1: The student will demonstrate an understanding of numbers, operations, and quantitative reasoning.

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

Square Roots

2: The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning.

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: The student will demonstrate an understanding of geometry and spatial reasoning.

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;

Classifying Triangles

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: The student will demonstrate an understanding of the concepts and uses of measurement.

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: The student will demonstrate an understanding of probability and statistics.

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