### B: Number Operations and Relationships

#### B.a: Concepts

B.a.1: Recognize and apply place-value concepts to numbers less than 100,000,000 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").

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 percents with and without contexts (e.g.,sales tax and discounts, 40 is 25 percent of what number?; What number is 25 percent of 160?)

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

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

#### B.b: Computation

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

B.b.2: Solve problems involving percents with and without context.

B.b.2.a: Add and subtract decimals including thousandths with and without text.

B.b.2.b: Multiply decimals and integers (-100 to 100) including thousandths with and without context. (Ex. interest rates)

B.b.3: Demonstrate understanding of the concept of division of fractions in a contextual setting.

B.b.4: Add and subtract mixed numbers and fractions with unlike denominators, multiply mixed numbers.

B.b.5: Estimate the sum, difference and product of whole numbers, common fractions, mixed numbers and decimals to thousandths.

### C: Geometry

#### C.a: Describing Figures

C.a.1: Name 3-dimensional figures (e.g., rectangular prisms, square pyramids, cones, cylinders and spheres.)

C.a.2: Find the measure of the third angle of a triangle when given the measures of two interior or exterior angles.

C.a.3: Determine the sum of the angles of a polygon using diagonals drawn from one vertex.

C.a.4: Determine the measure of an angle in a drawing of an adjacent and supplementary or adjacent and complementary pair of angles when given the measure of the other angle.

#### 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 all four quadrants; draw or identify the reflection of a point across the x- or y-axis or the translation of a point at integer coordinates in any of the four quadrants.

C.c.2: Locate or plot coordinates in any of 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.c: Indirect Measurement

D.c.1: Estimate area given a reference.

D.c.2: Determine perimeter/circumference and area of polygons and circles with and without context.

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

D.c.4: Determine volume and surface area of cylinders, rectangular prisms and pyramids with base shapes of triangle, square, regular pentagon and regular hexagon in real-world context.

D.c.5: Draw similar figures in any shape using a scale factor (e.g., enlarge/shrink).

D.c.6: Use ratio and proportion in context.

D.c.7: Use d = r*t formula in simple contexts.

### E: Statistics and Probability

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

E.a.1: Compare two sets of data to generate or confirm/deny hypotheses.

E.a.2: Extract, interpret and analyze data including multiple representations of the same data from tables, double back-to-back stem-and-leaf plots, double bar graphs, simple circle graphs, line plots, line graphs, charts and diagrams with and without context.

E.a.3: Create graph with one-variable data sets using back-to-back stem-and-leaf plots, double bar graphs, circle graphs, line plots and line graphs; discuss appropriateness of graph selected.

E.a.4: Find mean, median (with odd or even number of data), mode and range of a set of data with and without context.

E.a.5: 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 or two dependent or independent events.

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.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.

F.a.2: Describe and analyze in words functional relationships in two concurrent numeric patterns using multiplication and exponents and describe the relationship in words.

F.a.3: Extend an increasing or decreasing arithmetic or geometric pattern.

F.a.4: Describe and interpret linear patterns in tables and graphs.

F.a.5: Identify the rule to complete or extend a function table or any combination of the two using one or two operations (+, -, x, ÷) and numbers (-100 through 100) in the function table..

F.a.6: Describe real-world phenomena represented by a graph. Describe real-world phenomena that a given graph might represent.

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

F.b.2: Solve single-variable one- and two-step equations with whole number, whole number integer, or rational, coefficients with and without context.

F.b.3: Find values of expressions with one variable and up to two operations including basic operations and exponents.

F.b.6: Create a corresponding algebraic expression when given an arithmetic operation/relationship expressed in words.

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 or one-variable expressions when using commutative or associative properties with addition and multiplication.

F.c.2: Demonstrate understanding of up to four-step order of operations expression using parentheses, exponents and fraction symbol.

F.c.3: Demonstrate understanding of distributive property without variables.

F.c.4: Solve order of operations problems with one variable to demonstrate understanding of commutativity and associativity.

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.