Harvest Comparisons Math Packet
Harvest Comparisons
Multiplicative vs. Additive Comparison Word Problems • Grade 4
Name:
Date:
Autumn Reference Guide: Spotting the Comparison Standard 4.OA.A.2
Multiplicative Comparison (Times as Many)
Compares by multiplying or dividing. One amount scales the other.
Clue words: “times as many”, “twice as much” • \(b \times m = a\)
Additive Comparison (More / Fewer)
Compares by finding the difference using addition or subtraction.
Clue words: “more than”, “fewer than” • \(b + d = a\)
Problem 1 Pumpkin Patch Weigh-In
Farmer Liam picked a sugar pumpkin that weighs 8 pounds. Farmer Maya harvested a prize pumpkin that weighs 4 times as much as Liam's pumpkin. How many pounds does Maya's pumpkin weigh?
Visual Model / Tape Diagram:
Equation with Unknown (p):
Equation: ____________________________
Remember to include appropriate units in your solution.
Answer:
Problem 2 Orchard Bushel Harvest
Elena picked 9 bushels of Honeycrisp apples. Marcus picked 3 times as many bushels as Elena. How many bushels of apples did Marcus pick?
Visual Model / Tape Diagram:
Equation with Unknown (b):
Equation: ____________________________
Compare: What if Marcus picked 3 MORE bushels instead?
Answer:
Harvest Comparisons • Page 1 of 4
Harvest Comparisons • Section 2: Solving for Unknown Groups & Multipliers
Name:
Problem 3 The Apple Cider Mill
The farm press squeezed 36 gallons of fresh cider on Saturday. That was 4 times as many gallons as they squeezed on Thursday. How many gallons of cider were squeezed on Thursday?
Visual Model / Tape Diagram:
Equation with Unknown (g):
Equation: __________________________
Think: Are we scaling down to find the smaller amount?
Answer:
Problem 4 Corn Maze Trails
The toddler corn trail is 12 yards long. The mega corn maze is 6 times as long as the toddler trail. How long is the mega corn maze?
Visual Model / Tape Diagram:
Equation with Unknown (m):
Equation: __________________________
Explain: Does this describe equal groups or adding more length?
Answer:
Problem 5 Autumn Leaf Collection
Noah collected 7 golden maple leaves for a craft project. Sophia collected 42 golden maple leaves. How many times as many leaves did Sophia collect compared to Noah?
Visual Model / Tape Diagram:
Equation with Unknown Multiplier (n):
Equation: __________________________
Focus: Here we are finding the comparison multiplier itself!
Answer:
Harvest Comparisons • Page 2 of 4
Harvest Comparisons • Section 3: Word Problems in the Woods & Farm
Name:
Problem 6 Squirrel Acorn Stash
A busy red squirrel buried 54 acorns under an oak tree. That was 6 times as many as the number of walnuts it buried. How many walnuts did the squirrel bury?
Visual Model / Tape Diagram:
Equation with Unknown (w):
Equation: __________________________
Tip: Use division or missing factor multiplication.
Answer:
Problem 7 Sunset Hayride Passengers
On Saturday evening, 48 visitors rode the sunset hay wagon. That was 8 times as many riders as the early morning hayride. How many visitors rode the morning hayride?
Visual Model / Tape Diagram:
Equation with Unknown (r):
Equation: __________________________
Contrast: What would “8 fewer riders” have meant?
Answer:
Problem 8 Autumn Bake Sale Pies
The community bakery baked 5 pumpkin pies on Wednesday. On festival Saturday, they baked 35 pumpkin pies. How many times as many pies did they bake on Saturday as on Wednesday?
Visual Model / Tape Diagram:
Equation with Unknown Multiplier (k):
Equation: __________________________
Check: Does \(5 \times k = 35\)?
Answer:
Harvest Comparisons • Page 3 of 4
Harvest Comparisons • Section 4: Side-by-Side Comparison & Festival Challenge
Name:
Problem 9 Side-by-Side Comparison: Gourd Harvest
Caleb gathered 6 decorative gourds from the garden. Notice how just a few words change the mathematical relationship!
Case A: Additive Comparison
Zoe gathered 4 MORE gourds than Caleb. How many gourds did Zoe gather?
Visual Model / Drawing:
Equation with Unknown (z):
Equation: _______________________
Answer:
Case B: Multiplicative Comparison
Lucas gathered 4 TIMES AS MANY gourds as Caleb. How many gourds did Lucas gather?
Visual Model / Drawing:
Equation with Unknown (L):
Equation: _______________________
Answer:
Problem 10 Cider Donut Festival Challenge
At the autumn festival, the cider stand sold 8 jugs of warm spiced cider. The bakery tent sold 5 times as many bags of cinnamon donuts as jugs of cider.
Part 1: Bags of Donuts
Write an equation with unknown (d) and solve for donut bags.
Donut bags (\(d\)): ____________
Part 2: Total Items Sold
How many total items (cider jugs + donut bags) were sold altogether?
Total (\(t\)): __________________
Double check both steps before writing final answers!
Donuts: Total Items:
Autumn Mathematician Checklist
Read and highlighted comparison terms
Drew tape diagram or visual model
Wrote equation with unknown symbol
Included proper unit label in answer
Harvest Comparisons • Page 4 of 4
Harvest Comparisons Answer Key
Teacher Resource
Harvest Comparisons • Answer Key & Guide
CCSS.MATH.CONTENT.4.OA.A.2 • Multiplicative & Additive Word Problems
Grade 4 Mathematics
10 Total Problems • 4 Pages
Key Standard Expectation: Students must distinguish multiplicative comparison (\(a = b \times m\)) from additive comparison (\(a = b + d\)), sketch a visual model, and write an equation with an unknown letter.
Problem 1 Pumpkin Patch Weigh-In
Answer: 32 pounds
Sample Visual Model (Tape Diagram):
Liam: 8 lbs
Maya:
8 8 8 8
\(= p\)
Equation & Solution:
\(8 \times 4 = p\) or \(4 \times 8 = p\) → \(p = 32\)
Misconception check: Watch for students who add \(8 + 4 = 12\).
Problem 2 Orchard Bushel Harvest
Answer: 27 bushels
Sample Visual Model (Tape Diagram):
Elena: 9 bu.
Marcus:
9 9 9
\(= b\)
Equation & Solution:
\(9 \times 3 = b\) or \(3 \times 9 = b\) → \(b = 27\)
Contrast prompt note: If 3 MORE, \(9 + 3 = 12\) bushels.
Problem 3 The Apple Cider Mill
Answer: 9 gallons
Sample Visual Model (Tape Diagram):
Thursday: ? (\(g\))
Saturday:
g g g g
\(= 36\text{ gal}\)
Equation & Solution:
\(4 \times g = 36\) or \(36 \div 4 = g\) → \(g = 9\)
Division unknown: Saturday is 4 times larger than Thursday.
Problem 4 Corn Maze Trails
Answer: 72 yards
Sample Visual Model (Tape Diagram):
Toddler: 12 yds
Mega:
12 12 12 12 12 12
\(= m\)
Equation & Solution:
\(12 \times 6 = m\) or \(6 \times 12 = m\) → \(m = 72\)
Multiplication check: \(12 \times 6 = 72\) yards.
Problem 5 Autumn Leaf Collection
Answer: 6 times as many
Sample Visual Model (Tape Diagram):
Noah: 7
Sophia: 7 • 7 • 7 • 7 • 7 • 7 = 42 (total)
Equation & Solution:
\(7 \times n = 42\) or \(42 \div 7 = n\) → \(n = 6\)
Multiplier unknown: Ensure label states “times as many”.
Harvest Comparisons Answer Key • Page 1 of 2
Harvest Comparisons • Answer Key & Guide • Problems 6–10 & Scoring Rubric
Standard 4.OA.A.2
Problem 6 Squirrel Acorn Stash
