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The Hero's Journey Β· Block 7 Β· Lesson 74 →

Shadow Clocks and Star Light: Graphing Earth's Patterns ✨ cross-curricular

Teacher: TeacherAI | Grade: 5 | Subject: Science, Math | Duration: 60 minutes

πŸ“ Description: Students collect and graph shadow measurement data on a coordinate plane to discover predictable patterns in Earth's daily and seasonal cycles, gravity, and star brightness.

Standards

  • 5-PS2-1: Support an argument that the gravitational force exerted by Earth on objects is directed down
  • 5-ESS1-1: Support an argument that differences in the apparent brightness of the sun compared to other stars is due to their relative distances from Earth
  • 5-ESS1-2: Represent data in graphical displays to reveal patterns of daily changes in length and direction of shadows, day and night, and the seasonal appearance of some stars in the night sky
  • 5.G.2: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane

Learning Objectives

Students will be able to:

  • Argue using evidence that gravity pulls objects toward Earth (directed downward), not sideways or upward
  • Explain why the sun appears brighter than other stars using the concept of relative distance from Earth
  • Plot shadow length data as ordered pairs on a coordinate plane and identify the pattern of change across a day
  • Connect the patterns in shadow length, day/night cycles, and seasonal star visibility to Earth's predictable movements

Supplies Needed

  • White paper (for coordinate plane graphing)
  • Rulers (with halves and fourths of inch)
  • Pencils
  • Crayons/colored pencils (to color-code graph points)
  • Chart paper (for class anchor chart)
  • Whiteboard and dry-erase markers (for modeling)

Lesson Structure

Opening (5 minutes)

Stand at the front of the room and hold a pencil horizontally, then drop it. Ask: "Which way did it fall? Why?" Let 2-3 students respond. Then say: "Now imagine you're standing in Australia β€” on the other side of Earth. Which way would a dropped pencil fall for them?" Pause for discussion. Reveal: gravity always pulls toward Earth's center β€” down, from any point on the globe. Transition: "Gravity keeps us on Earth. Earth also moves in patterns that affect everything we see in the sky β€” shadows, day and night, even which stars are visible. Today we're going to find those patterns by graphing real data."

Main Activity (50 minutes)

Step-by-step instructions:

  1. (8 min) β€” Gravity and Star Brightness: Build the Foundation. Write on the whiteboard: Why does the sun look so much brighter than other stars? Draw a simple diagram: Earth in the center, the sun close by, and 3-4 dots labeled "other stars" far away. Ask students to turn and talk: "What do you notice about the distances?" Debrief together. Write the key idea on chart paper: "The sun is a star. It looks brightest because it is closest to Earth. Other stars are so far away they look tiny and dim β€” but many are actually bigger and brighter than our sun." Connect back: gravity from Earth (directed down) keeps us in orbit around the sun, which is why we see it consistently.
  2. (7 min) β€” Introduce Shadow Pattern Data. Tell students: "Scientists measured the shadow length of a 1-meter stick placed in the sun at different times during one day. I'm going to give you that data." Write the following data table on the whiteboard β€” students copy it into the Data Table section of their recording sheet:

    Time (Hour) / Shadow Length (cm): 7 AM = 95 cm | 9 AM = 55 cm | 11 AM = 20 cm | 12 PM = 8 cm | 1 PM = 18 cm | 3 PM = 52 cm | 5 PM = 90 cm

    Ask: "Before we graph, what do you predict the shape of the graph will look like?" Take 2-3 predictions aloud. Write them on the board to revisit later.
  3. (15 min) β€” Graph Points on the Coordinate Plane. Model on the whiteboard: draw the first quadrant of a coordinate plane. Label the x-axis "Time (Hour of Day, 7–17)" and the y-axis "Shadow Length (cm, 0–100)." Show students how to convert time to a number: 7 AM = 7, 9 AM = 9, 12 PM = 12, 5 PM = 17. Plot the first point (7, 95) aloud, narrating: "I go to 7 on the x-axis first β€” that's the time. Then I go up to 95 β€” that's the shadow length. I put my dot there." Students then plot all 7 points independently on their own coordinate plane (Recording Sheet). Circulate and check that students are reading both axes correctly. Remind them: the ordered pair is always (x, y) β€” time first, then shadow length.
  4. (8 min) β€” Connect the Dots and Describe the Pattern. Have students use a colored pencil to connect their points with a smooth curved line. Ask: "What shape does the line make?" (A U-shape or curved valley.) Ask: "When is the shadow shortest? Longest? Why?" Guide students to connect this to the sun's position: when the sun is highest in the sky (midday), shadows are shortest. When the sun is low (morning/evening), shadows are longest. Write on chart paper: "Shadow patterns repeat every day because Earth rotates in a predictable pattern β€” this is what causes day and night."
  5. (7 min) β€” Seasonal Stars Discussion. Ask: "If Earth is always moving around the sun, does the nighttime side of Earth always face the same stars?" Let students discuss in pairs for 1 minute, then share out. Explain: Earth's orbit means we face different parts of the universe at different times of year β€” this is why some constellations only appear in summer and others only in winter. Draw a simple diagram: Earth at 4 positions around the sun, with arrows showing which direction is "nighttime sky" at each position. Students sketch this diagram in the "Seasonal Stars" box on their recording sheet and label it.
  6. (5 min) β€” Anchor Chart: Patterns in Our Sky. As a class, build a 3-column anchor chart on chart paper. Columns: What We Observe | Caused By | Pattern It Makes. Rows to fill in together: (1) Shadows change length through the day / Earth's rotation / U-shape curve on graph; (2) Day and night / Earth's rotation / 24-hour cycle; (3) Different stars in winter vs. summer / Earth's orbit around the sun / Seasonal cycle; (4) Sun looks brighter than stars / Sun is much closer to Earth / Distance relationship. Students copy the completed chart into the Notes section of their recording sheet.

Closing (5 minutes)

Return to the predictions students made before graphing. Ask: "Were your predictions correct? What surprised you about the shape?" Have students write one sentence on the back of their recording sheet: "The pattern I found in the shadow data shows that..." Collect recording sheets as an exit ticket.

Quick Check: Ask these 3 questions verbally before dismissal:

  • "Which direction does gravity always pull β€” and how do we know?" (Down, toward Earth's center β€” dropped objects always fall that way)
  • "If Proxima Centauri is actually larger than our sun, why does it look like a tiny dot at night?" (It is enormously far from Earth compared to the sun)
  • "On your graph, what does the lowest point of the U-curve represent?" (The shortest shadow, which occurs at midday when the sun is highest)

Formative Assessment

During the lesson, look for:

  • Coordinate plane accuracy: As students plot points, check that they are placing the time value on the x-axis first and shadow length on the y-axis. A common error is reversing the axes or plotting shadow length as the x-value. Pause and re-model for the whole class if more than 3-4 students make this mistake.
  • Pattern explanation depth: Listen during the shadow discussion to see if students simply describe the shape ("it goes down then up") or explain the cause ("the sun is highest at noon so the shadow is shortest"). Push students who only describe to ask: "What is making that happen?"
  • Exit sentence quality: On collected recording sheets, look for whether students connect the data pattern to Earth's rotation β€” not just restating that shadows change, but explaining why the pattern is predictable and repeating.

Differentiation Strategies

Support for Struggling Students:

  • Pre-number the x and y axes on the coordinate plane for students who struggle with scale β€” draw tick marks at every 5 units on the y-axis and label each time on the x-axis so they only need to find and dot the intersection
  • Provide a sentence frame for the exit sentence: "The pattern I found shows that shadows are [longest/shortest] in the [morning/midday/evening] because the sun is ___."
  • During the gravity opening, physically demonstrate with a dropped pencil from different classroom locations and have students point in the direction gravity pulled β€” building the concept through repeated concrete experience before the abstract discussion

Challenge for Advanced Learners:

  • Ask students to calculate the rate of change between each time interval: how many centimeters did the shadow shrink (or grow) per hour? Have them determine which hour had the fastest rate of change and explain why
  • Challenge students to predict what the shadow graph would look like in December vs. June in your city β€” sketch both on the same coordinate plane and justify the differences using Earth's tilt
  • Have students write a two-paragraph argument: one paragraph for gravity (using the dropped-object evidence) and one for star brightness (using the distance diagram) β€” practicing the formal scientific argument structure

ELL/ELD Support:

  • Post a visual vocabulary wall with labeled diagrams for: gravity, orbit, rotation, shadow, constellation, coordinate plane, ordered pair β€” reference it explicitly at each transition point in the lesson
  • Allow students to label their coordinate plane graphs in their home language first, then add English labels β€” the mathematical pattern does not require English proficiency to recognize
  • During turn-and-talk segments, pair ELL students with a bilingual partner when possible, or provide the discussion prompt in writing so students can read and think before speaking

Shadow Patterns Recording Sheet

Name: _______________________________ Date: _____________ Period: _____


SECTION 1 β€” Data Table: Copy from the board

Time of Day Hour Number (x) Shadow Length in cm (y) Ordered Pair (x, y)
7:00 AM795(7, 95)
9:00 AM955(9, ____)
11:00 AM1120(____, ____)
12:00 PM (noon)128(____, ____)
1:00 PM1318(____, ____)
3:00 PM1552(____, ____)
5:00 PM1790(____, ____)

SECTION 2 β€” Coordinate Plane: Plot all 7 points and connect them with a curved line

Label: x-axis = Time (Hour of Day) | y-axis = Shadow Length (cm)

100
90
80
70
60
50
40
30
20
10
0
 7         8         9        10       11       12       13       14       15       16       17

Shadow Length (cm) [y-axis, left side]  |  Time - Hour of Day [x-axis, bottom]


SECTION 3 β€” Describe the Pattern

What shape does your graph make? Circle one:   U-shape     Straight line     Random dots     Hill shape

When is the shadow shortest? __________________ Why? ______________________________________________

When is the shadow longest? __________________ Why? _______________________________________________


SECTION 4 β€” Seasonal Stars Sketch Box

Draw Earth at 4 positions around the sun. Use arrows to show which direction is the "nighttime side" at each position. Label Summer, Fall, Winter, Spring.


SECTION 5 β€” Patterns in Our Sky (Copy the class anchor chart)

What We Observe Caused By Pattern It Makes
Shadows change length during the day
Day and night
Different stars in winter vs. summer
Sun looks brighter than other stars

SECTION 6 β€” Exit Sentence

The pattern I found in the shadow data shows that ________________________________________________________________ _______________________________________________________________________________________________

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