Standards/Essential Questions:
- 5.NBT.3a READ, WRITE, and COMPARE decimals to thousandths. (a) READ and WRITE decimals to thousandths using base-ten numerals, number names, and expanded form.
- 5.NBT.3b COMPARE two decimals to thousandths based on meanings of the digits in each place, using >, =, < symbols to record the results of comparisons.
- 5.NBT.6 FIND whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. ILLUSTRATE and EXPLAIN the calculation by using equations, rectangular arrays, and/or area models.
- 5.NBT.7 ADD, SUBTRACT, MULTIPLY, and DIVIDE decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; RELATE the strategy to a written method and EXPLAIN the reasoning used.
- 5.NF.B.4a(4) Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. (a) Interpret the product (a/b) x q as parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a x q ÷ b.
- 5.NF.B.4bFind the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
- Place value attaches meaning to the digits being added or subtracted. This helps to keep digits in the appropriate position. Place value also helps to check with reasonableness of answers.
- There are multiple strategies that can be used to solve multiplication and division problems such as: Repeated addition or subtraction, partial products or quotients, estimation, calculators, equations, estimations, area models, decimal grids.
- Division is the inverse, or opposite, of multiplication. To find the missing factor in multiplication, it will be either the quotient or divisor in division. To find the missing divisor in division, it is one of the factors in multiplication.
- Checking errors in division, you can multiply the quotient and the divisor and that should equal the dividend. Checking errors in multiplication, if you divide the product by one of the factors, it should equal the other factor.
- The metric system is related to the place value system because it is a base ten system. The values increase ten times and decrease by 1/10.
- When converting from one unit of measurement to another you will divide if going from a smaller unit of measure to a larger unit of measure. You will multiply if going from a larger unit of measure to a smaller unit.
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