SME
Grade 4 Math · Problem type
Number patterns
Use this for “Start at 3 and add 5 each time: 3, 8, 13, … What is the 5th number?”
Diagram
3, 8, 13, 18, 23
Start: 3
Add each time: 5
Jumps: 4
Term: 23
This is an example. Type your own values to start a new problem.
Start
+
Jumps
×
Add each time
=
Term
Formulas
3 + 4 × 5 = 23
Start + jumps × add each time = term
Assumptions
•
A pattern starts at a number and adds the same amount at each jump.
•
Adding an odd number makes odd and even terms take turns.
•
Adding an even number keeps them all odd or all even.
Step-by-step
WE KNOW
Start: 3
Add each time: 5
Jumps: 4
FIND
term
Step 1 · Find term
3 + 4 × 5 = ?
Start + jumps × add each time = term
Multiply the jumps by the amount added, then add the start.
4 × 5 = 20
3 + 20 = 23
Term = 23 (adding an odd number: odd and even take turns)
Check
Put the numbers back in. Both sides should match.
3 + 4 × 5 = 23 ✓
Topic check
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Related lessons
Factors, multiples and patterns
Main lesson
Identify multiples
Use this for “Is 27 a multiple of 4?” or “Is 40 a multiple of 8?”
Number patterns: find the rule
Use this for “What comes next? Write the rule” when a pattern adds, multiplies or takes turns between two steps.
Prime and composite numbers
Use this to sort numbers as prime or composite by their factors.
Shape patterns
Use this for “Circle, square, triangle, circle, square, … What is the 10th shape?”