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Grade 6 Mathematics Unit: 01 Lesson: 01

Happy Birthday to Me! Samantha ordered a square cake for her birthday party from a local bakery. She wants two-thirds of the cake to have strawberry filling and one-third of the cake to have pineapple filling. Use the diagram below to model what fraction of the cake has strawberry filling and what fraction of the cake has pineapple filling.

Model 1 Samantha cuts the cake into 12 equal size pieces. Use the diagram below to model the cake cut into twelve equal size pieces.

Model 2 1. What fraction of the pieces of cake have strawberry filling? Explain.

2. How does the fraction from number 1 compare to the fraction two thirds? Explain.

3. Record the representation of the diagram using mathematical symbols.

©2012, TESCCC

Editable Resource Document (ERD)–Content may be modified (DULA terms and conditions still apply)

Grade 6 Mathematics Unit: 01 Lesson: 01

Happy Birthday to Me!     

Draw horizontal lines to cut the model for the birthday cake into the given number of equal size pieces. Shade the pieces of cake in the second model to represent a fraction equivalent to the fraction in the first model. Explain why the two fraction models are equivalent. Write a number sentence to represent the relationship between the numerators in the two models. Write a number sentence to represent the relationship between the denominators in the two models. Problem 4: Cut birthday cake into 4 equal size pieces.

First Model

Second Model

Relationship between numerators: Relationship between denominators: Problem 5: Cut birthday cake into 6 equal size pieces.

First Model

Second Model

Relationship between numerators: Relationship between denominators:

©2012, TESCCC

Editable Resource Document (ERD)–Content may be modified (DULA terms and conditions still apply)

Grade 6 Mathematics Unit: 01 Lesson: 01

Happy Birthday to Me!     

Draw horizontal lines to cut the model for the birthday cake into the given number of equal size pieces. Shade the pieces of cake in the second model to represent a fraction equivalent to the fraction in the first model. Explain why the two fraction models are equivalent. Write a number sentence to represent the relationship between the numerators in the two models. Write a number sentence to represent the relationship between the denominators in the two models. Problem 6: Cut birthday cake into 8 equal size pieces.

First Model

Second Model

Relationship between numerators: Relationship between denominators: Problem 7: Cut birthday cake into 10 equal size pieces.

First Model

Second Model

Relationship between numerators: Relationship between denominators:

©2012, TESCCC

Editable Resource Document (ERD)–Content may be modified (DULA terms and conditions still apply)

Grade 6 Mathematics Unit: 01 Lesson: 01

Happy Birthday to Me!   

Shade the pieces of cake in the second model to represent a fraction equivalent to the fraction in the first model and write the fraction for both models. Write a number sentence to show the fraction models are equivalent. Write the decimal equivalent to the fractions in the place value chart.

hundredths

tenths

and

ones

tens

Problem 8

. First Model =

Place Value Chart

Second Model =

Verbal:

Verbal:

Verbal:

Number Sentence for Equivalent Fractions:

hundredths

tenths

and

ones

tens

Problem 9

. First Model =

Second Model =

Verbal:

Verbal:

Place Value Chart Verbal:

Number Sentence for Equivalent Fractions:

©2012, TESCCC

Editable Resource Document (ERD)–Content may be modified (DULA terms and conditions still apply)

Grade 6 Mathematics Unit: 01 Lesson: 01

Happy Birthday to Me!   

Shade the pieces of cake in the second model to represent a fraction equivalent to the fraction in the first model and write the fraction for both models. Write a number sentence to show the fraction models are equivalent. Write the decimal equivalent to the fractions in the place value chart.

hundredths

tenths

and

ones

tens

Problem 10

. First Model =

Place Value Chart

Second Model =

Verbal:

Verbal:

Verbal:

Number Sentence for Equivalent Fractions:

hundredths

tenths

and

ones

tens

Problem 11

. First Model =

Second Model =

Verbal:

Verbal:

Place Value Chart Verbal:

Number Sentence for Equivalent Fractions:

©2012, TESCCC

Editable Resource Document (ERD)–Content may be modified (DULA terms and conditions still apply)

Grade 6 Mathematics Unit: 01 Lesson: 01

Happy Birthday to Me!   

Shade the pieces of cake in the second model to represent a fraction equivalent to the fraction in the first model. Write a number sentence to show the fraction models are equivalent. Write the decimal equivalent to the fractions in the place value chart.

hundredths

tenths

and

ones

tens

Problem 12

. First Model =

Place Value Chart

Second Model =

Verbal:

Verbal:

Verbal:

Number Sentence for Equivalent Fractions:

hundredths

tenths

and

ones

tens

Problem 13

. First Model =

Second Model =

Verbal:

Verbal:

Place Value Chart Verbal:

Number Sentence for Equivalent Fractions:

©2012, TESCCC

Editable Resource Document (ERD)–Content may be modified (DULA terms and conditions still apply)

Grade 6 Mathematics Unit: 01 Lesson: 01

Happy Birthday to Me!   

Shade the pieces of cake in the second model to represent a fraction equivalent to the fraction in the first model and write the fraction for both models. Write a number sentence to show the fraction models are equivalent. Write the decimal equivalent to the fractions in the place value chart.

thousandths

hundredths

tenths

and

ones

Problem 14

. First Model = Verbal:

Second Model =

Place Value Chart

Verbal:

Verbal:

Number Sentence for Equivalent Fractions:

. First Model =

Second Model =

Verbal:

Verbal:

Place Value Chart Verbal:

Number Sentence for Equivalent Fractions: ©2012, TESCCC

Editable Resource Document (ERD)–Content may be modified (DULA terms and conditions still apply)

thousandths

hundredths

tenths

and

ones

Problem 15

Grade 6 Mathematics Unit: 01 Lesson: 01

Happy Birthday to Me! Write each decimal in the correct place value positions. Write the verbal representation of each decimal Write the fraction representation for each decimal.

hundredths

thousandths

hundredths

thousandths

0.65

tenths

16.

Place Value Chart

tenths

Decimal

and

Problem

ones

  

Verbal

Fraction

0.01

and

17.

ones

.

tenths

hundredths

thousandths

tenths

hundredths

thousandths

tenths

hundredths

thousandths

0.009

and

18.

ones

.

0.15

and

19.

ones

.

0.125

and

20.

ones

.

.

©2012, TESCCC

Editable Resource Document (ERD)–Content may be modified (DULA terms and conditions still apply)