CILT Standards

1.A.1: Determine the absolute value of rational numbers.

Comparing and Ordering Integers

Real Number Line - Activity A

1.A.2: Illustrate the relationships among natural (i.e., counting) numbers, whole numbers, integers, rational and irrational numbers.

Comparing and Ordering Integers

1.A.5: Simplify numerical expressions using order of operations.

1.B.1: Add, subtract, multiply, and divide rational numbers (e.g., integers, fractions, terminating decimals) and take positive rational numbers to whole-number powers.

Adding and Subtracting Integers

Dividing Fractions

Dividing Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

1.B.2: Convert terminating decimals into reduced fractions.

Percents, Fractions and Decimals

1.B.3: Calculate given percentages of quantities and use them to solve problems (e.g., discounts of sales, interest earned, tips, markups, commission, profit, simple interest).

Percent of Change

Percents and Proportions

Simple and Compound Interest

1.B.4: Add and subtract fractions with unlike denominators.

Fractions with Unlike Denominators

1.B.5: Multiply, divide, and simplify rational numbers by using exponent rules.

Dividing Fractions

Dividing Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

1.B.6: Understand the meaning of the absolute value of a number:

1.B.6.a: interpret the absolute value as the distance of the number from zero on a number line

Comparing and Ordering Integers

Real Number Line - Activity A

1.B.6.b: determine the absolute value of real numbers

Comparing and Ordering Integers

Real Number Line - Activity A

1.B.9: Solve addition, subtraction, multiplication, and division problems that use positive and negative integers and combinations of these operations.

Adding Real Numbers

Adding and Subtracting Integers

Adding and Subtracting Integers with Chips

Order of Operations

1.C.2: Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.

Percents, Fractions and Decimals

1.C.4: Calculate the percentage of increases and decreases of a quantity.

1.C.5: Add and subtract fractions with unlike denominators.

Fractions with Unlike Denominators

2.A.1: Identify and continue patterns presented in a variety of formats.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

2.A.2: Represent a variety of relationships using tables, graphs, verbal rules, and possible symbolic notation, and recognize the same general pattern presented in different representations.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

Linear Functions

Using Tables, Rules and Graphs

2.A.3: Simplify numerical expressions by applying properties of rational numbers, and justify the process used.

2.A.4: Interpret and evaluate expressions involving integer powers and simple roots.

Simplifying Radicals - Activity A

2.A.5: Graph and interpret linear functions.

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.A.6: Solve problems involving rate, average speed, distance, and time.

Distance Formula - Activity A

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

2.B.1: Write verbal expressions and sentences as algebraic expressions and equations:

2.B.1.a: evaluate algebraic expressions

Using Algebraic Equations

Using Algebraic Expressions

2.B.1.b: solve simple linear equations

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

2.B.1.c: graph and interpret results

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

2.B.2: Use variables and appropriate operations to write an expression, an equation, or an inequality that represents a verbal description.

Using Algebraic Equations

Using Algebraic Expressions

2.B.4: Simplify numerical expressions by applying properties of rational numbers.

2.B.5: Graph linear functions and identify slope as positive or negative.

Linear Functions

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.B.6: Use letters as variables in mathematical expressions to describe how one quantity changes when a related quantity changes.

Using Algebraic Equations

Using Algebraic Expressions

2.C.1: Create scale models and use them for dimensional drawings.

2.C.2: Understand and use the coordinate plane to graph ordered pairs and linear equations.

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Points in the Coordinate Plane - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

2.D.1: Use variables and appropriate operations to write an expression, an equation, and/or an inequality that represents a verbal description involving change.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Using Algebraic Equations

Using Algebraic Expressions

2.D.2: Interpret and evaluate expressions involving integer powers and simple roots as they relate to change.

Simplifying Radicals - Activity A

2.D.3: Graph and interpret linear functions as they are used to solve problems.

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.D.4: Solve two-step equations and inequalities with one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results.

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

3.A.1: Classify geometric figures as similar or congruent.

Classifying Quadrilaterals - Activity A

Constructing Congruent Segments and Angles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Similar Figures - Activity A

Special Quadrilaterals

3.A.2: Understand the concept of a constant (e.g., pi) and use the formulas for the circumference and area of a circle.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

3.A.3: Explain and use the Pythagorean theorem.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

3.A.4: Determine the radius, diameter, and circumference of a circle and explain their relationship.

Circle: Circumference and Area

3.A.5: Use properties to classify solids including pyramids, cones, prisms, and cylinders.

Classifying Quadrilaterals - Activity A

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Special Quadrilaterals

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

3.B.1: Construct and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine the image under translations and reflections.

Area of Parallelograms - Activity A

Perimeter, Circumference, and Area - Activity B

Points in the Coordinate Plane - Activity A

Rectangle: Perimeter and Area

Reflections

Rotations, Reflections and Translations

3.D.1: Compute the perimeter and area of common geometric shapes and use the results to find measures of less common objects.

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

3.D.2: Identify and describe the properties of two-dimensional figures:

3.D.2.a: identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms

Investigating Angle Theorems - Activity A

3.D.2.b: use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle

Investigating Angle Theorems - Activity A

Triangle Angle Sum - Activity A

4.A.1: Choose appropriate units of measure and ratios to recognize new equivalences (e.g., 1 square yard equals 9 square feet) to solve problems.

Estimating Population Size

Proportions and Common Multipliers

4.B.2: Select and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles.

Area of Parallelograms - Activity A

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

4.B.3: Solve problems involving scale factors, ratios, and proportions.

Dilations

Estimating Population Size

Proportions and Common Multipliers

Similar Figures - Activity A

5.A.1: Describe how data representations influences interpretation.

Correlation

Solving Using Trend Lines

5.A.2: Select and use appropriate representation for presenting collected data and justify the selection.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.A.3: Use measures of central tendency and spread to describe a set of data.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.A.4: Choose between median and mode to describe a set of data and justify the choice for a particular situation.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.A.5: Determine the quartiles of a data set.

5.A.6: Identify ordered pairs of data from a graph and interpret the data in terms of the situation depicted by the graph.

Points in the Coordinate Plane - Activity A

5.A.7: Use various scales and formats to display the same data set.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.A.9: Collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.A.10: Compute the minimum, lower quartile, median, upper quartile, and maximum of a data set.

Box-and-Whisker Plots

Line Plots

Mean, Median and Mode

5.A.12: Use and explain sampling techniques (e.g., observations, surveys, and random sampling) for gathering data.

5.A.13: Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, and selecting, collecting, and displaying appropriate data to address the problem.

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.B.1: Choose and justify appropriate measures of central tendencies (e.g., mean, median, mode, range) to describe given or derived data.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.B.2: Know various ways to display data sets (e.g., stem and leaf plot, box and whisker plot, scatter plots) and use these forms to display a single set of data or to compare two sets of data.

Box-and-Whisker Plots

Line Plots

Populations and Samples

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.B.4: Use appropriate technology to gather and display data sets and identify the relationships that exist among variables within the data set.

5.B.6: Identify data that represent sampling errors and explain why the sample and the display might be biased.

5.C.3: Approximate a line of best fit for a data set in a scatter plot form and make predictions using the simple equation of that line.

Correlation

Solving Using Trend Lines

5.D.1: Determine the probability of a compound event composed of two independent events.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

5.D.2: Identify examples of events having the probability of one or zero.

Geometric Probability - Activity A

5.D.3: Describe the probability of events using fractions, decimals, and percents.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

5.D.4: Express probability as a fraction, zero, or one.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

5.D.5: Use probability to generate convincing arguments, draw conclusions, and make decisions in a variety of situations.

Geometric Probability - Activity A

5.D.6: Make predictions based on theoretical probabilities of compound events.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

5.D.7: Determine the probability of a simple event or a compound event composed of a simple, independent events.

Compound Independent Events

Compound Independent and Dependent Events

Estimating Population Size

Independent and Dependent Events

Correlation last revised: 11/13/2008

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