6.3. Lesson 15- Quadrants

6.3. Lesson 15- Quadrants

- Students know that the coordinate grid is created by the x-axis and the y-axis. When these axis cross, QUADRANTS are created.

-Students are familiar with the QUADRANTS and can name the quadrants that certain ordered pairs are located.

Multiple Select

Select all the ordered pairs that must lie on the x-axis

• (0,3)

• (3,0)

• (-2,0)

• (0,-5)

• (-4,5)

Open Ended

What do ordered pairs that lie on the x-axis have in common?

Multiple Select

TRY AGAIN Select all the ordered pairs that must lie on the x-axis

• (0,3)

• (3,0)

• (-2,0)

• (0,-5)

• (-4,5)

Multiple Select

Select all the ordered pairs that must lie on the y-axis

• (0,3)

• (3,0)

• (-2,0)

• (0,-5)

• (-4,5)

Open Ended

What do ordered pairs that lie on the y-axis have in common?

Multiple Select

TRY AGAIN: Select all the ordered pairs that must lie on the y-axis

• (0,3)

• (3,0)

• (-2,0)

• (0,-5)

• (-4,5)

Open Ended

If the origin is the only point with 𝟎 for both coordinates, what must be true about the origin?

Open Ended

The 𝑥- and 𝑦-axes divide the coordinate plane into regions called quadrants. Why are the regions called quadrants

Poll

Which of the four regions did you work with most in Grade 5, and why was it the only region you used?

• top right (I)

• top left (II)

• bottom right (III)

• bottom left (IV)

The four quadrants are numbered one through four using roman numerals. The upper-right quadrant is Quadrant I, and the remaining quadrants are numbered moving counterclockwise from Quadrant I: Quadrant II, Quadrant III, and Quadrant IV. 

Start from I and make a "c"

Exercises 4–6 (5 minutes) Students locate and label points that lie on the coordinate plane and indicate in which of the four quadrants the points lie. 

page 62 & 63

Open Ended

Do you see any similarities in the points within each quadrant? Explain your reasoning

Multiple Select

What do you know about the location of a point on the coordinate plane if: Both coordinates are positive? (select all that apply, may be 1 answer, may be multiple)

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Select

What do you know about the location of a point on the coordinate plane if: Only one coordinate is positive? (select all that apply, may be 1 answer, may be multiple)

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Select

What do you know about the location of a point on the coordinate plane if: Both coordinates are negative?(select all that apply, may be 1 answer, may be multiple)

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Select

What do you know about the location of a point on the coordinate plane if: One coordinate is zero?(select all that apply, may be 1 answer, may be multiple)

• All quadrants

• Not possible

• Point located at origin

• point located on y-axis

• point located on x-axis

Multiple Select

What do you know about the location of a point on the coordinate plane if: Both coordinates are zero?(select all that apply, may be 1 answer, may be multiple)

• All quadrants

• Not possible

• Point located at origin

• point located on y-axis

• point located on x-axis

Poll

Review Outcomes

• I confidently know which quadrant a point would be located in

• I kinda know which quadrant a point would be located in.

• I have no clue what quadrants are and how to identify what points go where.