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.

 Modeling Decimals (Base-10 Blocks)

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.

 Chocomatic (Multiplication, Arrays, and Area)
 Fraction Garden (Comparing Fractions)
 Modeling Decimals (Base-10 Blocks)
 Modeling Fractions (Area Models)
 Number Systems
 Treasure Hunter (Decimals on the Number Line)

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

 Modeling Decimals (Base-10 Blocks)
 Rational Numbers, Opposites, and Absolute Values

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

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

 Chocomatic (Multiplication, Arrays, and Area)
 Factor Trees (Factoring Numbers)
 Finding Factors with Area Models

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

 Factor Trees (Factoring Numbers)

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

 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)

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

 Integers, Opposites, and Absolute Values
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)

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

 Modeling Decimals (Area and Grid Models)

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

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

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

 Adding Fractions (Fraction Tiles)
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Artist 2 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Modeling Fractions (Area Models)
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

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

 Adding Fractions (Fraction Tiles)
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Artist 2 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Modeling Fractions (Area Models)
 Toy Factory (Set Models of Fractions)

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

 Modeling Decimals (Area and Grid Models)
 Percents, Fractions, 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.

 Adding Decimals (Base-10 Blocks)
 Cargo Captain (Multi-digit Subtraction)
 Subtracting Decimals (Base-10 Blocks)

B.b.5: Rename improper fractions.

 Dividing Mixed Numbers
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers

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

 Adding Fractions (Fraction Tiles)
 Estimating Sums and Differences
 Fraction Artist 2 (Area Models of Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Modeling Fractions (Area Models)

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

 Adding Decimals (Base-10 Blocks)
 Estimating Sums and Differences
 Multiplying Decimals (Area Model)
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

B.b.8: Determine reasonableness of answers.

 Estimating Sums and Differences

C: Geometry

C.a: Describing Figures

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

 Classifying Triangles

C.b: Spatial Relationships and Transformations

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

 Area of Triangles

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

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

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).

 Absolute Value with Linear Functions
 Holiday Snowflake Designer
 Rock Art (Transformations)
 Rotations, Reflections, and Translations

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.

 Holiday Snowflake Designer
 Quilting Bee (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)).

 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Function Machines 2 (Functions, Tables, and Graphs)
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope

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).

 Unit Conversions

D.b: Direct Measurement

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

 Elapsed Time

D.c: Indirect Measurement

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

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles
 Pythagorean Theorem with a Geoboard

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

 Points in the Coordinate Plane

E: Statistics and Probability

E.a: Data Analysis and Statistics

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

 Describing Data Using Statistics
 Graphing Skills
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Stem-and-Leaf Plots
 Time Estimation

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

 Describing Data Using Statistics
 Distance-Time Graphs
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

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

 Polling: City
 Real-Time Histogram

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

 Graphing Skills
 Polling: City
 Trends in Scatter Plots

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

 Compound Inequalities
 Graphing Skills
 Mean, Median, and Mode
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)

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.

 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)

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.

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

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

 Geometric Probability
 Independent and Dependent Events
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

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

 Permutations and Combinations

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.

 Arithmetic Sequences
 Finding Patterns
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Geometric Sequences
 Pattern Finder

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

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)

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

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Function Machines 1 (Functions and Tables)
 Geometric Sequences

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

 Arithmetic Sequences
 Finding Patterns
 Geometric Sequences
 Pattern Finder

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.

 Arithmetic Sequences
 Finding Patterns
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Geometric Sequences
 Pattern Finder

F.b: Expressions, Equations and Inequalities

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

 Adding Decimals (Base-10 Blocks)
 Cargo Captain (Multi-digit Subtraction)
 Comparing and Ordering Decimals
 Multiplying Decimals (Area Model)
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Subtracting Decimals (Base-10 Blocks)

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

 Solving Algebraic Equations II
 Solving Equations on the Number Line
 Using Algebraic Expressions

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

 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Solving Two-Step Equations
 Using Algebraic Expressions

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

 Compound Interest
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Pattern Finder
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Solving Two-Step Equations
 Using Algebraic Equations

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

 Adding Decimals (Base-10 Blocks)
 Cargo Captain (Multi-digit Subtraction)
 Factor Trees (Factoring Numbers)
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side
 Solving Two-Step Equations
 Subtracting Decimals (Base-10 Blocks)
 Using Algebraic Expressions

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

 Modeling One-Step Equations
 Solving Equations on the Number Line

F.c: Properties

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

 Order of Operations

F.c.4: Demonstrate understanding of distributive property.

 Chocomatic (Multiplication, Arrays, and Area)
 Equivalent Algebraic Expressions II
 Solving Algebraic Equations II
 Square Roots

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.