Math: Unit One

Unit 1: Place Value, Addition and Subtraction

Topics 1 & 2 in enVision; see Pearson app on webdesk.pisd.edu

Students will understand that…

U1 Our number system is based on patterns of ten.

U2 There are many ways to represent a quantity, but the best way is based on the problem in front of you.

U3 There are multiple strategies and methods for finding an accurate mathematical solution.

U4 The relationship among the operations and their properties promote computational fluency.

U5 The context and numbers determine the strategies used to make estimations.

Students will know …

K1 the names of the place values.

K2 our number system is based on groups of 10.

K3 place value can be used to compare and order numbers.

K4 the location (place) of a digit in a number determines its value.

K5 decimal numeration is an extension of whole number place value.

K6 numbers can be rounded to approximate their value.

K7 positive rational numbers can be represented as a decimal.

K8 common benchmarks used in rounding and estimating.

K9 sums and differences can be estimated using a variety of strategies such as front end estimation, compatible numbers, rounding up or down or compensation.

K10 the relationship between fractions and decimals.

K11 expanded notation communicates the value of each digit including decimals.

Critical Vocabulary

thousandths
front end estimation
compensation
rational numbers
positive

Students will be skilled at …

S1 representing positive rational numbers through the thousandths in standard, word, and expanded notation ex: 3.94 = (3 x 1) + (9 x 0.1) + (4 x 0.01) or 3.94 = (3 x 1) + (9 x 1/10) + (4 x 1/100).

S2 comparing and ordering decimals through the thousandths place using symbols.

S3 rounding rational numbers.

S4 using strategies to estimate sums and differences.

S5 evaluating solutions for reasonableness.

S6 using the standard algorithm to solve addition and subtraction problems.

S7 solving multi-step problems involving everyday situations.

S8 applying the mathematical process standards.

TEKS

5.1 (A-G) The student uses mathematical processes to acquire and demonstrate mathematical understanding.

5.2 The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value.

(A) represent the value of the digit in decimals through the thousandths using expanded notation and numerals

(B) compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =

5.3 The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy.

(A) estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division

(K) add and subtract positive rational numbers fluently

Texas Focal Point 1: Developing an understanding of and fluency with addition, subtraction, multiplication, and division of fractions and decimals

Bold = Readiness Standard