Lesson Notes By Weeks and Term v5 - Grade 4

Whole numbers: place value and operations (Grade 4) – Week 1 focus

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Subject: Mathematics

Class: Grade 4

Term: 1st Term

Week: 1

Theme: General lesson support

Lesson Video

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Performance objectives

Lesson summary

This week, we are starting our Grade 4 Mathematics journey by exploring whole numbers and how they work. Understanding place value is like having a secret code that unlocks the power of numbers. It’s not just about knowing your numbers; it's about understanding what each digit represents. This is important in our daily lives because we use numbers all the time – from counting sweets, to measuring ingredients when baking vetkoek with gogo, to understanding prices in the shops. We use numbers for budgeting family groceries, building structures, and even understanding scores in soccer or rugby! Without a solid understanding of place value, many calculations become difficult.

Lesson notes

This week, we are starting our Grade 4 Mathematics journey by exploring whole numbers and how they work. Understanding place value is like having a secret code that unlocks the power of numbers. It’s not just about knowing your numbers; it's about understanding what each digit represents. This is important in our daily lives because we use numbers all the time – from counting sweets, to measuring ingredients when baking vetkoek with gogo, to understanding prices in the shops. We use numbers for budgeting family groceries, building structures, and even understanding scores in soccer or rugby! Without a solid understanding of place value, many calculations become difficult. Mastering whole number operations (addition and subtraction this week) builds a strong foundation for multiplication, division, and even fractions later on. By the end of this week, you will be able to: LO1: Read, write, and represent whole numbers up to 10 000 in expanded notation. (CAPS: Number concept)

LO2: Identify the place value of each digit in a whole number up to 10 000. (CAPS: Place value)

LO3: Compare and order whole numbers up to 10 000 using symbols > (greater than), (greater than), ):** The number on the left is larger than the number on the right.

Example: 5678 > 5670 *Less than (

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6. Example 2: Order the following numbers from smallest to largest: 2345, 2309, 2350,

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0. All numbers have 23 in the thousands and hundreds places.

Comparing the tens place: 0

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9. Both numbers have the same digits in the thousands and hundreds place, but in the tens place, 9 is greater than

2. Question 3: Add the numbers 3452 and 2179 using the column method.

Solution: ``` 3452 + 2179 ------- 5631 ``` Therefore, 3452 + 2179 =

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1. We add each column, carrying over when necessary. 2 + 9 = 11, so we write down 1 and carry-over 1. 5 + 7 + 1 = 13, so we write down 3 and carry-over 1. 4 + 1 + 1 = 6. 3 + 2 =

5. Question 4: Subtract 1876 from 4235 using the column method.

Solution: ``` 3 11 13 4 2 3 5 1 8 7 6 ------- 2 3 5 9 ``` Therefore, 4235 - 1876 =

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9. We subtract each column, borrowing when necessary. We cannot subtract 6 from 5, so we borrow 1 ten from the tens column. The 3 becomes 2, and the 5 becomes 15. 15-6 =

9. We cannot subtract 7 from 2, so we borrow 1 hundred from the hundreds column. The 2 becomes 1, and the 2 becomes 12. 12 - 7 =

5. We cannot subtract 8 from 1, so we borrow 1 thousand from the thousands column. The 4 becomes 3, and the 1 becomes 11. 11 - 8 = 3. 3 - 1 =

2. Independent Practice (Questions Only) Write the number 8073 in expanded notation. What is the place value of the digit 6 in the number 9614? Compare the numbers 6543 and 6534 using the appropriate symbol. Order the following numbers from smallest to largest: 4567, 4657, 4576,

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5. Add 4789 and 2345 using the column method. Add 6999 and 1 using the column method. What do you notice? Subtract 2345 from 7890 using the column method. Subtract 1789 from 3000 using the column method. Sarah has saved R2567 and her brother, Thabo, has saved R

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9. How much money do they have in total? A farmer harvested 4321 apples. He sold 2876 apples. How many apples does he have left? Real-life Applications / Integration Budgeting: Imagine your family needs to buy groceries. You have R

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0. You need to calculate the cost of bread (R15), milk (R25), mielie meal (R50), and vegetables (R100). Can you add these amounts together to see if you have enough money? This uses addition and place value understanding to manage money effectively.

Building and Construction: A builder needs to order bricks for a new classroom. They need 2500 bricks for the walls and 1200 bricks for the floor. How many bricks do they need in total? This requires addition skills and an understanding of larger numbers to manage construction projects.

Sports Scores: Imagine South Africa is playing rugby against New Zealand. South Africa scores 27 points and New Zealand scores 21 points. What is the difference in their scores? This uses subtraction to understand the winning margin in a sport that's very popular in South Africa. Differentiation, Remediation and Extension Remediation (For Struggling Learners): Use Concrete Materials: Use base-ten blocks or counters to represent numbers and perform addition and subtraction physically. This helps visualize the place value and the carrying/borrowing process.

Simplified Worksheets: Provide worksheets with smaller numbers (e.g., up to 1000 instead of 10 000) and fewer steps in the calculations.

One-on-One Support: Provide individual or small group support to address specific areas of difficulty. Break down the concepts into even smaller steps.

Focus on Place Value First: Before tackling addition and subtraction, ensure students have a solid understanding of place value. Play games where they identify the place value of digits in different numbers.