If students are stuck on this question, probe them to tell you how they knew how to draw stage 4. I can also create a third representation for someone who makes more money than Addy and Rachel. Partial Understanding 2 I can find the unit rate for only one relationship. There are many ways that you can use this self assessment. Nate has a special strategy to eat 4 hot dogs before the competition even begins to stretch out his stomach. Stage 4 has 9 blocks. 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.
If we think about going back from step 1 to step 0, we see that we have to take away three blocks, thus leaving us with -2 blocks. Graph all situations on the given graph on the next page. All ratios will reduced to 4 1. Highlight the unit rate on the graph together as a class. What is the rate of change in this problem? Give students a few more linear patterns and ask them to choose 1 that they write a rule for and connect their rule to the model. Fill in the boxes to show the relationship between girls and boys on Julie s team.
How many scoops of formula must Vanessa use to make 9 ounce bottle for her baby? They should be able to describe to you the components of a linear relationship. The rate of change is in both problems; however in Hillary s savings the initial value is 0 and in the landscaping problem, the initial value is While in Europe you proportionxl a shirt that you want to buy that is marked at 25 Euros.
Describe why Kelly s driving relationship is not proportional? State the rise and run for each staircase. In the picture below the rise is 3 units, and the run is 2 units. This chapter relies heavily on a student s knowledge about ratios and proportional relationships from 6 th and 7 th grade.
Staircase 3 Just like staircases, the measurement of the steepness of a line is also very important information.
By the end of this section, students should be able to: Describe what the graph of a linear pattern looks like.
Identify proportional relationships (practice) | Khan Academy
How deep should each step be? Upon returning home from Europe you have Euros left. The mouse is 8 inches away from her cheese. If there are 18 girls on the team then there are 6 boys on the team as well. Rate of change is investigated as students continue to rellationships the parameters m and b in context and advance their understanding of a linear relationship. Use the equation and graph to determine how many girls would be on the team if Julie chose 10 boys to be on the team.
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.
2.3j Class Activity: Use Dilations and Proportionality to Derive the Equation y = mx + b
Since Scoops of formula this is a proportional relationship the unit rate can be found by dividing any two points that fall on the line. Express the proportional constant as a unit rate.
Padma also sees that she can buy Tootsie Rolls at the grocery store. A Community Garden Context Gavin is relationsuips tomato plants to plant in his local community garden. Highlight the unit rate on the graph together as a class. She does not take out or put in any money into her account for 5 weeks. Vanessa is mixing homewor, for her baby. She scurries at a rate of -2 inches per second and reaches it after 4 seconds.
Both the stairs and the ramp will begin at the same place at ground level and end at the height of 3 feet. This means that the object is enlarged or reduced in ohmework. Describe how a linear pattern grows. I don t know how to write a rule for the pattern.
Creating the table forces the student to find the rate of change if they have not done so already. Measuring the Slope of Stairs and Ramps b Class work: Agatha and Fitz s relationships are both linear because they exhibit pro;ortional constant rate of change.
Proportional constant and unit rate have the same homewotk they are just different ways of interpreting the relationship between your quantities. Showing the rate of changes on a table this way is a difference column.
I know how to find the unit rate for both Callie and Jeff and state what the unit rate is describing. Story B 0, 4 4, 0 Rate of change: