CILT Standards

1.A.1: Sort numbers by their properties (e.g., prime, composite, square, square root).

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Square Roots

1.B.1: Use real number properties (e.g., commutative, associative, distributive) to perform various computational procedures.

1.B.2: Perform arithmetic operations and their inverses (e.g., addition/subtraction, multiplication/division, square roots of perfect squares, cube roots of perfect cubes) on real numbers.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

Square Roots

1.B.3: Find roots of real numbers using calculators.

Operations with Radical Expressions

1.C.1: Formulate algebraic expressions that include real numbers to describe and solve real-world problems.

Using Algebraic Equations

Using Algebraic Expressions

1.C.2: Use a variety of computational methods to estimate quantities involving real numbers.

Estimating Population Size

Estimating Sums and Differences

1.C.4: Use real number properties to perform various computational procedures and explain how they were used.

1.C.5: Perform and explain computations with rational numbers, pi, and first-degree algebraic expressions in one variable in a variety of situations.

Adding Real Numbers

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

1.C.6: Select and use appropriate forms of rational numbers to solve real-world problems including those involving proportional relationships.

Estimating Population Size

Improper Fractions and Mixed Numbers

1.C.9: Estimate answers and use formulas to solve application problems involving surface area and volume.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

2.A.1: Move between numerical, tabular, and graphical representations of linear relationships.

Introduction to Functions

Linear Functions

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Using Algebraic Equations

Using Tables, Rules and Graphs

2.A.2: Use variables to generalize patterns and information presented in tables, charts, and graphs:

2.A.2.a: graph linear functions noting that the vertical change per unit of horizontal change (the slope of the graph) is always the same

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

2.A.2.b: plot the values of quantities whose ratios are always the same, fit a line to the plot, and understand that the slope of the line equals the quantities

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope - Activity B

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

2.B.1: Demonstrate the difference between an equation and an expression.

2.B.2: Solve two-step linear equations and inequalities in one variable with rational solutions.

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

2.B.4: Demonstrate understanding of the relationships between ratios, proportions, and percents and solve for a missing term in a proportion.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part:Part and Part:Whole Ratios

Polling: Neighborhood

Proportions and Common Multipliers

2.B.5: Graph solution sets of linear equations in two variables on the coordinate plane.

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.6: Formulate and solve problems involving simple linear relationships, find percents of a given number, variable situations, and unknown quantities.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Equations By Graphing Each Side

Solving Two-Step Equations

Using Algebraic Equations

2.B.7: Use symbols, variables, expressions, inequalities, equations, and simple systems of equations to represent problem situations that involve variables or unknown quantities.

Using Algebraic Equations

Using Algebraic Expressions

2.C.1: Generate different representations to model a specific numerical relationship given one representation of data (e.g., a table, a graph, an equation, a verbal description).

Linear Functions

Slope-Intercept Form of a Line - Activity A

Using Tables, Rules and Graphs

2.D.1: Use graphs, tables, and algebraic representations to make predictions and solve problems that involve change.

Cubic Function Activity

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Exponential Functions - Activity A

Fourth-Degree Polynomials - Activity A

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

2.D.2: Estimate, find, and justify solutions to problems that involve change using tables, graphs, and algebraic expressions.

Estimating Population Size

Estimating Sums and Differences

2.D.4: Solve multi-step problems that involve changes in 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.D.5: Analyze problems that involve change by identifying relationships, distinguishing relevant from irrelevant information, identifying missing information, sequencing, and observing patterns.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Finding Patterns

2.D.6: Generalize a pattern of change using algebra and show the relationship among the equation, graph, and table of values.

Linear Functions

Using Tables, Rules and Graphs

3.A.1: Recognize, classify, and discuss properties of all geometric figures including point, line, and plane.

Classifying Quadrilaterals - Activity A

Classifying Triangles

Parallelogram Conditions

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Special Quadrilaterals

3.A.2: Identify arc, chord, and semicircle and explain their attributes.

3.A.3: Use the Pythagorean theorem and its converse to find the missing side of a right triangle and the lengths of the other line segments.

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

Sine and Cosine Ratios - Activity A

3.B.1: Represent, formulate, and solve distance and geometry problems using the language and symbols of algebra and the coordinate plane and space (e.g., ordered triplets).

Distance Formula - Activity A

Ellipse - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

3.C.1: Describe the symmetry of three-dimensional figures.

3.C.2: Describe and perform single and multiple transformations that include rotation, reflection, translation, and dilation (i.e., shrink or magnify) to two-dimensional figures.

Dilations

Reflections

Rotations, Reflections and Translations

Translations

3.D.1: Understand angle relationships formed by parallel lines cut by a transversal.

Investigating Angle Theorems - Activity A

3.D.2: Recognize and apply properties of corresponding parts of similar and congruent triangles and quadrilaterals.

Classifying Quadrilaterals - Activity A

Congruence in Right Triangles

Constructing Congruent Segments and Angles

Perimeters and Areas of Similar Figures

Proving Triangles Congruent

Similar Figures - Activity A

Similar Polygons

3.D.3: Represent and solve problems relating to size, shape, area, and volume using geometric models.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

3.D.4: Develop and use formulas for area, perimeter, circumference, and volume.

Circle: Circumference and Area

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Rectangle: Perimeter and Area

3.D.5: Construct two-dimensional patterns for three-dimensional models (e.g., cylinders, prisms, cones).

3D and Orthographic Views - Activity A

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.A.1: Understand the concept of volume and use the appropriate units in common measuring systems (e.g., cubic centimeter, cubic inch, cubic yard) to compute the volume of rectangular solids.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.B.1: Use ratios and proportions to measure hard-to-measure objects.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Proportions and Common Multipliers

4.B.3: Use proportional relationships in similar shapes to find missing measurements.

Perimeters and Areas of Similar Figures

4.B.4: Apply strategies to determine the surface area and volume of prisms, pyramids, 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.B.6: Estimate volume in cubic units.

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.B.7: Solve simple problems involving rates and derived measurements for such properties as velocity and density.

Density Laboratory

Determining Density via Water Displacement

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

5.A.1: Represent two numerical variables on a plot, describe how the data points are distributed, and identify relationships that exist between the two variables.

5.A.3: Organize, analyze, and display appropriate quantitative and qualitative data to address specific questions including:

5.A.3.a: frequency distributions

Describing Data Using Statistics

Histograms

Line Plots

Mean, Median and Mode

Populations and Samples

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.A.3.b: plots

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.A.3.c: histograms

Describing Data Using Statistics

Histograms

5.A.3.d: bar, line, and pie graphs

Describing Data Using Statistics

5.A.3.e: diagram and pictorial displays

Describing Data Using Statistics

5.A.3.f: charts and tables

Describing Data Using Statistics

Histograms

5.A.4: Select the appropriate measure of central tendency to describe a set of data for a particular problem situation.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.A.5: Simulate an event selecting and using different models.

5.B.3: Analyze data to make decisions and to develop convincing arguments from data displayed in a variety of formats that include:

5.B.3.d: scatter plots

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

5.B.4: Interpret and analyze data from graphical representations and draw simple conclusions (e.g., line of best fit).

Correlation

Solving Using Trend Lines

5.B.6: Use appropriate central tendency and spread as a means for effective decision-making in analyzing data and outliers.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.B.7: Identify simple graphic misrepresentations and distortions of sets of data (e.g., unequal interval sizes, omission of parts of axis range, scaling).

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.B.8: Use appropriate technology to display data as lists, tables, matrices, graphs, and plots and to analyze the relationships of variables in the data displayed.

Box-and-Whisker Plots

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.C.1: Describe how changes in scale, intervals, or categories influence arguments for a particular interpretation of the data.

5.C.2: Describe how reader bias, measurement errors, and display distortion can affect the interpretation of data, predictions, and inferences based on data.

Box-and-Whisker Plots

Histograms

Polling: Neighborhood

Scatter Plots - Activity A

5.C.3: Conduct simple experiments and/or simulations, record results in charts, tables, or graphs, and use the results to draw conclusions and make predictions.

Histograms

Probability Simulations

5.C.4: Compare expected results with experimental results and information used in predictions and inferences.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

5.D.2: Design and use an appropriate simulation to estimate the probability of a real-world event (e.g., disk toss, cube toss).

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Probability Simulations

5.D.3: Explain the relationship between probability and odds and calculate the odds of a desired outcome in a simple experiment.

Geometric Probability - Activity A

5.D.4: Use theoretical or experimental probability to make predictions about real-world events.

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: Understand that the probability of two unrelated events occurring is the sum of the two individual possibilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Correlation last revised: 11/13/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.