Tested State Standards

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

Comparing and Ordering Rational Numbers

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;

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

1.8.2: The student selects and uses appropriate operations to solve problems and justify solutions.

1.8.2.B: use appropriate operations to solve problems involving rational numbers in problem situations;

Dividing Fractions

Dividing Mixed Numbers

Estimating Population Size

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

1.8.2.D: use multiplication by a given constant factor (including unit rate) to represent and solve problems involving proportional relationships including conversions between measurement systems.

Proportions and Common Multipliers

Road Trip (Problem Solving)

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

2.8.3.A: compare and contrast proportional and non-proportional linear relationships; and

Linear Functions

Slope-Intercept Form of a Line - Activity B

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

Estimating Population Size

Estimating Sums and Differences

Real-Time Histogram

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).

Points, Lines, and Equations

Using Algebraic Equations

Using Algebraic Expressions

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

Reaction Time 1 (Graphs and Statistics)

Road Trip (Problem Solving)

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

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

Dilations

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);

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.8.8.B: connect models of prisms, cylinders, pyramids, spheres, and cones to formulas for volume of these objects; and

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

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

Prisms and Cylinders - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

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

Area of Parallelograms - Activity B

Minimize Perimeter

Perimeter, Circumference, and Area - Activity B

Rectangle: Perimeter and Area

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

Prisms and Cylinders - 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

Polling: City

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: use variability (range, including interquartile range (IQR)) and select the appropriate measure of central tendency 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

Distance-Time Graphs

Histograms

Line Plots

Mean, Median and Mode

Populations and Samples

Prairie Ecosystem

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

6.8.14: The student applies Grade 8 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school.

6.8.14.A: identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics;

6.8.16: The student uses logical reasoning to make conjectures and verify conclusions.

6.8.16.A: make conjectures from patterns or sets of examples and nonexamples; and

Correlation last revised: 8/7/2014

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