Math Chapter 8-12

At what temperature do the Fahrenheit and Celsius scales coincide?

-40 degrees

Pick the best answer: The air temperature is 303 K, what is the temperature in degrees Celsius?

30 degrees C explain: The convert from Kelvin to degrees Celsius, you use the conversion factor TC = TK - 273.15. TC = 303K - 273.15 = 30 degrees C (2 significant figures)

Convert 5,300 km into m. Use 1,000 m/km as your conversion factor.

5,300,000 m

Suppose a construction crew is trying to build a bridge across a lake. They are trying to figure out how long the bridge will be, and they were able to take the measurements shown, where x is the length of the bridge they want to build. ΔADF is similar to ΔBCE. Use this information to find the length the bridge will be.

53.3 feet explain: x / 40 = 32 / 24 Cross multiply. 24x = 40⋅32 Simplify. 24x = 1280 Divide both sides by 24. x ≈ 53.3

All of the students in Jasmine's class have had their height measured. Jasmine is the 12th tallest person out of 560 students. What percentile is Jasmine's height in?

98th

What is a learning disability?

A disparity between overall intelligence and learning

Which of the following best describes a frequency distribution?

A list of how often items occur

Which of the following should a teacher NOT do if hoping to teach math according to the Common Core?

A teacher should rely only on computation.

After a student solves a problem, he is able to justify his solution by demonstrating the logic behind his thinking with manipulatives. What type of reasoning is he using?

Adaptive reasoning: is the ability to justify solutions with evidence.

Which of the following is a histogram also known by?

Bar graph

A cube with an edge of 20 cm is filled with water. How can we determine if the amount of water would fit in a sphere with a 20 cm radius?

Find the volume of both objects

Which goal is written using the 5 W's organizational format for writing high school IEP math goals?

Guy will measure an angle of a triangle using a protractor and other tools with 90% accuracy across five trials.

Which of the following activities is a best practice when teaching a new math concept?

Have students practice just a few problems, but approach the problem several ways.

Which of the following is NOT a way that verbalizing mental processes is helpful for mental math?

It gives students practice keeping everything in their head at all times

Which of the following is the metric unit for mass?

Kilograms

Which of the following is the metric unit for volume?

Liters

Which of the following strands of mathematic proficiency was most celebrated in a traditional classroom (but is falling out of favor today)?

Procedural fluency

Which of the following is a management strategy that supports a differentiated math classroom?

Rescue card

When a shape moves from the (0,0) point it is a

Rotation

Which is NOT a benefit of collaboratively designing common assessments?

Standardizes the way teachers deliver curriculum

Which one of the following scenarios shows that a team is focused on establishing IEP math goals natural to a high school student's environment?

Sue works on a measurement goal in her consumer science class and with her family. Data is taken when she measures for recipes and sewing and reads the daily temperature. Explain: Aligning IEP math goals for high school students in the most natural and real setting possible can increase success. The example that offers the MOST natural setting is Sue's because she is not only learning measurement skills but also applying them in real-life situations.

Which item cannot be considered an assistive technology device?

Surgically implanted devices do not fall under the category of assistive technology.

What are the three ways teachers can differentiate their instruction?

Teachers can differentiate by content, product, or process.

Calculate the mean number of medals won during these Olympic Games. (Round it to the nearest whole number.)

To calculate the mean, add all four medal counts and then divide by 4. 20 + 47 + 239 + 47 = 353 353 / 4 = 88.25

When might you allow a student to use a calculator for math?

When the purpose of the assignment is conceptual Explain: If your goal on an assignment is for students to grow conceptually, allowing them to work with calculators can help take the pressure off and help with computation so that their mental energy is reserved for deeper understanding.

Is direct instruction useful for teaching mental math?

Yes, because students won't always necessarily use the most efficient technique

If you've fallen 5000 feet and reached a terminal velocity of 400 feet per second, how would you calculate the time it would take to fall another 5000 feet?

divide the 5000 feet by the 400 feet per second velocity Explain: One you reach a terminal velocity, you will fall at a steady rate. If you're falling at a constant velocity, time falling may be calculated using distance/speed. Divide the 5000 feet by the 400 feet/second rate at which you're falling.

One great way to better understand students' learning styles in math is to _____.

let them use their own way to solve a problem

A two-dimensional figure has four equal sides but none of the angles are 90o. This figure is possibly a _____.

rhombus

Visuals and manipulatives benefit diverse student populations because _____.

they support multiple learning styles