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Mathematically proficient students communicate precisely by engaging in discussion about their reasoning using appropriate mathematical language.
Key Terms for this Unit: • decimal • fraction • decimal point • hundredths • ones • place value • rounding • tenths • thousandths
Week 22 Read, Write, Represent, Compare and Order Decimal Numbers
Week 22 Read, Write, Represent, Compare and Order Decimal Numbers
5.NR.4 Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.
5.NR.4.1(Read and write decimal numbers)
S1: I can read and write decimal numbers to the thousandths place written in the standard form.
S2: I can read and write decimal numbers to the thousandths place written in the expanded form.
S3: I can solve real-world problems involving decimal numbers written in the standard and expanded form.
Students will work with place values from thousandths to one million. This standard calls for students to reason about the magnitude of numbers. Before considering the relationship of decimal fractions, students express their understanding that in multi-digit whole numbers, a digit in one place represents 10 times what it represents in the place to its right and 1/10 of what it represents in the place to its left.
5.NR.4 Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.
5.NR.4.2 (Represent, compare and order decimal numbers)
S1: I can use a variety of tools to represent decimals to the thousandths place.
S2: I can use <, >, and = symbols to record comparisons of decimals.
S3: I can compare and order decimals to the thousandths place.
S4: I can use a variety of tools and strategies to explain the comparisons of decimals to the thousandths place.
Students should go beyond simply applying an algorithm or procedure for rounding. The expectation is that students have a deep understanding of place value and number sense and can explain and reason about the answers they get when they round. Students will have numerous experiences using a number line and base-ten models to support their work with rounding.
Week 23 Rounding, Adding and Subtracting Decimal Numbers
Week 23 Rounding, Adding and Subtracting Decimal Numbers
5.NR.4 Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.
5.NR.4.3 (Round decimal numbers)
S1: I can use a variety of tools to round decimals to the hundredths place.
S2: I can solve real world problems involving rounding decimals to the nearest hundredth.
5.NR.4.3.1 (Use number lines to round decimal numbers)
S1: I can use a variety of tools to round decimals to the hundredths place.
S2: I can utilize number lines to round by determining the nearest multiple of base-ten decimal of 0.1 or 0.01.
5.NR.4 Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.
5.NR.4.4 (Solve problems involving addition and subtraction of decimal numbers)
K1: I can relate the strategy to a written method.
S1: I can add decimals to the hundredths.
S2: I can subtract decimals to the hundredths
S3: I can solve problems involving the addition and subtraction of decimals to the hundredths, using concrete models, multiple strategies, the relationship of addition and subtraction, and operation properties.
S4: I can explain the strategy used to solve decimal operations.
This standard will focus on concrete models and pictorial representations, rather than relying solely on the algorithm. This standard includes students’ reasoning and explanations of how they use models, pictures, and strategies. Before students are asked to give exact answers, they will estimate answers based on their understanding of operations and the value of the numbers. Students should be able to express that when they add decimals, they add tenths to tenths and hundredths to hundredths. When adding in a vertical format (numbers beneath each other - standard algorithm), it is important that students write numbers with the same place value beneath each other using a place value chart. Students will add a 0 as a place-holder, as needed, to show equivalency when lining up decimals.
Week 24 Converting Units of Measure
Week 24 Converting Units of Measure
5.MDR.7 Solve problems involving customary measurements, metric measurements, and time and analyze graphical displays of data to answer relevant questions.
5.MDR.7.1 (Units of Measurement)
K1: I can explore realistic problems involving different units of measurement, including distance, mass, weight, volume, and time.5.MDR.7.4 (Convert units within the customary system)
5.MDR.7.4 (Convert units within the customary system)
K1: I can recognize units of measurement within the same system.
S1: I can divide and multiply to change units.
S2: I can convert units of measurement within the same system.
S3: I can solve multi-step, real world problems that involve converting units.
Week 25 Converting Units of Measure
Week 25 Converting Units of Measure
5.MDR.7 Solve problems involving customary measurements, metric measurements, and time and analyze graphical displays of data to answer relevant questions.
5.MDR.7.1 (Units of Measurement)
K1: I can explore realistic problems involving different units of measurement, including distance, mass, weight, volume, and time.5.MDR.7.4 (Convert units within the customary system)
5.MDR.7.4 (Convert units within the customary system)
K1: I can recognize units of measurement within the same system.
S1: I can divide and multiply to change units.
S2: I can convert units of measurement within the same system.
S3: I can solve multi-step, real world problems that involve converting units.
Week 26 Converting Units of Measurements with the Metric System
Week 26 Converting Units of Measurements with the Metric System
5.MDR.7 Solve problems involving customary measurements, metric measurements, and time and analyze graphical displays of data to answer relevant questions.
5.MDR.7.3 (Convert units within the metric system)
S1: I can convert between different units within the metric system.
5.MDR.7.4 (Convert units within the customary system)
K1: I can recognize units of measurement within the same system.
S1: I can divide and multiply to change units.
S2: I can convert units of measurement within the same system.
S3: I can solve multi-step, real world problems that involve converting units.
5.MDR.7.5 (Create and solve real-life problems involving units of measurement)
S1: I can solve real-world problems involving converting units of measurement.
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