1st quarter Math goals

Multiplying and Dividing

5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

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.

Students will understand that fluency within the number system helps them determine generalizable methods for multiplication. Students will understand that the context of the problem is essential when determining solutions that include remainders.

How does an understanding of the place value system build fluency in multiplication and create a proof for the formal algorithm? How does the remainder of a division problem affect the solution?

Decimal and Place Value

5. NBT. 3 Read, write, and compare decimals to thousandths.

a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

b. Compare two decimals to thousandths based on meanings of the digits in each place, using >;, =, and < symbols to record the results of comparisons.

Students will understand that the placement of the decimal changes the value of the number.

How does the placement of the decimal impact the value of a number?

Powers and Multiples of 10

5.NBT.1 Recognize 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.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Students will understand that reasoning about the size of numbers is influenced by the place value system and the magnitude of the digits.

How does reasoning about the size of each digit in a number connect back to the place value system? How do the powers of ten impact the size of a decimal number?

Rounding Decimals

5.NBT.4 Use place value understanding to round decimals to any place.

Students should understand that rounding decimals is similar to whole numbers because both are done using strategies based on place value in the number system.

How does the context of the situation determine to which place you should round a number

Adding and Subtracting Decimals

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.

Students will understand that because of the uniformity of the structure of the base-ten system, the same reasoning about adding and subtracting whole numbers can be applied to adding and subtracting decimals.

How does adding and subtracting whole numbers compare to adding and subtracting decimals?

Whole Year of Math overview, in English and Spanish.