Assessment of Knowledge and Skills (TAKS)

1.8.1: The student understands that different forms of numbers are appropriate for different situations.

1.8.1.A: compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals;

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

1.8.1.B: select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships;

Estimating Population Size

Improper Fractions and Mixed Numbers

1.8.1.C: approximate (mentally [and with calculators]) the value of irrational numbers as they arise from problem situations (such as π, √2); and

2.8.3: The student identifies proportional or non-proportional linear relationships in problem situations and solves problems.

2.8.3.B: estimate and find solutions to application problems involving percents and other proportional relationships such as similarity and rates.

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

2.8.4: The student makes connections among various representations of a numerical relationship.

2.8.4.A: generate a different representation of data given another representation of data (such as a table, graph, equation, or verbal description).

Introduction to Functions

Linear Functions

Using Tables, Rules and Graphs

2.8.5: The student uses graphs, tables, and algebraic representations to make predictions and solve problems.

2.8.5.A: predict, find, and justify solutions to application problems using appropriate tables, graphs, and algebraic equations; and

Distance-Time Graphs

Graphing Skills

2.8.5.B: find and evaluate an algebraic expression to determine any term in an arithmetic sequence (with a constant rate of change).

Arithmetic Sequences

Arithmetic and Geometric Sequences

Using Algebraic Equations

Using Algebraic Expressions

3.8.6: The student uses transformational geometry to develop spatial sense.

3.8.6.A: generate similar figures using dilations including enlargements and reductions; and

Perimeters and Areas of Similar Figures

Similar Figures - Activity A

Similar Polygons

3.8.6.B: graph dilations, reflections, and translations on a coordinate plane.

Circles

Dilations

Quilting Bee (Symmetry)

Reflections

Rock Art (Transformations)

Rotations, Reflections and Translations

Translations

3.8.7: The student uses geometry to model and describe the physical world.

3.8.7.B: use geometric concepts and properties to solve problems in fields such as art and architecture;

3.8.7.C: use pictures or models to demonstrate the Pythagorean Theorem; and

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

3.8.7.D: locate and name points on a coordinate plane using ordered pairs of rational numbers.

City Tour (Coordinates)

Points in the Coordinate Plane - Activity A

4.8.8: The student uses procedures to determine measures of three-dimensional figures.

4.8.8.A: find lateral and total surface area of prisms, pyramids, and cylinders using [concrete] models and nets (two-dimensional models); and

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.8.8.C: estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume.

Prisms and Cylinders - Activity A

4.8.9: The student uses indirect measurement to solve problems.

4.8.9.A: use the Pythagorean Theorem to solve real-life problems; and

Distance Formula - Activity A

Geoboard: The Pythagorean Theorem

Pythagorean Theorem - Activity A

Pythagorean Theorem - Activity B

4.8.9.B: use proportional relationships in similar two-dimensional figures or similar three-dimensional figures to find missing measurements.

Perimeters and Areas of Similar Figures

4.8.10: The student describes how changes in dimensions affect linear, area, and volume measures.

4.8.10.A: describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally; and

Area of Parallelograms - Activity A

Circle: Circumference and Area

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Prisms and Cylinders - Activity A

Rectangle: Perimeter and Area

4.8.10.B: describe the resulting effect on volume when dimensions of a solid are changed proportionally.

Circle: Circumference and Area

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

5.8.11: The student applies concepts of theoretical and experimental probability to make predictions.

5.8.11.A: find the probabilities of dependent and independent events; and

Compound Independent Events

Compound Independent and Dependent Events

Spin the Big Wheel! (Probability)

5.8.11.B: use theoretical probabilities and experimental results to make predictions and decisions.

Geometric Probability - Activity A

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

5.8.12: The student uses statistical procedures to describe data

5.8.12.A: select the appropriate measure of central tendency or range 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

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

5.8.12.B: draw conclusions and make predictions by analyzing trends in scatterplots; and

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

5.8.12.C: select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, [stem and leaf plots,] circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, [with and] without the use of technology.

Box-and-Whisker Plots

Describing Data Using Statistics

Graphing Skills

Histograms

Line Plots

Mean, Median and Mode

Reaction Time 1 (Graphs and Statistics)

Stem-and-Leaf Plots

Correlation last revised: 3/6/2012

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