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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: • Algorithm • Distributive Property • Dividend • Divisor • Equation • Exponents • Expression • Measurement Division (or repeated subtraction) • Multiplicand • Multiplier • Order of Operations • Partition Division (or fair-sharing) • Partial Product • Partial Quotient • Product • Properties of Operations • Quotient • Remainder
5.NR.1: Use place value understanding to solve real-life, mathematical problems.
5.NR.1.1 Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
5.NR.1.2 Explain patterns in the placement of digits when multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10, up to 10 to the power of 3.
S1: I can identify the value of a digit up to 100 times greater or 1/1000 of the value of a digit.
S2: I can explain what happens to the value of a digit as it shifts to the left or right and discover the decimal point remains between the ones and tenth place as the digits shift.
S3: I can use whole-number exponents to denote powers of 10, up to 10 to the power of 3.
This standard calls for students to reason about the magnitude of numbers. Students will use base ten blocks, pictures of base ten blocks, and interactive images of base ten blocks to manipulate and investigate the place value relationships.
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.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 Explore realistic problems involving different units of measurement, including distance, mass, weight, volume, and time.
5.MDR.7.2 Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve problems relevant to everyday life.
K1: I can explore realistic problems involving different units of measurement, including distance, mass, weight, volume, and time.
S1: I can ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve problems relevant to everyday life.