Alpine Cyclist Problem Solving
 Description: Design a mountain race course that meets length and slope specifications using Pythagorean Theorem, slope, and scale.
 Ancient Pyramid Problem Solving
 Description: Build a pyramid that meets volume and surface area specifications.

 Area Concept Development
 Description: Learn that area is the size of the region enclosed within a plane figure. Understand how to calculate area and derive area formulas for common shapes.

 Bisection Concept Development
 Description: Understand and learn how to construct points, segments, and rays of bisection.

 Box Plot Concept Development
 Description: Investigate how box plots display the range and distribution of data along a number line and learn how to construct these graphs.

 Circumference Concept Development
 Description: Investigate and learn how to calculate circumference.

 Congruent Line Segments & Angles Concept Development
 Description: Examine how congruent angles have the same measure and learn how to construct congruent angles.

 Congruent Polygons Concept Development
 Description: Investigate congruency properties for line segments, angles, and polygons.

 Decimals: Comparing and Ordering Concept Development
 Description: Learn to compare decimal numbers by lining up the decimal point and then comparing digits to find a place where the digits are different. Visually compare positive and negative decimals on the number line.

 Diagonals of a Polygon Concept Development
 Description: Explore how diagonals of a polygon join two nonconsecutive vertices and how to calculate the number of diagonals in a polygon.

 Exponents Concept Development
 Description: Understand that an exponent is a number that indicates how many times a number or expression is used as a factor. Work with positive and negative exponents.

 Flight Planning Problem Solving
 Description: Plan an optimal flight route that minimizes time and delay using algebraic equations, measurement, and fractions.

 Fractions: Intro Concept Development
 Description: Understand that a fraction is a number that compares a part with a whole. Visualize and create different fraction representations. Investigate improper fractions and mixed numbers.

 Fractions: Common Denominator Concept Development
 Description: Learn than a common denominator is a common multiple of the denominators of two or more fractions. Discover different ways to find and identify common denominators.

 Fractions: Equivalent Fractions Concept Development
 Description: Discover that equivalent fractions represent the same part of a whole and are found by multiplying the numerator and denominator by the same whole number. Understand when a fraction is in lowest terms.

 Fractions: Comparing and Ordering Concept Development
 Description: Use fraction bars, fraction charts, and number lines to visually compare positive and negative fractions and mixed numbers. Learn how to rewrite fractions using a common denominator and then compare the numerators.

 Fractions: Adding and Subtracting Concept Development
 Description: Discover that fractions with common denominators can be added by adding their numerators. Learn how to express fractions as equivalent fractions with a common denominator. Understand how to add and subtract positive and negative fractions as well as mixed numbers.

 Fractions: Multiplying Concept Development
 Description: Understand why fractions can be multiplied by just multiplying their numerators and multiplying their denominators. Discover that multiplying with a fraction can result in a smaller number. Learn how to multiply mixed numbers.

 Fractions: Dividing Concept Development
 Description: Understand why fractions can be divided by inverting and multiplying. Discover that reciprocals result from switching the numerator and denominator. Divide fractions by inverting the second fraction and turning the division into multiplication.

 Healthy Forest Problem Solving
 Description: Plant a forest that offsets a city’s increasing carbon dioxide emissions using rates, graphs, and linear functions.

 Histograms Concept Development
 Description: Discover how histograms show the frequency of data within equal intervals.

 Integer Addition and Subtraction Concept Development
 Description: Learn how to add and subtract signed integers using counter and number line models.  Discover how to rewrite addition as subtraction and subtraction as addition.

 Integer Division Concept Development
 Description: Investigate division of integers using counters and directional line models on the number line.  Explore how the sign of the divisor and dividend determines whether the quotient is positive or negative.

 Integer Multiplication Concept Development
 Description: Understand integer multiplication as repeated addition or subtraction using visual models.  Investigate how the sign of the factors determines whether the product is positive or negative.

 Linear Equations: Graphing, Y-Intercept, Slope Concept Development
 Description: Understand that any linear equation can be written in slope-intercept form y = mx + b. Learn how to calculate the slope of a line as the ratio of rise to run and investigate different slope properties.

 Mean Concept Development
 Description: Understand that mean is the value in which items in a data set are grouped around. Learn how to calculate and interpret mean values.

 Measurement Concept Development
 Description: Investigate how measurement is the assignment of values using units and explore how measurement can be found using instruments or obtained using calculations.

 Median Concept Development
 Description: Explore median as the middle value of an ordered data set. Learn how to calculate and interpret median values.

 Order of Operations Concept Development
 Description: Understand that Order of Operations gives the rules for the correct order when performing operations. Appreciate why Order of Operations is important and learn how to apply the rules in order.

 Package Sorting Problem Solving
 Description: Program a scanner to recognize packages according to characteristic shape properties using sides, angles, and diagonals.

 Passenger Boarding Problem Solving
 Description: Develop a strategy to board passengers onto a plane as quickly as possible using data analysis, scatter plots, histograms, box plots, and probability.

 Patterns I: Finding and Extending Concept Development
 Description: Learn how to identify a pattern and predict the next term.  Understand that there can be multiple ways to analyze and view a pattern.

 Patterns II:  Function Rules Concept Development
 Description: Realize that a number pattern can be described by a rule using term numbers as input.  Learn how to analyze a number pattern and write a rule for the pattern using function notation.

 Percent Concept Development
 Description: Understand numbers expressed as percents and be able to translate from rates and decimals.

 Perimeter Concept Development
 Description: Examine how perimeter is the distance around a shape or figure and investigate perimiter formulas for some common shapes.

 Perpendicular Lines Concept Development
 Description: Explore how perpendicular lines intersect to form right angles and how the slopes of perpendicular lines equals negative one.

 Phone Plan Problem Solving
 Description: Design a phone plan to maximize revenue using data analysis, linear functions, averages, and problem solving.

 Place Value Concept Development
 Description: Learn how place value determines the value of digits based on their position in a number.

 Probability Concept Development
 Description: Examine how probability is the measure of chance assigned to an event whose outcome is not known in advance. Contrast theoretical and experimental probabilities.

 Pythagorean Theorem Concept Development
 Description: Learn that the Pythagorean Theorem describes the relationship between the lengths of the sides of a right triangle. Discover visual and algebraic proofs. Apply the Pythagorean Formula to find missing side lengths. Derive the distance formula for points in the coordinate plane.

 Description: Understand how radius is the distance from the center of a circle to any point on the circle.

 Random Concept Development
 Description: Discover that randomness is a process in which the outcomes of an experiment all have the same chance of happening.

 Rate Concept Development
 Description: Understand that rate compares two quantities of different kinds of units and learn how to express rates as unit rates.

 Ratio Concept Development
 Description: Examine how ratios compare different quantities. Understand that ratios can be written in several different ways and can describe part to part or part to whole comparisons.

 Regular Polygons Concept Development
 Description: Understand that regular polygons are plane figures that are equilateral and equiangular.

 Rounding Concept Development
 Description: Discover how rounding is a process which produces another number that is close to the original number. Learn how to round numbers up or down to the nearest rounding number.

 Scatter Plot Concept Development
 Description: Examine scatter plots as a way to graphically summarize how two sets of data are related and understand how to interpret positive, negative, weak and strong correlations.

 Scientific Notation Concept Development
 Description: Investigate scientific notation as a way to write very big or very small numbers by using powers of ten.

 Sequences Concept Development
 Description: Explore the characteristics of two special sequences: arithmetic and geometric sequences.

 Similar Figures Concept Development
 Description: Explore the angle and side congruency of similar shapes.

 Simplifying Expressions Concept Development
 Description: Understand that expressions are simplified when replaced by equivalent expressions by combining all like terms and removing all parentheses. Learn to identify terms, like terms, and coefficients. Review and use the distributive property.

 Solving Equations Concept Development
 Description: Understand that solving an equation means to find values of a variable that make the equation true. Discover equations can be changed as long as the same operation is performed to both sides. Learn to solve one- and two-step equations by isolating the variable.

 Sports Empire Problem Solving
 Description: Grow a Segway Polo league into an international phenomenon using large numbers, exponents, and estimation.

 Stem and Leaf Graphs Concept Development
 Description: Understand how stem and leaf plots display the frequency of the values in a data set by groups. Learn how to construct stem and leaf plots.

 Surface Area Concept Development
 Description: Investigate surface area as the total area of the surface of a space figure. Derive surface area formulas for common three dimensional figures.

 Triangles: Angle Sum Theorem Concept Development
 Description: Discover that the angles in a triangle always sum to 180°. Prove the Triangle Sum Theorem visually and algebraically. Use the Triangle Sum Theorem to find missing angles in simple and compound triangles.

 Triangles: Classifying Concept Development
 Description: Understand that triangles can be classified by their sides and angles. Investigate and explore scalene, equilateral, isosceles, obtuse, right, and acute triangles.

 Volume Concept Development
 Description: Examine volume as the interior space of a three dimensional figure and derive volume formulas for common objects.

 X- and Y-Intercept Concept Development
 Description: Learn how x- and y-intercepts are points at which a graph intercepts the x- and y-intercepts as well as how to determine these points.