Warm Up Heather plans to mow lawns to earn extra money. She will charge $25.00 for each lawn she mows. She estimates she will be able to save all the money except for $3.00 per lawn. How many lawns will she need to mow in order to save $200?

Use Benchmarks to Round Decimals Alignment Lesson

Decimal Benchmarks Study the decimals Decimals Near or Equal to 0 0.012 0.17 0.23 0.009 0.1 0.20 0.0 Study the decimals shown and see what they have in common Generate rules for determining if decimals are close or equal to 0 Find Day 26 “Decimal Benchmarks” Record rules in the first column of the chart.

Decimal Benchmarks Study the decimals Decimals Near or Equal to 0 0.012 0.17 0.23 0.009 0.1 0.20 0.0 Decimals near or equal to zero have a 0 in the ones place.   Decimals near or equal to zero have a 0, 1 or 2 in the tenths place. Decimals equal to 0 have a 0 in the ones place and a 0 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to zero that have a 2 in the tenths place have a digit under 5 in the hundredths place. Study the decimals shown and see what they have in common Generate rules for determining if decimals are close or equal to 0 Find Day 24 “Decimal Benchmarks” Record rules in the first column of the chart.

Decimal Benchmarks Decimals Near or Equal to 0 Decimals Near or Equal to 0.5 0.012 0.17 0.23 0.009 0.1 0.20 0.0 0.62 0.490 0.500 0.4 0.53 0.617 Study the decimals in the new column and see what they have in common Generate rules for determining if decimals are close or equal to 0 Record rules in the first column of the chart.

Decimal Benchmarks Decimals Near or Equal to 0 Decimals Near or Equal to 0.5 0.012 0.17 0.23 0.009 0.1 0.20 0.0 Decimals near or equal to zero have a 0 in the ones place.   Decimals near or equal to zero have a 0, 1 or 2 in the tenths place. Decimals equal to 0 have a 0 in the ones place and a 0 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to zero that have a 2 in the tenths place have a digit under 5 in the hundredths place. 0.62 0.490 0.500 0.4 0.53 0.617 Decimals near or equal to 0.5 have a 0 in the ones place. Decimals near or equal to 0.5 have a 4, 5, 6 or 7 in the tenths place. Decimals equal to 0.5 have a 0 in the ones place, a 5 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to 0.5 that have a 7 in the tenths place, have a digit under 5 in the hundredths place. Study the decimals in the new column and see what they have in common Generate rules for determining if decimals are close or equal to 0 Record rules in the first column of the chart.

Decimal Benchmarks Decimals Near or Equal to 0 Decimals Near or Equal to 0.5 Decimals Near or Equal to 1.0 0.012 0.17 0.23 0.009 0.1 0.20 0.0 0.62 0.490 0.500 0.4 0.53 0.617 1.12 0.9 0.893 0.901 1.008 0.8 1.24 1 Study the decimals in the new column and see what they have in common Generate rules for determining if decimals are close or equal to 0 Record rules in the first column of the chart.

Decimals Near or Equal to 0 0.012 0.17 0.23 0.009 0.1 0.20 0.0 Decimals near or equal to zero have a 0 in the ones place.   Decimals near or equal to zero have a 0, 1 or 2 in the tenths place. Decimals equal to 0 have a 0 in the ones place and a 0 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to zero that have a 2 in the tenths place have a digit under 5 in the hundredths place. 0.62 0.490 0.500 0.4 0.53 0.617 Decimals near or equal to 0.5 have a 0 in the ones place. Decimals near or equal to 0.5 have a 4, 5, 6 or 7 in the tenths place. Decimals equal to 0.5 have a 0 in the ones place, a 5 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to 0.5 that have a 7 in the tenths place, have a digit under 5 in the hundredths place. 1.12 0.9 0.893 0.901 1.008 0.8 1.24 1 Decimals near or equal to 1.0 have a 1 in the ones place and a 0, 1 or 2 in the tenths place. Decimals near or equal to 1.0 with a 2 in the tenths place, have a digit smaller than 5 in the hundredths place. Decimals near or equal to 1.0 have a 0 in the ones place and an 8 or 9 in the tenths place. Decimals equal to 1.0 have a 1 in the ones place and a zero in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimal Benchmarks Study the decimals in the new column and see what they have in common Generate rules for determining if decimals are close or equal to 0 Record rules in the first column of the chart.

Decimal Benchmarks Decimals Near or Equal to 0 Decimals Near or Equal to 0.5 Decimals Near or Equal to 1.0 Decimals Near or Equal to 1.5 0.012 0.17 0.23 0.009 0.1 0.20 0.0 0.62 0.490 0.500 0.4 0.53 0.617 1.12 0.9 0.893 0.901 1.008 0.8 1.24 1 1.470 1.50 1.61 1.599 1.600 1.43 1.710 1.39 Study the decimals in the new column and see what they have in common Generate rules for determining if decimals are close or equal to 0 Record rules in the first column of the chart.

Decimal Benchmarks Decimals Near or Equal to 0 0.012 0.17 0.23 0.009 0.1 0.20 0.0 Decimals near or equal to zero have a 0 in the ones place.   Decimals near or equal to zero have a 0, 1 or 2 in the tenths place. Decimals equal to 0 have a 0 in the ones place and a 0 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to zero that have a 2 in the tenths place have a digit under 5 in the hundredths place. 0.62 0.490 0.500 0.4 0.53 0.617 Decimals near or equal to 0.5 have a 0 in the ones place. Decimals near or equal to 0.5 have a 4, 5, 6 or 7 in the tenths place. Decimals equal to 0.5 have a 0 in the ones place, a 5 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to 0.5 that have a 7 in the tenths place, have a digit under 5 in the hundredths place. 1.12 0.9 0.893 0.901 1.008 0.8 1.24 1 Decimals near or equal to 1.0 have a 1 in the ones place and a 0, 1 or 2 in the tenths place. Decimals near or equal to 1.0 with a 2 in the tenths place, have a digit smaller than 5 in the hundredths place. Decimals near or equal to 1.0 have a 0 in the ones place and an 8 or 9 in the tenths place. Decimals equal to 1.0 have a 1 in the ones place and a zero in the tenths place (and sometimes zeros in the hundredths and thousandths places). 1.470 1.50 1.61 1.599 1.600 1.43 1.710 1.39 Decimals near or equal to 1.5 have a 1 in the ones place and a 3, 4, 5, 6 or 7 in the tenths place. Decimals near or equal to 1.5 with a 7 in the tenths place, have a digit smaller than 5 in the hundredths place.

Decimal Benchmarks Decimals Near or Equal to 0 Decimals Near or Equal to 0.5 Decimals Near or Equal to 1.0 Decimals Near or Equal to 1.5 Decimals Much Greater Than 1.5 0.012 0.17 0.23 0.009 0.1 0.20 0.0 0.62 0.490 0.500 0.4 0.53 0.617 1.12 0.9 0.893 0.901 1.008 0.8 1.24 1 1.470 1.50 1.61 1.599 1.600 1.43 1.710 1.39 3.01 14.2 22.4 15.0 99.8 37.006 Study the decimals in the new column and see what they have in common Generate rules for determining if decimals are close or equal to 0 Record rules in the first column of the chart.

Decimal Benchmarks Decimals Near or Equal to 0 Decimals Much Greater Than 1.5 0.012 0.17 0.23 0.009 0.1 0.20 0.0 Decimals near or equal to zero have a 0 in the ones place.   Decimals near or equal to zero have a 0, 1 or 2 in the tenths place. Decimals equal to 0 have a 0 in the ones place and a 0 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to zero that have a 2 in the tenths place have a digit under 5 in the hundredths place. 0.62 0.490 0.500 0.4 0.53 0.617 Decimals near or equal to 0.5 have a 0 in the ones place. Decimals near or equal to 0.5 have a 4, 5, 6 or 7 in the tenths place. Decimals equal to 0.5 have a 0 in the ones place, a 5 in the tenths place (and sometimes zeros in the hundredths and thousandths places). Decimals near or equal to 0.5 that have a 7 in the tenths place, have a digit under 5 in the hundredths place. 1.12 0.9 0.893 0.901 1.008 0.8 1.24 1 Decimals near or equal to 1.0 have a 1 in the ones place and a 0, 1 or 2 in the tenths place. Decimals near or equal to 1.0 with a 2 in the tenths place, have a digit smaller than 5 in the hundredths place. Decimals near or equal to 1.0 have a 0 in the ones place and an 8 or 9 in the tenths place. Decimals equal to 1.0 have a 1 in the ones place and a zero in the tenths place (and sometimes zeros in the hundredths and thousandths places). 1.470 1.50 1.61 1.599 1.600 1.43 1.710 1.39 Decimals near or equal to 1.5 have a 1 in the ones place and a 3, 4, 5, 6 or 7 in the tenths place. Decimals near or equal to 1.5 with a 7 in the tenths place, have a digit smaller than 5 in the hundredths place. 3.01 14.2 22.4 15.0 99.8 37.006 Decimals much greater than 1.5, have whole numbers that are much greater than 1.

In Groups of 3 to 4… Need: Set of Decimal Cards (in teacher’s notebook) AND large sheet of construction paper Divide your sheet into 5 columns Copy the headings from the chart you’ve just used. Work together to place the cards in the correct column, gluing them down once the group has reached consensus. Decimals Near or Equal to 0 Decimals Near or Equal to 0.5 Decimals Near or Equal to 1.0 Decimals Near or Equal to 1.5 Decimals Much Greater Than 1.5

Day 26 “Use Benchmarks to Round Decimals Journal Prompt” Homework Day 26 “Use Benchmarks to Round Decimals Journal Prompt”