1: The student understands and applies the concepts and procedures of mathematics.

1.1: Understand and apply concepts and procedures from number sense.

1.1.1: Understand the concept of rational numbers including whole number powers and square roots of square numbers.

1.1.1.c: Identify a square number and find its root.

Square Roots

1.1.1.d: Identify different representations of rational numbers and select the best representation in the situation (e.g., percent for sales discount or sales tax, fraction for probability, and decimals for money, distance [4.35 kilometers], batting averages).

Improper Fractions and Mixed Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals

1.1.2: Understand the relative values of rational numbers including whole number powers and square roots of square numbers.

1.1.2.a: Compare and order rational numbers using models or implementing strategies.

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

1.1.2.b: Order different representations of rational numbers.

Improper Fractions and Mixed Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals

1.1.2.c: Place symbolic representations of rational numbers on a number line including whole number powers and square roots of square numbers.

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

1.1.4: Apply ratio, percent, and direct proportion in situations.

1.1.4.a: Solve problems involving ratio and proportion (e.g., similar figures, scale drawings, rates, find unit pricing, increase or decrease a recipe, find the portions for a group converting between different units of measure, or finding medicinal dosages).

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Geometric Probability - Activity A
Part:Part and Part:Whole Ratios
Perimeters and Areas of Similar Figures
Polling: Neighborhood
Proportions and Common Multipliers
Similar Figures - Activity A
Similar Polygons

1.1.4.b: Solve problems involving percentages (e.g., percent increase/decrease, tax, commission, discount).

Percent of Change
Percents and Proportions

1.1.4.c: Explain advantages and disadvantages of different representations of ratios or percents in a given situation (e.g., using 1/8 versus 12 1/2 %).

Estimating Population Size
Part:Part and Part:Whole Ratios
Percents and Proportions
Polling: Neighborhood

1.1.4.d: Determine an unknown value for a dimension or a number of events or objects using ratio or proportion.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Part:Part and Part:Whole Ratios
Polling: Neighborhood
Proportions and Common Multipliers

1.1.4.e: Complete a proportion in a situation.

Estimating Population Size

1.1.5: Understand the meaning of operations on rational numbers (including square roots of square numbers and whole number powers).

1.1.5.c: Demonstrate or describe the meaning of multiplication and division of integers using words, visual, or physical models.

Order of Operations

1.1.5.d: Create a problem situation involving multiplication or division of integers.

Order of Operations

1.1.5.e: Explain solutions when dividing by fractions (e.g., when dividing by a number between 0 and 1, the result is larger than the dividend).

Dividing Fractions
Dividing Mixed Numbers

1.1.6: Apply computational procedures with fluency on rational numbers including whole number powers and square roots of square numbers.

1.1.6.a: Compute with rational numbers using order of operations.

Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Order of Operations
Sums and Differences with Decimals

1.1.6.b: Compute fluently with rational numbers in all forms except exponential.

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

1.1.6.c: Write and solve problems that involve computation with rational numbers.

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

1.1.6.d: Solve problems using rational numbers with whole number powers.

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

1.1.7: Understand and apply strategies and tools to complete tasks involving computation on rational numbers.

1.1.7.d: Use calculators to compute square roots of perfect squares greater than 100.

Square Roots

1.1.8: Apply estimation strategies to predict or determine the reasonableness of answers in situations involving computation on rational numbers in any form including whole number powers and square roots of square numbers.

1.1.8.d: Describe various strategies used during estimation involving integers.

Estimating Population Size
Estimating Sums and Differences

1.2: Understand and apply concepts and procedures from measurement.

1.2.1: Analyze how a change in a linear dimension affects volume and surface area of rectangular prisms and right cylinders.

1.2.1.a: Compare the impact that a change in one dimension has on volume and surface area in right cylinders and rectangular prisms.

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

1.2.1.b: Describe the relationships among linear dimensions, volume, and surface area (e.g., changing the length of a side affects the surface area and volume).

Prisms and Cylinders - Activity A

1.2.1.c: Solve problems involving the effects of changes in one dimension on area (e.g., given a box with certain dimensions, make the volume of the box y cubic units by changing only one dimension of the box).

Area of Parallelograms - Activity A
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A

1.2.2: Understand and apply derived units of measurement.

1.2.2.a: Explain the concept of a rate.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

1.2.2.c: Find a rate of change in a situation (e.g., increase per year in stamp cost) and label the results.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

1.2.2.e: Use rate to determine a measured outcome.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

1.2.3: Understand why different situations require different levels of precision.

1.2.3.b: Justify the use of a unit of measure (e.g., measuring to order fencing requires a different precision than if one is selling land and needs to be precise about borders).

Triple Beam Balance

1.2.3.c: Compare situations for the level of precision needed.

Triple Beam Balance

1.2.3.d: Explain and give examples of situations that require more and less precision.

Triple Beam Balance

1.2.5: Understand and apply formulas including the Pythagorean Theorem to right prisms, right cylinders, and triangles.

1.2.5.a: Explain how to use a formula for finding the surface area and volume of a solid.

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

1.2.5.b: Find missing sides or area of right triangles (e.g., use the Pythagorean Theorem to find any of the missing values).

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

1.2.5.c: Calculate measures of objects for which no direct information is given (e.g., apply ratio, proportion, and scale to determine the area, surface area, and/or volume of a similar figure or solid).

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

1.2.5.d: Compare surface areas of shapes with given volumes (e.g., compare cost of material to make various right cylinder and right prism containers with a given volume).

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

1.2.6: Apply strategies to obtain reasonable estimates of volume and surface area measurements for right cylinders, right prisms, and of the lengths of sides of right triangles.

1.2.6.a: Estimate volume and surface area for right cylinders and right prisms.

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

1.2.6.b: Estimate the length of the remaining side of a right triangle given the lengths of two sides.

Classifying Triangles
Triangle Angle Sum - Activity A

1.2.6.c: Approximate distance or height in a problem situation using similar triangles or Pythagorean relationships (e.g., height of a flagpole using proportional reasoning, distance across a lake using Pythagorean relationship).

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Perimeters and Areas of Similar Figures
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Similar Figures - Activity A
Similar Polygons

1.3: Understand and apply concepts and procedures from geometric sense.

1.3.1: Apply understanding of characteristics and relationships among onedimensional, two-dimensional, and three-dimensional figures to solve problems.

1.3.1.b: Match or draw three-dimensional objects from different perspectives using the same properties and relationships (e.g., match to the correct net, draw the top view).

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

1.3.1.c: Draw and label with names and symbols, nets of prisms, and cylinders.

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

1.3.1.d: Describe everyday objects in terms of their geometric characteristics.

Classifying Triangles

1.3.1.e: Identify the two-dimensional components of three-dimensional figures.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

1.3.2: Apply understanding of similarity to two-dimensional figures.

1.3.2.a: Use properties of similarity to draw, describe, and compare two-dimensional figures.

Congruence in Right Triangles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures - Activity A
Similar Polygons

1.3.2.b: Find the length of a missing side or the measure of a missing angle of one of the figures, given two similar figures.

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

1.3.2.c: Create symmetrical, congruent, or similar figures using a variety of tools (e.g., ruler, pattern blocks, geoboards).

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

1.3.2.d: Draw a similar shape to a given shape.

Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

1.3.2.e: Use properties of circles, cylinders, and figures with rotational symmetry to compare figures.

Circles
Congruence in Right Triangles
Holiday Snowflake Designer
Prisms and Cylinders - Activity A
Proving Triangles Congruent
Surface and Lateral Area of Prisms and Cylinders

1.3.2.f: Create a scale drawing and label the scale and the dimensions.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

1.3.3: Understand and apply procedures to find distance between points in twodimensional representations.

1.3.3.a: Locate a missing vertex given the coordinates of the vertices of a regular polygon.

Points in the Coordinate Plane - Activity A

1.3.3.b: Apply the Pythagorean Theorem to find the length of a side of a right triangle or distance between two points.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

1.3.3.c: Explain a method for finding the missing side of a triangle in a real-world setting (e.g., the height of a totem pole or building).

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Perimeters and Areas of Similar Figures
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B
Similar Figures - Activity A
Similar Polygons

1.3.3.d: Describe the relationship of any two or more points on a coordinate grid.

Points in the Coordinate Plane - Activity A

1.3.3.e: Find the distance between two points on a coordinate grid including lines that are non-parallel with either axis (oblique).

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A

1.3.4: Understand and apply transformations to figures.

1.3.4.a: Identify and explain how a shape has been translated, reflected, or rotated with or without a grid (e.g., location of the North Star, rotate the Big Dipper).

Reflections
Rotations, Reflections and Translations
Translations

1.3.4.b: Use transformations (rotations, reflections, and translations) to draw or locate congruent two-dimensional figures.

Constructing Congruent Segments and Angles
Dilations
Reflections
Rotations, Reflections and Translations

1.3.4.e: Create a design using a combination of two or more transformations with one or two two-dimensional figures.

Finding Patterns

1.4: Understand and apply concepts and procedures from probability and statistics.

1.4.1: Understand the concept of compound events.

1.4.1.a: Determine and explain when events are compound.

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events

1.4.1.b: Explain the difference between compound events involving ‘and’ and ‘or’ (e.g., rolling a six and rolling an odd number vs. rolling a six or rolling an odd number).

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events

1.4.2: Understand and apply the procedures for comparing theoretical probability and empirical results for independent or compound events.

1.4.2.a: Calculate the probability of two independent events occurring simultaneously using various methods (e.g., organized list, tree diagram, counting procedures, and area model).

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Permutations
Permutations and Combinations

1.4.2.b: Explain the relationship between theoretical and empirical probability of compound events.

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

1.4.2.c: Predict the probability of outcomes of experiments and compare the predictions to empirical results.

Geometric Probability - Activity A
Probability Simulations

1.4.2.d: Design or create a situation that would produce a given probability (e.g., how many of each colored marble would it take to have a given probability of selecting one particular color?).

Geometric Probability - Activity A

1.4.2.e: Design a game using compound probabilities with equal chances of winning for all players.

Compound Independent Events
Compound Independent and Dependent Events
Independent and Dependent Events

1.4.3: Analyze how different samples of a population affect the data.

1.4.3.b: Describe a procedure for selecting an unbiased sample.

Polling: Neighborhood

1.4.3.c: Compare the results of a survey given two different sample groups.

Populations and Samples

1.4.4: Analyze variations in data to determine the effect on the measures of central tendency.

1.4.4.a: Identify clusters and outliers and determine how clusters or outliers may affect measures of central tendency.

Describing Data Using Statistics
Mean, Median and Mode

1.4.4.b: Alter a set of data so that the median is a more reasonable measure than the mean.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode

1.4.4.c: Use and interpret the most appropriate measure of central tendency and the range to describe a given set of data (e.g., the model hourly wage earned by eighth graders is $5.75 per hour and the range is $5.00 to $6.50; therefore, there are very small differences in hourly wages for eighth graders).

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode

1.4.5: Understand and apply data techniques to interpret bivariate data.

1.4.5.d: Draw trend lines with or without technology and make predictions about realworld situations (e.g., population trends, socio-economic trends).

Solving Using Trend Lines

1.4.5.f: Use observations about differences between two or more samples to make conjectures about the populations from which the samples were taken (e.g., age groups, regions of the U.S., genders, racial/ethnic distributions).

Populations and Samples

1.4.6: Evaluate how statistics and graphic displays can be used to support different points of view.

1.4.6.a: Critique the use of data and data displays for bivariate data.

Box-and-Whisker Plots
Describing Data Using Statistics
Histograms
Line Plots
Scatter Plots - Activity A
Stem-and-Leaf Plots

1.4.6.c: Determine whether a prediction is reasonable based on a trend line and explain the rationale.

Solving Using Trend Lines

1.5: Understand and apply concepts and procedures from algebraic sense.

1.5.1: Apply understanding of linear and nonlinear relationships to analyze patterns, sequences, and situations.

1.5.1.a: Extend, represent, or create linear and non-linear patterns and sequences using tables and graphs.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Finding Patterns
Geometric Sequences
Linear Functions
Linear Inequalities in Two Variables - Activity A
Using Tables, Rules and Graphs

1.5.1.b: Explain the difference between linear and non-linear relationships.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Linear Functions
Point-Slope Form of a Line - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5.1.c: Predict an outcome given a linear relationship (e.g., from a graph of profit projections, predict the profit).

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line

1.5.1.d: Use technology to generate linear and non-linear relationship.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Linear Functions
Point-Slope Form of a Line - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5.2: Analyze a pattern, table, graph, or situation to develop a rule.

1.5.2.a: Use technology to help develop a table or graph from an iterative definition (e.g., the number of cells doubles every hour starting with one cell at noon).

Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Introduction to Functions
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5.2.b: Explain the nature of changes in quantities in linear relationships using graphs, tables, or expressions.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5.2.c: Develop recursive equations that describe linear relations in terms of current and previous values (e.g., start = 7; Current = Previous + 5 would give a set of values (1,7),(2,12), (3,17) ...).

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A

1.5.2.d: Use words or algebraic symbols to describe a rule for a linear relationship between two sets of numbers (e.g., given a table, describe a rule).

Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5.3: Understand relationships between quantities including whole number exponents, square roots, and absolute value.

1.5.3.b: Explain the placement of numbers including square roots and exponents on a number line.

Real Number Line - Activity A

1.5.3.c: Model or describe a real-life situation using absolute value (e.g., the taxi-cab distance from one point to another can be represented by the sum of two absolute values).

Comparing and Ordering Integers
Real Number Line - Activity A

1.5.3.d: Use relational symbols to express relationships between rational numbers including percents, square roots, absolute value, and exponents.

Real Number Line - Activity A
Square Roots

1.5.4: Apply understanding of concepts of algebra to represent situations involving single-variable relationships.

1.5.4.a: Represent variable quantities through expressions, linear equations, inequalities, tables, and graphs of situations.

Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Introduction to Functions
Linear Functions
Linear Inequalities in Two Variables - Activity A
Point-Slope Form of a Line - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5.4.b: Write an expression, equation, or inequality with a single variable representing a situation or real-world problem.

Using Algebraic Equations
Using Algebraic Expressions

1.5.4.c: Identify and use variables to read and write relationships involving rational numbers.

Using Algebraic Equations

1.5.4.d: Model a given description or situation involving relationships with a graph or table.

Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Introduction to Functions
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5.4.e: Describe a situation involving relationships that matches a given graph.

Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Point-Slope Form of a Line - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A

1.5.4.f: Create a table or graph given a description of, or an expression for, a situation involving a linear or non-linear relationship.

Cubic Function Activity
Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Introduction to Functions
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5.5: Understand and apply the procedures for simplifying single-variable expressions.

1.5.5.a: Simplify expressions and evaluate formulas involving integers.

Dividing Exponential Expressions
Multiplying Exponential Expressions
Order of Operations

1.5.6: Understand and apply a variety of strategies to solve multi-step equations and one-step inequalities with one variable.

1.5.6.a: Solve multi-step equations and one-step inequalities with one variable.

Modeling and Solving Two-Step Equations
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations

1.5.6.b: Solve single variable equations involving parentheses, like terms, or variables on both sides of the equal sign.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations

1.5.6.c: Solve one-step inequalities (e.g., 2x < 6, x + 4 > 10).

Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

1.5.6.d: Solve real-world situations involving single variable equations and proportional relationships and verify that the solution is reasonable for the problem.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Similar Figures - Activity A
Similar Polygons
Solving Two-Step Equations

3: The student uses mathematical reasoning.

3.1: Analyze information.

3.1.1: Analyze information from a variety of sources to interpret and compare information.

3.1.1.a: Predict the probability of outcomes of experiments and compare the prediction to empirical results.

Geometric Probability - Activity A
Probability Simulations

3.1.1.b: Predict an outcome given a linear relationship and a particular input (e.g., from a graph of profit projections, predict the profit in 2005).

Linear Functions

3.2: Make predictions, inferences, conjectures, and draw conclusions.

3.2.2: Apply the skills of drawing conclusions and support those conclusions using evidence.

3.2.2.a: Draw conclusions from displays, texts, or oral discussions and justify those conclusions with logical reasoning or other evidence (e.g., read an editorial or ad, draw a conclusion and support that conclusion with evidence in the article or elsewhere).

Biconditional Statement
Conditional Statement

3.3: Verify results.

3.3.2: Analyze thinking and mathematical ideas using models, known facts, patterns, relationships, or counter examples.

3.3.2.a: Explain why a given rational number is greater than or less than another rational number.

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

4: The student communicates knowledge and understanding in both everyday and mathematical language.

4.1: Gather information.

4.1.2: Synthesize information from multiple sources using reading, listening, and observation.

4.1.2.b: Model the relationship with a table or graph given a description of, or an equation for, a situation involving an inequality or linear relationship.

Linear Functions
Using Tables, Rules and Graphs

4.2: Organize, represent, and share information.

4.2.1: Apply organizational skills for a given purpose.

4.2.1.a: Design and conduct a simulation, with and without technology, to determine the probability of an event occurring.

Geometric Probability - Activity A
Probability Simulations

4.2.2: Apply communication skills to clearly and effectively express or present ideas and situations using mathematical language or notation.

4.2.2.a: Articulate various strategies used during estimation involving integers.

Estimating Population Size
Estimating Sums and Differences

5: The student understands how mathematical ideas connect within mathematics, to other subject areas, and to real-life situations.

5.1: Relate concepts and procedures within mathematics.

5.1.1: Apply concepts and procedures from a variety of mathematical areas in a given problem or situation.

5.1.1.a: Solve problems involving ratio and proportion (e.g., similar figures, scale drawings, rates, find unit pricing, increase or decrease a recipe, find the portions for a group converting between different units of measure, or finding medicinal dosages).

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

5.1.1.b: Find the area of a circle given the coordinates of the center and a point on the circle.

Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B

5.2: Relate mathematical concepts procedures to other disciplines.

5.2.1: Analyze mathematical patterns and ideas to extend mathematical thinking and modeling to other disciplines.

5.2.1.b: Check to see if a corner is square using the Pythagorean Theorem.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

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.