You may wish to select a few patterns and present them to the class or post them in the room and have students write a rule and connect their rule to the pattern as they did in section 2. A baby was 9 feet from the edge of the porch. Finding Slope from a Context h Class Activity: Constant ratio is y x or 2 1 8WB The ground would be an elevation of 0 so if you plug 0 into your equation for y and solve for x you will get 6 miles.
The mouse scurries away from the piece of cheese at a rate of 2 inches per second. The cat was 12 feet away from the milk and ran away from it at a rate of 4 feet per second. Michael took you, the two other students, and the coffee with spit in it to Mrs. Both girls are driving 60 mph. Essay on the role of the witches in macbeth The notes include prompts and questions during instruction that lead to conceptual understanding. The instructions for this assignment are very detailed. For a better experience, please download the original document and view it in the native application on your computer.
That it is in fact a special linear relationship. It is okay if you do not use the formal term of Slope-Intercept Form.
Renting the pavilion at the park for 3 hours costs 75 cents. Explain how to use the equation to determine how many weeks hmoework pass until Linda runs out of balls.
2.3j Class Activity: Use Dilations and Proportionality to Derive the Equation y = mx + b
Find and describe the unit rate for Don s smoothie. The slope of a line describes how steep it is.
This is not the focus of this lesson but you can discuss this if you feel it is appropriate. Students connect their rules to the geometric model and begin to surface ideas about the rate of change and initial value starting point in a linear relationship.
The greater the ratio the steeper the line.
What is the price per pound for the mangos that she bought? Provide students with graph paper; be sure to review the instructions together as a class to ensure What is the total distance clarity.
If you want to discuss a negative slope on number 10 you can. Later on they are asked to make their own graphs and must use the correct units and labels to communicate their thinking. Complete the table and graph to show how much money Hillary will have 2.a2 weeks from now. Getting into a pattern will help your researching diabetes. Consider the relationship between time in hours and amount of gas remaining in the tank.
Even if they write the initial value or y-intercept first they can step back and look at an overview of the general form of the equation and shift their perspective to see that the order in which you write your slope and initial value does not matter. Patrern Slope from Two Points e Homework: For the pattern given below find the number of blocks in the next stage by determining the rate of change.
Have them explain how you can see that Kelly lives 80 miles closer to camp than Grace, but they both travel at the same rate. Ask students to interpret what it means if the line is going up and if the line is going down. In addition, they begin to make conjectures about how slope can be found from any two points on the line.
a homework connect the rule to the pattern. best website to write essay
I can make a graph that show s Jeff s savings but I don t know how it relates to the other graph. Students continue to use linear patterns and identify the rate of change and initial value in the different representations of a linear pattern table, graph, equation, and geometric model. Analyze the graph to determine which girl is traveling faster. Complete the table that shows the amount of money that Fitz makes for selling up to three bags of popcorn.
2.2a homework connect the rule to the pattern
Substantial Mastery 4 I know how to find the rate of change in all the representations. How are your triangles the same?
I can write a rule that describes the pattern and explain how my rule connects to the pattern. You may also wish to have the hhe write the equation for the horizontal piece comnect the graph with this change, touching on piece-wise functions which students will learn more about in Secondary I and II.
Create patetrn sixth activity in column f on page What is the rate of change in this problem? The line would be shifted down two units. Find the ratio of white to pink for several different ordered pairs in the table.
Carmen is making homemade root beer for an upcoming charity fundraiser. Compare the points that you chose and your triangle with someone in your class.