West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
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Introduction to Inverse Functions
Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
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NUMB3RS Activity: Coded Messages
Using matrix multiplication and inverse matrices, high schoolers are trying to uncode a coded message. Students encrypt simple messages using 2 x 2 matrices.
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Discovering Ohm's Law
Connect math with science! Pupils apply properties of Ohms Law as they solve problems and identify the inverse relationship of a function. They analyze the shape of the graph of an inverse function and use it to make predictions.
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Calculus Inverse Derivative
Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
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Functions and Inverses
High schoolers solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
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Composition of Functions
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
Illustrative Mathematics
Invertible or Not?
What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
K12 Reader
5th Grade Master Spelling List
Here's a spelling program that includes 36 lists of 21 words and 20 suggestions for weekly activities. Each list includes common and proper nouns, sight words, academic vocabulary, and words built on a specific Greek roots.
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Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
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Matrix Inverses
Students solve problems with matrices. In this algebra lesson, students find the inverse of a matrix. They calculate the determinant and solve for the identity.
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Getting Out of Line
Students explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this lesson is to help students begin to recognize patterns...
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Dynagraphs
Students collect and graph their data. In this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.
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Finding Fractional Parts Using an Area Model
Students explore math functions by completing a problem solving worksheet in class. In this division lesson, students utilize visual aides such as marshmallows and candy to visualize the act of division. Students complete a division...
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Investigation - Who is Right?
Third graders explore mathematics by solving problems in groups. In this math functions lesson, 3rd graders demonstrate their understanding of addition and subtraction by completing two digit math problems. Students define a list of math...
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What is Log?
Young mathematicians differentiate between logs and natural logs in this algebra instructional activity. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
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Skate Party
Learners use the Frayer model during problem solving. In this problem solving instructional activity, they examine multiple methods of data collection to solve real world problems. Resources are provided.
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Oodles of Poodles
Students solve equations by graphing. For this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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Investigating Correlation
High schoolers investigate different types of correlation in this statistics lesson. They identify positive, negative and no correlation as it relates to their data. They then find the line of best fit for the plotted data.
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Visualizing Integers
Students create visuals on the TI Calculator to solve problems. In this algebra lesson, students perform basic operations with integers. They add, subtract, multiply and divide.
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Speaking Skills - Asking Questions
Students improve speaking confidence when using difficult question forms. This lesson focuses on helping students explain how to engage in this kind of social conversation. A worksheet imbedded in this plan provides practice.