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Math Methods and GACE Math/Science Review

Total questions: 38

Worksheet time: 21mins

Name
Class
Date
1.

Dylan is using manipulatives to solve a math problem. He is using a

a)

concrete method

b)

representational method

c)

abstract method

d)

none of these

2.

Logan goes home and shows his parents the following method for adding numbers: 4955 +1000 =59554955\ +1000\ =5955  

What is this method?

a)

concrete method

b)

representational method

c)

abstract method

d)

none of these

3.

Merritt and Grayleigh are playing on the walkway with sidewalk chalk. They each practice drawing hearts and stars and then count them. What method are they using?

a)

concrete method

b)

representational method

c)

abstract method

d)

none of these

4.

For what can math centers or stations be used?

a)

fun

b)

differentiation

c)

assessment

d)

all of these

5.

The key or keys to successful math centers...

a)

explicit instruction of the concept

b)

model the flow of movement

c)

set a timer

d)

all of these

6.

Students should always be grouped by ability in math centers.

a)

True

b)

False

7.

What are these called?

a)

base 10 blocks

b)

cubes

c)

toys

d)

math thingies

8.

These are called

a)

strips

b)

cubes

c)

rods

d)

blocks

9.

These are called

a)

rods

b)

cubes

c)

flats

d)

units

10.

This is called a

a)

rod

b)

cube

c)

flat

d)

block

11.

These are called

a)

rods

b)

blocks

c)

cubes

d)

units

12.

This is a

a)

number line

b)

equation table

c)

place value chart

13.

Which of these images demonstrate children using math?

a)

b)

c)

d)

all of these

14.

Which of these represent a model that exists for students working with fractions?

a)

area

e.g. 1/3 of a garden

b)

length

e.g. 4/5 of an inch

c)

set or quantity

e.g. 1/2 of class

d)

all of these

15.

2/3 and 4/6 are

a)

fractional subversives

b)

equivalent fractions

c)

non-equivalent fractions

16.

Which of these can impact a student in math class?

a)

attention

b)

inability to read

c)

self-esteem

d)

all of these

17.

Which of these represents area model?

a)

b)

c)

18.

Why is it critical for teachers to follow grade level standards?

a)

in order to get an end of year bonus

b)

so that the administrators will be happy with the test outcomes for the school

c)

in order to build on foundations from the previous year and prepare students for the next year

19.

A major conceptual achievement for elementary students is

a)

speed on multiplication facts

b)

rote counting to 100

c)

understanding part and whole relationships of numbers

20.

Number talks are an important group activity allowing

a)

students to share their methods with others

b)

teachers to show only one approach to a problem

c)

independent work while the teacher grades papers

21.

What are these critical math tools called?

a)

color coded charts

b)

graphic organizers

c)

games

22.

What are these shapes called?

a)

squares

b)

quadrilaterals

c)

trilaterals

d)

hexalaterals

23.

Ann is wallpapering the border of her living room. The room is 18ft in length and 12ft in width. Each roll costs $6.47, and NO partial rolls are sold. If each roll of border is 8ft long, what is the MINIMUM amount Ann can spend on rolls of border to complete the project?

a)

$45.29

b)

$51.76

c)

$103.50

d)

$174.69

24.

A school district bought $42,500 worth of computer equipment and agreed to pay $12,500 upon delivery and the remaining amount in equal monthly payments of $1500 each. Which of the following calculations can be used to determine the total number of monthly payments required?

a)

42,500-1,500

then divide by 12,500

b)

42,500-12,500

then divide by

1,500

c)

42,500 ÷\div  1,500

then subtract

12,500

d)

42,500 ÷\div  12,500

then subtract

1,500

25.

Which of the following is an example of a renewable resource used for energy production?

a)

uranium

b)

petroleum

c)

coal

d)

solar energy

26.

When was the idea that matter is made up of tiny, indivisible particles (later called atoms) first suggested?

a)

more than 2,000 years ago

b)

about 200 years ago

c)

about 100 years ago

d)

about 50 years ago

27.

Which of the following best describes a scientific hypothesis?

a)

It ensures that successful results will be obtained from an experiment.

b)

It must be accepted as true by the scientific community.

c)

It is a testable proposal that may lead to experimentation.

d)

It must be formulated by a renowned scientist.

28.

When a basic aqueous solution was mixed with an acidic aqueous solution, a neutral solution at 25 °\degree  C resulted. Which of the following could be the pH of the resulting solution?

a)

12

b)

7

c)

3

d)

0

29.

If a feather and two stones of different weights were dropped simultaneously from a height of ten feet in a vacuum, which of the following would be observed?

a)

Both stones would hit the ground at the same time, but they would hit before the feather.

b)

The heavier stone would hit the ground first.

c)

The lighter stone would hit the ground first.

d)

All three objects would hit the ground at the same time.

30.

Two campers want to bake potatoes in a fire. They wrap two identical potatoes in aluminum foil. One camper, however, sticks a large nail through her potato. Which of the following is most likely to happen after the potatoes are place in the fire?

a)

Both potatoes would cook at the same rate.

b)

Neither potato will cook because the foil will reflect the heat.

c)

The potato with the nail will cook faster because heat will be conducted into the potato.

d)

The potato with the nail will cook more slowly because the heat will be conducted out of the potato.

31.

In which THREE of the following is the structural unit correctly matched with an organ in which it may be found?

a)

neuron...brain

b)

nephron...kidney

c)

alveolus...lung

d)

cochlea...heart

32.

Homeostasis in a living organism is regulated by feedback. This process is most similar to which of the following?

a)

an electric light switch

b)

an escalator between floors in a store

c)

the thermostat on a central heating system

d)

the gas pedal on an automobile

33.

Which of the following types of biological molecules is called a double helix?

a)

protein

b)

fat

c)

carbohydrate

d)

DNA

34.

Earth's solid outermost layer is called the

a)

mantle.

b)

outer core.

c)

magnetosphere.

d)

crust.

35.

Numbered from top to bottom 1-4, which of these depicts the Moon as viewed from Earth at the FIRST QUARTER of the lunar cycle?

a)

1

b)

2

c)

3

d)

4

36.

Shooting stars that appear in the night sky are most likely to be

a)

particles of exploding stars.

b)

comets passing near Earth.

c)

meteors passing into Earth's atmosphere.

d)

northern or southern lights caused by magnetic storms on the Sun.

37.

Take number 1000 and then add 20 to it.

Now add 1000 one more time.

Now add 30.

Now add 1000 one more time.

Now add 40.

Now add 1000 one more time.

Now add 10.

What is the total?

a)

4000

b)

4,100

c)

4,300

d)

5,000

38.

If

1 = 6

2 = 12

3 = 18

4 = 24

5 = 30

Then 6 = ?

a)

36

b)

42

c)

1

d)

0