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
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;

Estimating Population Size

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

Square Roots

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: 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.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: 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

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;

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);

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: 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
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: These skills will not be listed under a separate recording category. Instead, they will be incorporated into at least 75% of the test questions in reporting categories 1?5 and will be identified along with content standards.

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;

Estimating Population Size

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

Pattern Finder