8.1: Numeration/Number Sense

8.1.1: Recognize natural numbers whole numbers, integers, and rational numbers.

Comparing and Ordering Integers

8.1.2: Determine equivalences among fractions, decimals, and percents.

8.1.2.A: Find the equivalencies among fractions, decimals, and percents.

Percents, Fractions and Decimals

8.1.4: Identify and display numbers including prime and composite, factors and multiples, divisibility, powers, and properties.

8.1.4.A: Properties of numbers may include, but not be limited to, order of operations, commutative, associative, distributive, identity, and inverse.

Order of Operations

8.2: Computation/Estimation

8.2.1: Add, subtract, multiply, and divide decimals and proper, improper, and mixed fractions with uncommon and common denominators with and without the use of technology.

Dividing Fractions
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying with Decimals
Sums and Differences with Decimals

8.2.3: Solve problems involving whole numbers, integers, and rational numbers (fractions, decimals, ratios, proportions, and percents) with and without the use of technology.

8.2.3.A: Use proportions to solve scale-model problems with fractions and decimals.

Estimating Population Size
Polling: Neighborhood
Proportions and Common Multipliers
Similar Figures - Activity A
Similar Polygons

8.2.4: Apply the order of operations to solve problems with and without the use of technology.

8.2.4.A: Evaluate all types of numerical expressions, including grouping symbols and exponents.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

8.2.5: Apply strategies of estimation when solving problems with and without the use of technology.

8.2.5.C: Without a calculator, estimate square roots of whole numbers up to one hundred to the nearest whole number.

Square Roots

8.3: Measurement

8.3.1: Select measurement tools and measure quantities for temperature, time, money, distance, angles, area, perimeter, volume, capacity, and weight/mass in standard and metric units at the designated level of precision.

Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area

8.4: Geometry/Spatial Concepts

8.4.1: Identify, describe, compare, and classify two-and three-dimensional geometric figures such as plane figures like polygons and circles; solid figures like prisms, pyramids, cones, spheres, and cylinders; and lines, line segments, rays, angles, parallel and perpendicular lines.

Classifying Quadrilaterals - Activity A
Classifying Triangles
Congruence in Right Triangles
Parallelogram Conditions
Prisms and Cylinders - Activity A
Proving Triangles Congruent
Pyramids and Cones - Activity A
Special Quadrilaterals
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

8.4.2: Use geometric properties, the Pythagorean theorem, and the relationships of congruence, similarity, and symmetry.

Congruence in Right Triangles
Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Holiday Snowflake Designer
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Similar Figures - Activity A
Similar Polygons

8.4.3: Use formulas to solve problems involving perimeter and area of a square, rectangle, parallelogram, trapezoid and triangle, as well as the area and circumference of circles.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Measuring Trees
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area
Special Quadrilaterals

8.4.4: Solve problems given formulas for volume and surface area of rectangular prisms, cylinders, and cones.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

8.4.5: Apply transformations to two-and three-dimensional geometric figures.

8.4.5.A: Draw geometric figures using translations or slides, rotations or turns, reflections or flips, and scale.

Reflections
Rotations, Reflections and Translations
Translations

8.5: Data Analysis, Probability, and Statistical Concepts

8.5.1: Collect, construct, and interpret data displays and compute mean, median, and mode.

8.5.1.A: Select appropriate representations of data when constructing data displays (graphs, tables, or charts).

Histograms

8.5.2: Read and interpret tables, charts, and graphs to make comparisons and predictions.

Histograms

8.5.3: Conduct experiments or simulations to demonstrate theoretical probability and relative frequency.

8.5.3.A: Compare the results of a simulation (relative frequency) to the theoretical probability (a three color spinner or a coin).

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

8.5.4: Identify statistical methods and probability for making decisions.

8.5.4.B: Identify the use of appropriate charts and graphs.

Histograms

8.5.4.C: Identify the use of measures of central tendency (mean, median, and mode) appropriately.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode

8.6: Algebraic Concepts

8.6.1: Demonstrate knowledge and use of the one- and two-dimensional coordinate systems.

8.6.1.A: Order numbers on a number line.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers

8.6.1.B: Graph ordered pairs on a coordinate plane.

Points in the Coordinate Plane - Activity A

8.6.1.C: Generate a table of ordered pairs to graph an equation in two variables.

Defining a Line with Two Points
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs

8.6.2: Apply algebraic concepts and operations to solve linear equations and word problems.

8.6.2.A: Solve multi-step equations with one variable.

Modeling and Solving Two-Step Equations
Solving Two-Step Equations

8.6.3: Describe and represent relations, using tables, graphs, and rules.

8.6.3.A: Use variables to recognize and describe patterns.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Using Algebraic Equations

Correlation last revised: 11/13/2008

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