#### 4.1: All students will develop number sense and will perform standard numerical operations and estimations on all types of numbers in a variety of ways.

4.1.5 A: Number Sense

4.1.5 A.1: Use real-life experiences, physical materials, and technology to construct meanings for numbers (unless otherwise noted, all indicators for grade 5 pertain to these sets of numbers as well).

4.1.5 A.1.a: All fractions as part of a whole, as subset of a set, as a location on a number line, and as divisions of whole numbers

4.1.5 A.1.b: All decimals

4.1.5 A.3: Demonstrate a sense of the relative magnitudes of numbers.

4.1.5 A.4: Use whole numbers, fractions, and decimals to represent equivalent forms of the same number.

4.1.5 A.5: Develop and apply number theory concepts in problem solving situations.

4.1.5 A.5.a: Primes, factors, multiples

4.1.5 A.6: Compare and order numbers.

4.1.5 B: Numerical Operations

4.1.5 B.1: Recognize the appropriate use of each arithmetic operation in problem situations.

4.1.5 B.2: Construct, use, and explain procedures for performing addition and subtraction with fractions and decimals with:

4.1.5 B.2.a: Pencil-and-paper

4.1.5 B.2.b: Mental math

4.1.5 B.3: Use an efficient and accurate pencil-and-paper procedure for division of a 3-digit number by a 2-digit number.

4.1.5 B.6: Understand and use the various relationships among operations and properties of operations.

4.1.5 C: Estimation

4.1.5 C.1: Use a variety of estimation strategies for both number and computation.

4.1.5 C.2: Recognize when an estimate is appropriate, and understand the usefulness of an estimate as distinct from an exact answer.

4.1.5 C.3: Determine the reasonableness of an answer by estimating the result of operations.

#### 4.2: All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena.

4.2.5 A: Geometric Properties

4.2.5 A.2: Identify, describe, compare, and classify polygons.

4.2.5 A.2.b: Quadrilaterals, including squares, rectangles, parallelograms, trapezoids, rhombi

4.2.5 A.4: Understand and apply the concepts of congruence and symmetry (line and rotational).

4.2.5 B: Transforming Shapes

4.2.5 B.1: Use a translation, a reflection, or a rotation to map one figure onto another congruent figure.

4.2.5 C: Coordinate Geometry

4.2.5 C.1: Create geometric shapes with specified properties in the first quadrant on a coordinate grid.

4.2.5 D: Units of Measurement

4.2.5 D.1: Select and use appropriate units to measure angles and area.

4.2.5 D.2: Convert measurement units within a system (e.g., 3 feet = ___ inches).

4.2.5 D.4: Use measurements and estimates to describe and compare phenomena.

4.2.5 E: Measuring Geometric Objects

4.2.5 E.2: Develop and apply strategies and formulas for finding perimeter and area.

4.2.5 E.2.a: Square

4.2.5 E.2.b: Rectangle

4.2.5 E.3: Recognize that rectangles with the same perimeter do not necessarily have the same area and vice versa.

4.2.5 E.4: Develop informal ways of approximating the measures of familiar objects (e.g., use a grid to approximate the area of the bottom of one's foot).

#### 4.3: All students will represent and analyze relationships among variable quantities and solve problems involving patterns, functions, and algebraic concepts and processes.

4.3.5 A: Patterns

4.3.5 A.1: Recognize, describe, extend, and create patterns involving whole numbers.

4.3.5 A.1.a: Descriptions using tables, verbal rules, simple equations, and graphs

4.3.5 B: Functions & Relationships

4.3.5 B.1: Describe arithmetic operations as functions, including combining operations and reversing them.

4.3.5 B.2: Graph points satisfying a function from T-charts, from verbal rules, and from simple equations.

4.3.5 C: Modeling

4.3.5 C.2: Draw freehand sketches of graphs that model real phenomena and use such graphs to predict and interpret events.

4.3.5 C.2.b: Rates of change (e.g., when is plant growing slowly/rapidly, when is temperature dropping most rapidly/slowly)

#### 4.4: All students will develop an understanding of the concepts and techniques of data analysis, probability, and discrete mathematics, and will use them to model situations, solve problems, and analyze and draw appropriate inferences from data.

4.4.5 A: Data Analysis

4.4.5 A.1: Collect, generate, organize, and display data.

4.4.5 A.1.a: Data generated from surveys

4.4.5 A.2: Read, interpret, select, construct, analyze, generate questions about, and draw inferences from displays of data.

4.4.5 A.2.a: Bar graph, line graph, circle graph, table

4.4.5 A.2.b: Range, median, and mean

4.4.5 B: Probability

4.4.5 B.1: Determine probabilities of events.

4.4.5 B.1.a: Event, probability of an event

4.4.5 B.1.b: Probability of certain event is 1 and of impossible event is 0

4.4.5 B.2: Determine probability using intuitive, experimental, and theoretical methods (e.g., using model of picking items of different colors from a bag).

4.4.5 B.2.a: Given numbers of various types of items in a bag, what is the probability that an item of one type will be picked

Correlation last revised: 5/18/2018

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