Mississippi Math FA.F.26
The Standard
Perform simple translations on linear functions given in a variety of forms (e.g., two points, a graph, a table of values, a mapping, slope-intercept form, or standard form). Explain the impact on the parent function when the slope is greater than one or less than one, and the effect of increasing/decreasing the y-intercept.
2025 Mississippi College- and Career-Readiness Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students move a line left, right, up, or down when given two points, a graph, a table, a mapping, or an equation. They give the new points or rule and compare its slope and y-intercept with y=x.
What Mastery Looks Like
- Given (0,1) and (2,5), a student can shift both points right 3 and write y=2x-5. They can explain why the slope stays at 2, why that line is steeper than y=x, and why its y-intercept changes.
Common Misconceptions
- Students may change the slope when shifting a line or change y-values when told to shift right. Some think only an up or down shift changes the y-intercept. Others call every slope below 1 flatter, including -2.
How to Assess It
- Exit ticket: Shift the line through (0,1) and (2,5) right 3 and up 2. Give the new points and equation, then compare its slope and y-intercept with the original line and y=x.
Lesson moves
Ways to Teach It
Place counters at (0,1) and (2,3) on a coordinate grid, slide both two squares right, and draw the new line.
Compare y=x, y=3x+2, and y=0.5x-1: Which rises fastest, and where does each cross the y-axis?
Give pairs the equation 2x-y=1; award a point when they write the equation after shifting its graph up 3 units.
Graph taxi fares of $4 plus $2 per mile and $6 plus $2 per mile; compare their slopes and intercepts.
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