Grade Level Expectations

1.1.A: Read, write and compare numbers

1.1.A.1: compare and order rational and irrational numbers, including finding their approximate locations on a number line

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Rational Numbers

1.2.C: Apply properties of operations

1.2.C.1: apply properties of exponents (including order of operations) to simplify expressions

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

1.3.E: Use proportional reasoning

1.3.E.1: solve problems involving proportions

2.1.B: Create and analyze patterns

2.1.B.1: generalize patterns using explicitly or recursively defined functions

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

2.1.D: Identify and compare functions

2.1.D.1: understand and compare the properties of linear and exponential functions (include intercepts)

Exponential Functions - Activity A

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

2.1.E: Describe the effects of parameter changes

2.1.E.1: describe the effects of parameter changes on linear functions

Linear Functions

Point-Slope Form of a Line - Activity A

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.2.A: Represent mathematical situations

2.2.A.1: use symbolic algebra to represent and solve problems that involve linear relationships, including absolute value and recursive relationships

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

Linear Functions

Point-Slope Form of a Line - Activity A

Quadratic and Absolute Value Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.2.B: Describe and use mathematical manipulation

2.2.B.1: describe and use algebraic manipulations, including factoring and rules of integer exponents

Dividing Exponential Expressions

Exponents and Power Rules

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

Multiplying Exponential Expressions

2.2.C: Utilize equivalent forms

2.2.C.1: use and solve equivalent forms of equations and inequalities (linear)

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

2.2.D: Utilize systems

2.2.D.1: use and solve systems of linear equations with 2 variables

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

Systems of Linear Equations - Activity A

2.3.A: Use mathematical models

2.3.A.1: identify quantitative relationships and determine the type(s) of functions that might model the situation to solve the problem

Cosine Function

Cubic Function Activity

Exponential Functions - Activity A

Exponential Growth and Decay - Activity B

Fourth-Degree Polynomials - Activity A

General Form of a Rational Function

Logarithmic Functions - Activity A

Quadratic and Absolute Value Functions

Quadratics in Factored Form

Quadratics in Polynomial Form - Activity A

Radical Functions

Rational Functions

Sine Function

2.4.A: Analyze change

2.4.A.1: analyze linear functions by investigating rates of change and intercepts

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

3.1.A: Describe and use geometric relationships

3.1.A.1: solve problems involving angle relationships (supplementary, complementary angles) and Pythagorean Theorem

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Investigating Angle Theorems - Activity A

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

3.1.B: Apply geometric relationships

3.1.B.1: apply geometric properties and relationships, such as similarity, to solve multi-step problems in 2 dimensions

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

3.2.A: Use coordinate systems

3.2.A.1: solve problems related to 2- dimensional objects by finding the distance on a Cartesian plane

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

3.3.A: Use transformations on objects

3.3.A.1: represent translations, reflections, rotations, and dilations of objects in the coordinate plane

Dilations

Reflections

Rotations, Reflections and Translations

Translations

3.3.B: Use transformations on functions

3.3.B.1: translate and reflect linear functions

Linear Functions

Reflections of a Linear Function

Translating and Scaling Functions

4.1.A: Determine unit of measurement

4.1.A.1: identify and justify appropriate units of measure for velocity

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

4.2.C: Apply geometric measurements

4.2.C.1: determine the surface area, and volume of geometric figures, including cones, spheres, 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.D: Analyze precision

4.2.D.1: analyze effects of computation on precision

5.1.C: Represent and interpret data

5.1.C.1: select, create and use appropriate graphical representation of data

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.2.B: Compare data representations

5.2.B.1: given one variable quantitative data, display the distribution and describe its shape

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.2.C: Represent data algebraically

5.2.C.1: given a scatterplot, determine an equation for a line of best fit

Correlation

Lines of Best Fit Using Least Squares - Activity A

Scatter Plots - Activity A

Solving Using Trend Lines

5.3.A: Develop and evaluate inferences

5.3.A.1: make conjectures about possible relationships between 2 characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit

Correlation

Describing Data Using Statistics

Line Plots

5.4.A: Apply basic concepts of probability

5.4.A.1: construct sample spaces and distributions

Correlation last revised: 10/24/2008