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To search by State and Common Core standards, click here. |
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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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Examine how congruent angles have the same measure and learn how to construct congruent angles. |
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Investigate congruency properties for line segments, angles, and polygons. |
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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. |
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Explore how diagonals of a polygon join two nonconsecutive vertices and how to calculate the number of diagonals in 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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Plan an optimal flight route that minimizes time and delay using algebraic equations, measurement, and fractions. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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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. |
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Plant a forest that offsets a city’s increasing carbon dioxide emissions using rates, graphs, and linear functions. |
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Discover how histograms show the frequency of data within equal intervals. |
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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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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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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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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. |
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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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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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Explore median as the middle value of an ordered data set. Learn how to calculate and interpret median values. |
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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. |
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Program a scanner to recognize packages according to characteristic shape properties using sides, angles, and diagonals. |
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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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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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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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Understand numbers expressed as percents and be able to translate from rates and decimals. |
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Examine how perimeter is the distance around a shape or figure and investigate perimiter formulas for some common shapes. |
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Explore how perpendicular lines intersect to form right angles and how the slopes of perpendicular lines equals negative one. |
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Design a phone plan to maximize revenue using data analysis, linear functions, averages, and problem solving. |
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Learn how place value determines the value of digits based on their position in a number. |
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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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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. |
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Understand how radius is the distance from the center of a circle to any point on the circle. |
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Discover that randomness is a process in which the outcomes of an experiment all have the same chance of happening. |
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Understand that rate compares two quantities of different kinds of units and learn how to express rates as unit rates. |
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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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Understand that regular polygons are plane figures that are equilateral and equiangular. |
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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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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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Investigate scientific notation as a way to write very big or very small numbers by using powers of ten. |
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Explore the characteristics of two special sequences: arithmetic and geometric sequences. |
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Explore the angle and side congruency of similar shapes. |
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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. |
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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. |
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Grow a Segway Polo league into an international phenomenon using large numbers, exponents, and estimation. |
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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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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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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. |
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Understand that triangles can be classified by their sides and angles. Investigate and explore scalene, equilateral, isosceles, obtuse, right, and acute triangles. |
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Examine volume as the interior space of a three dimensional figure and derive volume formulas for common objects. |
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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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