Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Curated OER
Matrices: A Secret Weapon
Students perform operations with matrices. In this algebra lesson plan, students use cryptography and cryptanalysis to solve problems. They add, subtract, and multiply matrices.
Alabama Learning Exchange
Are Your Numbers Round?
Elementary schoolers investigate how to round numbers to the nearest tenth. In this number sense lesson, learners view a video clip on the Internet to practice rounding numbers. They use place value charts to help aid in the rounding...
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
Curated OER
Property Lists for Quadrilaterals
Young scholars establish classifications of shapes by various properties (angles, sides, etc.). They introduce the important properties of common shapes. Students develop an awareness of the wide variety of ways the 2-D shapes can be alike.
Curated OER
Play It
There are a number of activities here that look at representing data in different ways. One activity, has young data analysts conduct a class survey regarding a new radio station, summarize a data set, and use central tendencies to...
Curated OER
Exploring Exponential Growth and Decay Functions
Pupils differentiate between exponential growth and decay. In this algebra lesson, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.
Curated OER
Plugging Into The Best Price
Examine data and graph solutions on a coordinate plane with this algebra lesson. Young problem-solvers identify the effect of the slope on the steepness of the line. They use the TI to graph and analyze linear equations.
California Academy of Science
Building Better Buses: Transportation Design Challenges
Scholars learn about a series of three challenges when they design a bus system for a small town. They determine the bus routes and then figure out the best type of fuel to use before considering the cost of going electric. Learners...
Ohio State University
Exploration Activities with Electrostatic Interactions
Step out of the 21st century and discover protons and electrons through observation. Using common materials, participants continually adjust their explanation of charges. The final assessment requires pupils to design their own...
Curated OER
Body Changes in Space
Learners explain the cause of and effects of fluid shift in a microgravity
environment. Students identify the effects of microgravity during long duration space flight. Learners describe research on cardiovascular effects in microgravity...
Curated OER
Getting to the Bottom of the Pyramids
Students work together to develop logical arguments about pyramids and chain letters. They share their ideas with other groups and create a diagram showing the breakdown. They discuss the results.
Curated OER
Adam's Watch
Third graders use their watches to tell the time while the teacher lists their responses on the board along with the reasons for them (set incorrectly, gain/lose time). They solve the problem in pairs and focus their thinking on the...
Curated OER
Lake Crossing II
Students complete the following problem by using logic: Three couples, the Smiths, the Jones and the Browns wanted to go to the Brown's yacht that was moored a little way out in the lake. There was a dinghy to take them to the yacht but...
Curated OER
Multiplication Algorithm (1)
Third graders in a 3rd grade math class make connections from prior instruction and mastery to solve problems in new learning situations. Using logical thinking and prior knowledge to solve current math problems is the focus of this...
Curated OER
Noughts
Students try to figure out the strategies to the game Noughts. Students logic must play a part in the process of the game. Students apply the symmetries of regular polygons. Students devise ways to critically follow a chain of reasoning.
Curated OER
The Diagonal Of A Box
Students solve problems using the pythagorean theorem. They use critical thinking skills in order to use a systematic process to solve the problem. Upon solving each problem the uniqueness of the lesson is asking students to give an...
Curated OER
That's Not Fair
Fourth graders in pairs, go to the front of the class, where one student is given five pieces of candy in one hand and four in the other. The other student is given four candies in one hand and none in the other. They discuss if they...
Curated OER
Time Problems
Students make sensible estimates and check for reasonable results. They also solve problems with positive and negative integers using practical activities or models as needed.
Curated OER
Analysis of Atmospheric Conditions for a High Mountain Retreat
Students examine the relationship between altitude, atmospheric pressure, temperature and humidity at a particular location. They practice science and math in real world applications. They write reports detailing their scientific...
Curated OER
More No-Three-In-A-Line
Fourth graders read Mary's problem and make sure that they examine it.
After some discussion, let the class work on the problem in their groups.
They then take turns in putting a picture of their arrangement on the board.
Curated OER
Robots
Fourth graders devise and use problem solving strategies to explore situations mathematically (guess and check, make a drawing, use equipment). The use of logical reasoning is a focus of this lesson.
Curated OER
Can Stack
Learners are able to find the rule for summing consecutive numbers;
identify the pattern of triangular numbers. They then solve the given problem using logic and mathematical reasoning.
Curated OER
Square Pegs in Round Holes
Sixth graders problem solve the square peg in the round whole problem by applying knowledge of the formulas for the areas of the circle and the square. They decide on a problem solving strategy based on logical reasoning.
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