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Cups and Cubes
Third graders explore the use of cups and counters as a model to analyze the effects of operations. They create and use a rule to create a sequential pattern and use cups and cubes to model the relationship.
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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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Impossible Graphs
Students distinguish between possible and impossible graphs of functions, and to learn why some graphs are impossible. They have practiced plotting functions on the Cartesian coordinate plane
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Pizza Toppings 2
Students explore possible combinations of items. They devise and use problem solving strategies to explore situations mathematically. They examine using linear and quadratic patterns to solve combination problems. From a given...
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Flow Rates of Faucets and Rivers
Students work together to discover the flow rates of faucets and rivers. They relate their results to engineering and applied science concepts. They make predictions on the flow rate of a nearby river in their local community.
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From a Square to a Rectangle
Eighth graders solve problems involving percentage increases and decreases. Using given percentages, 8th graders transform a square into a rectangle. They apply the area formulas for squares and rectangles.Students observe the percent...
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Linear Graphs and Patterns
Fifth graders find pairs of whole number co-ordinates and use them to draw graphs in problem contexts. They find and interpret the all meaningful pairs of whole number co-ordinates from graphs.
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Tilted Squares and Right Triangles
Learners investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
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Moving Straight Ahead
Students analyze the relationship between speed, time and distance. In this math lesson plan, students plan a school trip. Students determine the efficiency and cost effectiveness of a trip.
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Distance over Time
Students analyze velocity and how it is determined. They experiment with velocity in order to measure and calculate the magnitude of speed. They use examples in their novel "Skateboard Renegade" to relate velocity to real life situations.
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
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Solving Motion Word Problems
In this word problems worksheet, students solve twenty-eight motion/rate word problems. The formula used in solving rate problems is provided at the top of the worksheet. Answers are provided at the bottom of the worksheet.
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Punch Mix-up
Fifth graders discuss the relationship between equivalent fractions, ratios, and proportions. In this fraction lesson, 5th graders answer questions about a punch mixture in order to find the ratio of ingredients.
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Scale factors: Ratios and Proportions
Students create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
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From Probability to Combinatorics and Number Theory
Middle schoolers see how division is used to help solve probability problems. They use tables as data structures where they are used to count outcomes and to compute probabilities. Students use games to help solve probability problems.
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Misleading Graphs
Students explore number relationships by participating in a data collection activity. For this statistics lesson, students participate in a role-play activitiy in which they own a scrap material storefront that must replenish its stock....
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Can Stack
Students 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.
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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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Still More Lollies
Fourth graders listen to the problem to the class and think about how they solve the problem and to discuss it with their friends using number sentences in their written record of the solution.
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Rules of Sign Change
Students manipulate negative and positive numbers. In this integers instructional activity, students move through three activities exploring negative and positive whole numbers. A number line, cardboard function representation, and...
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The Pythagorean Theorem
Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students discuss how the Pythagorean Theorem is used in their lives. Students imagine building a lean-to that is 3 ft. high and 4 ft. wide;...
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Figure This!
Second graders explore the concept of inequalities. They use the mathematical symbols =, <, > to show relationships among numbers. Students devise and use problem solving strategies to explore the situation.