Number Line and Coordinate Plane (copy)

Objective: Place whole numbers, fractions, and decimals correctly on a number line.
Explanation: A number line is a straight line with numbers placed in order.
- Whole numbers are spaced evenly.
- Fractions and decimals are placed based on their value relative to whole numbers.
Example:
- Place 2.52.52.5 on a number line between 222 and 333.
Practice:
- Place the following numbers on a number line: 0.5,1,2.25,30.5, 1, 2.25, 30.5,1,2.25,3.

Objective: Compare two positive numbers using > (greater than) and < (less than).
Explanation: Use > to show that the number on the left is larger, and < to show that the number on the left is smaller.
Example:
- 5>35 > 35>3 (5 is greater than 3)
- 2<42 < 42<4 (2 is less than 4)
Practice:
- Compare the following pairs and use > or <:
  - 777 _____ 999
  - 1.51.51.5 _____ 1.21.21.2

Objective: Use negative numbers in real-world situations.
Explanation: Negative numbers are used to represent values less than zero, like temperatures or debt.
Example:
- If the temperature is −5-5−5 degrees, it is below zero.
Practice:
- Explain what a debt of -$50 means.

Objective: Place positive and negative numbers on a number line and arrange them from smallest to largest.
Explanation: When ordering, remember that negative numbers are smaller than positive numbers.
Example:
- Order: −3,−1,0,2,4-3, -1, 0, 2, 4−3,−1,0,2,4
Practice:
- Order the following from smallest to largest: 2,−1,0,−3,42, -1, 0, -3, 42,−1,0,−3,4.

Objective: Understand that absolute value tells the distance from 0 on the number line.
Explanation: The absolute value of a number is always positive, representing its distance from zero.
Example:
- ∣−4∣=4|-4| = 4∣−4∣=4 and ∣3∣=3|3| = 3∣3∣=3
Practice:
- Find the absolute value of:
  - ∣−7∣|-7|∣−7∣
  - ∣5∣|5|∣5∣

Objective: Explain how absolute value helps us understand size.
Explanation: Absolute value shows how big a number is, regardless of whether it is positive or negative.
Example:
- The absolute value of −10-10−10 and 101010 is the same, which is 101010.
Practice:
- Explain how absolute value helps in understanding debts or temperatures.

Objective: Name and locate points on a coordinate plane.
Explanation: A coordinate plane has an x-axis (horizontal) and a y-axis (vertical). Each point is named by its coordinates (x,y)(x, y)(x,y).
Example:
- The point (3,2)(3, 2)(3,2) is located 3 units to the right and 2 units up from the origin (0,0)(0, 0)(0,0).
Practice:
- Name the coordinates of the point that is 2 units right and 3 units down.

Objective: Draw and identify shapes on a coordinate plane.
Explanation: You can create shapes using points plotted on the coordinate plane, such as triangles or rectangles.
Example:
- Draw a triangle using points (1,1),(1,3),(3,1)(1,1), (1,3), (3,1)(1,1),(1,3),(3,1).
Practice:
- Draw a rectangle using the points (1,1),(1,4),(5,1),(5,4)(1,1), (1,4), (5,1), (5,4)(1,1),(1,4),(5,1),(5,4).

Objective: Find lengths of horizontal and vertical line segments on a coordinate plane.
Explanation: To find the length of a line segment, subtract the coordinates.
Example:
- For points (1,2)(1,2)(1,2) and (1,5)(1,5)(1,5), the length is ∣5−2∣=3|5 - 2| = 3∣5−2∣=3.
Practice:
- Find the length between (2,3)(2,3)(2,3) and (2,7)(2,7)(2,7).

Objective: Solve real-world problems involving a coordinate plane.
Explanation: Use the coordinate plane to plot points and visualize problems.
Example:
- If a store is located at (3,2) and a park is at (1,4), find the distance between them.
Practice:
- Create a real-world problem that can be solved using the coordinate plane.