| Objectives | Students will be able to: (1) read, write, and compare numbers up to billions; (2) round to any place; (3) use scientific notation (intro). |
|---|---|
| Materials | Place value chart to billions, number cards, worksheets. |
| Key vocabulary | billion, million, thousand, round, scientific notation |
| Engage (starter) | (10 min) "What comes after millions? Billions! The population of Earth is about 8 billion." |
| Develop (main) | (35 min) 1. Build numbers on chart. 2. Round to nearest million etc. 3. Write in words. 4. Introduce scientific notation: 3 x 10^6. 5. Worksheet. |
| Plenary (close) | (10 min) Quick quiz: write 5 billion in digits. |
| Assessment | Accurate reading, writing, rounding. |
| Teacher notes | Connect to real-life data. |
| Objectives | Students will be able to: (1) add and subtract numbers with up to 3 decimal places; (2) align decimals; (3) solve multi-step problems. |
|---|---|
| Materials | Place value charts, whiteboards, word problem cards. |
| Key vocabulary | align, decimal, sum, difference, regroup |
| Engage (starter) | (10 min) "Add 45.6 + 123.45. Line up the decimal!" |
| Develop (main) | (35 min) 1. Model addition and subtraction. 2. Practice with missing decimals. 3. Word problems: budgets, distances. 4. Worksheet. |
| Plenary (close) | (10 min) Check answers; common error: not aligning decimals. |
| Assessment | Accuracy; correct alignment. |
| Teacher notes | Foundation for all decimal operations. |
| Objectives | Students will be able to: (1) multiply fluently using standard algorithm; (2) estimate to check; (3) apply to area and scaling. |
|---|---|
| Materials | Whiteboards, calculators (for checking), worksheets. |
| Key vocabulary | product, algorithm, estimate, scaling |
| Engage (starter) | (10 min) "324 x 45 - estimate: 300 x 50 = 15 000. Let's calculate." |
| Develop (main) | (35 min) 1. Model standard algorithm. 2. Guided practice. 3. Partner work with checking. 4. Word problems (area, cost). 5. Speed drill. |
| Plenary (close) | (10 min) Check speed drill scores. |
| Assessment | Fluency and accuracy. |
| Teacher notes | Daily practice for automaticity. |
| Objectives | Students will be able to: (1) divide 4-digit numbers by 2-digit; (2) express remainders as decimals; (3) solve problems. |
|---|---|
| Materials | Long division templates, whiteboards, worksheets. |
| Key vocabulary | dividend, divisor, quotient, remainder, decimal |
| Engage (starter) | (10 min) "6 345 / 15 - first estimate: 6000 / 15 = 400." |
| Develop (main) | (35 min) 1. Model steps. 2. Continue division to decimal. 3. Partner work. 4. Word problems (average, sharing). 5. Independent practice. |
| Plenary (close) | (10 min) Check with multiplication. |
| Assessment | Correct quotient (including decimal). |
| Teacher notes | Patience and practice. |
| Objectives | Students will be able to: (1) consolidate operations; (2) complete a cumulative quiz; (3) play a math relay. |
|---|---|
| Materials | Quiz, relay question cards. |
| Key vocabulary | review |
| Engage (starter) | (10 min) Mental: "456.78 + 123.22? 580." |
| Develop (main) | (35 min) 1. Quiz. 2. Self-mark. 3. Relay race. 4. Discuss common mistakes. 5. Write a "Top Tip" for long division. |
| Plenary (close) | (10 min) Relay winners; share tips. |
| Assessment | Quiz score. |
| Teacher notes | Targeted intervention. |