Find the common difference.
Look for the amount added or subtracted from one term to the next.
Back to Math 1 Weekly Support
Week 3 Overview
Week 3
Linear Functions & Sequences
- Student-Friendly Goal
- I can represent arithmetic sequences using recursive and explicit formulas and use slope properties to identify parallel and perpendicular lines.
- Major Skills
- Representing sequences using explicit and recursive formulas, determining slopes of parallel and perpendicular lines, and connecting sequences to linear functions.
- NC Math 1 Standards
- NC.M1.F-BF.2, NC.M1.F-LE.2, NC.M1.G-GPE.5.
This week bridges work with linear functions to sequences and coordinate geometry, focusing on pattern growth and line behavior on a coordinate plane.
Start Here
What to Look For This Week
Test the formula.
Use a known term, especially n=1, to check whether your rule works.
Compare slopes first.
Parallel lines have the same slope. Perpendicular slopes multiply to -1.
Connect sequence and line rules.
The common difference works like slope, and the extended 0th term helps find the y-intercept.
Choose a Day
Week 3 Daily Practice
Start here
Monday - Skill Check: What Do You Know Already?
Review prerequisite skills for sequences and coordinate geometry.
Available nowTuesday - Learn & Practice: Arithmetic Sequences
Write recursive and explicit rules for arithmetic sequences.
Available nowWednesday - Build the Skill: Parallel & Perpendicular Lines
Use slope properties to classify and write lines.
Available nowThursday - Apply & Connect
Connect arithmetic sequences to related linear equations.
Available nowFriday - Mixed Wrap-Up
Use the week's sequence and slope skills together.