All questions
Question 1
A pendulum swings 30, 25, 20, 15 times each minute. Based on the pattern, what happens next?
- It will swing 10 times next because it decreases by 5 each minute. (correct answer)
- It will swing 35 times next because it increases by 5 each minute.
- It will swing 30 times again because the pattern repeats.
- It will swing 20 times next because it stays the same.
Explanation: This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. Here, the pendulum swings 30, 25, 20, and 15 times each minute, revealing a pattern of decreasing by 5 swings per minute. Choice B accurately predicts the next swing as 10 times by continuing the -5 pattern, which matches the consistent subtraction. Choice A incorrectly assumes repetition, while C and D suggest staying the same or increasing, ignoring the decreasing trend. To teach this, organize the swing counts in order and look for what happens each time, such as subtracting 5. Calculate differences between consecutive observations to confirm the pattern, then use it to predict the next value like 15 - 5 = 10.
Question 2
A ball bounces 100 cm, then 50 cm, then 25 cm high. What pattern do students observe?
- The bounce height cuts in half each bounce (100, 50, 25). (correct answer)
- The bounce height adds 25 cm each bounce (25, 50, 75).
- The bounce height stays the same at 50 cm each time.
- There is no pattern because 25 cm is too small to count.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students learn to identify patterns in motion data and use them to predict what will happen next because similar conditions produce similar results. The ball's bounce heights (100 cm, 50 cm, 25 cm) demonstrate a halving pattern where each bounce reaches half the height of the previous one. Answer A correctly identifies this pattern by stating the bounce height cuts in half each bounce, which students can verify by calculating ratios (50÷100=0.5, 25÷50=0.5). Answer B incorrectly suggests an additive pattern, C wrongly claims constant height, and D dismisses valid data based on size rather than recognizing the mathematical relationship. To help students recognize multiplicative patterns, have them calculate what fraction each bounce is of the previous one. When they consistently find 1/2 or 0.5, they understand the "divide by 2" rule that governs this bouncing ball's energy loss pattern.
Question 3
A wind-up car goes 50 cm, 48 cm, 52 cm, 49 cm, 51 cm. Predict the next distance.
- About 50 cm (correct answer)
- 100 cm
- 20 cm
- It must be exactly 52 cm every time.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Recognizing patterns helps predict motion, but some patterns show consistency around a value rather than exact repetition. The wind-up car travels distances that cluster around 50 cm: 50, 48, 52, 49, 51 cm, showing small variations but staying close to 50 cm. Answer A correctly predicts "about 50 cm" recognizing this pattern of consistency with minor variation. Answer B suggests exactly 100 cm which doubles the pattern, C suggests 20 cm which is far below the range, and D incorrectly demands exact precision when the pattern shows natural variation. When data shows small variations around a central value, the pattern is "stays around" that value rather than following a strict mathematical rule.
Question 4
A ball bounces 100 cm, 50 cm, then 25 cm high. What is happening to the bounce height each time?
- It stays the same height each bounce, near 50 cm.
- It increases by 25 cm each bounce (25, 50, 75, 100).
- It decreases by 25 cm each bounce (100, 75, 50, 25).
- It cuts in half each bounce (100, 50, 25). (correct answer)
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Understanding how motion changes over time helps us predict future behavior because energy transformations follow predictable patterns. The ball bounces 100 cm, 50 cm, then 25 cm high, showing that each bounce reaches exactly half the height of the previous one (100→50 is ÷2, 50→25 is ÷2). Answer D correctly identifies that bounce height cuts in half each time, reflecting how balls lose a consistent fraction of energy with each bounce due to inelastic collisions. The other options fail because A claims constant height (contradicting decreasing data), B suggests increasing height (opposite of reality), and C suggests decreasing by 25 cm each time (which only works for the first two values). To help students recognize multiplicative patterns, have them calculate ratios between consecutive bounces (50÷100=0.5, 25÷50=0.5) rather than just differences. This reveals the halving pattern and predicts the next bounce would be 12.5 cm (25÷2).
Question 5
A marble takes 2 s on 1 m, 4 s on 2 m, and 6 s on 3 m. What is happening to time?
- Time stays the same at 2 s each time.
- Time decreases by 2 s each meter (6, 4, 2).
- Time increases by 2 s for each 1 m more track (2, 4, 6). (correct answer)
- Time cuts in half each time the track gets longer.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). When we observe how motion changes under different conditions, we can predict future behavior because physical relationships remain consistent. The marble takes 2 seconds on 1 meter, 4 seconds on 2 meters, and 6 seconds on 3 meters of track, showing that time increases by 2 seconds for each additional meter (2s per meter). Answer C correctly identifies this pattern where time increases by 2 seconds for each 1 meter more track, establishing a direct proportional relationship between distance and time. The other options fail because A claims time stays constant (contradicting the data), B suggests time decreases (opposite of what happens), and D suggests halving (not matching the linear pattern). To help students see this relationship, have them create a table with track length and time, then calculate the time per meter (2s/1m=2, 4s/2m=2, 6s/3m=2). This constant rate reveals the predictable pattern.
Question 6
A ball rolls from ramps and goes 100 cm, 200 cm, 300 cm. Based on the pattern, how far will it roll next?
- 300 cm
- 150 cm
- 400 cm (correct answer)
- 50 cm
Explanation: This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, students can predict future behavior because similar conditions often lead to similar results. The ball rolls 100 cm, 200 cm, and 300 cm, showing an increase of 100 cm each time. Choice B correctly predicts 400 cm for the next roll, extending the arithmetic sequence accurately. Distractors like A fail by suggesting smaller increments that ignore the established +100 cm trend. To teach this, sequence the distances and compute differences between them. Encourage students to identify 'what happens each time' and apply the pattern to forecast the subsequent distance.
Question 7
A marble takes 2 s on 1 m, 4 s on 2 m, and 6 s on 3 m. Use the pattern to predict time on 4 m.
- 10 s
- 8 s (correct answer)
- 6 s
- 4 s
Explanation: This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. The marble takes 2 seconds on 1 m, 4 seconds on 2 m, and 6 seconds on 3 m, showing a pattern of adding 2 seconds per additional meter. Choice A correctly predicts 8 seconds for 4 m by extending the +2 seconds trend, matching the proportional relationship. Choices B, C, and D fail by not following the increase, suggesting lower or higher unrelated times. To teach this, organize distance and time data in order and calculate differences like +2 seconds per meter. Use the pattern to predict the next value, such as 6 + 2 = 8 seconds for 4 m.
Question 8
A toy car goes 30 cm, 60 cm, 90 cm with stronger pushes. Can you predict the next result?
- Yes, 120 cm because it adds 30 cm each time. (correct answer)
- No, because the car might stop moving next time.
- Yes, 180 cm because it doubles each time.
- Yes, 90 cm because the last number repeats.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Pattern recognition enables prediction because when we apply similar forces or conditions, we get predictable results. The toy car travels 30 cm, 60 cm, 90 cm with stronger pushes, showing an increase of 30 cm each time. Answer A correctly identifies this pattern and predicts 120 cm for the next push by adding another 30 cm. Answer B incorrectly suggests the car might stop without justification, C claims doubling which would predict 180 cm but the actual pattern is adding 30, and D suggests repeating 90 cm which ignores the increasing trend. When data shows consistent increases with stronger forces, use the pattern of change (+30 cm here) to predict the next value.
Question 9
A wind-up car rolls 50 cm, 48 cm, 52 cm, 49 cm, 51 cm. Can you predict next?
- Yes, it will be about 50 cm because the distances stay around 50 cm. (correct answer)
- No, there is no trend because 52 cm is bigger than 48 cm.
- Yes, it will be 30 cm because it decreases by 10 cm each trial.
- Yes, it will be 100 cm because the distance doubles every trial.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Sometimes motion data shows variation rather than exact patterns, but we can still make predictions based on the overall trend. The wind-up car's distances (50, 48, 52, 49, 51 cm) vary slightly but all cluster around 50 cm, showing consistent performance with minor variations. The correct answer A accurately recognizes that despite small differences, the distances stay around 50 cm, making a prediction of about 50 cm reasonable. Answer B incorrectly claims no trend exists just because values vary, answer C wrongly suggests doubling when no such pattern exists, and answer D incorrectly identifies a decreasing pattern that isn't supported by the data. When data shows variation, look for the central tendency - here all values are within 2 cm of 50, suggesting the next distance will also be near 50 cm.
Question 10
A ball rolls 100 cm, 200 cm, 300 cm on low, medium, high ramps. Predict next distance.
- 400 cm (correct answer)
- 350 cm
- 300 cm
- 150 cm
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Identifying patterns allows prediction because consistent changes in conditions produce consistent changes in motion. The ball shows a clear pattern where distance increases by 100 cm with each higher ramp: 100 cm (low), 200 cm (medium, +100), 300 cm (high, +100). Answer A correctly predicts 400 cm for the next (presumably extra-high) ramp by adding another 100 cm. Answer B suggests 350 cm which only adds 50, C suggests no change from the last value, and D suggests going backwards to 150 cm. To find patterns when conditions change systematically (low→medium→high), calculate the difference between consecutive results - here it's consistently +100 cm per ramp level increase.
Question 11
A toy car rolls 30 cm, 60 cm, 90 cm, 120 cm with stronger pushes. Use the pattern to predict the next distance.
- 150 cm (correct answer)
- 130 cm
- 90 cm
- 180 cm
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students must identify patterns in motion data and use them to predict future motion because consistent patterns continue under similar conditions. The toy car's distances (30, 60, 90, 120 cm) show a pattern of increasing by 30 cm with each stronger push. The correct answer A (150 cm) accurately applies this pattern by adding 30 cm to the last value (120 + 30 = 150). Answer B (130 cm) incorrectly adds only 10 cm, while D (180 cm) adds too much (60 cm), and C (90 cm) goes backward in the sequence. To predict using patterns, identify what happens each time (here, +30 cm) and apply that same change to the last known value. This systematic approach helps students see that motion follows predictable rules.
Question 12
A toy car rolls 30 cm, 60 cm, 90 cm, then 120 cm with stronger pushes. What pattern do you observe?
- The distance decreases by 30 cm each time the push gets stronger.
- There is no pattern because the distances are all different.
- The distance increases by 30 cm each time (30, 60, 90, 120). (correct answer)
- The car always moves exactly 60 cm on every push.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Scientists identify patterns in motion data and use them to predict future motion because similar conditions produce similar results. In this stimulus, the toy car rolls 30 cm, 60 cm, 90 cm, then 120 cm with each stronger push, showing a clear increasing pattern. The correct answer C accurately identifies that the distance increases by 30 cm each time (30→60 is +30, 60→90 is +30, 90→120 is +30). Answer B incorrectly claims there's no pattern when there's a clear mathematical relationship, while D wrongly states the car always moves 60 cm when the distances clearly vary. To find patterns, organize data in order and calculate the difference between consecutive values - here each difference equals +30 cm, allowing prediction of the next value.
Question 13
A toy car goes 30 cm, 60 cm, 90 cm, 120 cm. Predict the next distance.
- 150 cm (correct answer)
- 90 cm
- 240 cm
- 60 cm
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Pattern recognition allows us to predict future motion because objects tend to continue following established patterns under similar conditions. The toy car's distances (30, 60, 90, 120 cm) show a consistent pattern of increasing by 30 cm each time. The correct answer A (150 cm) accurately applies this pattern by adding 30 cm to the last value (120 + 30 = 150). Answer B (90 cm) is already in the sequence and doesn't continue the pattern, answer C (240 cm) incorrectly doubles the last value instead of adding 30, and answer D (60 cm) is also already in the sequence. When predicting from patterns, look for what happens each time - here the consistent +30 cm increase tells us the next value must be 150 cm.
Question 14
A wind-up car goes 50 cm, 48 cm, 52 cm, 49 cm, 51 cm. Can students predict the next result?
- Yes, about 50 cm, because it stays near 50 cm each trial. (correct answer)
- No, it will definitely be exactly 100 cm next time.
- Yes, it must be 52 cm every time because that is the biggest.
- No, the distances always change by 10 cm each time.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students use patterns to predict future motion, understanding that consistent conditions produce similar but not identical results. The wind-up car's distances (50, 48, 52, 49, 51 cm) show a pattern of clustering around 50 cm with small variations. The correct answer A accurately states students can predict about 50 cm because values consistently stay near this distance, acknowledging normal variation. Answer B incorrectly predicts an exact 100 cm, which is far outside the observed range, while C wrongly insists on exactly 52 cm every time when values clearly vary. To make predictions with variable data, identify the typical range (here, 48-52 cm) and center value (about 50 cm). This teaches students that predictions can be approximate ranges rather than exact values, reflecting real-world measurement variation.
Question 15
A ball bounces to 100 cm, then 50 cm, then 25 cm. What pattern appears?
- Bounce height cuts in half each bounce (100, 50, 25). (correct answer)
- Bounce height stays the same at 50 cm each bounce.
- Bounce height doubles each time (25, 50, 100).
- There is no pattern because 25 cm is too small to measure.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Recognizing patterns in bouncing motion helps us understand energy loss because consistent changes reveal predictable behavior. The ball's bounce heights (100, 50, 25 cm) show each bounce is exactly half the previous height, demonstrating a clear halving pattern. The correct answer C accurately identifies that bounce height cuts in half each time, which reflects how bouncing balls lose energy predictably. Answer A incorrectly reverses the pattern suggesting heights double, answer B wrongly claims heights stay constant at 50 cm, and answer D fails to recognize the mathematical pattern of halving. To find patterns in motion data, look for mathematical relationships - here each value is 50% of the previous one, showing consistent energy loss with each bounce.
Question 16
A toy car goes 30 cm, 60 cm, 90 cm, then 120 cm as pushes get stronger. What is happening to the distance?
- The distance is getting bigger each time by 30 cm. (correct answer)
- The distance changes because time is changing, not push strength.
- The distance is getting smaller each time by 30 cm.
- The distance stays the same each time at 90 cm.
Explanation: This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. The toy car travels 30 cm, 60 cm, 90 cm, and 120 cm with stronger pushes, indicating the distance increases by 30 cm each time. Choice B correctly states the distance is getting bigger by 30 cm, matching the observed trend linked to push strength. Choice A incorrectly claims a decrease, while C and D suggest constancy or unrelated causes, ignoring the pattern. To teach this, organize the distances in order and calculate differences between consecutive values to spot the +30 cm increase. Use the pattern to predict future motion, like expecting 150 cm for an even stronger push.
Question 17
A pendulum swings 30, 25, 20, 15 times each minute. What pattern do students observe?
- It increases by 5 swings each minute (15, 20, 25, 30).
- It cuts in half each minute (30, 15, 7.5, 3.75).
- It decreases by 5 swings each minute (30, 25, 20, 15). (correct answer)
- There is no pattern because the numbers are not all the same.
Explanation: This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. The pendulum swings 30, 25, 20, and 15 times each minute, revealing a consistent decrease of 5 swings per minute. Choice C accurately identifies this decreasing pattern, matching the arithmetic subtraction. Choices A and B suggest incorrect increases or halving, while D denies any pattern despite the clear trend. To teach this, organize the swing counts in order and look for consistent changes, such as -5 each time. Calculate differences between consecutive observations to confirm, then use the pattern to predict the next as 15 - 5 = 10 swings.
Question 18
A ball rolls 100 cm, 200 cm, 300 cm as a ramp gets 20 cm higher each time. Based on the pattern, how far next?
- 350 cm
- 300 cm
- 200 cm
- 400 cm (correct answer)
Explanation: This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. The ball rolls 100 cm, 200 cm, and 300 cm as the ramp height increases by 20 cm each time, showing a pattern of adding 100 cm distance per height increase. Choice A correctly predicts 400 cm by continuing the +100 cm trend, matching the linear relationship. Choices B, C, and D fail by not extending the increasing pattern, suggesting lower or static values. To teach this, organize the distances and ramp changes in order, and calculate differences like +100 cm per 20 cm height. Use the pattern to predict the next value, such as 300 + 100 = 400 cm for another 20 cm higher ramp.
Question 19
A pendulum swings 30, 25, 20, then 15 times each minute. What is happening to the number of swings?
- The number of swings increases by 5 each minute.
- The number of swings decreases by 5 each minute (30, 25, 20, 15). (correct answer)
- The number of swings stays the same at about 25 each minute.
- There is no pattern because 25 is in the middle.
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Scientists observe patterns in motion data to understand how motion changes over time and predict future behavior. The pendulum's swing counts (30, 25, 20, 15) show a clear decreasing pattern as time passes. The correct answer B accurately identifies that swings decrease by 5 each minute (30→25 is -5, 25→20 is -5, 20→15 is -5). Answer A incorrectly claims swings increase when they clearly decrease, while C wrongly states they stay constant at 25 when values change each minute. To identify motion patterns, arrange data chronologically and calculate differences between consecutive measurements - here each difference equals -5 swings. This decreasing pattern suggests the pendulum is slowing down, which helps predict it will continue slowing at the same rate.
Question 20
A pendulum swings 30, 25, 20, 15 times each minute. Predict minute 5 swings.
- 20 swings
- 10 swings (correct answer)
- 5 swings
- 25 swings
Explanation: This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). When we identify consistent patterns in motion, we can predict future values because objects continue following established trends under similar conditions. The pendulum's swings (30, 25, 20, 15) decrease by 5 each minute, establishing a clear pattern. The correct answer B (10 swings) accurately continues this pattern for minute 5 by subtracting 5 from the minute 4 value (15 - 5 = 10). Answer A (20 swings) is the minute 3 value and doesn't continue the pattern, answer C (5 swings) would be minute 6's value, and answer D (25 swings) is the minute 2 value going backwards. When using patterns to predict, apply the consistent change (+/- value) to the last known data point - here subtracting 5 from 15 gives us 10 swings for minute 5.