Operation Meanings/Relationships & Geometry
Representing Multiplication and 1- and 2- Dimensional Geometry
During this block, students study the meaning, models, and properties of multiplication. They begin learning facts with 3, 4, and 6 as factors. Students learn 1- and 2- Dimensional attributes and look at part-whole relationships to describe, compare and/or classify shapes.

Utah State Core Standards, Objectives & Indicators

Standard 1: Students will understand the base-ten numeration system, place value concepts, simple fractions and perform operations with whole numbers.

Objective 1: Represent whole numbers up to 10,000, comprehend place value concepts, and identify relationships among whole numbers using base-ten models and symbolic notation.

e. Identify factors and multiples of whole numbers.

Objective 3: Model problems involving multiplication.

a. Demonstrate the meaning of multiplication of whole numbers through the use of a variety of representations (e.g., equal-sized groups, arrays, area models, and equal jumps on a number line for multiplication).

b. Use a variety of strategies and tools, such as repeated addition, equal jumps on the number line, and counters arranged in arrays to model multiplication  problems.

e. Write a story problem that relates to a given addition, or multiplication equation, and write a number sentence to solve a problem related to the students’ environment.

Objective 4: Compute and solve problems involving basic facts of multiplication.

c. Compute basic multiplication facts (0-10) using a variety of strategies based on properties of addition and multiplication (i.e., commutative, associative, identity, zero, and the distributive properties).

Standard 2: Students will use patterns, symbols, operations, and properties of addition and multiplication to represent and describe simple number relationships.

Objective 1: Create, represent, and analyze growing patterns.

a. Create and extend growing patterns using objects, numbers, and tables.

b. Describe how patterns are extended using manipulatives, pictures, and numerical representations.

Objective 2: Recognize, represent, and simplify simple number relationships using symbols, operations, and properties.

d. Recognize and use the commutative, associative, distributive, and identity properties of addition and multiplication, and the zero property of multiplication.

Standard 3: Students will describe and analyze attributes of two-dimensional shapes.

Objective 1: Describe and compare attributes of two-dimensional shapes.

a. Identify, describe, and classify polygons (e.g., pentagons, hexagons, octagons).

b. Identify attributes for classifying triangles (e.g., two equal sides for the isosceles triangle, three equal sides for the equilateral triangle, right angle for the right triangle).

c. Identify attributes for classifying quadrilaterals (e.g., parallel sides for the parallelogram, right angles for the rectangle, equal sides and right angles for the square).

d. Identify right angles in geometric figures, or in appropriate objects, and determine whether other angles are greater or less than a right angle.

Core Vocabulary: factor, product, array, multiple, polygon, attribute, quadrilateral, equilateral triangle, isosceles triangle, right triangle, pentagon, hexagon, octagon, parallel, right angle