Coordinate Grids
What are the two lines called that form a coordinate grid?
The x-axis and y-axis.
What do you call a four-sided shape?
A quadrilateral.
If a rule is “Add 3,” what’s the next number in: 3, 6, 9, ___?
12.
Where are all points in the first quadrant?
Top-right; both x and y are positive.
What is the name of the point where the x-axis and y-axis meet?
The origin.
Which shape has 4 equal sides and 4 right angles?
A square.
What’s the difference between a pattern that adds 5 and one that multiplies by 5?
Adding grows slowly; multiplying grows quickly.
Graph (5, 0) — what could this mean in real life?
5 apples and 0 oranges (x = apples, y = oranges, for example).
What ordered pair represents the origin?
(0, 0)
Is every square a rectangle? Why or why not?
Yes, it has 4 right angles and equal opposite sides.
Pattern A adds 2. Pattern B adds 4. How are the numbers in each pattern related?
Pattern B is double Pattern A.
A rectangle has area 24. If one side is 4, what’s the other side?
6 (because 4 × 6 = 24).
James says (5, 2) is the same as (2, 5). Is he correct? Why or why not?
No. (5, 2) and (2, 5) land in different places. The order matters.
A garden has 4 equal sides but no right angles. What shape is it? Could it be a square?
It’s a rhombus. No right angles, so not a square.
Pattern A: Add 3. Pattern B: Multiply by 3. First 4 terms? Which grows faster?
A: 1, 4, 7, 10. B: 1, 3, 9, 27. Pattern B grows faster.
You want an area of 36. One rectangle is 6×6. Give another option and plot it.
9 × 4 = 36. Other example: 12 × 3.
A drone delivers a package to (3, 4). It moves 2 units right, 1 unit up. Where is it now?
(5, 5) — Start at (3, 4), move right to 5, up to 5.
Emily says trapezoids have one pair of parallel sides. Jackson says they can have more. Who's right?
Jackson (inclusive definition); trapezoids can have more.
Pattern A gives +2 coins per level. Pattern B gives 3×level. How many at level 5?
A: 10 coins. B: 15 coins. Pattern B gives 5 more.
Rectangle with corners (1,1), (1,4), (5,4), (5,1). What’s the perimeter?
Length = 4, Width = 3 → Perimeter = 2(4 + 3) = 14 units.