### B: Number Operations and Relationships

#### B.a: Concepts

B.a.1: Recognize and apply place-value concepts to whole numbers less than 10,000,000.

B.a.2: Read, write and represent numbers using words, numerals, pictures (base-ten blocks), number lines, , arrays, expanded forms (12,436=10,000+2,000+400+30+6) and symbolic renaming e.g., 12,436=12,450-14.

B.a.3: Compare and order numbers less than 100,000 represented in numbers, arrays, symbols (<, >, =) and words.

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

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

B.a.4.b: divisibility potential of numbers (divisors of 1-10, 25).

B.a.5: Read, write and identify monetary amounts represented with visual models.

B.a.6: Compare and order monetary amounts.

B.a.7: Equate a monetary value with its benchmark fraction and percent. (Eg. \$.25=1/4=25%)

B.a.8: Demonstrate basic understanding of proportionality in proportional contexts.

B.a.9: Read, write, identify, order, compare and mixed fractions.

B.a.10: Represent fractions using numbers, pictures, and number lines.

B.a.12: Identify and represent equivalence between fractions, percents, and decimals.

#### B.b: Computation

B.b.2: Solve three and four-digit addition and subtraction with regrouping, multiplication of three-digit by two-digit numbers, division with single-digit divisors and four-digit dividends with two-step or mixed operation problems.

B.b.5: Rename improper fractions.

B.b.6: Add and subtract fractions with unlike denominators (halves, thirds, fourths, fifths, and tenths) with sums or differences between 0 and 1.

B.b.7: Estimate using basic whole number operations, benchmark fractions and benchmark decimals.

### C: Geometry

#### C.a: Describing Figures

C.a.1: Recognize and name polygons with 3, 4, 5, 6 or 8 sides.

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

C.b.1: Use tangrams to describe, model, and construct plane figures.

C.b.3: Describe and compare cubes, rectangular and triangular prisms and rectangular and triangular pyramids from nets (flat patterns).

C.b.4: Use slides, flips and turns on figures. Identify congruent shapes using figures that have been manipulated by one or two motions (slides, flips and turns).

C.b.5: Identify lines of symmetry and the number of lines of symmetry in figures and design shapes that have at least one line of symmetry.

#### C.c: Coordinate Systems

C.c.1: Identify and plot the coordinates of locations or objects on simple one quadrant grids using numbers only for coordinates, (e.g., (3, 2)).

### D: Measurement

#### D.a: Measurable Attributes

D.a.3: Make measurement conversions within a system between units (e.g., feet and yards; inches and yards; quarts and gallons; meters and centimeters; seconds and hours).

#### D.b: Direct Measurement

D.b.4: Determine and compare elapsed time in problem-solving situations.

#### D.c: Indirect Measurement

D.c.2: Determine the area of regular shapes including right triangles.

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

### E: Statistics and Probability

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

E.a.1: Formulate questions to collect, organize and display data.

E.a.2: Collect, organize and display data in appropriate graphs or charts.

E.a.3: Draw reasonable conclusions based on contextual data.

E.a.4: Use data to predict outcomes or trends from graphs and tables.

E.a.5: Extract, interpret and analyze data from single bar graphs, tables and charts, line plots, context, circle graphs and Venn diagrams.

E.a.6: Describe a given set of data of ten or fewer items/numbers using the terms mean, median, mode and range to extract information from organized charts, tables, graphs and Venn diagrams in problems with and without context.

#### E.b: Probability

E.b.1: Determine the likelihood of future events, predict outcomes of future events and test predictions using data from a variety of sources.

E.b.3: Determine the probability of events in context using words, percents or fractions.

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

### F: Algebraic Relationships

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

F.a.1: Recognize, extend, describe, create and replicate a variety of patterns including attribute, numeric and geometric patterns.

F.a.2: Represent patterns and relationships with pictures, table and charts.

F.a.3: Describe a rule that explains a functional relationship or pattern using addition, subtraction or multiplication rules.

F.a.4: Determine a future event in a pattern up to the tenth item when given the first five.

F.a.5: Solve simple two-step, two operation patterns. Ex: 5, 8, 6, 9, 7, 10, 8..... (Pattern: +3-2...)Represent patterns and relationships with pictures, table and charts.

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

F.b.1: Demonstrate basic understanding of equality and inequality using symbols (<, >, =) with multi-step, mixed operations.

F.b.2: Solve one-step equations with "box" variable and whole number coefficients in problems with and without context using whole number coefficients.

F.b.3: Solve two-step multi-operation equations with "box" or letter variable and whole number coefficients with and without context. Ex: 3 * "box" +1 = 7

F.b.4: Represent problem situations with one or two-step equations or expressions. Solve simple two-step, two operation patterns.

F.b.5: Solve two-step open sentences involving all operations.

F.b.6: Solve equations involving any two operations. Ex: 3 * 4 -2=?; Ex: 12/3 +1="box"; Ex: 5 * 2 - 1 = a

#### F.c: Properties

F.c.3: Simplify (evaluate) two-step numerical expressions using correct order of operations.

F.c.4: 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.