Liberty EDUC530 Quiz Fractions, Decimals and Proportional Reasoning latest 2021 August

EDUC530 Teaching Mathematics

Quiz Fractions, Decimals and Proportional Reasoning

Question 1John was asked whether   or   was closer to  . Which of the following would be an accurate explanation?

is left of   and   is to the right of  . Since 3 and 4 are one unit apart, their average would be  , which would be halfway. So,   and   are the same distance from  .

is   from ½ which is equivalent to  .   is   from  , which is equivalent to  , so   is larger than  ,   is closer to  .

is equivalent to   and   is equivalent to  . Since   is equivalent to  ,   is closer to  .

is left of   and   is right of  .   is equivalent to 0.375 and   is equivalent to 0.47, so   is closer to  .

Question 2Compare   to  .  to .

 

 

 

 

Question 3One of the difficulties children have when naming decimal numbers is that:

they usually require more words than whole numbers.

they require that every place be named unlike whole numbers that are named in groups of three.

there is an asymmetry of names for place values when comparing numbers left and right of the decimal point.

there is no consistent way to remember the names of the place values.

Question 4In which of these pairs of numbers is 2.25 larger than the first number but smaller than the second number?

1 and 2

212212 and  8282

5454 and 114114

114114 and 3

Question 5A half-gallon of milk is poured into 16 equal-sized containers. Which of the following is true with respect to this statement?

This is an example of the partitive model.

This is an example of the repeated addition model.

This is an example of the measurement model.

The correct mathematical statement for this situation is ½ × 16.

Question 6The correct sequence when adding fractions is:

working with fractions with like denominators, then mixed numerals with unlike denominators, then fractions with like denominators.

working with fractions with unlike denominators, then working with fractions with like denominators, then working with mixed numerals.

working with fractions with unlike denominators, then working with mixed numerals with like denominators, then working with fractions with like denominators.

working with fractions with like denominators, then fractions with unlike denominators, then working with mixed numerals.

Question 7Two rectangles have similar shapes. The side lengths of one rectangle are 6 cm and 12 cm. The longer side of the second rectangle is 32 in. What is the length of the shorter side in the second rectangle?

26 in

16 in

16 cm

22 in

Question 8Which example below uses the meaning of ratio called ratio as an operator?

A box of toys contains 3 airplanes and 4 toy soldiers. The ratio of airplanes to toy soldiers is 3:4.

Traveling at 65 miles per hour can be written as 65:1.

A model airplane has a scale factor of 100:1 on the box. So, if the real airplane is 200 feet long, the model would be 2 feet long.

If it takes 4 eggs and 3 cups of flour to make a cake, this can be stated as a 4:3 ratio of eggs to flour.

Question 9π is a famous ratio relationship determined by:

the ratio of the diameter to the radius in a circle.

the ratio of the circumference to diameter in a circle.

the ratio of the circumference to the radius in a circle.

the ratio of the radius to the diameter in a circle.

Question 10How could the following problem be solved on a multiples table?

Two days out of every seven days are weekend days. How many weekend days are there in 56 days?  

Circle 2 and 5 and follow down the chart until finding to the corresponding numbers in the chart.

Circle 2 and 7 and follow down the chart until finding to the corresponding numbers in the chart.

Circle 2 and 8 and follow down the chart until finding to the corresponding numbers in the chart.

None of these options is correct.