5.1.F
Math5th Grade
The Standard
analyze mathematical relationships to connect and communicate mathematical ideas
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify how quantities or representations are related. They describe the relationship with words, numbers, tables, diagrams, graphs, or equations and explain why the forms match.
What Mastery Looks Like
- Students can find a consistent rule, predict a missing value, and support the rule with evidence. They can move between a situation, table, diagram, graph, and equation without changing the relationship.
Common Misconceptions
- Students may choose a rule that fits one number pair but not every pair, or confuse additive and multiplicative patterns. They may label representations as matching without explaining which values or operations connect them.
How to Assess It
- Exit ticket: A table has inputs 1, 2, 3, 4 and outputs 5, 8, 11, 14. State the rule, predict the output for 10, and use two pairs to explain the connection.
Lesson moves
Ways to Teach It
Build growing staircases with square tiles, record figure number and tile count, then explain the pattern to a partner.
Display a table and matching diagram, then ask, “What stays the same, what changes, and how do these representations connect?”
Play a card match with situation, table, rule, and graph cards, requiring students to justify every completed set.
Price identical $3 notebooks, make a quantity-cost table, and explain how the table helps predict the cost of 12 notebooks.
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