West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
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Proofs of the Pythagorean Theorem
Working individually and collaboratively, geometers gain a clear understanding of the Pythagorean theorem. They create, explain, and compare proofs of the theorem. Proofs involve areas of trapezoids, squares, and triangles, congruent...
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Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
West Contra Costa Unified School District
Sneaking Up on Slope
Pupils determine the pattern in collinear points in order to determine the next point in a sequence. Using the definition of slope, they practice using the slope formula, and finish the activity with three different ways to...
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
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"The Rajah's Rice: A Mathematical Folktale from India" adapted by David Barry
Learners use large numbers and learn exponential representation and explain patterns and relations of powers of 2.
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"The King's Chessboard" by David Birch
Students determine how a counting pattern is created is the story. They estimate how much rice is given to the wise man.
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Impossible Graphs
Students practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...
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A Special Relationship
Learners discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
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Introduction to Statistics: Mean, Median, and Mode
Students explore the concepts of mean, median, and mode. They develop an understanding and familiarity with these concepts. Students explore mean and median in an efficient way. Students explore three different measures of center.
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Box Plots
Young statisticians are introduced to box plots and quartiles. They use an activity and discussion with supplemental exercises to help them explore how data can be graphically represented.
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Quadratic Applications
For this quadratic applications worksheet, high schoolers complete graphs, charts, comparison charts, and more having to do with quadratic equations. Students complete 5 different activities.
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Sliding into Equations
Ninth graders translate sentences into equations. They translate equations into sentences. They solve real life problems using verbal models to write equations. They create a problem solution graphic organizer in their journals.
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Graphing Linear Equations
Ninth graders develop an understanding of and the applications for linear equations and their graphical displays. They participate in a cooperative learning activity of matching a graphic display with an equation.
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Functions and the Vertical Line Test
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
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I Have a Magic Pot
Pupils will explore numbers rules. They will create a picture of their rule and exchange their paper with a classmate. The classmate works to figure out the rule. They then share with each other how they found the rule. Questions are...
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Surface Area and Volume
Young scholars are introduced to the notion of surface area and volume, learn the terminology used with surface area and volume and have experimented with the surface area and volume of different prisms.
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Getting Students to Understand Why Learning Mathematical Concepts is Important
You can give a fresh response to that perennial question "when will we ever use this, anyway."
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Pascal's Triangle
Students study Pascal's triangle. They construct their own version of Pascal's triangle, and relate some of the uses for it. While working through this process, students practice their integer multiplication and division skills.
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Clock Arithmetic and Cryptography
Students perform basic operations in modular (clock) arithmetic. Students encode and decode messages using shift and affine ciphers. Students apply their multiplication, division, addition, and subtraction skills.
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2, 4, 6, 8 . . .What Do We Appreciate-Patterns, Patterns, Patterns
Students recognize patterns in a numerical sequence, create new patterns and predict outcomes to established sequences.
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Shape Detectives
Students become "shape detectives" as they identify, name, create and describe common shapes within pictures and objects found within the learning environment. Suggestions include incorporating shapes into all learning areas and daily...
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Commutative Property
First graders investigate the Commutative Property of Addition. It is introduced using models such as students, counters, balances and dominoes. They discover the order of the numbers in an addition sentence does not change the result...