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Subject: Mathematics
Semester: 2
Period: 4
Week: 23
School Name:
Teacher’s Name:
Subject: Mathematics
Grade Level: Grade 4
Date: Week 23
Lesson Duration: 45 minutes
Week & Period: Week 23, Period 4
Topic: Decimal numerals up to hundredths place — Comparing and ordering decimals
Sub-topic: Reading, writing, comparing, and ordering decimals
Learning Objectives
By the end of the lesson, students should be able to:
- Read and write decimals up to two decimal places.
- Compare and order decimals using symbols >, <, =.
- Relate decimals to fractions and real-life contexts (money, measurements).
Previous Knowledge
Students already know fractions and place value of whole numbers.
Instructional Materials
Mathematics textbook, number lines, decimal grids, counters.
Lesson Development – ABC Model
A – Anticipation (Warm-up / Starter)
Time: 5–10 minutes
Teacher writes 0.45 and 0.54. Students discuss which is greater and why.
B – Building Knowledge (Main Lesson Body)
Time: 25–30 minutes
Teacher explains:
• Decimal place value is an extension of whole number place value to the right of the decimal point. For example, in 0.67, the 6 is in the tenths place (6 × 0.1 = 0.6) and the 7 is in the hundredths place (7 × 0.01 = 0.07). So, 0.67 = 0.6 + 0.07.
• Comparing decimals involves lining up the decimal points and comparing digits from left to right, starting at the tenths place, then hundredths, thousandths, and so on.
• For example, compare 0.67, 0.7, 0.675, and 0.6:
Step 1: Look at the tenths place for each number:
0.6 (0.67), 0.7 (0.7), 0.6 (0.675), 0.6 (0.6)
Since 0.7 (tenths digit 7) is the largest tenths digit, 0.7 is the greatest number.
Step 2: For numbers with the same tenths digit, compare hundredths place:
Between 0.67 (hundredths 7) and 0.675 (hundredths 7), look next at thousandths place for 0.675 (thousandths 5) which is greater than 0.67 (0 in thousandths), so 0.675 > 0.67.
Step 3: Order the numbers:
0.6 < 0.67 < 0.675 < 0.7
Practical Context:
In money, 0.45 LD (Liberian Dollars) is less than 0.54 LD, so when dealing with prices or amounts, accurate decimal comparison is essential.
Additional Examples:
- Compare 0.68 and 0.608
Tenths place: 6 vs 6 (equal)
Hundredths place: 8 vs 0 → 8 > 0, so 0.68 > 0.608 - Order these decimals: 0.34, 0.345, 0.3, 0.35
Step 1: Tenths place: 3 for all numbers except 0.3 which has 3 tenths and 0 hundredths and 0 thousandths
Step 2: Hundredths place: 4 (0.34), 4 (0.345), 0 (0.3), 5 (0.35)
Step 3: Thousandths place: 5 (0.345)
Final order: 0.3 < 0.34 < 0.345 < 0.35
Learners’ Activities (Expanded):
- Use decimal grids or shaded area models to visualize decimals: for example, shade 67 out of 100 squares for 0.67.
- Students compare and order sets of decimals such as: 0.45, 0.5, 0.495, 0.6 using number lines and decimal grids.
- Peer activity: Match decimal numbers with their equivalent fractions (e.g., 0.5 = 1/2, 0.25 = 1/4, 0.75 = 3/4).
- Use money scenarios where students compare prices written in decimals (e.g., 0.45 LD vs 0.54 LD).
Assessment Checks:
- Which is greater: 0.68 or 0.608? Explain why.
- Order the following decimals from smallest to largest: 0.34, 0.345, 0.3, 0.35.
- If you have 0.6 liters and 0.58 liters of water, which is more?
- Write the decimal 0.75 as a fraction.
- True or False: 0.67 < 0.675
Notes (Expanded & Detailed):
• Decimals extend the place value system beyond whole numbers to represent parts of a whole precisely.
• Understanding tenths and hundredths is essential for comparing decimals correctly.
• Visual aids such as decimal grids and number lines greatly help learners grasp the concept of decimals.
• Decimals are used frequently in real life: in money, measurements (length, weight, volume), and statistical data.
• Correct comparison and ordering are foundational skills for more advanced topics such as addition, subtraction, and rounding of decimals.
C – Consolidation (Conclusion & Assessment)
Time: 5–10 minutes
Summary: Reading, writing, comparing, and ordering decimals is an extension of place value knowledge and applies to real-life situations.
Evaluation Method (Expanded):
Exit slip: Compare 0.67, 0.706, 0.65 and write in ascending order.
Teacher collects slips and provides oral feedback.
Assignment (Expanded):
Compare 0.42, 0.405, 0.4, 0.45.
Order 0.67, 0.607, 0.7, 0.675.
Follow-up Activity:
Use money examples to compare prices in decimal notation.
Differentiation / Inclusive Strategies
Struggling learners get number lines and grids; advanced learners convert decimals to fractions and solve applied word problems.
Teacher’s Reflection (After Class)
What worked well? ___________________________________________
What needs improvement? ____________________________________
Students’ engagement level: ☑ High ☑ Medium ☑ Low