Unit 2: Linear Functions
At the end of Unit 2, you will be able to (Do) …
C3PI1: Convert between representations (algebraically, graphically, numerically in tables, or by verbal descriptions).
C3PI3: Determine, interpret, compare and contrast key features of functions.
- Use m and b to graph a linear equation. (A-CED.A.2)
- Write an equation and/or interpret slope and y-intercept from a graph that displays the y-intercept, a table that includes the y-intercept, a tile pattern, or a context. (A-CED.A.2, F-IF.B.4)
- Identify the slope and y-intercept from an equation. (A-CED.A.2)
- Calculate the slope from a table without a y-intercept. ( F-IF.B.4)
- Understand slope as a rate. (F-IF.B.6)
- Determine the slope or write the equation of a perpendicular line. (G-GPE.B.5)
- Calculate the area of a rectangle or triangle on a coordinate grid (one side is along a horizontal or vertical grid line). (G-GPE.B.5)
- Rewrite expressions by multiplying binomials and polynomials, and use the Distributive Property. (A-APR.A.1)
- Evaluate expressions using order of operations. (Checkpoint 2)
C3PI1: Convert between representations (algebraically, graphically, numerically in tables, or by verbal descriptions).
C3PI3: Determine, interpret, compare and contrast key features of functions.
Unit Outline
Section 2.1 You will connect the number of tiles in Figure 0 and growth in geometric tile patterns with the slope and y‑intercept on a graph. You will learn how to measure the steepness of a line on a graph. You will also study the differences between lines that point upward, lines that point downward, and lines that are horizontal or vertical.
Section 2.2 You will investigate situations in which slope represents speed in an everyday situation, culminating in an activity called “The Big Race”. You will also look at how slope represents rate of change in situations that do not involve motion.
Section 2.3 You will complete a multiple representations web so that you can determine the slope and y‑intercept in various representations, and can convert readily between them. In particular, you will develop an algebraic method for writing the equation of a line when given only two points on the line.
Section 2.1 You will connect the number of tiles in Figure 0 and growth in geometric tile patterns with the slope and y‑intercept on a graph. You will learn how to measure the steepness of a line on a graph. You will also study the differences between lines that point upward, lines that point downward, and lines that are horizontal or vertical.
Section 2.2 You will investigate situations in which slope represents speed in an everyday situation, culminating in an activity called “The Big Race”. You will also look at how slope represents rate of change in situations that do not involve motion.
Section 2.3 You will complete a multiple representations web so that you can determine the slope and y‑intercept in various representations, and can convert readily between them. In particular, you will develop an algebraic method for writing the equation of a line when given only two points on the line.
Sunday |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
Sept 16 |
17 |
18 Growth in linear functions |
19 Growth in linear functions |
20 Comparing delta x and delta y Discussion question due |
21 Comparing delta x and delta y HW due: problem 1-72, 1-83, 2-19 |
22 |
23 |
24 Slope |
25 y= mx+b |
26 Rate of Change Quiz |
27 Rate of Change Discussion question due |
28 Equations of Lines HW due: problem 2-30, 2-31, 2-43, 2-44 TEASLEY ABSENT |
29 |
30 |
Oct 1 Equations of Lines TEASLEY ABSENT |
2 Equations of Lines |
3 Writing Equation of a line Quiz |
4 Writing Equation of a line Discussion question due |
5 Writing Equation between two points HW due: problem 2-58, 2-63, 2-66, 2-67 |
6 |
7 |
8 Slopes of parallel and perpendicular lines |
9 Slopes of parallel and perpendicular lines TEASLEY ABSENT |
10 Line of best fit TEASLEY ABSENT |
11 Equations of Lines Practice |
12 Equations of Lines Practice |
13 |
14 |
15 Unit Review |
16 Competency Check #2 |
17 Multiplying polynomials and the distributive property |
18 Modeling perimeter and area |
19 Modeling perimeter and area |