 #### 3.2a; 3.2b

compose and decompose numbers up to 100,000 as a sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial models, and numbers, including expanded notation as appropriate; describe the mathematical relationships found in the base-10 place value system through the hundred thousands place;

#### 3.3f; 3.3h

represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines; compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models

#### 3.2c; 3.2d

represent a number on a number line as being between two consecutive multiples of 10; 100; 1,000; or 10,000 and use words to describe relative size of numbers in order to round whole numbers; compare and order whole numbers up to 100,000 and represent comparisons using the symbols >, <, or =.

#### 3.4i; 3.7a

solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction; represent fractions of halves, fourths, and eighths as distances from zero on a number line

#### 3.3a; 3.3c

represent fractions greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models, including strip diagrams and number lines; explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number

#### 3.3d; 3.3e

compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b;  solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8;

Take the 6 hour CPE course (\$20)

## Quizzes

Click the button below to access the quizzes for each part. Credit will not be earned until the CPE course has been purchased and all quizzes have been completed. 