CILT Standards

1.A.1: Compare and order rational numbers.

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

1.A.2: Use equivalent representations for rational numbers (e.g., integers, decimals, fractions, percents, ratios, numbers with whole-number exponents).

Improper Fractions and Mixed Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents, Fractions and Decimals

Polling: Neighborhood

1.A.5: Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Real Number Line - Activity A

1.B.3: Demonstrate the relationship and equivalency among ratios and percents.

Estimating Population Size

Part:Part and Part:Whole Ratios

Percents and Proportions

Polling: Neighborhood

1.B.4: Use proportions to solve problems.

1.B.5: Explain and perform:

1.B.5.b: addition, subtraction, multiplication, and division with decimals

Multiplying with Decimals

Sums and Differences with Decimals

1.B.5.c: addition and subtraction with integers

Adding Real Numbers

Adding and Subtracting Integers

Adding and Subtracting Integers with Chips

Order of Operations

1.B.5.d: addition, subtraction, and multiplication with fractions and mixed numerals

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

1.B.6: Determine the least common multiple and the greatest common divisor of whole numbers and use them to solve problems with fractions.

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

1.C.3: Determine if a problem situation calls for an exact or approximate answer and perform the appropriate computation.

1.C.4: Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.

Comparing and Ordering Fractions

1.C.5: Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.

Percents, Fractions and Decimals

1.C.6: Interpret and use ratios in different contexts.

Estimating Population Size

Part:Part and Part:Whole Ratios

Polling: Neighborhood

1.C.7: Compute and perform multiplication and division of fractions and decimals and apply these procedures to solving problems.

Dividing Fractions

Multiplying Fractions

Multiplying with Decimals

2.A.1: Solve problems involving proportional relationships.

2.A.2: Graph ordered pairs in the coordinate plane.

Points in the Coordinate Plane - Activity A

2.A.3: Explain and use symbols to represent unknown quantities and variable relationships.

2.A.4: Explain and use the relationships among ratios, proportions, and percents.

Estimating Population Size

Part:Part and Part:Whole Ratios

Polling: Neighborhood

Proportions and Common Multipliers

2.B.2: Use letters to represent an unknown in an equation.

2.B.3: Solve one-step linear equations and inequalities in one variable with positive whole-number solutions.

Modeling One-Step Equations - Activity A

Modeling and Solving Two-Step Equations

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

Solving Two-Step Equations

2.B.4: Demonstrate that a variable can represent a single quantity that changes.

2.B.5: Demonstrate how changes in one variable affect other variables.

2.C.2: Create, explain, and use mathematical models such as:

2.C.2.b: equations and inequalities to model numerical relationships

2.D.1: Represent and explain changes using one-step equations with one variable.

Modeling One-Step Equations - Activity A

Using Algebraic Equations

2.D.2: Solve problems that involve change using proportional relationships.

Estimating Population Size

Polling: Neighborhood

2.D.4: Use tables and symbols to represent and describe proportional and other relationships involving conversions, sequences, and perimeter.

Using Tables, Rules and Graphs

3.A.1: Identify, describe, and classify the properties of, and the relationships between, plane and solid geometric figures:

3.A.1.a: measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (e.g., straightedge, ruler, compass, protractor, drawing software)

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

3.A.1.b: understand that the sum of angles of any triangle is 180 degrees and the sum of the angles of any quadrilateral is 360 degrees and use this information to solve problems

Classifying Quadrilaterals - Activity A

Triangle Angle Sum - Activity A

3.A.1.c: visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids

3D and Orthographic Views - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

3.A.2: Classify angles as right, obtuse, or straight.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

3.A.3: Describe the properties of geometric figures that include regular polygons, circles, ellipses, cylinders, cones, spheres, and cubes.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Surface and Lateral Area of Pyramids and Cones

3.A.4: Classify polygons as regular or irregular.

Classifying Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

3.A.5: Classify triangles as scalene, isosceles, or equilateral and by angles (i.e., right, acute, and obtuse).

Classifying Triangles

Isosceles and Equilateral Triangles

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

Triangle Angle Sum - Activity A

3.A.7: Describe the relationship between radius, diameter, and circumference of a circle.

Circle: Circumference and Area

3.B.1: Use coordinate geometry to describe location on a plane.

Points in the Coordinate Plane - Activity A

3.B.2: Recognize skewed lines in space.

Investigating Parallel Lines and Planes

3.C.1: Identify line of symmetry with rotation and scaling.

Holiday Snowflake Designer

Rotations, Reflections and Translations

3.D.1: Use appropriate technology, manipulatives, constructions, or drawings to recognize or compare geometric figures.

Classifying Quadrilaterals - Activity A

Construct Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles

4.A.3: Select and use units of appropriate size and type to measure angles (e.g., degrees, radians), perimeter, area, and capacity in both U.S. customary and metric systems.

Perimeter, Circumference, and Area - Activity B

4.B.1: Apply various measurement techniques and tools, units of measure, and degrees of accuracy to find accurate rational number representations for length, liquid, weight, perimeter, temperature, and time.

Perimeter, Circumference, and Area - Activity B

4.B.2: Select and use formulas for perimeters of squares and rectangles.

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

4.B.4: Select and justify the selection of measurement tools, units of measure, and degrees of accuracy appropriate to the given situation.

5.A.2: Draw and compare different graphical representations of the same data.

Box-and-Whisker Plots

Histograms

Line Plots

Populations and Samples

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.A.3: Use mean, median, mode, and range to describe data.

Box-and-Whisker Plots

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.A.5: Solve problems by collecting, organizing, displaying and interpreting data.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.A.7: Conduct and explain sampling techniques such as observations, surveys, and random sampling for gathering data.

5.A.8: Determine the median for a rational number data set containing an odd number of data points.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.A.9: Calculate and explain the median for a whole number data set containing an even number of data points.

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.A.10: Explain advantages and disadvantages of using various display formats for a specific data set.

Box-and-Whisker Plots

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.A.11: Formulate and solve problems by collecting, organizing, displaying, and interpreting data.

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.B.1: Choose an appropriate graphical format to organize and represent data.

Box-and-Whisker Plots

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

5.B.3: Compute and analyze statistical measurements for data sets:

5.B.3.a: understand how additional data added to data sets may affect the computations of central tendency

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.B.3.b: understand how the inclusion or exclusion of outliers affects measures of central tendency

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.B.3.c: know why a specific measure of central tendency provides the most useful information in a given context

Describing Data Using Statistics

Line Plots

Mean, Median and Mode

5.B.5: Identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population.

5.B.7: Identify data that represent sampling errors and explain why the sample and the display might be biased.

5.C.2: Conduct observations, surveys, experiments and/or simulations, record the results in charts, tables, or graphs, and use the results to draw conclusions and make predictions.

Histograms

Probability Simulations

5.C.3: Find all possible combinations in a given set (e.g., the number of ways a set of books can be arranged on a shelf).

5.C.4: Compare expected results with actual results in a simple experiment.

5.D.1: List all possible outcomes for a compound event composed of two independent events and recognize whether an outcome is certain, impossible, likely, or unlikely.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

5.D.2: Determine and compare experimental (empirical) and mathematical (theoretical) probabilities (e.g., flipping two color counters).

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

5.D.3: Determine theoretical and experimental probabilities and use them to make predictions about 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.4: Represent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome.

Compound Independent Events

Compound Independent and Dependent Events

Independent and Dependent Events

Permutations and Combinations

Probability Simulations

Theoretical and Experimental Probability

5.D.5: Use data to estimate the probability of future events (e.g., batting averages).

5.D.6: Represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1- P is the probability of the event not occurring.

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

5.D.7: Describe the difference between independent and dependent events and identify situations involving independent or dependent events.

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.