Use the interactive applets in these standards-based lessons to improve
understanding of mathematical concepts.
| |
Measurement Standard |
| | By the end of the 8 - 10 program: |
| | A. | Solve increasingly complex non-routine measurement problems and check for reasonableness of results. |
| | Geometry - 2.1 Areas of Polygons |
| | B. | Use formulas to find surface area and volume for specified three-dimensional objects accurate to a specified level of precision. |
| | Geometry - 2.3 Surface Area |
| | Geometry - 2.4 Volume |
| | Geometry - 2.5 Review: Area, Surface, and Volume |
| | C. | Apply indirect measurement techniques, tools and formulas, as appropriate, to find perimeter, circumference and area of circles, triangles, quadrilaterals and composite shapes, and to find volume of prisms, cylinders, and pyramids. |
| | Geometry - 2.2 Circles |
| | Geometry - 2.3 Surface Area |
| | Geometry - 2.4 Volume |
| | Geometry - 2.5 Review: Area, Surface, and Volume |
| | D. | Use proportional reasoning and apply indirect measurement techniques, including right triangle trigonometry and properties of similar triangles, to solve problems involving measurements and rates. |
| | Geometry - 3.3 Similarity |
| | Geometry - 3.4 Review: Congruence |
| |
Geometry and Spatial Sense Standard |
| | By the end of the 5 - 7 program: |
| | A. | Identify and label angle parts and the regions defined within the plane where the angle resides. |
| | Geometry - 1.1 Building Blocks of Geometry |
| | Geometry - 1.3 Triangles and Polygons |
| | B. | Draw circles, and identify and determine the relationships among the radius, diameter, center and circumference. |
| | Geometry - 1.1 Building Blocks of Geometry |
| | D. | Identify, describe and classify types of line pairs, angles, two-dimensional figures and three-dimensional objects using their properties. |
| | Geometry - 1.1 Building Blocks of Geometry |
| | Geometry - 1.3 Triangles and Polygons |
| | F. | Describe and use the concepts of congruence, similarity and symmetry to solve problems. |
| | Geometry - 3.1 Congruence |
| | Geometry - 3.2 Conditions for Congruence |
| | Geometry - 3.3 Similarity |
| | Geometry - 4.2 Properties of Transformations |
| | Geometry - 4.3 Symmetry |
| | G. | Describe and use properties of triangles to solve problems involving angle measures and side lengths of right triangles. |
| | Geometry - 1.3 Triangles and Polygons |
| | By the end of the 8 - 10 program: |
| | B. | Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence. |
| | Geometry - 3.1 Congruence |
| | Geometry - 3.2 Conditions for Congruence |
| | Geometry - 3.3 Similarity |
| | Geometry - 3.4 Review: Congruence |
| | C. | Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines. |
| | Geometry - 1.2 Angles and Lines |
| | Geometry - 1.4 Review: Introduction to Geometry |
| | Geometry - 2.1 Areas of Polygons |
| | F. | Represent and model transformations in a coordinate plane and describe the results. |
| | Geometry - 4.1 Transformations |
| | Geometry - 4.4 Review: Transformations and Symmetry |
| |
Patterns, Functions and Algebra Standard |
| | By the end of the 5 - 7 program: |
| | A. | Describe, extend and determine the rule for patterns and relationships occurring in numeric patterns, computation, geometry, graphs and other applications. |
| | Algebra I - 1.1 What is a Variable? |
| | B. | Represent, analyze and generalize a variety of patterns and functions with tables, graphs, words and symbolic rules. |
| | Algebra I - 1.1 What is a Variable? |
| | C. | Use variables to create and solve equations and inequalities representing problem situations. |
| | Algebra I - 1.1 What is a Variable? |
| | Algebra I - 1.3 Equations in One Variable |
| | D. | Use symbolic algebra to represent and explain mathematical relationships. |
| | Algebra I - 1.1 What is a Variable? |
| | E. | Use rules and variables to describe patterns, functions and other relationships |
| | Algebra I - 1.1 What is a Variable? |
| | G. | Write, simplify and evaluate algebraic expressions. |
| | Algebra I - 1.2 Working with Expressions |
| | Algebra I - 1.3 Equations in One Variable |
| | Algebra I - 1.4 Solving for a Variable |
| | Algebra I - 1.5 Soving Inequalities |
| | By the end of the 8 - 10 program: |
| | A. | Generalize and explain patterns and sequences in order to find the next term and the nth term. |
| | Algebra I - 2.1 Linear and Nonlinear Relations |
| | Algebra I - 4.1 Quadratic Equations |
| | Algebra I - 4.2 Quadratic Equations in Standard Form |
| | Algebra I - 4.4 Quadratic Equations in Vertex Form |
| | Algebra I - 5.1 Exponential Growth |
| | Algebra I - 6.1 Functions and Function Notation |
| | B. | Identify and classify functions as linear or nonlinear, and contrast their properties using tables, graphs or equations. |
| | Algebra I - 2.1 Linear and Nonlinear Relations |
| | Algebra I - 2.4 Review: Linear Equations and Inequalities |
| | C. | Translate information from one representation (words, table, graph or equation) to another representation of a relation or function. |
| | Algebra I - 1.2 Working with Expressions |
| | Algebra I - 1.3 Equations in One Variable |
| | Algebra I - 1.6 Review: Algebraic Representations |
| | Algebra I - 2.1 Linear and Nonlinear Relations |
| | Algebra I - 2.2 Equations for Lines |
| | Algebra I - 2.3 Linear Equalities |
| | Algebra I - 2.4 Review: Linear Equations and Inequalities |
| | Algebra I - 3.1 Systems of Equations |
| | Algebra I - 3.2 Solving by Substitution |
| | Algebra I - 3.3 Solving by Elimination |
| | Algebra I - 3.4 Systems of Linear Inequalities |
| | Algebra I - 3.5 Review: Linear Systems |
| | Algebra I - 4.1 Quadratic Equations |
| | Algebra I - 4.2 Quadratic Equations in Standard Form |
| | Algebra I - 4.3 Factoring Quadratic Expressions |
| | Algebra I - 4.4 Quadratic Equations in Vertex Form |
| | Algebra I - 6.1 Functions and Function Notation |
| | Algebra I - 7.1 Polynomials and Rationals |
| | Algebra I - 7.3 The Bouncing Ball |
| | Algebra I - 7.4 Review: Polynomials and Rationals |
| | D. | Use algebraic representations, such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations. |
| | Algebra I - 1.1 What is a Variable? |
| | Algebra I - 1.2 Working with Expressions |
| | Algebra I - 1.3 Equations in One Variable |
| | Algebra I - 1.4 Solving for a Variable |
| | Algebra I - 1.5 Soving Inequalities |
| | Algebra I - 1.6 Review: Algebraic Representations |
| | Algebra I - 2.1 Linear and Nonlinear Relations |
| | Algebra I - 2.2 Equations for Lines |
| | Algebra I - 2.4 Review: Linear Equations and Inequalities |
| | Algebra I - 5.1 Exponential Growth |
| | Algebra I - 5.2 Exponential Decay |
| | E. | Analyze and compare functions and their graphs using attributes, such as rates of change, intercepts and zeros. |
| | Algebra I - 2.1 Linear and Nonlinear Relations |
| | Algebra I - 2.2 Equations for Lines |
| | Algebra I - 2.4 Review: Linear Equations and Inequalities |
| | Algebra I - 5.1 Exponential Growth |
| | Algebra I - 5.2 Exponential Decay |
| | Algebra I - 5.3 Properties of Exponents |
| | Algebra I - 5.4 Logarithms |
| | Algebra I - 5.5 Review: Exponents and Logarithms |
| | Algebra I - 6.1 Functions and Function Notation |
| | Algebra I - 6.2 Transformations of Functions |
| | Algebra I - 6.3 Inverse Functions |
| | Algebra I - 6.4 Review: Functions |
| | F. | Solve and graph linear equations and inequalities. |
| | Algebra I - 1.4 Solving for a Variable |
| | Algebra I - 1.5 Soving Inequalities |
| | Algebra I - 1.6 Review: Algebraic Representations |
| | Algebra I - 2.1 Linear and Nonlinear Relations |
| | Algebra I - 2.2 Equations for Lines |
| | Algebra I - 2.3 Linear Equalities |
| | Algebra I - 2.4 Review: Linear Equations and Inequalities |
| | G. | Solve quadratic equations with real roots by graphing, formula and factoring. |
| | Algebra I - 4.1 Quadratic Equations |
| | Algebra I - 4.2 Quadratic Equations in Standard Form |
| | Algebra I - 4.3 Factoring Quadratic Expressions |
| | Algebra I - 4.4 Quadratic Equations in Vertex Form |
| | Algebra I - 4.5 Solving Quadratics |
| | Algebra I - 4.6 Review: Quadratic Equations |
| | H. | Solve systems of linear equations involving two variables graphically and symbolically. |
| | Algebra I - 3.1 Systems of Equations |
| | Algebra I - 3.2 Solving by Substitution |
| | Algebra I - 3.3 Solving by Elimination |
| | Algebra I - 3.5 Review: Linear Systems |
| | I. | Model and solve problem situations involving direct and inverse variation. |
| | Algebra I - 5.1 Exponential Growth |
| | Algebra I - 5.2 Exponential Decay |
| | Algebra I - 5.3 Properties of Exponents |
| | Algebra I - 5.4 Logarithms |
| | J. | Describe and interpret rates of change from graphical and numerical data. |
| | Algebra I - 2.1 Linear and Nonlinear Relations |
| | Algebra I - 2.2 Equations for Lines |
| | Algebra I - 2.4 Review: Linear Equations and Inequalities |
| | Algebra I - 7.1 Polynomials and Rationals |
| | Algebra I - 7.2 Comparing Functions |
| | Algebra I - 7.3 The Bouncing Ball |
| | Algebra I - 7.4 Review: Polynomials and Rationals |
| | By the end of the 11 - 12 program: |
| | A. | Analyze functions by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior. |
| | Algebra I - 7.1 Polynomials and Rationals |
| | Algebra I - 7.2 Comparing Functions |
| | Algebra I - 7.3 The Bouncing Ball |
| | Algebra I - 7.4 Review: Polynomials and Rationals |
| |
Data Analysis and Probability Standard |
| | By the end of the 8 - 10 program: |
| | A. | Create, interpret and use graphical displays and statistical measures to describe data; e.g., box-and-whisker plots, histograms, scatterplots, measures of center and variability. |
| | Data Analysis - 1.1 Data Tables |
| | Data Analysis - 1.2 Simple Bar Graphs |
| | Data Analysis - 1.3 Building a Simple Bar Graph |
| | Data Analysis - 1.4 Grouped Bar Graphs |
| | Data Analysis - 1.5 Stacked Bar Graphs |
| | Data Analysis - 1.6 Transforming Data |
| | Data Analysis - 1.7 Displaying Parts of a Whole |
| | Data Analysis - 1.8 Review: Tables and Graphs |
| | Data Analysis - 2.1 Arranging and Ordering Data |
| | Data Analysis - 2.2 Frequencies |
| | Data Analysis - 2.3 Histograms |
| | Data Analysis - 2.4 Changing the Bin Size |
| | Data Analysis - 2.5 Stem-and-Leaf Plots |
| | Data Analysis - 2.6 Analyzing Data Distributions |
| | Data Analysis - 2.7 Comparing Data Distributions |
| | Data Analysis - 2.8 Review: Histograms |
| | Data Analysis - 4.1 Five-Number Summary |
| | Data Analysis - 4.2 Boxplots |
| | Data Analysis - 4.3 Comparing Boxplots |
| | Data Analysis - 4.6 Review: Measures of Variability |
| | Data Analysis - 5.1 Introduction to Bivariate Data |
| | Data Analysis - 5.2 Building a Scatterplot |
| | Data Analysis - 5.3 Interpreting a Scatterplot |
| | Data Analysis - 5.6 Outliers |
| | Data Analysis - 5.7 Prediction |
| | Data Analysis - 5.8 Categorical Variables |
| | Data Analysis - 5.9 Review: Bivariate Data |
| | B. | Evaluate different graphical representations of the same data to determine which is the most appropriate representation for an identified purpose. |
| | Data Analysis - 1.4 Grouped Bar Graphs |
| | Data Analysis - 1.5 Stacked Bar Graphs |
| | Data Analysis - 1.6 Transforming Data |
| | Data Analysis - 1.7 Displaying Parts of a Whole |
| | Data Analysis - 1.8 Review: Tables and Graphs |
| | Data Analysis - 2.1 Arranging and Ordering Data |
| | Data Analysis - 2.2 Frequencies |
| | Data Analysis - 2.3 Histograms |
| | Data Analysis - 2.4 Changing the Bin Size |
| | Data Analysis - 2.5 Stem-and-Leaf Plots |
| | Data Analysis - 2.6 Analyzing Data Distributions |
| | Data Analysis - 2.7 Comparing Data Distributions |
| | Data Analysis - 2.8 Review: Histograms |
| | C. | Compare the characteristics of the mean, median and mode for a given set of data, and explain which measure of center best represents the data. |
| | Data Analysis - 3.1 Exploring Center |
| | Data Analysis - 3.2 Exploring the Mean |
| | Data Analysis - 3.3 Computing the Mean |
| | Data Analysis - 3.4 Notation for the Mean |
| | Data Analysis - 3.5 Median |
| | Data Analysis - 3.6 Median of Large Data Sets |
| | Data Analysis - 3.7 Mode |
| | Data Analysis - 3.8 Center for Grouped Data |
| | Data Analysis - 3.9 Outliers |
| | Data Analysis - 3.10 Distributions |
| | Data Analysis - 3.11 Review: Measures of Center |
| | D. | Find, use and interpret measures of center and spread, such as mean and quartiles, and use those measures to compare and draw conclusions about sets of data. |
| | Data Analysis - 3.1 Exploring Center |
| | Data Analysis - 3.2 Exploring the Mean |
| | Data Analysis - 3.3 Computing the Mean |
| | Data Analysis - 3.4 Notation for the Mean |
| | Data Analysis - 3.5 Median |
| | Data Analysis - 3.6 Median of Large Data Sets |
| | Data Analysis - 3.7 Mode |
| | Data Analysis - 3.8 Center for Grouped Data |
| | Data Analysis - 3.9 Outliers |
| | Data Analysis - 3.10 Distributions |
| | Data Analysis - 3.11 Review: Measures of Center |
| | Data Analysis - 4.1 Five-Number Summary |
| | Data Analysis - 4.2 Boxplots |
| | Data Analysis - 4.6 Review: Measures of Variability |
| | By the end of the 11 - 12 program: |
| | B. | Use descriptive statistics to analyze and summarize data, including measures of center, dispersion, correlation and variability. |
| | Data Analysis - 4.4 Standard Deviation |
| | Data Analysis - 4.5 Interpreting Standard Deviation |
| | &nbs |