Assessment Frameworks

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

Adding and Subtracting Integers

Order of Operations

6.8.03: Recognize, translate between, and apply multiple representations of rational numbers (decimals, fractions, mixed numbers, percents, and roots).

Comparing and Ordering Decimals

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying with Decimals

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

Square Roots

Sums and Differences with Decimals

6.8.04: Use scientific notation to represent numbers and solve problems.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

6.8.06: Order and compare rational numbers.

Comparing and Ordering Decimals

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

6.8.07: Identify and locate rational and irrational numbers (e.g., pi, the square root of 2, the square root of 5) on a number line.

Rational Numbers, Opposites, and Absolute Values

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

Chocomatic (Multiplication, Arrays, and Area)

Finding Factors with Area Models

Operations with Radical Expressions

Square Roots

6.8.09: Solve problems and number sentences involving addition, subtraction, multiplication, and division using rational numbers, exponents, and roots.

Adding Fractions (Fraction Tiles)

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Operations with Radical Expressions

Square Roots

Sums and Differences with Decimals

6.8.10: Identify and apply order of operations to simplify numeric expressions involving integers (including exponents and roots), fractions, and decimals.

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

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

Adding and Subtracting Integers

Adding on the Number Line

Equivalent Algebraic Expressions I

6.8.11.b: the distributive property;

Equivalent Algebraic Expressions II

Square Roots

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

Adding and Subtracting Integers

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

6.8.12: Describe the effect of multiplying and dividing by numbers, including the effect of multiplying or dividing a rational number by:

6.8.12.a: a number less than zero;

Adding and Subtracting Integers

6.8.12.c: a number between zero and one; and

Adding and Subtracting Integers

6.8.12.d: a number greater than one.

Adding and Subtracting Integers

6.8.13: Select, use, and justify appropriate operations, methods, and tools to compute or estimate with rational numbers. Verify solutions and determine the reasonableness of results.

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

6.8.14: Estimate the square or cube root of a number less than 1,000 between two whole numbers (e.g., the cubed root of 200 is between 5 and 6).

6.8.15: Use ratios to describe problem situations.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Road Trip (Problem Solving)

6.8.16: Use proportional reasoning to model and solve problems.

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

6.8.17: Read, write, recognize, model, and interpret percents, including those less than 1% and greater than 100%.

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

6.8.18: Solve number sentences and problems involving fractions, decimals, and percents (e.g., percent increase and decrease, interest rates, tax, discounts, tips).

Comparing and Ordering Decimals

Compound Interest

Estimating Sums and Differences

Multiplying with Decimals

Percent of Change

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Real-Time Histogram

Sums and Differences with Decimals

Time Estimation

7.8.02: Solve problems involving perimeter/circumference and area of polygons, circles, 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)

Circumference and Area of Circles

Perimeter and Area of Rectangles

Perimeters and Areas of Similar Figures

7.8.03: Compare and estimate length (including perimeter/circumference), area, volume, weight/mass, and angles (0° to 360°) using referents.

7.8.04: Solve problems involving the volume or surface area of a right rectangular prism, right circular cylinder, or composite shape using an appropriate formula or strategy.

Prisms and Cylinders

Surface and Lateral Areas of Prisms and Cylinders

7.8.05: Solve problems involving unit conversions within the same measurement system for length, weight/mass, capacity, square units, and measures expressed as rates (e.g., converting feet/second to yards/minute).

7.8.06: Solve problems involving scale drawings, maps, and indirect measurement (e.g., determining the height of a building by comparing its known shadow length to the known height and shadow length of another object).

Perimeters and Areas of Similar Figures

Points in the Coordinate Plane

Similar Figures

8.8.01: Analyze, extend, and create sequences or linear functions, and determine algebraic expressions to describe the nth term of a sequence.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Geometric Sequences

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

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

8.8.03: Simplify algebraic expressions.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Multiplying Exponential Expressions

Operations with Radical Expressions

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

8.8.04: Recognize and generate equivalent forms of algebraic expressions.

Dividing Exponential Expressions

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Exponents and Power Rules

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Multiplying Exponential Expressions

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

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

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Standard Form of a Line

8.8.08: 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

8.8.09: Interpret the meaning of slope and intercepts in linear situations.

Cat and Mouse (Modeling with Linear Systems)

Compound Interest

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Linear Functions

Point-Slope Form of a Line

Points, Lines, and Equations

Slope-Intercept Form of a Line

Solving Equations by Graphing Each Side

Standard Form of a Line

8.8.10: Identify, graph, and interpret up to two inequalities with a single variable (including the intersection or union of these inequalities) on a number line.

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

Linear Inequalities in Two Variables

Solving Equations by Graphing Each Side

8.8.12: Solve linear equations and inequalities in one variable over the rational numbers (e.g., 5x+7= -13, 4x-3= -7x+8, -2x+3>-5).

Solving Algebraic Equations II

Solving Linear Inequalities in One Variable

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

9.8.02: Solve problems that require knowledge of triangle and quadrilateral properties (e.g., triangle inequality).

Classifying Quadrilaterals

Concurrent Lines, Medians, and Altitudes

Parallelogram Conditions

Similarity in Right Triangles

Special Parallelograms

Triangle Angle Sum

Triangle Inequalities

9.8.04: Identify, describe, and determine the radius, diameter, and circumference of a circle and their relationship to each other and to pi.

Circumference and Area of Circles

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

City Tour (Coordinates)

Points in the Coordinate Plane

9.8.06: Represent and identify geometric figures using coordinate geometry, including those resulting from transformations.

9.8.07: Analyze the results of a combination of transformations, and determine a different transformation that could produce the same result.

9.8.08: Identify or analyze relationships of angles formed by intersecting lines (including parallel lines cut by a transversal) and angles formed by radii of a circle.

Inscribed Angles

Triangle Angle Sum

9.8.09: Solve problems involving vertical, complementary, and supplementary angles.

Investigating Angle Theorems

Triangle Angle Sum

9.8.11: Solve problems involving congruent and similar figures.

Perimeters and Areas of Similar Figures

Similar Figures

Similarity in Right Triangles

9.8.12: Relate absolute value to distance on the number line.

Absolute Value with Linear Functions

Rational Numbers, Opposites, and Absolute Values

10.8.01: Read, interpret (including possible misleading characteristics), and make predictions from data represented in a bar graph, line (dot) plot, Venn diagram (with two or three circles), chart/table, line graph, scatterplot, circle graph, stem-and-leaf plot, or histogram.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

10.8.02: Compare and contrast the effectiveness of different representations of the same data.

10.8.03: Create a bar graph, chart/table, line graph, or circle graph and solve a problem using the data in the graph for a given set of data.

Earthquakes 1 - Recording Station

Reaction Time 1 (Graphs and Statistics)

10.8.04: Identify or draw a reasonable approximation of the line of best fit from a set of data or a scatter plot, and use the line to make predictions.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Trends in Scatter Plots

10.8.05: Analyze and apply measures of central tendency (mode, range, median, and mean) in problem-solving situations.

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

10.8.06: Solve problems involving the probability of an event composed of repeated trials, compound events (including independent events), or future events with or without replacement.

Independent and Dependent Events

Theoretical and Experimental Probability

10.8.07: Represent all possible outcomes (sample space) for simple or compound events (e.g., tables, grids, tree diagrams).

Independent and Dependent Events

Permutations and Combinations

Theoretical and Experimental Probability

10.8.08: Solve simple problems involving the number of ways objects can be arranged (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.