Standards

1.1.1: Model, and compare rational numbers with an emphasis on integers

Comparing and Ordering Integers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

1.1.3: Use rates, ratios, and percents to solve problems

Estimating Population Size

Part:Part and Part:Whole Ratios

Percents and Proportions

Polling: Neighborhood

1.1.4: Locate rational numbers (with an emphasis on integers) on a number line

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Real Number Line - Activity A

1.1.5: Interpret, model, and use percents greater than 100 and less than 1 to solve problems

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

1.1.6: Determine the prime factorization of a number less than 1000 and express the prime factorization using exponents when applicable

Finding Factors with Area Models

1.2.1: Develop and analyze algorithms and compute with integers

Adding and Subtracting Integers with Chips

1.2.2: Multiply and divide fractions and mixed numbers

Dividing Fractions

Dividing Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

1.2.3: Compute with squares and cubes, with an emphasis on finding area, surface area, and volume

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

1.2.4: Solve problems involving percentages (including percent increase and decrease, interest rates, tax, discount, tips, and part-whole relationships)

Percent of Change

Percents and Proportions

Simple and Compound Interest

1.2.5: Apply order of operations including exponents, to simplify calculations and evaluate expressions

Exponents and Power Rules

Order of Operations

1.2.6: Develop and use strategies to estimate the results of integer computations and judge the reasonableness of results

Adding and Subtracting Integers with Chips

Estimating Population Size

Estimating Sums and Differences

1.2.7: Use referent numbers in estimating answers to calculations with fractions and percents (e.g., 12 x 3/8 < 6, since 3/8 < 1/2 and 1/2 of 12 is 6)

Estimating Population Size

Estimating Sums and Differences

1.3.2: Use inverse operations (addition and subtraction, multiplication and division) to solve problems and check solutions involving calculations with integers

Adding and Subtracting Integers

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Order of Operations

Solving Two-Step Equations

1.3.3: Apply the associative, commutative, and distributive properties to simplify computations with rational numbers (with an emphasis on integers)

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

1.3.5: Apply the property of additive inverses to determine solutions of equations

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

2.1.1: Find, use, and interpret measures of center and spread, including mean and interquartile range for given or derived data

Box-and-Whisker Plots

Line Plots

Mean, Median and Mode

2.2.1: Compute experimental probabilities from a set of data and theoretical probabilities for single and simple compound events, using various methods (e.g., organized lists, tree diagrams, area models)

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Permutations and Combinations

2.2.2: Determine probabilities of simple independent and dependent events

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

2.2.3: Compare experimental probability of an event with the theoretical probability and explain any difference

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

2.2.4: Determine all possible outcomes of a particular event or all possible arrangements of objects in a given set by applying various methods including tree diagrams and systematic lists

2.3.2: Identify situations in which it makes sense to sample and identify methods for selecting a sample (e.g., convenience sampling, responses to survey, random sampling) that are representative of a population

2.3.3: Distinguish between random and biased samples and identify possible sources of bias in sampling

2.3.4: Represent and interpret data using frequency distribution tables, box-and whisker-plots, stem-and-leaf plots, and single- and multiple- line graphs

Box-and-Whisker Plots

Describing Data Using Statistics

Populations and Samples

Stem-and-Leaf Plots

2.3.5: Determine the graphical representation of a set of data that best shows key characteristics of the data

Box-and-Whisker Plots

Line Plots

Stem-and-Leaf Plots

2.4.1: Analyze data from frequency distribution tables, box-and whisker-plots, stem-and-leaf plots using measures of center and spread and draw conclusions

Box-and-Whisker Plots

Line Plots

Mean, Median and Mode

Populations and Samples

Stem-and-Leaf Plots

2.4.2: Predict and evaluate how adding data to a set of data affect measures of center

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

3.1.1: Represent, analyze and determine rules for finding patterns involving integers with tables, graphs, words, and when possible, symbolic rules

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

Using Tables, Rules and Graphs

3.2.1: Algebraically represent situations and solve problems involving linear equations and inequalities

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

3.2.3: Interpret algebraic relationships represented by two-column tables, number lines and coordinate graphs (four quadrants)

Linear Functions

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Real Number Line - Activity A

Using Tables, Rules and Graphs

3.2.4: Graph linear equations on a coordinate grid by making a table using integer coordinates

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Solving Equations By Graphing Each Side

Standard Form of a Line

Using Tables, Rules and Graphs

3.3.1: Model situations, make predictions and inferences, and solve problems using linear equations

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

3.3.2: Recognize and represent direct variation using tables, graphs, and equations

Determining a Spring Constant

Direct Variation

Direct and Inverse Variation

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

3.3.3: Identify and sketch a graph that models a given situation

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

3.4.1: Identify and describe how a change in one variable relates to a change in a second variable

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Using Algebraic Equations

4.1.1: Select the most appropriate unit to measure surface area and volume

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.1.2: Convert from a measurement expressed in one unit within a system to another using a different unit within the same system to measure surface and volume

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.2.1: Develop and use strategies and formulas for calculating surface area and volume of right prisms, pyramids, and cylinders

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

4.2.2: Develop strategies for determining approximate volumes of irregular shapes

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.2.3: Determine surface area and volume of three-dimensional block constructions, given a two-dimensional representation

3D and Orthographic Views - Activity A

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

4.2.4: Compare and contrast the formulas for surface area and volume of prisms and pyramids

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

4.2.5: Create examples of rectangular prisms having the same volume, but different surface areas

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

4.2.6: Describe what happens to the surface area and volume of a solid when its shape is changed

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.2.7: Use referents to make estimates of surface area and volume and evaluate the reasonableness of the estimate

Estimating Population Size

Estimating Sums and Differences

5.1.1: Determine defining properties that characterize classes of quadrilaterals including side and angle measurements and their component parts (e.g., altitudes, medians, diagonals, bisectors)

Classifying Quadrilaterals - Activity A

Special Quadrilaterals

5.1.2: Identify parallel and intersecting lines and pairs of angles formed (right, vertical, adjacent) by parallel lines cut by a transversal and determine their measure

Investigating Angle Theorems - Activity A

5.1.3: Use proportional reasoning, drawings, models or technology to demonstrate congruence and similarity of polygons with an emphasis on quadrilaterals

Classifying Quadrilaterals - Activity A

Similar Figures - Activity A

5.1.4: Determine the measures of missing sides and angles in congruent quadrilaterals and their component parts

Classifying Quadrilaterals - Activity A

5.2.1: Model, sketch, and label prisms, pyramids, cylinders, and quadrilaterals with specified side lengths or angle measures

Classifying Quadrilaterals - Activity A

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Prisms and Cylinders

5.2.2: Use two-dimensional representation of three-dimensional objects, including nets, to solve problems involving surface area and volume

3D and Orthographic Views - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

5.3.1: Identify properties of quadrilaterals and their component parts on a coordinate graph

Classifying Quadrilaterals - Activity A

5.4.1: Determine the image of a point (with integer coordinates) on a graph under translations and reflections

Reflections

Rotations, Reflections and Translations

Correlation last revised: 10/24/2008

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