#### 4.1: Number & Operation

4.1.2: Demonstrate mastery of multiplication and division basic facts; multiply multi-digit numbers; solve real-world and mathematical problems using arithmetic.

4.1.2.1: Demonstrate fluency with multiplication and division facts.

4.1.2.4: Solve multi-step real-world and mathematical problems requiring the use of addition, subtraction and multiplication of multi-digit whole numbers. Use various strategies including the relationships between the operations and a calculator to check for accuracy.

4.1.2.5: Use strategies and algorithms based on knowledge of place value and properties of operations to divide multi-digit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, and distributive properties and repeated subtraction.

4.1.3: Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand how decimals represent quantities.

4.1.3.1: Represent equivalent fractions using fraction models such as parts of a set, fraction circles, fraction strips, number lines and other manipulatives. Use the models to determine equivalent fractions.

4.1.3.2: Locate fractions on a number line. Use models to order and compare whole numbers and fractions, including mixed numbers and improper fractions.

4.1.3.4: Read and write decimals with words and symbols; use place value to describe decimals in terms of groups of thousands, hundreds, tens, ones, tenths, hundredths and thousandths.

4.1.3.5: Compare and order decimals and whole numbers using place value, a number line and models such as grids and base 10 blocks.

4.1.3.7: Read and write tenths and hundredths in decimal and fraction notations using words and symbols; know the fraction and decimal equivalents for halves and fourths.

#### 4.2: Algebra

4.2.1: Use input-output rules, tables and charts to represent patterns and relationships and to solve real-world and mathematical problems.

4.2.1.1: Create and use input-output rules involving addition, subtraction, multiplication and division to solve problems in various contexts. Record the inputs and outputs in a chart or table.

4.2.2: Use number sentences involving multiplication, division and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.

4.2.2.1: Understand how to interpret number sentences involving multiplication, division and unknowns. Use real-world situations involving division to represent number sentences.

4.2.2.2: Use multiplication, division and unknowns to represent a given problem situation using a number sentence. Use number sense, properties of multiplication, and the relationship between multiplication and division to find values for the unknowns that make the number sentences true.

#### 4.3: Geometry & Measurement

4.3.1: Name, describe, classify and sketch polygons.

4.3.1.2: Describe, classify and draw quadrilaterals, including squares, rectangles, trapezoids, rhombuses, parallelograms and kites. Recognize quadrilaterals in various contexts.

4.3.2: Understand angle and area as measurable attributes of real-world and mathematical objects. Use various tools to measure angles and areas.

4.3.2.3: Understand that the area of a two-dimensional figure can be found by counting the total number of same size square units that cover a shape without gaps or overlaps. Justify why length and width are multiplied to find the area of a rectangle by breaking the rectangle into one unit by one unit squares and viewing these as grouped into rows and columns.

4.3.2.4: Find the areas of geometric figures and real-world objects that can be divided into rectangular shapes. Use square units to label area measurements.

4.3.3: Use translations, reflections and rotations to establish congruency and understand symmetries.

4.3.3.1: Apply translations (slides) to figures.

4.3.3.2: Apply reflections (flips) to figures by reflecting over vertical or horizontal lines and relate reflections to lines of symmetry.

4.3.3.3: Apply rotations (turns) of 90° clockwise or counterclockwise.

4.3.3.4: Recognize that translations, reflections and rotations preserve congruency and use them to show that two figures are congruent.

Correlation last revised: 9/16/2020

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.