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Sim Professional Development and Enterprise Learning: 3 Reasons Why Systems Thinking Is Important for Innovation
In a world where interconnectedness and complexity hold sway, systems thinking offers a disciplined approach to make sense of the world and find innovative solutions to problems. How can a disciplined systems thinking approach lead...
Council for Economic Education
Econ Ed Link: One Hen: How One Small Loan Made a Big Difference
The picture book One Hen: How One Small Loan Made a Big Difference, written by Kate Smith Milway, takes place in Africa. Here in a Ghanan village, young Kojo cannot afford to go to school after the death of his father. His resourceful...
Creative Science Centre
Creative Science Centre: Home Made Tripod
A simple home-made tripod is described that can be used for a variety of uses including lighting and for antennas. It can be made from pine, plywood and small brass hinges finished off with a coat or two of varnish.
Illustrative Mathematics
Illustrative Mathematics: Boys and Girls, Variation 1
This word problem focuses on the Put Together/Take Apart contexts for addition and subtraction. Learners may use objects, pictures, or equations to represent their solutions. Examples and explanations are provided.
Iowa State University
Iowa State University: Group Decision Making Tool Kit
Six different techniques briefly stated that can help groups with decision making.
Illustrative Mathematics
Illustrative Mathematics: 7.ns Sharing Prize Money
In this lesson, 7th graders solve real world problems using the four operations.
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies I
In this problem, young scholars will use the number of decimal places in the coefficients to motivate writing and solving a system of equations. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: 6.rp, 7.rp.3 Climbing the Steps of El Castillo
A performance task in which students solve a problem involving a proportional relationship. The problem is: The temple at the top of the pyramid is approximately 24 meters above the ground, and there are 91 steps leading up to the...
Illustrative Mathematics
Illustrative Mathematics: 7.rp Dueling Candidates
Seventh graders use proportional reasoning to solve word problems regarding an election.
Illustrative Mathematics
Illustrative Mathematics: Running to School
This is the easiest problem in a series of three tasks involving fraction multiplication that can be solved with pictures or number lines. Aligns with 5.NF.B.6.
Illustrative Mathematics
Illustrative Mathematics: G C, G Srt Setting Up Sprinklers
In this task, students must decide where to place sprinklers on a lawn so that the maximum area of the lawn will be watered. To solve it, they must find areas of sectors of circles and use trigonometric ratios to solve right triangles....
Illustrative Mathematics
Illustrative Mathematics: G Gmd Centerpiece
This problem presents a wedding reception scenario. The bride is creating centerpieces for the tables and must calculate how many marbles she needs to partly fill the vases and stay within her budget at the same time. Aligns with G-GMD.A.3.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Making Hot Cocoa, Variation 2
In this task, 6th graders solve a fraction division problem by drawing a picture, interpreting it, identifying an equation that represents the problem, and verifying that the equation gives the same answer as the picture. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: G Mg Paper Clip
A paper clip is just over 4 cm long. How many paper clips like this may be made from a straight piece of wire 10 meters long? This high level task is an example of applying geometric methods to solve design problems and satisfy physical...
Illustrative Mathematics
Illustrative Mathematics: A Apr Egyptian Fractions Ii
In this task, learners will rewrite fractions as a sum of distinct unit fractions. To solve the problem, students will rewrite a simple rational expression and will need to study the arithmetic of these unit fractions with a variable in...
Illustrative Mathematics
Illustrative Mathematics: 6.ns Video Game Credits
Sixth graders solve problems requiring fraction division in this task about video game credits. Aligns with 6.NS.A.1.
Illustrative Mathematics
Illustrative Mathematics: G Gpe, G Srt Slope Criterion for Perpendicular Lines
The goal of this task is to use similar triangles to establish the slope criterion for perpendicular lines. Aligns with HSG-GPE.B.5 and HSG-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Gpe, G Srt Finding Triangle Coordinates
Given a picture of a triangle on a coordinate grid, students are asked to find the coordinates of points which divide line segments in a given ratio. Aligns with G-GPE.B.6 and G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Gpe.5 Triangles Inscribed in Circle
In this task, students use ideas about linear functions to determine when certain angles are right angles. They use the fact that two lines (if not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals, as...
Illustrative Mathematics
Illustrative Mathematics: G Srt Shortest Line Segment From a Point P to a Line L
For this task, students develop an understanding that the shortest path from a point to a line always meets the line at a right angle. Aligns with G-SRT.C.8.
Illustrative Mathematics
Illustrative Mathematics: G Srt Tangent Line to Two Circles
The purpose of this task is to use similar triangles and setting up a proportion in order to calculate a side length. Aligns with G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Gmd Volume Estimation
In this task, students are asked to estimate the volume of a non-standard 3D solid by referencing either a cone or a cylinder. Aligns with G-GMD and G-GMD.A.3.
Illustrative Mathematics
Illustrative Mathematics: G Mg Satellite
This task models a satellite orbiting the Earth in communication with two control stations located miles apart on Earth's surface. Students determine distances between various locations and, given a rate of travel, they determine the...
Illustrative Mathematics
Illustrative Mathematics: F Tf Trigonometric Ratios and the Pythagorean Theorem
The purpose of this task is to use the Pythagorean Theorem to establish a fundamental trigonometric identity for an acute angle. The reasoning behind this identity is then applied to calculate a cosine for a given obtuse angle. Aligns...