Math Maniacs! $100 Ordering & Comparing Equivalents Adding & Subtracting Using Manipulatives Story...

Math Maniacs!Math Maniacs!

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Ordering & Comparing

EquivalentsAdding &

SubtractingUsing

ManipulativesStory

Problems

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Final Question…!Final Question…! B&P I

Ordering & Comparing - Ordering & Comparing - $100$100

Compare the fractions by inserting the Compare the fractions by inserting the correct sign: <, >, =. Explain…correct sign: <, >, =. Explain…

8/12 ___ 3/48/12 ___ 3/4

Use 12 as the common denominator.Use 12 as the common denominator. 3/4 x 3/3 = 9/123/4 x 3/3 = 9/12 8/12 < 9/12 8/12 < 9/12 8/12 < 3/48/12 < 3/4


Place in order from least to greatest… Place in order from least to greatest… Explain.Explain.

2/3 , 7/9 , 3/72/3 , 7/9 , 3/7

Use estimation skills to start.Use estimation skills to start. 3/7…3 is less than half of seven.3/7…3 is less than half of seven. 2/3 is .66 which is over half.2/3 is .66 which is over half. 3/7, 2/3, 7/93/7, 2/3, 7/9


Order these numbers from least to Order these numbers from least to greatest… Explain.greatest… Explain.

1 and 7/10, 24/15, 34/20 1 and 7/10, 24/15, 34/20

Turn all into mixed or improper fractions.Turn all into mixed or improper fractions. Notice the denominators are all multiples Notice the denominators are all multiples

of 5..of 5.. 24/15, 34/20, 1 and 7/1024/15, 34/20, 1 and 7/10 24/15, 1 and 7/10, 34/2024/15, 1 and 7/10, 34/20


Find 2 fractions between 4/7 and 5/7.Find 2 fractions between 4/7 and 5/7.

Hint: Multiply each by 3/3 or by 5/5 or Hint: Multiply each by 3/3 or by 5/5 or by….by….

Answers will vary..Answers will vary..


For each set of fractions, insert the correct For each set of fractions, insert the correct sign: <, >, or =. Explain.sign: <, >, or =. Explain.

a. 2/3 ___ 5/6a. 2/3 ___ 5/6 b. .35 ___ 7/20b. .35 ___ 7/20

c. 9/10 ___ 8/9c. 9/10 ___ 8/9 d. 125% ___ 20/15d. 125% ___ 20/15

a. 2/3 < 5/6a. 2/3 < 5/6 b. .35 = 7/20b. .35 = 7/20

c. 9/10 > 8/9c. 9/10 > 8/9 d. 125% < 20/15d. 125% < 20/15

Equivalents - $100Equivalents - $100

Compute the equivalent mixed fraction or Compute the equivalent mixed fraction or improper fraction for each number.improper fraction for each number.

a. 32/20a. 32/20 b. 3 and 11/12b. 3 and 11/12

a. 1 and 12/20… 1 and 6/10… 1 and 3/5a. 1 and 12/20… 1 and 6/10… 1 and 3/5 b. 47/12b. 47/12


Give the fraction, decimal, and percent Give the fraction, decimal, and percent equivalent to 0.05equivalent to 0.05

Fraction - 5/100 or 1/20Fraction - 5/100 or 1/20 Percent – 5%Percent – 5%


Write each fraction as a decimal.Write each fraction as a decimal.

a. 2 and 7/100a. 2 and 7/100 b. 7/8b. 7/8 c. 21/30c. 21/30

a. 2.07a. 2.07 b. 0.875b. 0.875 c. 0. 7 or 0.70c. 0. 7 or 0.70


Which of the following is not equivalent to Which of the following is not equivalent to 12/20? Explain.12/20? Explain.

a. 36/60a. 36/60 b. 3/4b. 3/4 c. 6/10c. 6/10 d. 9/15d. 9/15

3/4 is not equivalent to 12/20.3/4 is not equivalent to 12/20.


Complete the table.Complete the table.Fraction Decimal Percent

3/20

.09

45%

2.05

Fraction Decimal Percent

3/20 .15 15%

9/100 .09 9%

9/20 .45 45%

205/100 2.05 205%

Adding & Subtracting - $100Adding & Subtracting - $100

Solve.Solve.

5/12 + 3/12 =5/12 + 3/12 =

Don’t forget to give your answer in its Don’t forget to give your answer in its simplest form! simplest form!

5/12 + 3/12 = 8/12 = 4/6 = 2/35/12 + 3/12 = 8/12 = 4/6 = 2/3


Solve. Explain.Solve. Explain.

2 and 2/3 - 5/6 =2 and 2/3 - 5/6 =

Convert the mixed into an improper Convert the mixed into an improper fraction first!... 2 and 2/3 = 8/3.fraction first!... 2 and 2/3 = 8/3.

Then find a common denominator..Then find a common denominator.. 16/6 – 5/6 = 11/616/6 – 5/6 = 11/6 11/6 = 1 and 5/611/6 = 1 and 5/6



1/4 + 1/6 + 1/12 =1/4 + 1/6 + 1/12 =

Find a common denominator for all 3 Find a common denominator for all 3 fractionsfractions

1/4 = 3/12 , 1/6 = 2/12…1/4 = 3/12 , 1/6 = 2/12… 3/12 + 2/12 = 1/12 = 6/12 = 1/23/12 + 2/12 = 1/12 = 6/12 = 1/2



3.8 – (2 and 1/5) =3.8 – (2 and 1/5) =

Determine if changing to fraction or Determine if changing to fraction or decimal..decimal..

Decimal might be easier because of 1/5.Decimal might be easier because of 1/5. 3.8 – 2.2 =3.8 – 2.2 = 1.61.6



14.3 – 3.05 – 9/10 =14.3 – 3.05 – 9/10 =

Change 9/10 to a decimal.Change 9/10 to a decimal. Place zeroes on the end of numbers to Place zeroes on the end of numbers to

even up place value..even up place value.. Rewrite the equation vertically.Rewrite the equation vertically. 10.3510.35

Using Manipulatives - $100Using Manipulatives - $100

Make a rectangle and shade in 2/5.Make a rectangle and shade in 2/5.

Coaching table will demonstrate.Coaching table will demonstrate.


Make a circle and divide it into 5 equal Make a circle and divide it into 5 equal parts. Now shade in 40% of it.parts. Now shade in 40% of it.



Using a hundreds grid, shade in 1/8th of Using a hundreds grid, shade in 1/8th of the grid. What is 1/8th represented as a the grid. What is 1/8th represented as a decimal and as a percent?decimal and as a percent?



Use the pan method to demonstrateUse the pan method to demonstrate

3/4 x 1/23/4 x 1/2

Coaching Table will demonstrate.Coaching Table will demonstrate.


Use the pan method to solve…Use the pan method to solve…

2/3 x 3/4 = ?2/3 x 3/4 = ?

Coaching Table will verify answers.Coaching Table will verify answers.

Story Problems - $100Story Problems - $100

Which is the greater value? Explain.Which is the greater value? Explain.

1/4 of 12 or 2/9 of 18?1/4 of 12 or 2/9 of 18?

1/4 of 12 = 31/4 of 12 = 3 2/9 of 18 = 4… 2/9 of 18 is the greater 2/9 of 18 = 4… 2/9 of 18 is the greater

value.value.


The coach had to choose between three The coach had to choose between three players to shoot free-throws. In pre-game players to shoot free-throws. In pre-game warm ups they shot… Who should he warm ups they shot… Who should he choose? Explain.choose? Explain.

Markiece – 12 out of 15Markiece – 12 out of 15 Adam – 7 out of Adam – 7 out of 1010

Avery – 15 out of 20Avery – 15 out of 20 Luis – 39 out of Luis – 39 out of 5050

Markiece! Markiece!


Which quiz got the best score?... Explain.Which quiz got the best score?... Explain.

a. 15 pts. out of 25a. 15 pts. out of 25 b. 8 pts. out of 14b. 8 pts. out of 14

c. 25 pts. out of 45 c. 25 pts. out of 45 d. 150 pts. out of 250d. 150 pts. out of 250

Answers a or d! They both equal 60%. Answers a or d! They both equal 60%.


If 120 out of 300 seventh-graders If 120 out of 300 seventh-graders surveyed said math is their favorite surveyed said math is their favorite subject, how would you express that as a subject, how would you express that as a fraction? As a decimal? As a percent?fraction? As a decimal? As a percent?

120/300 = 12/30 = 4/10120/300 = 12/30 = 4/10 .40.40 40%40%

Story Problems - $500Story Problems - $500 Michael decided to make French toast for himself and his Michael decided to make French toast for himself and his

four family members. He found a recipe that calls for:four family members. He found a recipe that calls for:

8 slices of bread8 slices of bread 4 eggs 4 eggs 1 cup of milk1 cup of milk 1 tsp. of 1 tsp. of

cinnamoncinnamon If he makes a single recipe and shares the food equally with If he makes a single recipe and shares the food equally with

his family, how much French toast will each person receive? his family, how much French toast will each person receive? How much egg will each person have in their French toast? How much egg will each person have in their French toast? Each family member will get 8/5ths pieces of Each family member will get 8/5ths pieces of

French toast or 1 and 3/5ths.French toast or 1 and 3/5ths. Each person will have 4/5ths of an egg in their Each person will have 4/5ths of an egg in their

French toast.French toast.

Final Question…Final Question…

Explain the relationship between Explain the relationship between fractions, decimals fractions, decimals andand percents percents. Use . Use an example to make your point.an example to make your point.

Answers will vary… Cross-check answers Answers will vary… Cross-check answers with the Coaching Table!with the Coaching Table!

Math Maniacs! $100 Ordering & Comparing Equivalents Adding & Subtracting Using Manipulatives Story...

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