math.gK.s.lesson_13
Comparing Length — Two Pencils, A Common Baseline
- Students can directly compare two objects by length by aligning them at a common baseline.
- Students can use the comparison vocabulary: longer, shorter, same length.
- Students can quantify length informally using linking cubes (stretch tier).
Lesson plan
Warm-up
5 minRead-aloud: Tana Hoban's 'Is It Larger? Is It Smaller?' (first 4 pages). After each photo: 'Which is LARGER? Which is SMALLER?' Then transition: 'Today we compare LENGTH — how LONG something is.'
- Hold up two pencils of different lengths randomly (not aligned)
- Ask: 'Which is longer?' Listen for varied responses (some children will struggle without alignment)
- Then align both at a common baseline (table edge) — now it's clear
M-K-S-GM-13-C
Video
Physical / non-image
Slow flip-through animation of 4 photographic page spreads from Tana Hoban's book: (1) two apples of different sizes; (2) two shoes; (3) two leaves; (4) two cups. Each page held for ~5 seconds with a voiceover question 'Which is larger?' / 'Which is smaller?' Music: gentle. Quality: high-resolution photograph reproductions.
Direct instruction
10 minWhen we compare LENGTH, there is one BIG RULE: we have to line both objects up at the SAME STARTING POINT — that's called a BASELINE. Watch. (Hold up two paper strips, one obviously longer.) If I hold them like this (offset), it's hard to tell. But if I line them up at the table edge (align both bottom ends at the table edge), now I can SEE — this one is LONGER than this one. Sentence frame: 'The blue strip is longer than the red strip.' Or: 'The red strip is shorter than the blue strip.' (Hold up two equal strips.) These are the SAME LENGTH — neither is longer. Now, to count HOW long something is, we can use linking cubes. (Build a cube train next to a pencil.) The pencil is 6 cubes long.
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We align FIRST. Then we compare.model The 18cm string is longer. The 12cm string is shorter.prompt Two strings — one 12cm, one 18cm — aligned on the table edge
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We can use CUBES to measure exactly how long. Longer = more cubes.model Measure with linking cubes. 6 cubes vs 8 cubes. The 8-cube crayon is longer.prompt Two crayons — one 6 cubes long, one 8 cubes long
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When aligned at the same baseline AND extending to the same end, they are the SAME LENGTH.model Same length. Neither longer.prompt Two identical pencils
- Show me with two pencils: align them at a common baseline. Which is longer?
- What is the BIG RULE for comparing length? (Listen for 'baseline' / 'start at the same place'.)
M-K-S-GM-13-A
Diagram
Two-panel diagram. Top panel labeled 'WRONG WAY': two pencils shown at random positions on the page, one offset from the other; a confused emoji face above. Bottom panel labeled 'RIGHT WAY': same two pencils aligned at a common baseline (a thick black horizontal line at the bottom); both bottom ends touch the line. A green check above. Caption: 'ALWAYS LINE THEM UP AT THE SAME BASELINE.' Style: clean, large clear labels.
Guided practice
10 min-
Pairs receive 3 pairs of paper strips. For each pair: (1) align at a common baseline, (2) identify the longer/shorter, (3) measure each with linking cubes, (4) say the sentence ('The ___ strip is longer than the ___ strip; it is ___ cubes long').scaffold Masking-tape baseline on the floor for full-body length comparison of children themselves (whose strip is longer when lined up at the line).
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Length scavenger hunt: 'Find something LONGER than your pencil. Find something SHORTER than your pencil.' Report back.scaffold Pre-marked starter pencil on each child's desk.
M-K-S-GM-13-B
Photograph
Top-down photo of a child-height table. A red crayon laid horizontally with a train of 7 linking cubes (snapped together, single-color: white) laid directly next to and parallel to the crayon, both aligned at the left end. Caption: 'The crayon is 7 cubes long.' Style: documentary, natural light.
Formative assessment
2 min- Compare two objects (provided): which is LONGER? Use the sentence frame.
- Measure your pencil with linking cubes. How many cubes long?
Closure
- Math Detective close: 'Length comparison needs a BASELINE. Tomorrow we compare WEIGHT — using a balance pan!'
Homework
5 min- Find two objects at home and compare their length. Tell a grown-up: 'The ___ is longer than the ___.' If you have linking cubes (or use coins as units), measure both.
Exercises in this lesson
Differentiation
- Pre-aligned object pairs (line up done for child)
- Cube-train pre-built next to one object for measurement comparison
- Sentence-frame card
- Order 3 or 4 objects from shortest to longest
- Measure something in your house (with cubes) and report back
- Picture-supported vocabulary (long arrow icon for 'longer')
- Bilingual sentence frame
- Tana Hoban book bilingual audio
- Pre-aligned objects
- Reduced measurement (estimation only, no cube-count required)
- Visual baseline-alignment template
Teacher notes
First measurement lesson (GM strand). The CRITICAL move is the baseline rule — children who don't align consistently make incorrect comparisons. Drill this with the masking-tape floor baseline; children stand on the line and we compare heights / arm-spans / strip-lengths from the line. Tana Hoban's photo book provides the wordless visual support — bilingual children especially benefit. Linking-cube measurement is the K-stretch toward G1 ruler work; cubes are non-standard units (different rooms might use different cube sizes), which is appropriate — G1 introduces standard units (inches/cm).