Grade 6 Common Core Mathematics

Front 1

Positive and negative numbers are used together to describe quantities having ______ directions or values.

Back 1

Positive and negative numbers are used together to describe quantities having opposite directions or values.

Front 2

A reading of 5 degrees Celsius indicates that the temperature is _____ 0, while a reading of -5 degrees Celsius indicates that the temperature is ______ 0.

Back 2

A reading of 5 degrees Celsius indicates that the temperature is above 0, while a reading of -5 degrees Celsius indicates that the temperature is below 0.

Front 3

In the celsius temperature scale, 0 represents the point at which _______.

Back 3

In the celsius temperature scale, 0 represents the point at which water freezes.

Front 4

An altitude of -400 ft indicates that you are 400 ft _____ sea level, while an altitude of 400 ft indicates that you are 400 ft ________ sea level.

Back 4

An altitude of -400 ft indicates that you are 400 ft below sea level, while an altitude of 400 ft indicates that you are 400 ft above sea level.

Front 5

An altitude of 0 ft indicates that you are ________.

Back 5

An altitude of 0 ft indicates that you are at sea level.

Front 6

A rational number is a number that can be expressed as an _____ or a ______.

Back 6

A rational number is a number that can be expressed as an integer or a fraction.

Front 7

What types of numbers can be expressed as a point on the number line?

Back 7

Rational numbers (integers or fractions) can be expressed as a point on the number line.

Front 8

Draw a 4-quadrant coordinate plane that shows both positive and negative values from -10 to 10.

Back 8

Front 9

Label the quadrants I, II, III, and IV.

Back 9

Front 10

Draw and label a number line that shows both positive and negative values from -10 to 10.

Back 10

Front 11

Plot the following points: (2,3) (-2,3) (2,-3) (-2,-3)

Back 11

Front 12

Indicate the location of -3 on the number line.

Back 12

Front 13

Indicate the location of 5 1/2 on the number line.

Back 13

Front 14

Indicate the location of -7/2 on the number line.

Back 14

Front 15

Plot the following numbers on a number line. 4, -5/2 7, 9/2, -1, -6 What do you notice about these numbers?

Back 15

Numbers that have a negative sign are on the left of the zero point while numbers that do not have a negative sign are on the right of the zero point.

Front 16

What is the opposite of -5? Explain how you can show this on a number line.

Back 16

The opposite of -5 is 5. This can be shown on a number line because -5 is 5 units to the left of 0 on the number line, so its opposite must be 5 units to the right of 0 on the number line.

Front 17

What is the value of -(-4)? Explain how you found the value.

Back 17

The value is 4. I know this because it is the opposite of negative 4. The negative sign means the opposite of which ever number you are referring to, so in the case you are looking for the opposite of the opposite of 4. The opposite of the opposite of any number is itself.

Front 18

What is the opposite of 0? Explain.

Back 18

The opposite of 0 is 0. 0 is 0 units away from 0 on the number line in either directions, so it is its own opposite.

Front 19

In which quadrant lies the point (10, 3)? Explain.

Back 19

The point (10,3) lies in quadrant I because both coordinates are positive.

Front 20

In which quadrant lies the point (-5,6)? Explain.

Back 20

The point (-5,6) lies in quadrant II because the x coordinate is negative and the y coordinate is positive.

Front 21

In which quadrant lies the point (-7,-4)? Explain.

Back 21

The point (-7,-4) lies in quadrant III because both coordinates are negative.

Front 22

In which quadrant lies the point (1, -10)? Explain.

Back 22

The point (1, -10) lies in quadrant IV because the x coordinate is positive and the y coordinate is negative.

Front 23

Plot the points A (2,5) and B (-2,5). How are these points related?

Back 23

Point B is a reflection of point A over the y-axis.

Front 24

Plot the points A (2,5) and B (-2,-5).How are these points related?

Back 24

Point B is a reflection of point A over the y-axis and then over the x-axis.

Front 25

Plot the points A (2,5) and B (2,-5). How are these points related?

Back 25

Point B is a reflection of point A over the y-axis.

Front 26

Which point is located at (4,-8)?

Back 26

F

Front 27

Which point is located at (-2, -10)?

Back 27

E

Front 28

Which point is located at (-9/2, 2)?

Back 28

C

Front 29

Which point is located at (7 1/2, -2)?

Back 29

G

Front 30

Which point is located at (10, 6)?

Back 30

A

Front 31

Which point is located at (-8, 7)?

Back 31

B

Front 32

Which point is located at (-8 1/2, -5 1/2)?

Back 32

D

Front 33

-3 > -7 means that -3 is located to the ______ of -7 on the number line.

Back 33

-3 > -7 means that -3 is located to the right of -7 of the number line.

Front 34

-5 < 7 means that -5 is located to the ______ of 7 on the number line.

Back 34

-5 < 7 means that -5 is located to the left of 7 on the number line.

Front 35

0 > -5 means that 0 is located to the ______ of -5 on the number line.

Back 35

0 > -5 means that 0 is located to the right of -5 on the number line.

Front 36

Show that -2 degrees Celsius is warmer than -15 degrees Celsius using an inequality statement.

Back 36

-2 degrees C > -15 degrees C

Front 37

Interpret this statement of inequality regarding alititude. 30 ft > -240 ft

Back 37

An altitude of 30 ft is higher than an altitude of -240 ft. (Student also might mention that altitude of 30 ft is above sea level and -240 ft is below sea level.)

Front 38

The absolute value of a rational number is equal to its ______________ on the number line.

Back 38

The absolute value of a rational number is equal to its distance from zero on the number line.

Front 39

What is the absolute value of -4?

Back 39

4

Front 40

|45| = ?

Back 40

|45| = 45

Front 41

-|5| = ?

Back 41

-|5| = -5

Front 42

What is the opposite of the absolute value of 2?

Back 42

-2

Front 43

-|-3| = ?

Back 43

-|-3| = -3

Front 44

Describe the debt for a bank account with a balance of -30 dollars using absolute value.

Back 44

|-30| = 30. The debt is 30 dollars.

Front 45

Describe the distance from sea level for an altitude of -22 ft using absolute value.

Back 45

|-22| = 22. The altitude is 22 ft away from sea level. (Student may describe altitude as below sea level)

Front 46

A student is in $450.00 of debt and her roommate is in $276.00 of debt. Who owes more money? Show this with an inequality statement.

Back 46

The student in $450.00 of debt owes more money. |-$450| > |-$276|

Front 47

An altitude less than -50 feet represents a distance away from sea level that is (greater than, less than) 50 feet.

Back 47

An altitude less than -50 feet represents a distance away from sea level that is greater than 50 feet.

Front 48

How far is it in Blocks from home to the playground?

Back 48

9 Blocks

Front 49

How far is it in Blocks from the library to the pizzeria?

Back 49

17 Blocks

Front 50

This morning, I left home and walked to school. After school, I walked to the bookstore. How far did I walk altogether?

Back 50

14 Blocks

Front 51

Bus Route 1 starts at the bus stop and goes to the library first while Bus Route 2 goes to the playground first. Which bus travels further to go to its first stop?

Back 51

Bus Route 2 travels further to go to its first stop.