Study Help

Unit 1 - Place Value

3.NSBT.4 Read and write numbers through 999,999 in standard form and equations in expanded form.

3.NSBT.5 Compare and order numbers through 999,999 and represent the comparison using the symbols >, =, or <.

Unit 2 - Strategies for Addition, Subtraction and Perimeter

3.NSBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100.

- Rounding: nearest ten or hundred (3-P.2)
- Rounding input/output tables (3-P.)

3.NSBT.2 Add and subtract whole numbers fluently to 1,000 using knowledge of place value and properties of operations.

3.MDA.6 Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

Unit 3 - Exploring Foundations of Multiplication

3.ATO.1 Use concrete objects, drawings and symbols to represent multiplication facts of two single-digit whole numbers and explain the relationship between the factors (i.e., 0 - 10) and the product.

3.ATO.3 Solve real-world problems involving equal groups, area/array, and number line models using basic multiplication and related division facts. Represent the problem situation using an equation with a symbol for the unknown.

- Multiplication word problems (3-H.6)
- Multiplication word problems: find the missing factor (3-H.7)

3.ATO.5 Apply properties of operations (i.e., Commutative Property of Multiplication, Associative Property of Multiplication, Distributive Property) as strategies to multiply and divide and explain the reasoning.

- Multiply by 0 or 1: complete the sentence (3-G.)

Unit 4 - Developing Conceptual Understanding of Area

3.MDA.5 Understand the concept of area measurement.

- 3.MDA.5.a Recognize area as an attribute of plane figures;
- 3.MDA.5.b Measure area by building arrays and counting standard unit squares;
- 3.MDA.5.c Determine the area of a rectilinear polygon and relate to multiplication and addition.

Unit 5 - Understanding Unit Fractions

3.G.2 Partition two-dimensional shapes into 2, 3, 4, 6, or 8 parts with equal areas and express the area of each part using the same unit fraction. Recognize that equal parts of identical wholes need not have the same shape.

3.NSF.1 Develop an understanding of fractions (i.e., denominators 2, 3, 4, 6, 8, 10) as numbers.

- 3.NSF.1.a A fraction 1/b (called a unit fraction) is the quantity formed by one part when a whole is partitioned into b equal parts;
- 3.NSF.1.b A fraction a/b is the quantity formed by a parts of size 1/b;
- 3.NSF.1.c A fraction is a number that can be represented on a number line based on counts of a unit fraction;
- 3.NSF.1.d A fraction can be represented using set, area, and linear models.

Unit 6 - Measurement and Time

3.MDA.1 Use analog and digital clocks to determine and record time to the nearest minute, using a.m. and p.m.; measure time intervals in minutes; and solve problems involving addition and subtraction of time intervals within 60 minutes.

3.MDA.2 Estimate and measure liquid volumes (capacity) in customary units (i.e., c., pt., qt., gal.) and metric units (mL, L) to the nearest whole unit.

- Which customary unit of volume is appropriate? (3-Z.7)
- Which metric unit of volume is appropriate? (3-Z.16)

Unit 7 - Understanding the Relationship Between Multiplication and Division

3.ATO.2 Use concrete objects, drawings and symbols to represent division without remainders and explain the relationship among the whole number quotient (i.e., 0 - 10), divisor (i.e., 0 - 10), and dividend.
3.ATO.3 Solve real-world problems involving equal groups, area/array, and number line models using basic multiplication and related division facts. Represent the problem situation using an equation with a symbol for the unknown.
3.ATO.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is a missing factor, product, dividend, divisor, or quotient.
3.ATO.5 Apply properties of operations (i.e., Commutative Property of Multiplication, Associative Property of Multiplication, Distributive Property) as strategies to multiply and divide and explain the reasoning.
3.ATO.6 Understand division as a missing factor problem.
3.ATO.7 Demonstrate fluency with basic multiplication and related division facts of products and dividends through 100.