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Design a mountain race course that meets length and slope specifications using Pythagorean Theorem, slope, and scale. |
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Build a pyramid that meets volume and surface area specifications. |
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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. |
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Understand and learn how to construct points, segments, and rays of bisection. |
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Investigate how box plots display the range and distribution of data along a number line and learn how to construct these graphs. |
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Investigate and learn how to calculate circumference. |
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Description: |
Understand how common denominator is a common multiple of the denominator of two or more fractions with unlike denominators. Learn how to write rewrite unlike fractions using common denominators. |
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Description: |
Investigate congruency properties for line segments, angles, and polygons. |
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Examine how congruent angles have the same measure and learn how to construct congruent angles. |
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Explore how diagonal lines join two nonconsecutive vertices of a polygon. |
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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. |
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Description: |
Plan an optimal flight route that minimizes time and delay using algebraic equations, measurement, and fractions. |
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Description: |
Discover how to add fractions by first finding a common denominator. |
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Description: |
Learn how to divide fractions and discover why invert and multiply algorithm works. |
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Description: |
Discover why fraction multiplication can be performed by multiplying the numerators and denominators. Learn how to multiply improper fractions and mixed numbers. |
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Description: |
Understand the concept of less than and greater than as concepts of inequality. |
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Description: |
Plant a forest that offsets a city’s increasing carbon dioxide emissions using rates, graphs, and linear functions. |
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Description: |
Discover how histograms show the frequency of data within equal intervals. |
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Description: |
Examine how thee hypotenuse is the longest side of a right triangle and always opposite the right angle. |
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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. |
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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. |
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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. |
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Description: |
Understand the concept of less than and greater than as concepts of inequality. |
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Description: |
Explore how linear functions have a straight line and constant rate of change. |
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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. |
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Description: |
Investigate how measurement is the assignment of values using units and explore how measurement can be found using instruments or obtained using calculations. |
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Description: |
Explore median as the middle value of an ordered data set. Learn how to calculate and interpret median values. |
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Description: |
Program a scanner to recognize packages according to characteristic shape properties using sides, angles, and diagonals. |
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Description: |
Develop a strategy to board passengers onto a plane as quickly as possible using data analysis, scatter plots, histograms, box plots, and probability. |
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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. |
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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. |
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Description: |
Understand numbers expressed as percents and be able to translate from rates and decimals. |
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Description: |
Examine how perimeter is the distance around a shape or figure and investigate perimiter formulas for some common shapes. |
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Description: |
Explore how perpendicular lines intersect to form right angles and how the slopes of perpendicular lines equals negative one. |
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Description: |
Design a phone plan to maximize revenue using data analysis, linear functions, averages, and problem solving. |
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Description: |
Learn how place value determines the value of digits based on their position in a number. |
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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. |
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Description: |
Discover how the Pythagorean Formula describes the relationships between the lengths of the legs and hypotenuse of a right triangle. |
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Description: |
Understand how radius is the distance from the center of a circle to any point on the circle. |
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Description: |
Discover that randomness is a process in which the outcomes of an experiment all have the same chance of happening. |
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Description: |
Understand that rate compares two quantities of different kinds of units and learn how to express rates as unit rates. |
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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. |
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Description: |
Understand that regular polygons are plane figures that are equilateral and equiangular. |
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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. |
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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. |
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Description: |
Investigate scientific notation as a way to write very big or very small numbers by using powers of ten. |
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Description: |
Explore the characteristics of two special sequences: arithmetic and geometric sequences. |
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Description: |
Explore the angle and side congruency of similar shapes. |
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Description: |
Explore how the slope of a line is a ratio of the rise to the run. |
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Description: |
Learn how to solve one- and two-step linear equations. |
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Description: |
Grow a Segway Polo league into an international phenomenon using large numbers, exponents, and estimation. |
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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. |
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Description: |
Investigate surface area as the total area of the surface of a space figure. Derive surface area formulas for common three dimensional figures. |
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Description: |
Examine volume as the interior space of a three dimensional figure and derive volume formulas for common objects. |
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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. |
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