Podcast
Questions and Answers
Which of the following points lies in the second quadrant?
Which of the following points lies in the second quadrant?
The coordinates of point S, where diagonals AC and BD intersect, lie in the third quadrant.
The coordinates of point S, where diagonals AC and BD intersect, lie in the third quadrant.
False
What is the formula for calculating the annual costs for docking based on the area?
What is the formula for calculating the annual costs for docking based on the area?
cost = 50 + 10 × area
At the Buoy marina, if Mr. Mast's area is X m², then Mrs. Block's area is _____ m².
At the Buoy marina, if Mr. Mast's area is X m², then Mrs. Block's area is _____ m².
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Match the calculations to their results for the given variables:
Match the calculations to their results for the given variables:
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How much weight did the kitten gain between week 2 and week 3?
How much weight did the kitten gain between week 2 and week 3?
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The graph of Ruben's distance shows a constant speed throughout the entire trip.
The graph of Ruben's distance shows a constant speed throughout the entire trip.
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What is Ruben's speed in km/hr for the first part of the graph if the distance covered is 30 km in 1.5 hours?
What is Ruben's speed in km/hr for the first part of the graph if the distance covered is 30 km in 1.5 hours?
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For the scenario described in section 3.6a, the cost of one kilometer is _____ euros.
For the scenario described in section 3.6a, the cost of one kilometer is _____ euros.
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If a triangle's left vertex is at (-50, 10), what are the coordinates two places further to the left?
If a triangle's left vertex is at (-50, 10), what are the coordinates two places further to the left?
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Study Notes
3.1 Coordinate Planes
- Plot points on a coordinate plane (e.g., C(3, 2) and D(-2, 4))
- Draw a square ABCD, positioning A and B below the x-axis
- Find coordinates of A and B
- Identify the quadrant where the intersection of diagonals AC and BD (point S) lies
- Shade points with an x-coordinate of 2 and a y-coordinate between 3 and 4
3.2 Patterns in Coordinate Planes
- Identify patterns in a sequence of triangles
- Determine coordinates of left vertex of a triangle (e.g., triangle 8)
- Given the left vertex of a triangle (e.g., (-50, 10)), find the left vertex of the triangle two places further to the left
- Understand the relationship between the triangle's position and their coordinates
3.3 Graphs in Coordinate Planes
- Analyze graphs showing distance to a destination (e.g., Assen) for Josh and Ruben
- Calculate the distance between Josh and Ruben at a specific time (e.g., 9:30 a.m.)
- Determine the duration Josh stays in Assen
- Identify the time when Josh and Ruben meet on the way back
- Break down Ruben's graph into four parts and calculate the speed (km/hr) for each part
3.3 Graphs in Coordinate Planes (Continued)
- Sketch graphs for various situations (e.g., Ryan cycling, Jasmin cycling with a break)
- Create corresponding distance graphs for these situations
3.4 Word Formulas
- Calculate annual cost of renting a dock, considering area (e.g., 50 + 10 * area)
- Determine difference in dock rental costs for different boat sizes (e.g., Mrs. Block's and Mr. Mast's)
- Calculate the area of a boat given the yearly dock rental cost(e.g. €470)
- Understand a scenario with a fixed fee and per-m² charge related to yearly dock rental, including a formula
3.5 Formulas with Letters
- Perform calculations with formulas involving variables (e.g., calculate 5a - 8 for a = 4; calculate 3 - 5b for b = 6; calculate 18 + c for c = 3)
3.5 Formulas with Letters (Continued)
- Evaluate expressions with variables and substitution (e.g., calculate 2 - 8(5 - d) for d = 7; calculate -2(3e) - 8 for e = 5; calculate 2f - 2(5g) for f = 5 and g = 10)
3.6 Graphs and Formulas
- Create a graph for taxi cost depending on distance (e.g., 5 + 2k, where k is distance in kilometers)
- Calculate a taxi fare based on given distance and company formula
- Calculate taxi fare using a different formula (e.g., Blue taxi formula: c = 5p + 1.5k)
- Create a graph for taxi cost depending on number of passengers and distance using the given formula
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Description
Explore the world of coordinate planes in this quiz tailored for Class 3 students. Engage with activities such as plotting points, understanding triangle patterns, and analyzing distance graphs. Test your knowledge on key concepts related to coordinates and graphs.
