math

-0.01

-0.03+0.02

-0.05

-0.04+-0.01

-0.3

-0.1-0.2

-0.18

-0.3+0.12

0.202

0.2+0.002

0.54

0.2+0.03+0.31

5/11

0.4545...

0.02

0.5 x 0.04 =

0.3

0.5-0.2

-0.17

0.5-0.65-0.02

-0.42

0.5-0.92

1/2

0.50; 50%

2/4

0.50; 50%

4/8

0.50; 50%

5/10

0.50; 50%

1.03

0.8+0.23

4/5

0.80; 80%

1.21

1.1 × 1.1

13.5

1.2 +12.3

0.18

1.26 - 1.08

25.895

1.295 + 24.6

1.95

1.3 × 1.5

6.55 ÷ 5

1.31

1.5 × 0.9

1.35

16.2 ÷ 12

1.35

7.55 ÷ 5

1.51

6.4 ÷ 4

1.6

4.217

1.937 + 2.28

2/4 - 4/10

1/10

7/100 + 3/100

1/10

3/4 - 2/3

1/12

1/4 + 1/4

1/2

5/6

1/2 + 1/3=

3/4

1/2 + 1/4 =

1

1/2 + 2/4 =

simplest form of 7/14

1/2 is the simplest form since the numerator and denominator do not share common factors

1/2 - 1/4

1/4

11/12

1/4 + 2/3=

3/4

1/4 + 2/4=

1/2

1/4 + 2/8 =

7/10 - 1/2

1/5

14 + 18 x 5 - 1 - 1

102

5 x 18 + 18 - 6

102

18 x 5 - 1 + 18

107

deci-

10^-1

pico-

10^-12

centi-

10^-2

milli-

10^-3

micro-

10^-6

nano-

10^-9

deca -

10^1

hecto-

10^2

15 +7 x 11 + 19

111

15 + 10 + 13 x 7

116

7.04

12.05-5.01

2. Peter was measuring how much taller she got over two years. In the first year, he grew 4.62 cm. In the second year, he grew 7.7 cm. How much taller did he get over those two years?

12.32 cm

1/8

12.5%

10. Ned and Sarah were running a relay race. The race was 22.01 kilometers total. If Ned ran 9.41 kilometers, how far did Sarah run?

12.6 km

12 - 1 x 8 + 9

13

8.84 ÷ 0.68

13

20.69

13.2 + 7.49

5.71

13.2 - 7.49

8. A weatherman was measuring the amount of rain two cities received over a week. Raymore received 3.74 inches, while Springfield received 9.8 inches. How much rain did they get total?

13.54 inches

10 + 5 + 9 x 14

141

11 + 7 - 6 + 3

15

23.4

15.8 + 7.6

13 x 11 - 3 + 15

155

10 x 15 + 18 - 5 - 4

159

2 x 2 - 1 + 13

16

12.291

16.2 - 3.909

1/6

16.66...%

2/11

18.18...%

10/10

1; 100%

3/3

1; 100%

4/4

1; 100%

5/5

1; 100%

8/8

1; 100%

3.10

2.09+1.01=

13 × 16 - 6 + 10

212

9 x 2 + 14 -10

22

2/9

22.22...%

10 - 7 + 17 x 17 + 4

296

12.01 × 3

36. 03

4/11

36.36...%

13 - 4 + 9 + 19

37

6. John ate a snack with 80.79 total calories. If the chips he ate were 43.39 calories, how many calories were in the rest of his snack?

37.4 calories

3/8

37.5%

3.36 ÷ .84

4

5 x 9 - 6 + 2

41

2.1

42 x 0.05 =

7. A computer programmer had two files with a total size of 93 gigabytes. If one of the files was 50.30 gigabytes, how big is the second file?

42.7 gigabytes

16.16

42.9 - 26.74

16 - 9 + 9 x 4

43

6 x 7 + 2 - 1

43

4/9

44.44...%

>

45 tenths _____ 45 hundredths

5/11

45.45..%

>

450 ______ 450 tenths

7 x 7 - 4 + 2

47

<

5.2 _____ 53 tenths

51.4

54 - 2.6

5/9

55.55...%

5/8

62.5%

7/9

77.77...%

78.5

81.0 - 2.5

9/11

81.81..%

5/6

83.33...%

7/8

87.5%

8/9

88.88...%

Statement is false.

A function can have multiple outputs in the range for a given input in the domain.

Comparing Decimals. To Fractions

Compare least to greatest

Multiplying Decimals

Count the number of decimal places in each number Count from right to left move that number of decimal places in your product

Converting Decimals to Fractions

Decimal to fractions count your decimal lace in

Converting Fractions to Decimals

Divide denominators to numerators

Dividing Decimals

Dividing decimals you move decimal place in your divisor to the right the same amount in your dividend. Add zeros add needed.

True or False: Suppose a linear function is characterized by a 2 unit horizontal change for each 3 unit vertical change. Then the slope of this line is given by m=3/2.

False

True or False: Suppose the equations 7+x=11 models the problem. "John has 7 bananas. His mother gives him some more bananas and now he has 11. How many bananas did John's mother give him?" Variable x represents the label "bananas."

False.

Ture or False: All linear functions are one-to-one functions.

False.

True or False: The ordered pair (x,y) = (3, 23) lies on graph function f(x) = 2x^2+3.

Fase.

how do you know that 4/6 = 2/3? Identify the statement below that BEST demonstrates a conceptual understanding.

If you have 6 items and you take 4 that would be 4/6. You can make 6 groups into 3 groups and 4 into 2 groups and that would be 2/3.

What statement is true about adding and subtracting with unliked denominators?

Is sometimes possible for students, especially if they have a good conceptual understanding of the relationships between certain fractional parts and a visual tool, such as a number line.

Subtracting Decimals

Put the larger number at the top. Line up your decimals

Complete this statement by choosing the best response. "The number 4 in the fraction 3/4 refers to . . . "

The number of piece of size 1/4 that make up the whole.

Does not represent an example of students conjecture.

To determine x in the equations 3x=6, divide both sides by 3.

True or False: In elementary school, it is okay to use symbols instead of boxes such as how the letter "n" could represent a missing value in an open number sentence.

True

True or False: Some students think that the value 13 is represented by the __ in the equation 8 + 5 = __ + 6.

True

Statement below does not relate students understanding of the euqal sign.

Understanding or confusion with equal sign does not usually cause difficulties understanding the process of solving equations.

Problem Solving: The cost to park a car in a parking lot is $1.10 per hour. Maleek parked his car for 4 hours on Monday, 4 hours on Tuesday, and 4 hours on Wednesday. How much did he spend on parking in all?

__________________________________________________

Problem Solving: Leticia buys a magazine and rents 2 movies for her weekend entertainment. The price of a movie rental is $4.95. The magazine costs $5.99. How much does Leticia spend on her weekend entertainment?

___________________________________________________

about 150 grams

a baseball

about 1 gram

a ladybug

Multiply 0.96 x 91

a) 8.736 b) .8736 c) 87.36 d) 873.6

When multiplying decimals, line up the decimals then multiply.

a) True b) False

Students are able to solve some adding and subtracting fractions without finding a common denominator by using their invented strategies. The problems below would work with such invented strategies EXCEPT: a. 5/6 - 1/7 b. 1/2 - 1/8 c. 3/4 + 1/8 d. 2/3 + 1/2

a.

about 29,000 liters

amount of water in a swimming pool

A student that says the equation 7 = 3 +4 is "backwards" will likely have trouble with all of the following equations EXCEPT: a. 5x-2=12 b. 12+13=25 c. 17+x=28 d. 7=7

b.

Fractions misconceptions come about for many reasons. The statement below can be fraction misconceptions EXCEPT: a. thinking of numerator and denmoinaotr as separate values and not as a single value b. fractions written in many ways c. thinking that the fraction 1/5 is smaller than 1/10 because it has a smaller denominator. d. using the operation rules from whole number to compute with fractions

b.

kilometer

is about 10 football fields

kiloliter

is about 500 2-liter bottles

milliliter

is about the amount of one drop

millimeter

is about the thickness of a dime

milligram

is about the weight of one grain of salt

kilogram

is about the weight of six apples

meter

is about the width of a doorway

centimeter

is about the width of your fingernail

liter

measures capacity

meter

measures length

gram

measures weight

What do we call the graph of a quadratic function?

parabola

>

ten ____ ten hundredths

.008 X .5=

.0040

.12 X .6=

.072

1.6 X.08=

.128

>

.2 _____ 2/100

.6 X .4=

.24

=

.29 _____ twenty-nine hundredths

<

.35 _____ 30 tenths

.14 X 3=

.42

<

.46_____ 6/10

<

.54 _____ 7 tenths

<

.789 _____ 65 tenths

>

.84 _____ .804

<

.904_____ 90 tenths

<

.954 _____ 1.0

1/2 - 2/4

0

0.4001

0.0001+0.4

2.302

0.002+2.3

0.403

0.003+0.4

0.0385

0.0035+0.035

0.000008

0.004 x 0.002 =

0.015

0.007+0.008

0.11

0.01+ 0.1

0.312

0.01+0.302

0.096

0.02+0.076

0.05

0.025+0.025

.09 X 0.03=

0.027

0.004

0.034-0.03

0.11

0.05+0.06

0.078

0.07+0.008

0.686

0.076+0.61

1/11

0.0909...

1.5

0.1+0.2+0.3+0.4+0.5

0.1324

0.102+0.0304

1/10

0.10; 10%

1/9

0.11...

1/8

0.125

1/8

0.125; 12.5%

1/7

0.142857

1/6

0.166....

0.051

0.17 x 0.3 =

1.53

0.17+1.36

2/11

0.1818...

3.1

0.2+2+0.9

-0.12

0.2-0.32

1/5

0.20; 20%

2/10

0.20; 20%

3.0 X .07=

0.21

.31 X .7=

0.217

2/9

0.22...

0.11

0.23-0.12

1/4

0.25; 25%

2/8

0.25; 25%

3/11

0.2727...

2/7

0.285714

0.9

0.3+0.6

-0.6

0.3-0.9

3/10

0.30; 30%

1.6 ÷ 5

0.32

3/9

0.33...

4/11

0.3636...

3/8

0.375

3/8

0.375; 37.5%

1/3

0.3; 33.3%

0.32

0.4 × 0.8

0.19

0.4-0.21

0.09

0.4-0.21-0.1

2/5

0.40; 40%

4/10

0.40; 40%

3/7

0.428571

0.387

0.43 x 0.9 =

4/9

0.44...

3.24 ÷ 6

0.54

6/11

0.5454...

5/9

0.55...

4/7

0.571428

6/10

0.60, 60%

3/5

0.60; 60%

5/8

0.625

5/8

0.625; 62.5%

9.540

0.63 + 8.910

7/11

0.6363...

6/9

0.66...

2/3

0.6; 66.6%

0.0021

0.7 x 0.003 =

0.42

0.7 × 0.6

0.19

0.7-0.91+0.4

7/10

0.70; 70%

5/7

0.714285

8/11

0.7272...

3/4

0.75; 75%

6/8

0.75; 75%

7/9

0.77...

8/10

0.80; 80%

1.41

0.81+0.6

9/11

0.8181...

0.0082

0.82 x 0.01 =

5/6

0.833...

6/7

0.857142

1.345

0.858 + 0.487

3.5 ÷ 4

0.875

7/8

0.875

7/8

0.875; 87.5%

8/9

0.88...

0.72

0.9 × 0.8

1.13

0.9+0.23

10/11

0.9090...

9/10

0.90; 90%

5.46 ÷ 6

0.91

11/11

0.99...

9/9

0.99...

1/2 + 1/2

1

1 + 1/3

1 1/3

2/2

1, 100%

2/3 - 2/4

1/6

9 + 7 - 3 x 2

10

9 - 7 + 10 + 6

18

0.105

2.1 x 0.05 =

4.05

2.2 + 1.85

7.92

2.2 × 3.6

4.5 X 0.5=

2.25

9.66 ÷ 4.2

2.3

0.46

2.3 × 0.2

115.731

2.31 × 50.1

1.92 ÷ 0.8

2.4

0.486 ÷ 0.2

2.43

66.5

2.5 + 64

10.75

2.5 × 4.3

0.21 × 12

2.52

12.7 ÷ 5

2.54

67.49

2.59 + 64.9

1.08 ÷ 0.4

2.7

1.30

2.77 - 1.47

9.41

2.83+6.58=

84.69

2.89+81.8=

4/5 - 2/3

2/15

1/3 + 1/3

2/3

1

2/3 + 2/6 =

8/9

2/3 + 2/9 =

simplest form 8/12

2/3 is the simplest form since the numerator and denominator do not share common factors

simplest form of 12/18

2/3 is the simplest form since the numerator and denominator do not share common factors

1/5 + 1/5

2/5

9/10

2/5 + 1/2=

simplest form of 4/10

2/5 is the simplest form since the numerator and denominator do not share common factors

1

2/6 + 2/3 =

1 1/8

2/8+7/8=

8/9

2/9 + 2/3 =

6 + 13 - 8 + 9

20

3.62× 5.6

20.272

30.2

20.62 + 9.58

12 - 3 +15 x 13

204

15 + 5 + 8 - 5 - 2

21

5 - 3 + 3 + 16

21

0.0896

22.4 x 0.004 =

10 + 2 - 1 + 17 - 5

23

4 + 13 + 17 - 11

23

8.33 ÷ 0.34

24.5

21.68

24.98 - 3.3

12 - 10 + 11 + 12

25

16 + 7 + 4 - 2

25

17 x 10 + 13 x 7 - 2

259

14 + 17 - 8 + 3

26

4 + 15 + 12 - 5

26

14.02

26.3 - 12.28

16 + 7 - 6 + 2 x 5

27

3/11

27..27... %

10 - 8 + 18 x 15

272

11 + 13 + 5 - 1

28

38.96

28.07 + 10.89

574 ÷ 20

28.7

6 + 16 - 4 + 11

29

6.42 ÷ 2.14

3

3.41

3.1 × 1.1

7.4

3.1+4.3=

1.8

3.2-1.4

5.23

3.27 + 1.96

24.82 ÷ 7.3

3.4

11.82

3.44 + 8.38

14.56

3.45+11.11

96.2 ÷ 26

3.7

0.0037

3.7 x 0.001 =

5.1

3.8+1.3

9.06

3.85 + 5.21

2/4 - 1/5

3/10

<

3/100 ______ three tenths

simplest form of 6/16

3/8 is the simplest form since the numerator and denominator do not share common factors

20.205

30.105 - 9.9

18.2

30.6-12.4

16 x 19 + 16 - 10

310

3/9

33.33...%

20.56

34.77 - 14.19

16 + 18 + 6 - 5

35

25.102

35.002 - 9.9

70.4 ÷ 0.2

352

0.544

4 - 3.456

2.2

4.1-1.9

10.47

4.2 + 6.27

25.5 ÷ 6

4.25

7.31 ÷ 1.7

4.3

34.6 ÷ 8

4.325

13.17

4.53+8.64

1.42

4.59 - 3.17

224.285

4.88 + 219.405

33.9

4.9 +29

34.33

4.93 + 29.4

1 1/2

4/4+2/4

9/10

4/5 + 1/10 =

1 11/20

4/5 + 3/4=

simplest form of 20/25

4/5 is the simplest form since the numerator and denominator do not share common factors

12 + 2 + 13 x 2

40

13 + 17 + 2 x 5

40

2 - 1 + 3 x 13

40

>

75/100 _____.075

21.2

8 + 13.2

15.1

8.0+7.1=

4.48

8.32 - 3.84

0.92

8.33 - 7.41

0.00084

8.4 x 0.0001 =

0.84

8.4 x 0.1 =

75.768

8.4 x 9.02 =

11.01

8.41 + 2.6

16.86

8.44 + 8.42

79.9

8.5 x 9.4 =

24.96

8.56 + 16.4

7.1

8.6 - 1.5

1.123

8.613 - 7.49

9.95

8.92+1.03

62.15

80.1 - 17.95

3.72

9 - 5.28

1/11

9.0909...%

3. Vanessa downloaded two apps which were 17.73 kb total. If one app was 8.63 kb, how big was the other app?

9.1 kb

4.62

9.12-4.5

0.0092

9.2 x 0.001 =

6.065

9.505 - 3.44

=

9/10 _____ nine tenths

<

9/1000 _____.09

3/5 - 3/20

9/20

82.5

90 - 7.5

10/11

90.90...%

14 + 10 - 3 + 18 x 4

93

16 x 5 + 10 + 4

94

14 + 6 x 16 - 14

96

5. Tom was weighing the amount of candy he received for Halloween. If he received 8.3 lbs and his brother received 1.8 lbs, how much candy did they get all together?

10.1 lbs

92 × 0.11

10.12

9.18 ÷ 0.9

10.2

83.426

100 - 16.574

kilo-

10^3

mega-

10^6

1/9

11.11...%

3.456 x 3.4

11.7504

9. During a science experiment, Mary found the mass of two rocks to be 41.4 oz and 74.3 oz. What is the total mass of these two rocks?

115.7 oz

4. Nancy was buying for for her birthday party. She bought a 52.93 oz bag of barbeque chips and a 79.6 oz bag of regular chips. How many ounces of chips did she buy all together?

132.53 oz

146.113

16.7 + 129.413

3 x 4 - 3 + 8

17

0.017

17 x 0.001 =

3.85

17.5 x 0.22 =

9 x 16 + 19 - 5 + 19

177

11 - 5 + 7 + 5

18

1. Jerry bought 6.95 lbs of cherry and lime jelly beans for his birthday party. If 1.75 lbs were cherry flavored, how many pounds were lime flavor?

5.2 lbs

15.03

5.24 + 9.79

21

5.25 x 4 =

21.2

5.3 x 4 =

12.66

5.30+7.36=

12.8

5.6+7.2=

6.360

5.64+0.720=

3.15

5.78 - 2.63

2/3 - 1/4

5/12

1/4 + 3/8

5/8

73.45

54.2 + 19.25

6/11

54.54..%

54.639

54.9 - 0.261

52.29

54.9 - 2.61

8 - 6 + 9 x 6

56

64.4

59 + 5.4

3.35

6 - 2.65

2.26

6 - 3.74

2.32

6.02-3.7

19.507

6.047 + 13.46

30.5 ÷ 5

6.1

43.75

6.25 x 7 =

2.07

6.27 - 4.2

15.21

6.3 + 8.91

25.4 ÷ 4

6.35

19.6

6.4 + 13.2

9.68

6.41 + 3.27

9.03

6.67 + 2.36

20.16 ÷ 3

6.72

1 1/2

6/8+6/8=

18 ÷ 0.3

60

>

63 _____ 63 hundredths

7/11

63.63..%

10 - 6 + 15 × 4

64

6/9

66.66...%

19 + 4 x 13 - 4

67

13 x 4 - 1 + 18

69

72.95

69.0+3.95=

4 - 3 + 2 + 4

7

5.7

7.2-1.5

3.615

7.23 x 0.5 =

15.49

7.49 + 8

0.75

7.5 x 0.1 =

6.2

7.75 x 0.8 =

3/10 + 4/10

7/10

8/10 - 1/3

7/15

1/3 - 1/10

7/30

738.05

702.85 + 35.2

8/11

72.72...%

>

988 _____ 899

9 x 8 + 4 x 5 + 7

99

9/9

99.99.. %

11/11

99.99..%

Adding Decimals

Line up your decimals

Converting Percent to Fractions

Percent to fractions move te

about 6 kilometers

a bowling ball

about 14 kilograms

a dog

about 2 meters

a refrigerator

Amelia spent $3.16 on peaches. Then she spent four times as much on raspberries. How much did she spend on peaches and raspberries?

a) $12.64 b) $15.80 c) $6.32 d) $8.50

Multi-Step: Carnations cost $0.99 each, daisies cost $1.75 each, and lilies cost $2.26 each. How much would an arrangement cost that is made with 3 carnations, two more daisies than carnations, and twice as many lilies as daisies?

a) $34.32 b) $15.51 c) $25.28 d) $40.59

Every day on his way to and from school, Milo walks a total of 3.65 miles. If he walks to school 5 days, how many miles will Milo have walked?

a) 1,825 miles b) 18.25 miles c) 182.5 miles d) 1.825 miles

Multiply 2 x 5.26

a) 1.052 b) .1052 c) 105.2 d) 10.52

Multiply 40 x 3.5

a) 140.0 b) 1.400 c) 14.00 d) 1400.

Which of the following is NOT an algebraic strand of thinking according to Blanton and Kaput as discussed in our course text? a. study of structures in the number system b. study of the use of manipulatives to solve algebraic word problems c. process of mathematiical modeling including meaningful use of symbols d. study of patterns, functions, and relations

b.

What is an early misconception about variables?

they are only used as a placeholder for one exact number

=

twelve ___ 120 tenths