enVision Mathematics Grade 5, Topic 15: Algebra: Analyze Patterns and Relationships
In this unit, your child builds two number patterns side by side from two rules, such as add 3 and add 6, both starting at 0. They look for how the terms relate, here each second term being double its partner, then write the pairs as ordered pairs and graph them. It uses the coordinate plane just learned and comes before classifying shapes.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Topic 15?
- Generating two patterns from two rules, comparing corresponding terms, and graphing the pairs as ordered pairs like (3, 6). Learn more: Comparing two number patterns on a grid
Sample questions to try together
These are real questions from our practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Ana and Luis both start with $0. Each week, Ana saves $5 and Luis saves $10. When Ana has $15, how much does Luis have?
- $25
- $40
- $30
How you can help
- Compare two savings plans with your child: one saves $2 a week, another $6. Make two lists from $0 and ask how the matching amounts relate, always 3 times as much.
- Count stairs together, one step at a time and two at a time, starting at 0. Write the two lists side by side and ask what your child notices about each pair.
- Turn two patterns into points: from add 4 and add 8, write pairs like (4, 8) and (8, 16). Plot them on graph paper and ask what the points line up to make.
Where kids can get stuck
- Looking down one list only, spotting “add 3” but not how each term relates to its partner.
- Swapping the order in an ordered pair, so they plot (6, 3) instead of (3, 6).
- Starting the second pattern at the wrong number, so the two lists no longer line up term by term.
Practice makes perfect
Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.
Words your child will hear
- pattern
- Numbers that change in a steady, predictable way.
- rule
- What you do to get from one number in a pattern to the next.
- term
- One number in a pattern.
- corresponding terms
- Matching partners from two patterns, paired up to compare or graph.
- ordered pair
- A pair like (6, 2) that says how far across, then how far up.
- graph
- A picture of data, like points plotted on a grid.
Want to help your child master number patterns?
In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.
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Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
Which math standards does enVision Mathematics Grade 5 Topic 15 cover?
enVision Mathematics Grade 5 Topic 15 covers this math standard. Each one links to what it means, sample questions, and teaching strategies.
- 5.OA.B.3: Make two number patterns from two rules, and compare them.
For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.