### B: Number Operations and Relationships

#### B.a: Concepts

B.a.1: Recognize and apply place-value concepts to numbers less than 10,000,000 with decimals to the thousandths place.

B.a.2: Read, write and represent numbers using words, numerals, number lines, arrays, and expanded form (12.09=10+2+.09) and symbolic renaming (12.09= 13-.91).

B.a.3: Compare and order a set of fractions or decimals (to the hundredths place) and use symbols (<, >, =, "not equal to", "less than or equal to", "greater than or equal to").

B.a.4: Identify and use number theory concepts:

B.a.4.a: prime and composite numbers

B.a.5: Demonstrate understanding of fractions and benchmark percents in problems with context. e.g., Joe got six questions correct and two were wrong, what percent did he get correct?.

B.a.6: Apply proportional reasoning to a variety of problem situations. (E.g., comparisons and/or rates).

B.a.7: Identify equivalent forms of fractions, decimals and percents.

#### B.b: Computation

B.b.1: Use all operations in everyday situations (including monetary contexts) to solve single or multi-step word problems.

B.b.1.a: Solve problems involving percents with and without context.

B.b.1.b: Add and subtract decimals including thousandths with and without context.

B.b.1.c: Multiply decimals including hundredths with and without context.

B.b.2: Demonstrate understanding of the concept of division of fractions in a contextual setting.

B.b.3: Add, subtract, and multiply mixed numbers and fractions with like and unlike denominators.

B.b.4: Estimate the sum, difference and product of whole numbers, common fractions, mixed numbers and decimals to thousandths and estimate benchmark fractions.

### C: Geometry

#### C.a: Describing Figures

C.a.1: Name regular and irregular polygons up to eight sides and identify and justify by characteristics whether a shape is a polygon.

C.a.3: Classify shapes according to characteristics such as parallel and perpendicular lines; identify right, acute and obtuse angles with varied orientations.

C.a.4: Find the measure of the third angle of a triangle when given the measures of two interior angles.

#### C.b: Spatial Relationships and Transformations

C.b.1: Draw and/or describe a similar figure when given a polygon drawn on graph paper with vertices at lattice points.

C.b.3: Demonstrate understanding of similarity by finding the relationship between the sides of two figures.

C.b.4: Draw or identify the image of a figure based on one or more transformations (reflection, rotation and/or translation).

#### C.c: Coordinate Systems

C.c.1: Identify, locate, plot coordinates in the four quadrants and transformations of points across the x- or y-axis.

C.c.2: Locate or plot coordinates in the four quadrants using a geometric figure (e.g., transformations).

### D: Measurement

#### D.a: Measurable Attributes

D.a.2: Convert units within a system e.g., feet to yards; ounces to pounds; inches to feet; pints to quarts.

D.a.3: Approximate conversions of units between metric and U.S. customary systems using a model or in context (quart/liter; yard/meter).

#### D.b: Direct Measurement

D.b.2: Determine and compare elapsed time in problem-solving situations.

#### D.c: Indirect Measurement

D.c.2: Determine perimeter/circumference and area of squares, rectangles, triangles, parallelograms and circles in real-world context.

D.c.3: Determine the distance between points using a scale.

### E: Statistics and Probability

#### E.a: Data Analysis and Statistics

E.a.2: Evaluate a set of data to generate or confirm/deny hypotheses.

E.a.3: Extract, interpret and analyze data from tables, simple stem-and-leaf plots, simple bar graphs, line plots, line graphs, simple circle graphs, charts and diagrams.

E.a.4: Create graph with one-variable data sets using simple stem-and-leaf plots, bar graphs, circle graphs, line plots and line graphs; discuss appropriateness of graphs selected.

E.a.5: Find mean, median (with odd set of data), mode and range of a set of data with and without context.

E.a.6: Evaluate sources of data in context and multiple representations of a given data set.

#### E.b: Probability

E.b.1: Determine the likelihood of an event and probability based on one independent event, e.g., spinning the arrow on a spinner.

E.b.2: Use probabilities to estimate outcomes and evaluate fair and unfair simple events.

E.b.3: Use data from simulations provided in charts/tables to solve and interpret probability problems.

E.b.4: Describe and determine the number of combinations of selecting 3 items from 4 or more items.

E.b.5: Solve problems involving sample spaces or diagrams.

E.b.6: Analyze outcomes based on an understanding of theoretical and experimental probability.

### F: Algebraic Relationships

#### F.a: Patterns, Relations and Functions

F.a.1: Use two concurrent numeric patterns to describe and analyze functional relationships between two variables in two concurrent numeric patterns using addition and subtraction.

F.a.2: Extend a given arithmetic sequence of pictures or numbers.

F.a.3: Describe and interpret linear patterns in tables and graphs.

F.a.4: Identify the rule to complete or extend a function table or any combination of the two using one operation (+, -, x, ÷) and numbers (0 through 100) in the function table.

#### F.b: Expressions, Equations and Inequalities

F.b.1: Demonstrate understanding of equality and inequality and solve single-variable equations using symbols (<, >, =+).

F.b.2: Solve single-variable one-step equations and algebraic expressions with one variable and one operation and whole number coefficients with and without context.

F.b.5: Represent problem situations with one or two-step equations or expressions.

F.b.6: Describe in words the generalization for a given one-operation pattern.

F.b.7: Evaluate formulas with and without context by solving for a specified variable.

#### F.c: Properties

F.c.1: Identify a pair of equivalent numerical expressions where the commutative property of either addition or multiplication has been used.

F.c.2: Demonstrate understanding of up to three-step order of operations expression with and without context using parentheses and exponents.

F.c.3: Demonstrate understanding of distributive property.

Correlation last revised: 5/31/2018

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