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Geometry: Lesson 10
Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.
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Patterns in Pascal's Triangle
Students examine the patterns that exist in Pascal's Triangle. They explore multiples and factors. Sudents use an applet to create and color the multiples in Pascal's Triangle.
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Finding Patterns in Fractals
Students discover patterns and sequences. They use a website to explore patterns and fractals. Students share their discovery of fractals and their patterns with the class. They develop a list of patterns used in everyday life.
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Introduction to Arithmetic and Geometric Sequences
Students examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Students practice determining the starting values to use in order to produce a desired sequence.
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Tessellations: Geometry and Symmetry
Students examine tesselllations and their geometric properties. They have a better knowledge of polygons, can identify types of symmetry in tessellations. Also students use visulization, spatial reasoning, and geometric modeling to...
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Fraction Equivalence
Fourth graders explore fractions. They compare different fractions using fraction bars. Students find equivalent fractions and they use fraction bars to visualize addition of fractions.
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Extending Geometric and Numeric Patterns
Learners study patterns. They construct growing patterns using pattern blocks and isosceles right triangles. They verbally describe the patterns and state the rule that describes the relationship involving the number of pattern blocks...
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Repeating Patterns
Pupils explore growth patterns by using manipulatives such as pattern blocks, investigate growth pattern of pattern, record growth in T-chart, describe how pattern is growing, and predict number of blocks needed to extend pattern.
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Patterns That Grow
Pupils investigate growing patterns. In this additive patterns instructional activity, students analyze the core of growing patterns. Pupils extend additive patterns based on the core.
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Batter Up
Students use a variety of strategies to figure out the cost of baseball tickets. They use a combination chart, notebook notation, etc. to find the cost of their family to attend a Cardinal's game in St. Louis.
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Tortillas
Students convert recipes for tortillas. They calculate the amounts of ingredients as they convert recipes and write an explanation of the task to demonstrate their calculations. After reviewing their calculations, they demonstrate how...
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Missed The Boat
Students complete time and distance problems. Using appropriate problem solving strategies, students determine when a helicopter will catch a cruise ship. Students write a summary of their solution process. They complete a graph to...
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The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
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Four Fours Challenge
Second graders look at the number patterns created when tins are stacked in different arrangements. The aim of the unit is for students to keep track of the numbers involved by drawing up a table of values. They are then encouraged to...
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Problem Solving in Mathematics
Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.
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Exploring Arrangements of 2, 3, 4, and 5 Cubes
Students construct models of various tricubes, tetracubes, and pentacubes that are possible, classify n-cubes into different groupings, and draw these figures on isometric dot paper giving true perspective to what they visualize.
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Go the Distance
Students work together to build lego cars. They make predictions about how fast they believe the cars will go. They record their observations and discuss their results.
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Practicing Arithmetic
High schoolers practice single operation arithmetic ranging from single digit addition to long division of decimals or real numbers using Graphit. They use data sets and rules to graph ordered pairs.
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Using Representations to Model Problems
student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...
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Allison the Alligator
Second graders are introduced to the concepts of greater than and less than. This leads to the use of inequalities. The teacher tells the story about an alligator in order to create a fun environment for practicing the objectives of the...
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Are You Absolutely Sure of the Value?
Seventh graders develop an examineing of absolute value through real world situations. They develop an examineing of when absolute value can be used in a given situation.
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Properties of Fractals
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
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Counting Pills
Students are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.