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• Math: Finalizing Whole Number Place Value Through One Billion

# Math: Finalizing Whole Number Place Value Through One Billion

### Suggested Time Frame: 8 Instructional Days

##### Focus TEKS

Whole Number Place Value

• 4.2B represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals; – R RC1
• 4.2A interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left; – S RC1
• 4.2C compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =; – S RC1
• 4.2D round whole numbers to a given place value through the hundred thousands place; – S RC1
• 4.4B determine products of a number and 10 or 100 using properties of operations and place value understandings; – S RC2
##### Computational Fluency TEKS

Estimation (Use to verify reasonableness of products and quotients)

• 4.4G round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers; – S RC2

Multiply Whole Numbers

• 4.4B determine products of a number and 10 or 100 using properties of operations and place value understandings; – S RC2
• 4.4D use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties; – S RC2

Divide Whole Numbers

• 4.4F use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor; – S RC2
##### Spiral Review TEKS

Add and Subtract Fractions and Decimals

• 4.3E represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations; – R RC2
• 4.3F evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole; and – S RC2
• 4.4A add and subtract whole numbers and decimals to the hundredths place using the standard algorithm; – R RC2

Problem Solving (Some of the types of problems students should be solving during this unit)

• 4.8C solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate. – R RC3 [word problems using measurement contexts, focus on fractions and decimals in this unit, addition and subtraction only in this unit]
• 4.9B solve one- and two-step [addition and subtraction] problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot. – S RC4