Focus Vocabulary Definitions for the Week
ratio – a multiplicative comparison between two quantities. It can be represented as a:b, a to b, or a/b.
unit – a quantity used as a standard of measurement.
rate – the ratio of two different measurements with different units
unit rate – a ratio that indicates how many units of one quantity there are for every one unit of the second quantity (e.g., miles per hour, price per pound, students per class, heartbeats per minute)
origin (on a graph) – the point where the x- and y-axes intersect.
y-intercept – a point of the graph that intersects the y-axis.
proportional relationship – a relationship between two quantities in which the two quantities vary directly with each other.
Monday:
Big Rocks: I can write ratios for given quantities and determine their unit rate.
Tutorial Videos:
What is a Ratio?
Virtual Nerd: Rates and Unit rates
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Bell Ringer:
1. Sally baked 2 batches of cookies in 1/4 of an hour. How many batches of cookies can she bake in one hour?
2. John completed 1/5 of a worksheet in 1/4 of an hour. How much of the worksheet will she have completed in one hour?
3. Maggie had 28 biscuits. She put an equal number of these biscuits on 3 plates and had 1 biscuit left over. The equation below can be used to find b, the number of biscuits on each plate.
How many biscuits did Maggie put on each plate?
Classwork:
- Discovery Ed Unit Opener
- Guided Notes
- Check for Understanding-Ratios, Rates and Unit Rates (1-6)
Homework: Remember to do 40 minutes of MobyMax each week.
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- A Ratio: This is comparison of two quantities.
A ratio can be written three ways:
Example: For every 3 boys there are 5 girls in the grade.
3 to 5 or 3:5 or 3/5
- A Rate compares quantities measured in different units.
Example: I drove 350 miles on 70 gallons of gas. The rate is:
350 miles
70 gallons
- A rate is not necessarily useful in that form, sometimes it is more useful to find a unit rate. Unit means one. So, a unit rate is the rate of one unit of a given quantity.
For example: The unit rate of 350 miles = 5 miles
70 gallons 1 gallon
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Tuesday:
Big Rocks: I can compose ratios for given situations.
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Bell Ringer: Math Minute 11
Classwork:
- Students will work on Ratio of Body Parts on Discovery Ed.
- Check for Understanding-Discovery Ed techbook-Investigate Ratios and Rates/ How fast can you text activity
- Exit Ticket:
- If the temperature is raising 1/4 of a degree each 1/2 hour, what is the increase in temperature expressed as a unit rate?
- Elizabeth and Drew ride their bikes at a steady pace. Elizabeth rides 8 miles in 32 minutes. Drew rides 2 miles in 10 minutes. Who rides faster?
Homework: Remember to do 40 minutes of MobyMax each week.
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Wednesday:
Big Rocks: I can write ratios for given situations.
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Bell Ringer: Math Minute 12
Classwork:
- Students will complete Investigation 3-Finding Unit Rates with Fractions
- Finish--Check for Understanding-Discovery Ed techbook-Investigate Ratios and Rates/ How fast can you text activity
Homework:Remember to do 40 minutes of MobyMax each week.
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Thursday:
Big Rocks: I can solve problems using unit rates.
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Bell Ringer:
1. Anita works for a dog-walking service. She earns $10 plus $2 for each dog she walks. She calculates her earnings by using the equation P = 2N + 10, where P is the total pay in dollars, and N is the number of dogs she walks. If Anita wants to earns at least $40, what is the minimum number of dogs she must walk?
2. Janis paid a total of $260 to purchase 20 music CDs. Each CD was the same price. The total cost included a shipping and handling fee of $20. What was the price of one CD?
3. Graph the solutions on a number line for 9 - 2x < 21.
Classwork: Discovery Ed Investigation 3 Check for Understanding/ Glencoe textbook Problem Solving worksheet
Homework:Remember to do 40 minutes of MobyMax each week.
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Friday:
Big Rocks: I can solve problems involving ratios, rates and unit rates.
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Bell Ringer: https://b.socrative.com/login/student/
Rutherford811
Classwork:
Homework:Remember to do 40 minutes of MobyMax each week.
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1. Kim has $250 to spend on a rental car for her trip. The rental car company charges a fee of $130 plus $0.10 per mile. Kim used the inequality to calculate the maximum number of miles, m, she could drive the rental car.
Which inequality expresses the maximum number of miles Kim can drive the car?
2. Jacob went on a fishing trip. This year he caught 30 fish, which is six more than twice the number he caught last year. How many fish did Jacob catch last year?
3. What are all possible values of x when
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