One fact in a fact family is 5+3=8. Complete parts (a) and (b) below. a. What are the other three members of this fact family? Select all that apply. A. 3-5-(5-3) C. 3+8=8+3 E. 8-3-5 G. 5-3=5+(-3) b. Draw four number line models to illustrate each of the number facts in part (a). Identify the number fact that corresponds to the question mark in each graph. Q Q ? 23 8 + 3 3 ? 01234 5 B. 8-5-3 D. 5+3+8=0 F. 3+5=8 H. 8+5=3 27 5 ? + 456 Q ? + 8 2 3 4 5 5
One fact in a fact family is 5+3=8. Complete parts (a) and (b) below. a. What are the other three members of this fact family? Select all that apply. A. 3-5-(5-3) C. 3+8=8+3 E. 8-3-5 G. 5-3=5+(-3) b. Draw four number line models to illustrate each of the number facts in part (a). Identify the number fact that corresponds to the question mark in each graph. Q Q ? 23 8 + 3 3 ? 01234 5 B. 8-5-3 D. 5+3+8=0 F. 3+5=8 H. 8+5=3 27 5 ? + 456 Q ? + 8 2 3 4 5 5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:### Understanding Fact Families: An Educational Guide
In this lesson, we'll explore the concept of fact families using basic arithmetic to understand the relationships among numbers. We'll use a practical example to illustrate the idea.
#### One Example Fact Family
- **Given Fact**: 5 + 3 = 8
Using this given fact, we are asked to explore other true number statements belonging to the same fact family.
### Part (a): Identifying Members of the Fact Family
##### Question:
What are the other three members of this fact family? Select all that apply.
##### Options:
- A. \(3 - 5 = - (-5 + 3)\)
- B. \(8 - 5 = 3\)
- C. \(3 + 8 = 8 + 3\)
- D. \(5 + 3 + 8 = 0\)
- E. \(8 - 3 = 5\)
- F. \(3 + 5 = 8\)
- G. \(5 - 3 = 5 + (-3)\)
- H. \(8 + 5 = 3\)
### Part (b): Illustrating Number Facts with Number Line Models
In this part, you're provided with four number line models. Each model illustrates different number facts using arrows to show addition or subtraction along the number line.
#### Explanation of Graphs:
1. **Graph 1**:
- Shows a jump from 5 to 8 representing the equation \(5 + 3 = 8\).
- Select from options carefully, ensuring that your choice corresponds to what's illustrated in the graph.
2. **Graph 2**:
- Represents a jump from 8 back to 5.
- Identify which of the given statements fits this number fact.
3. **Graph 3**:
- Illustrates an addition from 3 to 8.
- Choose appropriately based on this representation.
4. **Graph 4**:
- Shows a subtraction of 5 from 8, resulting in 3.
- Match this with the right number fact.
### Task:
- Use the drop-down menus below each number line to select the appropriate number fact.
### Learning Goals:
By the end of this lesson, you should be able to:
1. Recognize and identify members of a fact family.
2. Illustrate and understand addition and subtraction through number line models.
3. Use
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