4th grade · Math · Unit 6 of 12
Patterns & Tables
Growing and shrinking patterns
What your child practices
Extending increasing and decreasing number patterns, naming pattern rules, finding rules in input/output tables, and describing how two quantities are related.
Minnesota K-12 Academic Standards benchmark: 4.3.7.3; 4.3.7.1 · making patterns that follow a rule, and writing a rule for a pattern
How we explain it
Children can open this short lesson before they practice.
- A table lists each step and its number.
- Find how much the numbers change each step.
- Use that rule to carry on the pattern.
Example: A pattern starts at 4 and adds 3 each time. What is the 5th number? 4, 7, 10, 13, 16. The 5th number is 16. Answer: 16
Patterns & Tables in Minnesota
In the Minnesota K-12 Academic Standards, this is unit 6 of 12 in 4th grade Math, after Decimals and before Equations.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What is the pattern rule?
207, 222, 237, 252
- Start at 207. Add 15 each time.
- Start at 207. Add 16 each time.
- Start at 207. Subtract 15 each time.
- Start at 222. Add 15 each time.
Start at 207. Add 15 each time.
Hint: A pattern rule tells the first number and how it changes. 207 to 222 goes up by 15.
Question 2
Priya reads the same number of pages every day. How many pages will be left after day 5?
Day Pages left 0 60 1 51 2 42 3 33 - 24
- 6
- 15
- 33
15
Hint: The number goes down by 9 each day. Keep subtracting 9 until you reach day 5.
Question 3
What number is missing?
19, , 169, 244, 319
- 94
- 95
- 84
- 104
94
Hint: The pattern goes up by 75 each time. 19 + 75 = 94.
Question 4
For every 1 carton, there are 12 eggs. How many eggs are there for 12 cartons?
🥚answer box
144
Hint: Each carton adds 12 eggs. Multiply: 12 × 12.
Question 5
How many fingers are there for 6 hands?
Hands Fingers 1 5 2 10 3 15 4 20 answer box
30
Hint: The fingers are always 5 times the hands. Multiply 6 × 5.
Question 6
What number comes next?
445, 430, 415, 400,
- 370
- 395
- 415
- 385
385
Hint: Find the change from one number to the next: 445 to 430 is −15. Do the same to 400.