Example:
  • “A car travels 180 miles in 3 hours. How far will it travel in 5 hours at the same speed?”
  • Solve using proportions:
    • 180 miles / 3 hours = x miles / 5 hours
    • Cross multiply: 3x = 180 × 5
    • Solve for x = 300 miles

3️⃣ Assessment (10–15 minutes)

📄 Ratio & Proportion Quiz

• Identify equivalent ratios in tables.
• Solve recipe scaling problems.
• Solve proportional word problems.

🎯 Bonus Challenge:

• Create their own real-world ratio problem and solve it!

4️⃣ Wrap-Up & Fun Game (5 minutes)

🎮 “Ratio Match-Up”

• Write ratios on index cards (e.g., 2:3, 4:6, 6:9).
• Mix them up and have the child match equivalent ratios.
• First to match all correct pairs wins!

🎉 Celebrate Progress & Encourage Exploration!

Next Steps

✅ If the child masters ratios → Introduce unit rates and percentages.
✅ If they struggle → Use more visual aids (ratio tables, drawings, hands-on activities).