Warm-Up 1
Math 1 Summer Bridge
Day 9: Data and Modeling
Use graphs, tables, and equations to describe real-world data.
Student Goal
I can interpret data patterns and choose a reasonable model.
Why It Matters
Math 1 uses models to make predictions and explain relationships in real situations.
Warm-Up
Warm-Up 2
In y = 12x + 30, what does 12 usually represent in a model?
Short Lesson
Standard Focus
NC.M1.S-ID.6 and NC.M1.S-ID.7: Modeling data with functions
Student-Friendly Standard Goal
I can fit and interpret simple models for data shown in tables or scatter plots.
- A model is a math representation that describes a pattern.
- Scatter plots show relationships between two numerical quantities.
- A line of best fit can summarize a roughly linear pattern.
- Slope and intercept should be interpreted in the context of the situation.
Guided Examples
Guided Example 1
Interpret a Line of Best Fit
A model for study time and score is s = 6h + 72, where h is hours studied.
Step 1
s = 6h + 72
What does the slope mean?
Guided Example 2
Choose a Reasonable Model
A plant's height is 4, 7, 10, and 13 inches over four equal time intervals.
Step 1
4, 7, 10, 13
What pattern do the heights show?
Practice
Problem 1
A line of best fit has equation y = -3x + 50. What does the negative slope suggest?
Problem 2
Use y = 4x + 9 to predict y when x = 5.
Problem 3
Which association is shown when points trend downward from left to right?
Problem 4
Error analysis: A student says the y-intercept always has to be realistic. What is better thinking?
Problem 5
True or false: Models can be useful even when they are not perfect.
Reflection
How are you feeling about today's skill?
Optional reflection: What is one step, word, or representation from today that you want to remember when Math 1 starts?