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.

 Sums and Differences with Decimals

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).

 Chocomatic (Multiplication, Arrays, and Area)
 Fraction Garden (Comparing Fractions)
 Number Systems

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").

 Adding Fractions (Fraction Tiles)
 Comparing and Ordering Decimals
 Fraction Garden (Comparing Fractions)
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

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

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

 Chocomatic (Multiplication, Arrays, and Area)
 Finding Factors with Area Models

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?.

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Toy Factory (Set Models of Fractions)

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

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

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

 Fraction Garden (Comparing Fractions)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Toy Factory (Set Models of Fractions)

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.

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Real-Time Histogram

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

 Sums and Differences with Decimals

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

 Multiplying with Decimals

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

 Dividing Mixed Numbers

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

 Adding Fractions (Fraction Tiles)
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers

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

 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Proportions and Common Multipliers
 Sums and Differences with Decimals

B.b.5: Determine reasonableness of answers.

 Estimating Sums and Differences

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.

 Classifying Quadrilaterals
 Special Parallelograms

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

 Classifying Quadrilaterals
 Special Parallelograms

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

 Triangle Angle Sum

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.

 Similar Figures
 Similarity in Right Triangles

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

 Similar Figures

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

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

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.

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

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

 City Tour (Coordinates)
 Dilations
 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Rotations, Reflections, and Translations
 Slope

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.

 Unit Conversions

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

 Unit Conversions

D.b: Direct Measurement

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

 Elapsed Time

D.c: Indirect Measurement

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

 Area of Parallelograms
 Perimeter and Area of Rectangles

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

 Points in the Coordinate Plane

E: Statistics and Probability

E.a: Data Analysis and Statistics

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

 Box-and-Whisker Plots

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.

 Elevator Operator (Line Graphs)
 Graphing Skills
 Mean, Median, and Mode
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

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.

 Graphing Skills
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

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

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

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

 Box-and-Whisker Plots
 Correlation
 Graphing Skills
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

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.

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

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

 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

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

 Geometric Probability
 Independent and Dependent Events
 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

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

 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

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

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

 Function Machines 1 (Functions and Tables)

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

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns

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

 Geometric Sequences
 Graphing Skills

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

 Function Machines 1 (Functions and Tables)

F.b: Expressions, Equations and Inequalities

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

 Absolute Value Equations and Inequalities
 Linear Inequalities in Two Variables

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.

 Equivalent Algebraic Expressions I

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

 Compound Interest
 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line
 Solving Two-Step Equations
 Using Algebraic Equations
 Using Algebraic Expressions

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

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences
 Pattern Finder

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

 Area of Triangles

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.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

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

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Order of Operations

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

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

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.