Elementary Level: Review [Counting & Writing Numbers (1–30), Number Comparisons, and Place Value]
Mid Level: Multiplication Basics (Up to 2-Digit Numbers)
High Level: Rational Numbers and Their Operations

Elementary Level (Kinder to Grade 2)

Subject: Review [Counting & Writing Numbers (1–30), Number Comparisons, and Place Value]

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.1.NBT.B.2 – Understand that two-digit numbers represent amounts of tens and ones.
3. CCSS.MATH.CONTENT.1.NBT.B.3 – Compare two-digit numbers using >, <, and = signs.

Objectives

By the end of this lesson, your child will be able to:
✅ Count and write numbers from 1 to 20 correctly.
✅ Compare numbers using greater than (>), less than (<), and equal to (=).
✅ Understand place value (tens and ones) in numbers up to 20.
✅ Complete a short assessment to demonstrate mastery.

Materials Needed

📌 Whiteboard and markers (or chalkboard)
📌 Number flashcards (1–20)
📌 Base-10 blocks or drawings of tens/ones
📌 Printable worksheets (for writing, comparing, and place value practice)
📌 Small objects (e.g., buttons, beads, or LEGO bricks for counting practice)

Lesson Activities

1️⃣ Warm-Up (5–10 minutes) – Number Counting Game

🎯 Activity: Clap and Count!

• Have your child clap while counting aloud from 1 to 20.
• Start from random numbers (e.g., “Let’s count from 6 to 20!”) to reinforce flexible counting.
• Use a number chart to point and say the numbers together.

2️⃣ Review Activities (15–20 minutes)

🔢 Activity 1: Writing Numbers (1–20)

📝 Practice Writing Numbers

• Provide a worksheet where the child traces and writes numbers 1 to 20.
• Call out numbers and have them write them on a whiteboard without looking at the chart.

🐊 Activity 2: Number Comparisons (Greater, Less, Equal)

🐊 “Gator Mouth” Game (>, <, =)

• Draw a simple alligator mouth (🐊) and explain that it “eats” the bigger number.
• Show two numbers on flashcards and ask, “Which number is greater?”
• Have your child use the >, <, or = sign to compare.

🏗️ Activity 3: Place Value with Tens and Ones

🎲 Build the Number!

• Use Base-10 blocks or drawn tens/ones to show how numbers are built (e.g., 14 = one ten + four ones).
• Give the child a number and let them build it using objects like LEGO, coins, or drawings.
• Have them say, “14 has 1 ten and 4 ones” to reinforce understanding.

3️⃣ Assessment (10–15 minutes)

📄 Short Test:

• Count & Write: Write the numbers 1 to 20.
• Compare: Fill in >, <, or = for given pairs of numbers.
• Place Value: Identify the tens and ones in numbers (e.g., “What are the tens and ones in 18?”).

🎯 Bonus Challenge:

• Ask a word problem, e.g., “Lily has 8 apples, and Tim has 12 apples. Who has more?”

4️⃣ Wrap-Up & Fun Exit Game (5 minutes)

💡 “Guess My Number” Game

• Think of a number between 1 and 20 and give hints, like:
  • “It is greater than 5 but less than 10.”
  • “It has 1 ten and 3 ones.”
• Let the child guess!

🎉 Praise and Celebrate Progress!

Assessment & Next Steps

✅ If the child masters all topics → Move on to numbers 21-50 and simple addition.
✅ If they struggle → Spend more time on games, flashcards, and hands-on activities.

Mid Level (Grade 3 to 5)

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

Alignment with Standards:

1. CCSS.MATH.CONTENT.4.NBT.B.5 – Multiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers, using strategies based on place value and properties of operations.
2. CCSS.MATH.CONTENT.4.OA.A.1 – Interpret a multiplication equation as a comparison.
3. CCSS.MATH.CONTENT.4.OA.A.2 – Solve word problems involving multiplicative comparison.

Objectives

By the end of this lesson, your child will be able to: ✅ Understand and apply multiplication strategies using arrays, skip counting, and place value.
✅ Multiply up to two-digit numbers using the standard algorithm.
✅ Use mental math strategies for quick calculations.
✅ Solve word problems involving multiplication.

Materials Needed

📌 Whiteboard and markers
📌 Multiplication chart (1-12)
📌 Graph paper for organizing calculations
📌 Small objects (e.g., buttons, coins, or LEGO pieces for arrays)
📌 Flashcards with multiplication facts
📌 Printable worksheets for practice

Lesson Activities

1️⃣ Warm-Up (5–10 minutes) – Mental Math Multiplication

🎯 Activity: Quick Fire Multiplication

• Start with simple multiplication facts (e.g., 6 × 7, 9 × 8).
• Use skip counting to reinforce patterns (e.g., “Count by 6s: 6, 12, 18…”).
• Ask: “What patterns do you notice in multiplication?”

2️⃣ Teaching & Guided Practice (20–25 minutes)

🟦 Activity 1: Arrays for Multiplication

🧩 Visualizing Multiplication with Arrays

• Explain that multiplication is repeated addition (e.g., 3 × 4 = 4 + 4 + 4).
• Use small objects or draw dot arrays to show how numbers are grouped.
• Example: 5 × 3 means 5 rows of 3 dots each.

🛤️ Activity 2: Skip Counting Strategy

🎲 Multiplication with Skip Counting

• Write multiplication facts (e.g., 4 × 5) and have the child count by 4s (4, 8, 12, 16, 20).
• Use a number line to visualize jumps.

✏️ Activity 3: Standard Algorithm for 2-Digit Multiplication

💡 Step-by-Step Method

1. Multiply the ones place first.
2. Multiply the tens place next.
3. Add the two products together.

• Example: 23 × 4
  • Step 1: 3 × 4 = 12 (write 2, carry 1)
  • Step 2: 2 × 4 = 8 → Add carry-over (8 + 1 = 9)
  • Answer: 92

📝 Activity 4: Solving Word Problems

📖 Real-Life Math

• Present word problems like:
  • “Liam has 12 boxes of pencils. Each box has 24 pencils. How many pencils in total?”
  • Have the child draw or write the equation before solving.

3️⃣ Assessment (10–15 minutes)

📄 Multiplication Quiz

• Basic facts test: Quick recall of single-digit multiplication.
• 2-digit multiplication test: Solve problems like 34 × 7.
• Word problems: Solve and explain the process.

🎯 Bonus Challenge:

• Introduce multiplying 2-digit by 2-digit for advanced learners (e.g., 26 × 15).

4️⃣ Wrap-Up & Fun Game (5 minutes)

🎮 Multiplication Tic-Tac-Toe

• Create a 3×3 grid with multiplication facts inside.
• The child must solve a problem to claim a square.
• First to complete a row wins!

🎉 Celebrate Progress & Review Mistakes Together

Next Steps

✅ If the child masters all topics → Move to multiplying larger numbers and long division.
✅ If they struggle → Spend more time on arrays and skip counting before progressing.

High Level (Grade 6 to 8)

Subject: Rational Numbers and Their Operations

Alignment with Standards:

1. CCSS.MATH.CONTENT.7.NS.A.1 – Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, including fractions and decimals.
2. CCSS.MATH.CONTENT.7.NS.A.2 – Apply and extend previous understandings of multiplication and division to multiply and divide rational numbers.
3. CCSS.MATH.CONTENT.7.NS.A.3 – Solve real-world and mathematical problems involving the four operations with rational numbers.

Objectives

By the end of this lesson, your child will be able to:
✅ Identify and classify rational numbers (fractions, decimals, and integers).
✅ Perform addition, subtraction, multiplication, and division with fractions and decimals.
✅ Use fraction models to visualize fraction operations.
✅ Apply operations on decimals using long division and multiplication techniques.
✅ Solve real-world problems involving rational numbers.

Materials Needed

📌 Whiteboard and markers
📌 Fraction tiles or cut-out paper models
📌 Graph paper (for decimal operations)
📌 Printable worksheets for practice
📌 Calculator (for checking work)

Lesson Activities

1️⃣ Warm-Up (5–10 minutes) – Understanding Rational Numbers

🎯 Activity: “Is It Rational?”

• Define rational numbers as numbers that can be expressed as a fraction (e.g., ½, -3/4, 7).
• Give a list of numbers (e.g., -5, 0.25, π, 3/4, √9, 2.3333…) and have the child classify them as rational or irrational.
• Explain that irrational numbers (like π) cannot be written as fractions.

2️⃣ Teaching & Guided Practice (25–30 minutes)

🧩 Activity 1: Fraction Models for Addition & Subtraction

📏 Visualizing Fractions

• Use fraction tiles or draw models to demonstrate addition and subtraction of fractions with different denominators.
• Example: 1/2 + 1/3
  • Find a common denominator (6) → Convert to 3/6 + 2/6 = 5/6.
  • Show how modeling fractions makes it easier to understand.

📊 Activity 2: Multiplying and Dividing Fractions

🎲 Step-by-Step Multiplication & Division

• Teach the rule:
  • Multiply fractions → Multiply the numerators, multiply the denominators.
  • Divide fractions → Multiply by the reciprocal (flip the second fraction).
• Example: 3/4 ÷ 2/5
  • Flip 2/5 to 5/2 → Multiply 3/4 × 5/2 = 15/8.

💡 Activity 3: Operations with Decimals

✏️ Decimal Addition & Subtraction

• Align decimal points before adding or subtracting.
• Example: 3.45 + 0.78 = 4.23

🎯 Multiplying Decimals

• Multiply normally, then count decimal places to place the decimal in the answer.
• Example: 2.4 × 0.3
  • Multiply 24 × 3 = 72
  • Adjust decimal → 0.72

📏 Dividing Decimals

• Move the decimal point to make the divisor a whole number.
• Example: 4.2 ÷ 0.7
  • Convert to 42 ÷ 7 = 6.

3️⃣ Assessment (10–15 minutes)

📄 Quiz on Rational Numbers

• Classify numbers as rational or irrational.
• Perform operations on fractions and decimals.
• Solve word problems involving rational numbers.

🎯 Bonus Challenge:

• Ask a real-world question, e.g.,
  • “A recipe calls for ¾ cup of sugar per batch. If you make 1½ batches, how much sugar do you need?”

4️⃣ Wrap-Up & Fun Game (5 minutes)

🎮 “Fraction & Decimal Bingo”

• Create a bingo grid with different fraction and decimal problems.
• Your Child solves problems to mark off spaces.
• First to complete a row wins!

🎉 Praise and encourage progress!

Next Steps

✅ If the child masters all topics → Introduce negative rational numbers and their operations.
✅ If they struggle → Spend more time on fraction models and step-by-step calculations.