### A: Number and Operations

#### A.1: Students will understand numerical concepts and mathematical operations

A.1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

A.1.1.2: Identify fractions as parts of unit wholes, as parts of groups, and as locations on number lines;

A.1.1.2.a: Use visual models and other strategies to compare and order commonly used fractions

A.1.1.2.b: Use models to show how whole numbers and decimals (to the hundredths place) relate to simple fractions (e.g., ½, 5/10, 0.5)

A.1.1.2.c: Identify different interpretations of fractions:

A.1.1.2.c.2: Ratio

A.1.1.2.c.3: Equivalence

A.1.1.2.c.4: Ordering of fractions

A.1.1.2.c.5: Parts of a whole or parts of a set

A.1.1.3: Add and subtract fractions with common and uncommon denominators using a variety of strategies (e.g., manipulative, numbers, pictures):

A.1.1.3.a: Recognize and generate equivalent decimal forms of commonly used fractions (e.g., halves, quarters, tenths, fifths)

A.1.1.4: Recognize classes of numbers (e.g., odd, even, factors, multiples, square numbers) and apply these concepts in problem solving situations.

A.1.2: Understand the meaning of operations and how they relate to one another.

A.1.2.2: Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems.

A.1.2.4: Demonstrate commutative, associative, identity, and zero properties of operations on whole numbers (e.g., 37 x 46 = 46 x 37 and (6 x 2) x 5 = 6 x (2 x 5)).

A.1.2.5: Demonstrate the concept of distributivity of multiplication over addition and subtraction (e.g., 7 x 28 is equivalent to (7 x 20) + (7 x 8) or (7 x 30) - (7 x 2)).

A.1.3: Compute fluently and make reasonable estimates.

A.1.3.2: Add, subtract, and multiply up to two double-digits accurately and efficiently.

A.1.3.3: Use a variety of strategies (e.g., rounding and regrouping) to estimate the results of whole number computations and judge the reasonableness of the answers.

A.1.3.4: Use strategies to estimate computations involving fractions and decimals.

### B: Algebra

#### B.1: Students will understand algebraic concepts and applications.

B.1.1: Understand patterns, relations, and functions.

B.1.1.1: Represent and analyze patterns and simple functions using words, tables, and graphs.

B.1.1.2: Create and describe numeric and geometric patterns including multiplication and division patterns.

B.1.2: Represent and analyze mathematical situations and structures using algebraic symbols.

B.1.2.2: Explore the uses of properties (commutative, distributive, associative) in the computation of whole numbers.

B.1.3: Use mathematical models to represent and understand quantitative relationships.

B.1.3.2: Model problem situations and use graphs, tables, pictures, and equations to draw conclusions (e.g., different patterns of change).

B.1.4: Analyze changes in various contexts.

B.1.4.3: Find and analyze patterns using data tables (e.g., T tables).

### C: Geometry

#### C.1: Students will understand geometric concepts and applications.

C.1.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems.

C.1.2.2: Use ordered pairs to graph, locate, identify points, and describe paths in the first quadrant of the coordinate plane.

C.1.3: Apply transformations and use symmetry to analyze mathematical situations.

C.1.3.2: Describe a motion or set of motions that will show that two shapes are congruent.

C.1.4: Use visualization, spatial reasoning, and geometric modeling to solve problems.

C.1.4.2: Use geometric models such as number lines, arrays, and computer simulations to investigate number relationships (e.g., patterns).

C.1.4.3: Explore relationships involving perimeter and area:

C.1.4.3.a: measure area of rectangular shapes and use appropriate units

C.1.4.3.c: use models and formulas to solve problems involving perimeter and area of rectangles and squares (e.g., arrays)

### D: Measurement

#### D.1: Students will understand measurement systems and applications.

D.1.1: Understand measurable attributes of objects and the units, systems, and process of measurement.

D.1.1.1: Select the appropriate type of unit for measuring perimeter and size of an angle.

D.1.1.5: Develop, understand, and use formulas to find the area of rectangles and related triangles and parallelograms.

D.1.1.6: Carry out simple conversions within a system of measurement (e.g., hours to minutes, meters to centimeters).

D.1.2: Apply appropriate techniques, tools, and formulas to determine measurements.

D.1.2.1: Estimate perimeters, areas of rectangles, triangles, and irregular shapes.

D.1.2.2: Find the area of rectangles, related triangles, and parallelograms.

D.1.2.3: Estimate, measure, and solve problems involving length, area, mass, time, and temperature using appropriate standard units and tools.

D.1.2.5: Compute elapsed time and make and interpret schedules.

### E: Data Analysis and Probability

#### E.1: Students will understand how to formulate questions, analyze data, and determine probabilities.

E.1.1: Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

E.1.1.1: Organize, represent, and interpret numerical and categorical data and clearly communicate findings:

E.1.1.1.a: choose and construct representations that are appropriate for the data set

E.1.1.1.b: recognize the differences in representing categorical and numerical data

E.1.1.2: Design investigations and represent data using tables and graphs (e.g., line plots, bar graphs, line graphs).

E.1.2: Select and use appropriate statistical methods to analyze data.

E.1.2.1: Compare and describe related data sets.

E.1.2.2: Use the concepts of median, mode, maximum, minimum, and range and draw conclusions about a data set.

E.1.2.3: Use data analysis to make reasonable inferences/predictions and to develop convincing arguments from data described in a variety of formats (e.g. bar graphs, Venn diagrams, charts, tables, line graphs, and pictographs).

E.1.3: Develop and evaluate inferences and predictions that are based on data.

E.1.3.2: Develop convincing arguments from data displayed in a variety of formats.

E.1.4: Understand and apply basic concepts of probability.

E.1.4.1: Describe events as "likely," "unlikely," or "impossible" and quantify simple probability situations:

E.1.4.1.a: represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams)

Correlation last revised: 1/20/2017

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