Creative Guide to Making Linear Equations Foldable for Math Learning

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Dive into the world of linear equations with this step-by-step guide on creating a visually appealing and educational foldable. Learn about definitions, slopes, point-slope form, intercepts, graphs, and more. Perfect for math enthusiasts looking to enhance their understanding in a fun and interactive way.

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Uploaded on Apr 19, 2025 | 0 Views

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06.13.2018 Linear Equations https://www.youtube.com/watch?v=75m60SxFfJg https://www.youtube.com/watch?v=9MPUSWUya YU

LINEAR EQUATIONS FOLDABLE

To make your foldable: 1. Stack four or five sheets of colored paper together, placing each consecutive sheet around of an inch higher than the sheet in front of it.

2. Fold your stack of papers making your edges of all the layers the same distance apart (3/4 in). Align the sides.

3. Once you have all the tabs equal distance, and the sides are aligned, fold the stack and crease the fold well.

4. Staple, or glue, the pages together at the crease to create your booklet. HINT 1: Don t use too much glue. This will cause your pages to stick together. HINT 2: Staple the crease if possible.

Title Page Put a title on the top tab. ( Linear Equations) By (Your Name)

Tabs The following are a list of the names for each of the tabs. Write these on the tabs so that you can find the information you need quickly. 1. Definitions 2. Slope 3. Point-slope form a line 4. Slope-intercept form 5. Solving for x and y intercepts 6. Finding slope: Table 7. Graph a Line: Two points & Writing the equation of

Definitions Linear Equation Any equation whose graph is a line Coordinate Pair A location given in (x,y) format Function Every x value has one y value y-intercept Point where x = 0 - The point where the line crosses the y axis Rate of Change The change between two points.

Slope A ratio (fraction) that describes the tilt of a line. rise m run y x y x y x = = = 2 1 2 1 Example: Two points (0,6) and (1,4)

Point-slope form = ( ) y y m x x 1 1 x & y are coordinates on the line y1 & x1 are coordinates of the given point. m is the slope Example: Given two points (0, 6) and (1,4) Slope = (4-6) /(1-0)= -2 So, slope intercept form is y-6=-2(x-0)

Slope-intercept form = + y x & y are coordinates on the line m is the slope of the line b is the y-intercept Example: m=-2 y-intercept = 6 S0 slope-intercept form is y=- 2x+6 mx b

Solving for x and y intercepts 2x +y=6 x-intercept- make y=0 2x+0=6 divide both sides by 2 x=3 so x intercept is (3,0) y-intercept 2(0) +y=6 y=6 so y-intercept is (0,6)

Slope=rate of change x 0 1 3 4 y 6 4 0 -2 -2 +1 -4 +2 +1 -2 1. Find the change in consecutive pairs. 2. Write the changes as a slope. 3. If the changes are the same, this is the slope and this is the rate of change Slope = -2/1 or -2

Writing the Equation of a Line 1. Find the slope for the line. 2. Find the y-intercept 3. Write the equation in slope-intercept form.

Graph the line Step 1: Put the equation in Slope Intercept Form. Step 2: Graph the y-intercept point (the number in the b position) on the y-axis. ... Step 3: From the point plotted on the y-axis, use the slope to find your second point. ... Step 4: Draw your line using the two points you plotted (y-intercept (b) first, slope (m) second.