6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

6.7.02: Read, write, recognize, model, and interpret integers, including translating numerical expressions.

 Adding and Subtracting Integers
 Order of Operations

6.7.03: Recognize, translate between, and apply multiple representations of rational numbers (decimals, fractions, mixed numbers, and percents less than 100%).

 Fraction Garden (Comparing Fractions)
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)

6.7.04: Represent repeated factors using exponents.

 Exponents and Power Rules

6.7.05: Order and compare integers, terminating decimals, fractions, and mixed numbers.

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

6.7.06: Identify and locate integers, decimals, and fractions/mixed numbers on a number line, and estimate the locations of square roots.

 Adding on the Number Line
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values
 Square Roots

6.7.07: Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., square numbers, prime/composite, prime factorization, greatest common factor, least common multiple).

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

6.7.08: Solve problems and number sentences involving addition, subtraction, multiplication, and division using integers, fractions, and decimals.

 Adding Fractions (Fraction Tiles)
 Adding on the Number Line
 Addition of Polynomials
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Square Roots
 Sums and Differences with Decimals

6.7.09: Identify and apply order of operations to simplify numeric expressions involving whole numbers (including exponents), fractions, and decimals.

 Order of Operations

6.7.10: Identify and apply the following properties of operations with rational numbers:

6.7.10.a: the commutative and associative properties for addition and multiplication;

 Adding and Subtracting Integers
 Adding on the Number Line
 Equivalent Algebraic Expressions I

6.7.10.b: the distributive property;

 Equivalent Algebraic Expressions II
 Square Roots

6.7.10.d: the additive and multiplicative inverse properties; and

 Adding and Subtracting Integers
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

6.7.11: Demonstrate and apply the relationships between addition/subtraction and multiplication/division with rational numbers.

 Adding Fractions (Fraction Tiles)
 Adding and Subtracting Integers
 Adding on the Number Line
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fractions Greater than One (Fraction Tiles)
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

6.7.13: Estimate the square root of a number less than 1,000 between two whole numbers (e.g., the square root of 41 is between 6 and 7).

 Square Roots

6.7.14: Create and explain ratios that represent a given situation.

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Road Trip (Problem Solving)

6.7.15: Use proportional reasoning to model and solve problems.

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

6.7.16: Read, write, recognize, model, and interpret percents from 0% to 100%.

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals

6.7.17: Solve number sentences and problems involving fractions, decimals, and percents (e.g., 50% of 10 is the same as 1/2 of 10 is the same as 0.5×10, sales tax, tips, interest, discounts).

 Comparing and Ordering Decimals
 Compound Interest
 Estimating Sums and Differences
 Fraction Garden (Comparing Fractions)
 Multiplying with Decimals
 Percent of Change
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Real-Time Histogram
 Sums and Differences with Decimals
 Time Estimation
 Toy Factory (Set Models of Fractions)

7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

7.7.01: Select and use appropriate standard units and tools to measure length, mass/weight, capacity, and angles. Sketch, with given specifications, line segments, angles, triangles, and quadrilaterals.

 Beam to Moon (Ratios and Proportions)
 Classifying Quadrilaterals
 Measuring Trees
 Special Parallelograms

7.7.02: Solve problems involving the perimeter and area of polygons and composite figures using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles

7.7.03: Compare and estimate length (including perimeter), area, volume, weight/mass, and angles (0° to 180°) using referents.

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)

7.7.04: Determine the volume and surface area of a right rectangular prism using an appropriate formula or strategy.

 Prisms and Cylinders
 Surface and Lateral Areas of Prisms and Cylinders

7.7.05: Solve problems involving unit conversions within the same measurement system for length, weight/mass, capacity, and square units (e.g., 1 ft² = 144 in²).

 Unit Conversions

7.7.06: Solve problems involving scale drawings and maps.

 Dilations
 Points in the Coordinate Plane

8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

8.7.01: Determine a missing term in a sequence, extend a sequence, and construct and identify a rule that can generate the terms of an arithmetic or geometric sequence.

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns
 Geometric Sequences

8.7.02: Write an expression using variables to represent unknown quantities.

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

8.7.03: Simplify algebraic expressions by identifying and combining like terms.

 Addition of Polynomials
 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

8.7.04: Recognize equivalent forms of algebraic expressions.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Exponents and Power Rules
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Expressions

8.7.07: Represent linear equations and quantitative relationships on a rectangular coordinate system, and interpret the meaning of a specific part of a graph.

 Elevator Operator (Line Graphs)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Standard Form of a Line

8.7.08: Translate between different representations (table, written, graphical, or pictorial) of whole number relationships and linear expressions.

 Arithmetic Sequences
 Function Machines 1 (Functions and Tables)
 Geometric Sequences
 Points, Lines, and Equations

8.7.09: Identify, graph, and interpret inequalities on a number line.

 Absolute Value Equations and Inequalities
 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values
 Solving Linear Inequalities in One Variable

8.7.10: Represent and analyze problems with linear equations and inequalities.

 Linear Inequalities in Two Variables
 Solving Equations by Graphing Each Side

8.7.11: Solve linear equations in one variable (e.g., 2x + 3 = 13) and inequalities involving < or > (e.g., 2x<6, x+7>10).

 Modeling and Solving Two-Step Equations
 Solving Algebraic Equations II
 Solving Equations by Graphing Each Side

9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

9.7.01: Classify, describe, and sketch regular and irregular two-dimensional shapes according to the number of sides, length of sides, number of vertices, and interior angles.

 Classifying Quadrilaterals

9.7.02: Solve problems involving two- and three-dimensional shapes.

 Classifying Quadrilaterals

9.7.03: Solve problems using properties of triangles and quadrilaterals (e.g., opposite sides of a parallelogram are congruent).

 Concurrent Lines, Medians, and Altitudes
 Triangle Inequalities

9.7.04: Identify, describe, and determine the radius and diameter of a circle.

 Chords and Arcs
 Circles

9.7.05: Graph points and identify coordinates of points on the Cartesian coordinate plane (all four quadrants).

 City Tour (Coordinates)
 Points in the Coordinate Plane

9.7.11: Identify a three-dimensional object from its net.

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

9.7.14: Determine if figures are similar, and identify relationships between corresponding parts of similar figures.

 Similar Figures
 Similarity in Right Triangles

10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

10.7.01: Read, interpret, and make predictions from data represented in a bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, scatterplot, circle graph, or histogram.

 Correlation
 Graphing Skills
 Histograms
 Mean, Median, and Mode
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

10.7.02: Compare different representations of the same data.

 Correlation
 Graphing Skills

10.7.03: Create a bar graph, chart/table, line graph, or circle graph for a given set of data.

 Graphing Skills
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

10.7.04: Identify a reasonable approximation of the line of best fit from a set of data or a scatter plot.

 Correlation
 Solving Using Trend Lines
 Trends in Scatter Plots

10.7.05: Determine and use the mode, range, median, and mean to interpret data.

 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

10.7.06: Solve problems involving the probability of a simple or compound event, including representing the probability as a fraction, decimal, or percent.

 Independent and Dependent Events
 Theoretical and Experimental Probability

10.7.07: Represent all possible outcomes for simple events.

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

10.7.08: Solve simple problems involving the number of ways objects can be arranged (permutations and combinations).

 Permutations and Combinations

Correlation last revised: 5/10/2018

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