Grade Level Expectations

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.

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.

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.

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

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.

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

1.2.1: 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).

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

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

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

1.3.1: 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.

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.

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.

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 â€˜andâ€™ and â€˜orâ€™ (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.

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

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).

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).

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.

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.

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.

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

3.1.1: 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).

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

3.3.2: 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

4.1.2: 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

4.2.1: 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

5.1.1: 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

5.2.1: 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