Statistics, Data Analysis, and...

Riverdeep CAHSEE Standards CorrelationPomona

Benchmarks Ca. State Standards

# of CAHSEE Question

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Mastering Skills & Concepts: Course III

Mastering Skills & Concepts:

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Mastering Algebra I: Course

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Mastering Algebra I: Course 2

6th grade Statistics, Data Analysis, & Probability (8 Items Total)1.1 SAM06401 Compute & analyze statistical measurement for data sets: Compute the range, mean, median, & mode of data sets. (1.1)

1.1 Compute the range, mean, median, & mode of data sets.

3 Module: Data Analysis & ProbabilityUnit: Modeling & Displaying EventsSession 1: Displaying & Analyzing Data

Module: Fundamentals of StatisticsUnit: The Mean, Median, & ModeSession 1: Defining the Mean & MedianSession 2: Defining the ModeSession 3: Calculating the Mean, Median, & Mode

2.5 2.5 Identify claims based on statistical data, and in simple cases, evaluate the validity of the claim.

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3.1 SAM06410 Determine theoretical & experimental probabilities & use these to make predictions about events: Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) & express the theoretical probability of each outcome.

3.1 Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) & express the theoretical probability of each outcome.

1 Module: Data Analysis & ProbabilityUnit: Modeling & Displaying EventsSession 2: Looking at Chance

Module: Fundamentals of ProbabilityUnit: Simple ProbabilitySession 1: Defining & Expressing ProbabilitySession 2: Calculating Probabilities on a Color WheelSession 3: Determining Probability of Complementary Events

Unit: Probability of Combined EventsSession 1: Calculating the Probability of Independent Events

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(3.1) Session 2: Determining the Sample Space of an ExperimentSession 3: Calculating the Probability of Mutually Exclusive Events

3.3b SAM06412b Know that if p is the probability of an event, 1– p is the probability of an event not occurring. (3.3b)

3.3 Represent probabilities as ratios, proportions, decimals between 0 & 1, & percentages between 0 & 100 & verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1-P is the probability of an event not occurring.


Module: Fundamentals of ProbabilityUnit: Simple ProbabilitySession 1: Defining & Expressing Probability(Workout Questions 3 & 5 only, using SHOW ME feature)

3.5 SAM06413b Determine theoretical & experimental probabilities & use these to make predictions about events: Understand the difference between independent & dependent events. (3.5)

3.5 Understand the difference between independent & dependent events.


Module: Fundamentals of ProbabilityUnit: Probability of Combined EventsSession 1: Calculating the Probability of Independent Events Session 3: Calculating the Probability of Mutually Exclusive Events

7th Grade Number Sense (14 Items Total)CHM0710101 1.1 Read, write, & 1 Module: Radicals

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(B2)Know the properties of, & compute with, rational numbers expressed in a variety of forms: Read, write, & compare rational numbers in scientific notation (positive & negative powers of 10) with approximate numbers using scientific notation (1.1)

compare rational numbers in scientific notation (positive & negative powers of 10) with approximate numbers using scientific notation.

& ExponentsUnit: Introduction to Scientific NotationSession 1: Writing Numbers Using Scientific NotationSession 2: Comparing Numbers in Scientific NotationSession 3: Writing Numbers Between 0 & 1 in Scientific Notation

1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.

3 Module: Operations with NumbersUnit: Addition and Subtraction of Whole NumbersSession:Whole Number SumsSession: Differences Between Large Numbers

Unit: The IntegersSession: Integer SumsSession: Differences Between Integers

Unit: Multiplication and Division of Whole NumbersSession: Two-digit MultipliersSession: Introduction to

Module: FractionsUnit: Multiplying FractionsSession: Finding Products of Fractions, Whole Numbers, and Mixed NumbersSession: Using the GCF in Finding ProductsSession: Representing Multiplication

Unit: Dividing FractionsSession: Estimating Quotients of

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Long DivisionSession: Two-digit Divisors

Module: FractionsUnit: Addition and SubtractionSession: Sums Involving Like DenominatorsSession: Differences Involving Like DenominatorsSession: Working with Unlike Denominators

Unit: Multiplication and DivisionSession: Finding ProductsSession: Quotients and Remainders

Module: DecimalsUnit: Addition and SubtractionSession: Adding DecimalsSession: Subtracting Decimals

Unit: Multiplication and DivisionSession: Multiplying DecimalsSession: Dividing Decimals by Whole Numbers

FractionsSession: /Using Multiplicative InverseSession: Solving Missing Value Problems when Dividing Fractions

Unit: Adding FractionsSession: Adding with Like DenominatorsSession: Adding with Unlike DenominatorsSession: Solving Missing Value Problems when Adding Fractions

Unit: Subtracting FractionsSession: Subtracting with Like DenominatorsSession: Subtracting with Unlike DenominatorsSession: Solving Missing Value Problems when Subtracting Fractions

Module: DecimalsUnit: Adding and Subtracting DecimalsSession: Using Place Value Grids

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Session: Regrouping with Whole NumbersSession: Regrouping to Hundredths

Unit: Multiplying DecimalsSession: Multiplying Decimals by Powers of 10Session: Calculating Products

Unit: Dividing DecimalsSession: Dividing Decimals by Whole NumbersSession: Estimating and Finding QuotientsSession: Dividing by Powers of 10

Module: Integers and Order of OperationsUnit: Order of OperationsSession: Simplifying Expressions

CHMO710103 (B1)Know the properties of, & compute with, rational numbers expressed in a

1.3 Convert fractions to decimals & percents & use these representations in estimations, computations, & applications.

2 Module: DecimalsUnit: IntroductionSession 1: Tenths, Hundredths, & ThousandthsSession 3: Ratios, Decimals, & Percents

Unit: Multiplication &

Module: Decimals Unit: Essentials of Decimals Session 1: Investigating Decimal Place Values

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variety of forms: Convert fractions to decimals & percents & use these representations in estimations, computations, & applications (1.3)

DivisionSession 1: Multiplying DecimalsSession 2: Dividing Decimals by Whole Numbers

Module: Data Analysis & Probability Unit: Modeling & Displaying Events Session 1: Displaying & Analyzing DataSession 2: Looking at Chance

Unit: Multiplying Decimals Session 3: Finding the Volume of a Prism

Module: PercentsUnit: Essentials of PercentsSession 1: Investigating the Meaning of PercentSession 2: Expressing Percents as Proper Fractions Session 3: Expressing Percents Greater than 100% as Improper Fractions

Unit: Finding Percents of QuantitiesSession 1: Finding Percents of a WholeSession 2: Expressing Ratios as PercentsSession 3: Calculating the Whole from a Part & a Percent

Unit: Increasing & Decreasing Percents Session 1: Calculating Percent IncreasesSession 2:

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Calculating Percent DecreasesSession 3: Calculating Simple Interest

CHMO710106 (B1)Know the properties of, & compute with, rational numbers expressed in a variety of forms: Calculate the percentage of increases & decreases of a quantity (1.6)

1.6 Calculate the percentage of increases & decreases of a quantity.

1 Module: PercentsUnit: Increasing & Decreasing PercentsSession 1: Calculating Percent IncreasesSession 2: Calculating Percent Decreases

1.7 2 Module: Percents Unit: Finding Percents of Quantities Session: Finding Percents of a WholeSession: Calculating the Whole from a Part and a Percent

Unit: Increasing and Decreasing Percents Session: Calculating Percent IncreasesSession: Calculating Percent DecreasesSession:

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Calculating Simple Interest

2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base

1 Module: Radicals and ExponentsUnit: Introduction to Scientific NotationSession: Writing Numbers Between 0 and 1 in Scientific Notation

Module: Powers and PolynomialsUnit: Polynomial ArithmeticSession: Working with Powers

2.2 Add and subtract fractions by using factoring to find common denominators.

1 Module: FractionsUnit: Addition and SubtractionSession: Working with Unlike Denominators

Module: FractionsUnit: Adding FractionsSession: Adding with Unlike DenominatorsSession: Solving Missing Value Problems when Adding Fractions

Unit: Subtracting Fractions Session: Subtracting with Unlike DenominatorsSession: Solving Missing Value Problems when Subtracting Fractions

2.3 Multiply, divide, and simplify rational numbers by using exponent rules.

1 Module: Radical and ExponentsUnit: Introduction to Radicals and Pythagorean TheoremSession: Exploring the Pythagorean Theorem

Module: Powers and PolynomialsUnit: Polynomial ArithmeticSession: Working with Powers

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2.4 Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why.

1 Module: Radical and ExponentsUnit: Introduction to Radicals and Pythagorean TheoremSession: Investigating Squares and Square RootsSession: Defining Irrational Numbers

Module: The Real Number SystemUnit: Rational and Irrational NumbersSession: Defining the Real Numbers

2.5 Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers.

1 Module: Integers and Order of OperationsUnit: Adding and Subtracting Signed NumbersSession: Exploring the Number Line and Absolute ValueSession: Adding with Absolute ValueSession: Subtracting with Absolute Value

7th grade Algebra & Functions (17 Items Total)SAMO7201a (B1)Express quantitative relationships using algebraic terminology, expressions, equations, inequalities, & their graphs: Use variables & appropriate

1.1 Use variables & appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g., three less than a number, half as large as area A).

2 Module: Essentials of AlgebraUnit: Algebra FundamentalsSession 1: Introducing VariablesSession 2: Identifying Components of Algebraic Expressions

Module: The Language of AlgebraUnit: Variables, Expressions, & EquationsSession 1: Translating Words into Expressions

Module: Systems of Linear

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operations to write an expression, that represents a verbal description (e.g., three less than a number, half as large as area A) (AUGMENTATION 1.1) (CA HSEE) (1.1a)

Session 3: Replacing Variables in a Formula

Unit: Simple EquationsSession 1: Using Variables to Express Relationships

Unit: Variables on Both Sides of the EquationSession 1: Writing Equations

EquationsUnit: Graphic Solutions of Linear SystemsSession: Finding the Point of Intersection

Unit: Algebraic Solutions of Linear SystemsSession: Using Substitution to Eliminate a VariableSession: Using Addition or Subtraction to Eliminate a Variable

Module: Linear InequalitiesUnit: Inequalities in One VariableSession: Applying Inverse OperationsSession: Solving Absolute Value Inequalities

Unit: Inequalities in Two VariablesSession: Solving Systems by Graphing

SAMO7202 (B1)Express quantitative relationships

1.2 Use the correct order of operations to evaluate algebraic expressions such as

.

1 Module: Integers & Order of OperationsUnit: Order of Operations

Module: Essentials of AlgebraUnit: Evaluating an Algebraic

Module: The Language of AlgebraUnit: Variables, Expressions, and

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using algebraic terminology, expressions, equations, inequalities, & their graphs: Use the correct order of operations to evaluate algebraic expressions such as 3(2x + 5)2 (AUGMENTATION 1.2) (CA HSEE) (1.2)

Session 1: Simplifying ExpressionsSession 2: Introducing the Distributive PropertySession 3: Using Grouping Symbols

ExpressionSession 1: Representing the Dimensions & Area of a RectangleSession 2: Combining Like TermsSession 3: Evaluating Expressions Using Substitution

Unit: Simple EquationsSession 2: Simplifying Algebraic ExpressionsSession 3: Solving Simple Equations

EquationsSession: Evaluating and Simplifying Expressions

SAMO7205 (B4)Express quantitative relationships using algebraic terminology, expressions, equations, inequalities, & their graphs: Represent quantitative relationships graphically & interpret the meaning of a specific part of a graph in the situation represented by the graph (AUGMENTATI

1.5 Represent quantitative relationships graphically & interpret the meaning of a specific part of a graph in the situation represented by the graph.

3 Module: Fractions Unit: Addition & Subtraction Session 3: Working with Unlike Denominators

Module: Decimals Unit: IntroductionSession 2: Ordering & Rounding

Module: Data Analysis & Probability Unit: Modeling & Displaying Events Session 1: Displaying & Analyzing Data

Module: Fundamentals of Statistics Unit: Interpreting & Constructing Graphs Session 1: Exploring Line GraphsSession 2: Exploring Bar GraphsSession 3: Interpreting Pie ChartsUnit: Frequency Distribution & Histograms Session 2: Defining a HistogramSession 3: Exploring Cumulative Frequency Graphs

Module: Linear Functions and Equations Unit: The Rectangular Coordinate Plane Session 2: Defining SlopeSession 3: Finding x- and y- Intercepts

Unit: Introduction to Functions Session: Exploring the Slope-Intercept Equation of a LineSession: Exploring the Point-Slope Equation of a LineSession: Relations and

Module: The Real Number System Unit: Rational & Irrational Numbers Session 3: The Square Root Function

Module: Quadratic Functions & Equations Unit: Graphing Quadratic Functions & Equations Session: Graphing ParabolasSession: Analyzing Properties of ParabolasSession: Solving Quadratic Equations by Graphing

Module: Algebraic Expressions & Functions

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ON 1.5) (CA HSEE)

Functions

Module: Systems of Linear Equations Unit: Graphic Solutions of Linear Systems Session 1: Finding the Point of IntersectionSession 2: Graphing Parallel & Perpendicular LinesSession: Using Substitution to Eliminate a Variable

Unit: Algebraic Solutions of Linear Systems Session: Using Addition or Subtraction to Eliminate a Variable

Module: Linear Inequalities Unit: Inequalities in One Variable Session 1: Applying Inverse OperationsSession 2: Graphing Solutions on a Number LineSession 3: Solving Absolute Value Inequalities

Unit: Inequalities in Two Variables

Unit: Radical Equations & FunctionsSession: Solving Radical EquationsSession: The Inverse of the Square Root Function

Unit: Rational Expressions, Equations & Functions Session 2: Rational FunctionsSession 3: Rational Equations

Module: Describing Data Unit: Graphical Displays Session: Stem-&-Leaf Plots & Box PlotsSession: Scatter Plots & Linear Best-Fit Graphs

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Session 1: Graphing Solutions on a Rectangular Coordinate PlaneSession 2: Solving Systems by Graphing

SAMO7206 (B2)Interpret & evaluate expressions involving integer powers & simple roots: Interpret positive whole-number powers as repeated multiplication & negative whole-number powers as repeated division or multiplication by the multiplicative inverse; simplify & evaluate expressions that include exponents (AUGMENTATION 2.1) (CA HSEE)

2.1 Interpret positive whole-number powers as repeated multiplication & negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify & evaluate expressions that include exponents.

1 Module: Radicals & ExponentsUnit: Introduction to Radicals & Pythagorean TheoremSession 1: Exploring the Pythagorean TheoremSession 2: Investigating Squares & Square RootsSession 3: Defining Irrational Numbers

Unit: Introduction to Scientific NotationSession 1: Writing Numbers Using Scientific NotationSession 3: Writing Numbers Between 0 & 1 in Scientific Notation

Module: Powers & PolynomialsUnit: Polynomial ArithmeticSession 1: Working with Powers

SAMO7207a 2.2 Multiply & divide 1 Module: Powers &

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(B2)Interpret & evaluate expressions involving integer powers & simple roots: Multiply & divide monomials. (AUGMENTATION 2.2) (CA HSEE)

monomials, extend the process of taking powers & extracting roots to monomials when the latter results in a monomial with an integer exponent.

PolynomialsUnit: Polynomial ArithmeticSession 1: Working with Powers(advanced)

Unit: Factoring PolynomialsSession: Finding Common Factors

3.1 Graph functions of the form y = nx2 and y=nx3 and use in solving problems

1 Module: Quadratic Functions and EquationsUnit: Graphing Quadratic Functions and EquationsSession: Graphing ParabolasSession: Analyzing Properties of ParabolasSession: Solving Quadratic Equations by Graphing

SAM07210 (B4)Graph & interpret linear & some nonlinear functions: Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always

3.3 Graph linear functions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same & know that the ratio (“rise over run”) is called the slope of a graph.

2 Module: Linear Functions & Equations Unit: The Rectangular Coordinate Plane Session: Defining Slope

Unit: Introduction to FunctionsSession: Exploring the Slope-Intercept Equation of a LineSession: Exploring the

Module: Quadratic Functions & EquationsUnit: Graphing Quadratic Functions & EquationsSession 1: Graphing ParabolasSession 2: Analyzing Properties of ParabolasSession 3: Solving Quadratic Equations by Graphing

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the same & know that the ratio (rise over run) is called the slope of a graph (AUGMENTATION 3.3) (CA HSEE)

Point-Slope Equation of a LineSession: Relations and Functions

SAMO7211 (B4)Graph & interpret linear & some nonlinear functions: Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle); fit a line to the plot & understand that the slope of the line equals the quantities (AUGMENTATION 3.4) (CA HSEE)

3.4 Plot the values of quantities whose ratios are always the same (e.g., cost to the number of an item, feet to inches, circumference to diameter of a circle). Fit a line to the plot & understand that the slope of the line equals the quantities.

1 Module: Linear Functions & EquationsUnit: The Rectangular Coordinate PlaneSession 2: Defining Slope

Module: Quadratic Functions & EquationsUnit: Graphing Quadratic Functions & EquationsSession 1: Graphing ParabolasSession 2: Analyzing Properties of ParabolasSession 3: Solving Quadratic Equations by Graphing

SAMO7212 (B2)Solve simple linear equations & inequalities over rational numbers: Solve two-step linear

4.1 Solve two-step linear equations & inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which

3 Module: Essentials of AlgebraUnit: Simple EquationsSession: Solving Simple Equations

Module: The Language of AlgebraUnit: Linear Equations in One VariableSession 2: Transforming

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equations & inequalities in one variable over the rational numbers, interpret the solution(s) in the context from which they arose, & verify the reasonableness of the results (AUGMENTATION 4.1) (CA HSEE) (4.1)

they arose, & verify the reasonableness of the results.

Unit: Variables on Both Sides of the EquationSession: Simplifying Both Sides of an EquationSession: Checking the Solution to an Equation

Equations using Multiple Operations

Module: Linear InequalitiesUnit: Inequalities in One VariableSession 1: Applying Inverse OperationsSession 2: Graphing Solutions on a Number LineSession 3: Solving Absolute Value Inequalities

SAMO7213 (B2)Solve simple linear equations & inequalities over the rational numbers: Solve multistep problems involving rate, average speed, distance, & time or direct variation (AUGMENTATION 4.2) (CA HSEE) (4.2)

4.2 Solve multi-step problems involving rate, average speed, distance, & time or a direct variation.

2 Module: Essentials of AlgebraUnit: Variables on Both Sides of the EquationSession 2: Simplifying Both Sides of an Equation (minimal)

Module: Ratio & ProportionUnit: Direct & Inverse VariationSession 1: Exploring & Solving Direct Variation Problems(minimal)

Module: Linear Functions & EquationsUnit: The Rectangular Coordinate PlaneSession 2: Defining SlopeSession 3: Finding x- & y-Intercepts

Unit: Introduction to FunctionsSession 1: Exploring the Slope-Intercept Equation of a LineSession 2: Exploring the Point-Slope Equation of a LineSession 3: Relations & Functions

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Module: Systems of Linear EquationsUnit: Graphic Solutions of Linear SystemsSession 1: Finding the Point of IntersectionSession 2: Graphing Parallel & Perpendicular Linesminimal)

7th grade Measurement & Geometry (17 Items Total)CHM0730101 (B1)Choose appropriate units of measure & use ratios to convert within & between measurement systems to solve problems: Compare weights, capacities, geometric measures, times, & temperatures within & between measurement systems (e.g., miles per hour & feet per second, cubic inches to cubic centimeters) (1.1)

1.1 Compare weights, capacities, geometric measures, times, & temperatures within & between measurement systems (e.g., miles per hour & feet per second, cubic inches to cubic centimeters).

2 Module: The Language of Algebra Unit: Linear Equations in One Variable Session 2: Transforming Equations using Multiple Operations

Module: Linear Functions & Equations Unit: The Rectangular Coordinate Plane Session 3: Finding x- & y- Intercepts

Unit: Introduction to Functions Session 1: Exploring the Slope-Intercept Equation of a LineSession 2: Exploring the

Module: Quadratic Functions & Equations Unit: Graphing Quadratic Functions & Equations Session 1: Graphing ParabolasSession 2: Analyzing Properties of ParabolasSession 3: Solving Quadratic Equations by Graphing

Module: Algebraic Expressions & Functions Unit: Rational Expressions, Equations & Functions Session 3: Rational Equations

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Point-Slope Equation of a LineSession 3: Relations & Functions

Module: Systems of Linear Equations Unit: Graphic Solutions of Linear Systems Session 1: Finding the Point of Intersection

CHM0730102 (B1)Choose appropriate units of measure & use ratios to convert within & between measurement systems to solve problems: Construct & read drawings & models made to scale (1.2)

1.2 Construct & read drawings & models made to scale.

1 Module: Decimals Unit: Multiplying Decimals Session 2: Calculating Products

CHM0730103 (B1)Choose appropriate units of measure & use ratios to convert within & between measurement systems to solve problems: Use measures

1.3 Use measures expressed as rates (e.g., speed, density) & measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; & use dimensional analysis to check the reasonableness of

2 Module: Ratio & Proportion Unit: Ratio Session: Defining RatioSession: Expressing Ratios as Equivalent Fractions & DecimalsSession: Forming Ratios between Unlike Quantities

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expressed as rates (e.g., speed, density) & measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; & use dimensional analysis to check the reasonableness of the answer (1.3)

the answer.

CHMO730201a (B3)Compute the perimeter, area, & volume of common geometric objects & use the results to find measures of less common objects; know how perimeter, area, & volume are affected by changes of scale: Use formulas routinely for finding the perimeter & area of basic two- dimensional figures, including rectangles,

2.1 Use formulas routinely for finding the perimeter & area of basic two-dimensional figures & the surface area & volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, & cylinders.

3 Module: GeometryUnit: MeasurementSession 2: Rectangles & SquaresSession 3: TrianglesSession 4: Parallelograms & Trapezoids

Unit: Coordinate Geometry & AlgebraSession 1: The Coordinate Plane

(no work with circles)

Module: Fundamentals of GeometryUnit: TrianglesSession 2: Exploring the Area of a TriangleUnit: Volume & Surface AreaSession 1: Calculating the Volume of a Right Triangular PrismSession 2: Calculating the surface Area of a Right Triangular PrismSession 3: Calculating the Volume & Surface Area of a Right Cylinder

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parallelograms, trapezoids, squares, triangles, & circles. (2.1a)

CHMO730201b (B3)Compute the perimeter, area, & volume of common geometric objects & use the results to find measures of less common objects; know how perimeter, area, & volume are affected by changes of scale: Use formulas routinely for finding the surface area & volume of basic three- dimensional figures, including prisms, & cylinders (2.1b)

CHMO730202 (B3)Compute the perimeter, area, & volume of common geometric objects & use

2.2 Estimate & compute the area of more complex or irregular two- & three-dimensional figures by breaking the figures down into more basic

2 Module: GeometryUnit: MeasurementSession 4: Parallelograms & Trapezoids

Module: Fundamentals of GeometryUnit: TrianglesSession 1: Classifying Triangles by Sides

Unit: Volume &

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the results to find measures of less common objects; know how perimeter, area, & volume are affected by changes of scale: Estimate & compute the area of more complex or irregular two- & three- dimensional figures by breaking the figures down into more basic geometric objects (2.2)

geometric objects. Surface AreaSession 1: Calculating the Volume of a Right Triangular PrismSession 2: Calculating the surface Area of a Right Triangular PrismSession 3: Calculating the Volume & Surface Area of a Right Cylinder

CHMO730203 (B3)Compute the perimeter, area, & volume of common geometric objects & use the results to find measures of less common objects; know how perimeter, area, & volume are affected by changes of scale: Compute the length of the perimeter, the surface area of the faces, & the

2.3 Compute the length of the perimeter, the surface area of the faces, & the volume of a three-dimensional object built from rectangular solids. Understand that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor & the volume is multiplied by the cube of the scale factor.

1 Module: Geometry Unit: Measurement Session 3: Triangles

Module: Fundamentals of Geometry Unit: Triangles Session 1: Classifying Triangles by Sides

Unit: Volume & Surface AreaSession 1: Calculating the Volume of a Right Triangular PrismSession 2: Calculating the Surface Area of a Right Triangular PrismSession 3: Calculating the Volume & Surface

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volume of a three-dimensional object built from rectangular solids; understand that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor & volume is multiplied by the cube of the scale factor (2.3)

Area of a Right Cylinder

CHMO730204 (B3)Compute the perimeter, area, & volume of common geometric objects & use the results to find measures of less common objects; know how perimeter, area, & volume are affected by changes of scale: Relate the changes in measurement with a change of scale to the units used (e.g., square inches, cubic

2.4 Relate the changes in measurement with a change of scale to the units used (e.g., square inches, cubic feet) & to conversions between units (1 square foot = 144 square inches or

, 1 cubic inch is approximately 16.38 cubic centimeters or

).

1 Module: Fractions Unit: Multiplying Fractions Session 2: Using the GCF in Finding Products

Module: DecimalsUnit: Dividing Decimals Session 2: Estimating & Finding QuotientsSession 3: Dividing by Powers of 10

Module: Radicals & Exponents Unit: Introduction to Scientific Notation Session 2: Comparing Numbers in Scientific Notation

Module: Ratio & Proportion Unit: Proportion Session 3: Applying the Means/Extremes Property

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feet) & to conversions between units (1 square foot = 144 square inches or [1 ft1 = [144 in1, I cubic inch is approximately 16.38 cubic centimeters or [1 in3] = 16.38 cm3] (2.4)CHMO730302a (B3)Know the Pythagorean theorem & deepen the understanding of plane & solid geometric shapes by constructing figures that meet given conditions & by identifying attributes of figures: Understand & use coordinate graphs to plot, determine lengths & areas of simple figures. (3.2a

CHMO730302b (B3)

3.2 Understand & use coordinate graphs to plot simple figures, determine lengths & areas related to them, & determine their image under translations & reflections.

2 Module: GeometryUnit: Coordinate Geometry & AlgebraSession 1: The Coordinate PlaneSession 2: Symmetry & Transformations

Module: Radicals & Exponents Unit: Introduction to Radicals & Pythagorean Theorem Session 1: Exploring the Pythagorean Theorem

Module: Linear Functions & Equations Unit: The Rectangular Coordinate Plane Session 1: Graphing Ordered Pairs

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Know the Pythagorean theorem & deepen the understanding of plane & solid geometric shapes by constructing figures that meet given conditions & by identifying attributes of figures: Understand & use coordinate graphs to determine their image under translations & reflections (3.2b)CHMO730303 (B3)Know the Pythagorean theorem & deepen the understanding of plane & solid geometric shapes by constructing figures that meet given conditions & by identifying attributes of figures: Know & understand the Pythagorean theorem & its converse & use

3.3 Know & understand the Pythagorean theorem & its converse & use it to find the length of the missing side of a right triangle & the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement.

2 Module: Radicals & ExponentsUnit: Introduction to Radicals & Pythagorean TheoremSession 1: Exploring the Pythagorean TheoremSession: Investigating Squares & Square RootsSession: Defining Irrational Numbers

Module: Ratio & Proportion Unit: Similar Polygons Session 3: Setting

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it to find the length of the missing side of a right triangle & the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement (3.3)

up & Solving Proportions in Similar Polygons

CHMO730304 (B3)Know the Pythagorean theorem & deepen the understanding of plane & solid geometric shapes by constructing figures that meet given conditions & by identifying attributes of figures: Demonstrate an understanding of conditions that indicate two geometrical figures are congruent & what congruence means about

3.4 Demonstrate an understanding of conditions that indicate two geometrical figures are congruent & what congruence means about the relationships between the sides & angles of the two figures.

1 Module: Radicals & Exponents Unit: Introduction to Radicals & Pythagorean Theorem Session 1: Exploring the Pythagorean Theorem

Module: Fundamentals of GeometryUnit: Geometry FundamentalsSession 3: Recognizing Congruent Angles

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the relationships between the sides & angles of the two figures (3.4)7th grade Mathematical Reasoning (8 Items Total Plus Integrated into Other Strands)

1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns.

2 This standard is integrated into all lessons in this course.

This standard is integrated into all lessons in this course.



1.2 Formulate and justify mathematical conjectures based on a general description of the mathematical question or problem posed.

1 This standard is integrated into all lessons in this course.




CHMO750201 (B2)Use strategies, skills, & concepts in finding solutions: Use estimation to verify the reasonableness of calculated results (2.1)

2.1 Use estimation to verify the reasonableness of calculated results.

2 Module: Fractions Unit: Dividing Fractions Session 1: Estimating Quotients of Fractions

Module: Fractions Unit: Adding Fractions Session 1: Adding with like Denominators

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Module: Decimals Unit: Adding & Subtracting Decimals Session 1: Using Place Value Grids

Unit: Dividing Decimals Session 2: Estimating & Finding Quotients

Module: Percents Unit: Increasing & Decreasing Percents Session 2: Calculating Percent Decreases

2.3 Estimate unknown quantities graphically and solve for them by using logical reasoning and arithmetic and algebraic techniques.

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CHM0750204 (B4)Use strategies, skills, & concepts in finding solutions: Make & test conjectures by using both inductive & deductive

2.4 Make & test conjectures by using both inductive & deductive reasoning.

1 Module: Fractions Unit: Multiplying Fractions Session 3: Representing Multiplication

Unit: Dividing Fractions Session 3: Solving Missing Value

Module: Essentials of Algebra Unit: Simple Equations Session 3: Solving Simple Equations

Unit: Variable on Both Sides of the EquationSession 3:

Module: The Language of Algebra Unit: Variables, Expressions, and Equations Session: Evaluating and Simplifying Expressions

Unit: Linear

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reasoning (2.4) Problems when Dividing Fractions

Unit: Adding Fractions Session 3: Solving Missing Value Problems when Adding Fractions

Unit: Subtracting Fractions Session 3: Solving Missing Value Problems when Subtracting Fractions

Module: Decimals Unit: Multiplying Decimals Session 3: Finding the Volume of a Prism

Unit: Dividing Decimals Session 1: Dividing Decimals by Whole Numbers

Module: Percents Unit: Essentials of Percents Session 3: Expressing Percents greater than 100% as Improper Fractions

Checking the Solution to an Equation

Unit: Solving Literal Equations Session 3: Substituting Values & Solving an Equation

Module: Fundamentals of Geometry Unit: Geometry Fundamentals Session 3: Recognizing Congruent Angles

Module: Radicals & Exponents Unit: Introduction to Radicals & Pythagorean TheoremSession 3: Defining Irrational Numbers

Unit: Introduction to Scientific Notation Session 2: Comparing Numbers in Scientific NotationSession 3: Writing Numbers between 0 & 1 in Scientific Notation

Module: Ratio & Proportion Unit: Proportion Session 3: Applying the

Equations in One Variable Session: Applying Inverse OperationsSession: Transforming Equations using Multiple OperationsSession: Solving Absolute Value Equations

Module: Linear Functions and Equations Unit: The Rectangular Coordinate Plane Session: Finding x- and y- Intercepts

Module: Systems of Linear Equations Unit: Graphic Solutions of Linear Systems Session: Graphing Parallel & Perpendicular LinesUnit: Algebraic Solutions of Linear Systems Session: Using Substitution to Eliminate a VariableSession: Using Addition or Subtraction to Eliminate a

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Unit: Finding Percents of Quantities Session 3: Calculating the Whole from a Part & a Percent

Unit: Increasing & Decreasing Percents Session 2: Calculating Percent DecreasesSession 3: Calculating Simple Interest

Module: Integers and Order of Operations Unit: Order of Operations Session: Simplifying Expressions

Means/Extremes Property

Unit: Direct & Inverse Variation Session 3: Solving Inverse Variation Problems

Unit: Similar Polygons Session 2: Identifying Equivalent Ratios

Module: Fundamentals of Statistics Unit: Interpreting & Constructing Graphs Session 3: Interpreting Pie Charts

Unit: The Mean, Median, & Mode Session 1: Defining the Mean & MedianSession: Defining the Mode

Unit: Frequency Distribution & Histograms Session 2: Defining a Histogram

Variable

Module: Linear Inequalities Unit: Inequalities in Two Variables Session: Graphing Solutions on a Rectangular Coordinate PlaneSession: Solving Systems by Graphing

CHM0750303 (B1)Determine a solution is complete & move beyond a particular

3.3 Develop generalizations of the results obtained & the strategies used & apply them to new problem situations.

1 This standard is integrated into every lesson in this course.

This standard is integrated into every lesson in this course.




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problem by generalizing to other situations: Develop generalizations of the results obtained & the strategies used & apply them to new problem situations (3.3)7th grade Statistics, Data Analysis, & Probability (4 Items Total)CHMO740101 (B4)Collect, organize, & represent data sets that have one or more variables & identify relationships among variables within a data set by hand & through the use of an electronic spreadsheet software program: Know various forms of display for data sets, including a stem-and-Ieafplot or box-and-whisker plot; use the forms to display

1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data.

2 Module: Data Analysis & Probability Unit: Modeling & Displaying Events Session 1: Displaying & Analyzing DataSession 2: Looking at Chance

Module: Fundamentals of StatisticsUnit: Interpreting & Constructing GraphsSession 1: Exploring Line GraphsSession 2: Exploring Bar GraphsSession 3: Interpreting Pie Charts

Unit: Frequency Distribution & Histograms Session 1: Creating & Interpreting a Frequency TableSession 2: Defining a HistogramSession 3: Exploring Cumulative

Module: Describing DataUnit: Graphical DisplaysSession 1: Stem-and-Leaf Plots & Box PlotsSession 2: Scatter Plots & Linear Best-Fit Graphs

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a single set of data or to compare two sets of data (1.1)

Frequency Graphs

CHMO740102 (B4)Collect, organize, & represent data sets that have one or more variables & identify relationships among variables within a data set by hand & through the use of an electronic spreadsheet software program: Represent two numerical variables on a scatterplot & informally describe how the data points are distributed & any apparent relationship that exists between the two variables (e.g., between time spent on homework & grade level) (1.2)

1.2 Represent two numerical variables on a scatter plot & informally describe how the data points are distributed & any apparent relationship that exists between the two variables (e.g., between time spent on homework & grade level).

2 Module: Fundamentals of StatisticsUnit: Frequency Distribution & HistogramsSession 1: Creating & Interpreting a Frequency Table

Module: Linear Functions & EquationsUnit: The Rectangular Coordinate PlaneSession 1: Graphing Ordered Pairs

Module: Describing Data Unit: Graphical Displays Session 1: Stem-&-Leaf Plots & Box PlotsSession 2: Scatter Plots & Linear Best-Fit Graphs(advanced)

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Algebra I (12 Items Total)SAM08102a (B1)Understand & use such operations as taking the opposite & finding the reciprocal of a number. (2.0a)

2.0 Students understand & use such operations as taking the opposite, finding the reciprocal, taking a root, & raising to a fractional power. They understand & use the rules of exponents.

1 Module: FractionsUnit: Multiplication and DivisionSession: Quotients and Remainders

Module: FractionsUnit: Dividing FractionsSession 2: UsingMultiplicative InversesSession 3: Solving Missing Value Problems when Dividing FractionsSession: Estimating Quotients of Fractions

Module: Integers &Order of OperationsUnit: Adding andSubtracting SignedNumbersSession 3: Subtractingwith Absolute Value

Unit: Multiplying andDividing SignedNumbersSession 2: Representing the Multiplication of Signed NumbersSession 3: FindingQuotients UsingReciprocals

Module: Essentials ofAlgebraUnit: Simple EquationsSession 3: SolvingSimple Equations

Module: Radicals & Exponents Unit: Introduction to Radicals & Pythagorean Theorem Session: Exploring the Pythagorean TheoremSession: Investigating Squares & Square Roots

Module: TheLanguage of AlgebraUnit: Linear Equationsin One VariableSession 1: ApplyingInverse Operations

Module: The Real Number System Unit: Rational & Irrational Numbers Session: Defining the Real NumbersSession: Working with RadicalsSession: The Square Root Function

Module: Powers & Polynomials Unit: Polynomial Arithmetic Session: Working with Powers

SAM08103 (B1)

3.0 Students solve equations &

1 Module: Integers & Order of

Module 1: TheLanguage of

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Solve equations & inequalities involving absolute values.(3.0)

inequalities involving absolute values.

Operations Unit: Adding & Subtracting Signed Numbers Session 1: Exploring the Number Line & Absolute ValueSession 2: Adding with Absolute ValueSession 3: Subtracting with Absolute Value

AlgebraUnit: Linear Equationsin One VariableSession 3: SolvingAbsolute ValueEquationsSession: Inequalities in One Variable

Module 4: LinearInequalitiesUnit: Inequalities in One VariableSession 3: SolvingAbsolute ValueInequalities

SAM08104 (B1)Simplify expressions before solving linear equations & inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12 (4.0)

4.0 Students simplifyexpressions before solving linear equations & inequalities in one variable, such as3(2x - 5) 4(x - 2) 12

2 Module: Essentials ofAlgebra:Unit: Evaluating anAlgebraic ExpressionSession 2: CombiningLike Terms

Unit: Simple EquationsSession 2: SimplifyingAlgebraic ExpressionsSession 3: SolvingSimple Equations

Module: TheLanguage of AlgebraUnit: Variables,Expressions, andEquationsSession 2: ApplyingProperties of RealNumbersSession 3: Evaluatingand SimplifyingExpressions

Unit: Linear Equationsin One VariableSession 2:Transforming EquationsUsing MultipleOperations

Module: Linear Inequalities Unit: Inequalities

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in One Variable Session: Applying Inverse Operations

SAM08105a (B1)Solve multistep problems, including word problems, involving linear equations in one variable & provide justification for each step. (5.0a)

SAM08105b (B1)Solve multistep problems, including word problems, involving linear inequalities in one variable & provide justification for each step. (5.0b)

5.0 Students solve multi-step problems, including word problems, involving linear equations & linear inequalities in one variable & provide justification for eachstep. Students solve multi-step problems, including wordproblems, involving linear equations & linear inequalities in one variable andprovide justification for each step.

1 Module: TheLanguage of AlgebraUnit: Linear Equationsin One VariableSession 1:Applying Inverse OperationsSession 2:Transforming EquationsUsing MultipleOperations

Module: LinearInequalitiesUnit: Inequalities in One VariableSession 1: ApplyingInverse OperationsSession 2: GraphingSolutions on a NumberLineSession 3: Solving Absolute Value Inequalities

Module: Essentials of AlgebraUnit: Simple EquationsSession: Solving Simple Equations

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Unit: Variables on Both Sides of the EquationSession: Simplifying Both Sides of an Equation

SAM08106a (B2)Graph a linear equation & compute the x & y intercepts (e.g. 2x + 6y = 4) (6.0a

SAM08106b (B2)Sketch the region defined by linear inequality (e.g. sketch the region defined by 2x + 6y <4). (6.0b)

6.0 Students graph a linear equation & compute the x andy-intercepts (e.g., graph2x 6y =4 ). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x 6y =4 ). Students graph a linear equation & compute the x andy-intercepts (e.g., graph2x 6y=4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x 6y=4 ).

2

1 graphing item; 1

computing item

Module: LinearFunctions &EquationsUnit: The RectangularCoordinate PlaneSession 2: DefiningSlopeSession 3: Finding x & y-Intercepts

Unit: Introduction toFunctionsSession 1: Exploring the Slope-InterceptEquation of a LineSession 2: Exploring the Point-Slope Equation of a LineSession 3: Relationsand Functions

Module: LinearInequalitiesUnit: Inequalities in Two VariablesSession 1: GraphingSolutions on aRectangular Coordinate PlaneSession 2: Solving

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systems by Graphing

SAM08107a (B2)Verify that a point lies on a line, given an equation of the line. (7.0a)

SAM08107bDerive linear equations by using the point-slope formula. (7.0b)

7.0 Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point slope formula.

1 Module: LinearFunctions &EquationsUnit: Introduction toFunctionsSession 1: Exploring the Slope-InterceptEquation of a LineSession 2: Exploring the Point-Slope Equation ofa LineSession 3: Relationsand Functions

Module: Systems of Linear Equations Unit: Graphic Solutions of Linear Systems Session 1: Finding the Point of Intersection

SAM08108 (B2)Understand the concepts of parallel & perpendicular lines & how those slopes are related; find the equation of a line perpendicular to a given line that passes

8.0 Students understand the concepts of parallel lines & perpendicular lines & how those slopes are related.Students are able to find the equation of a line perpendicular to a given line that passes through a given point.

1 Module: Systems ofLinear EquationsUnit: Graphic Solutionsof Linear SystemsSession 2: GraphingParallel & PerpendicularLines

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through a given point. (8.0)SAM08109 (B2)Solve a system of two linear equations in two variables algebraically & interpret the answer graphically; solve a system of two linear inequalities in two variables & sketch the solutions sets. (9.0)

9.0 Students solve a system of two linear equations in two variables.

1 Module: Systems ofLinear EquationsUnit: Graphic Solutionsof Linear SystemsSession 1: Finding the Point of Intersection

Unit: AlgebraicSolutions of LinearSystemsSession 1: UsingSubstitution to Eliminate a VariableSession 2: UsingAddition or Subtraction to Eliminate a Variable

Module: LinearInequalitiesUnit: Inequalities in Two VariablesSession 1: GraphingSolutions on aRectangular Coordinate PlaneSession 2: SolvingSystems by Graphing

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10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multi-step problems, including word problems, by using these techniques.

1 Module: Powers and PolynomialsUnit: Polynomial ArithmeticSession: Working with PowersSession: Adding and Subtracting Polynomial ExpressionsSession: Multiplying Polynomials

SAM08115a (B2)Apply algebraic techniques to solve rate problems (15.0a)

SAM08115c (B2)Apply algebraic techniques to solve percent mixture problems. (15.0c)

15.0 Students apply algebraic techniques to solve rate problems, work problems, & percent mixture problems.

1 Module: Ratio & Proportion Unit: Direct & Inverse Variation Session 1: Exploring & Solving Direct Variation Problems

Module: The Language of Algebra Unit: Linear Equations in One Variable Session 2: Transforming Equations using Multiple Operations

Module: AlgebraicExpressions &FunctionsUnit: RationalExpressions, Equations, & FunctionsSession 3: RationalEquations(no percent mixture

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