EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
Curated OER
Relating Multiplication and Division
Help the class determine missing factors in equations by creating arrays. Through modeling and practice, they come to see the inverse relationship between multiplication and division. As an assessment, individuals build their own array...
Curated OER
Dividing
Fifth graders explore the inverse proportional relationship and direct proportional relationship. They complete division chart showing the inverse relationship and direct relationship. Students are shown that division problems can be...
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 2
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
CK-12 Foundation
Mental Math for Addition and Subtraction Equations: Marble Bag Collector
Don't lose your marbles as your learn about addition and subtraction equations. Pupils investigate the relationship between addition and subtraction by using an interactive. They drag different color marbles into a box and identify the...
Curated OER
Squares, Square Roots, and Exponential Expressions
Students explore the concepts of square roots and exponential expressions. In this square root and exponential expression lesson, students complete an investigation called Building A Square Patio. Students use color tiles to develop the...
Curated OER
Adding and Subtracting
Students will add and subtract numbers less than 100 as well as understand and use the inverse relationship between addition and subtraction. They compose/decompose numbers up to 10 and understand a variety of situations in which...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
Alabama Learning Exchange
Logarithms: Undo the Exponential
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
Curated OER
Parabolas and Inverse Functions
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Curated OER
Subtraction as the Opposite of Addition
In this basic math operation worksheet, learners learn that subtraction is the inverse of addition. They then solve 8 subtraction problems and use addition to check the answers. Answers are available on the second page.
Curated OER
Faster speed-Shorter Time
Learners calculate the inverse variation, and speed given the formulas. In this algebra instructional activity, students investigate properties of conics, focusing on the hyperbola. They identify the distance between the directrix and...
Curated OER
Working with Wavelets
In this working with wavelets worksheet, students solve 7 various problems that include working with different wavelets in each. They compute the synthesis given two segments and y, describing what they observe. Then, students plot...
Curated OER
Playing Math Fever
Pupils complete activities to learn notation and uses for positive and negative numbers. In this number system activity, learners play a game similar to Jeopardy to learn how to solve problems with positive and negative numbers.
Curated OER
Direct and Inverse Variation
Eighth graders participate in two data collection activities that involve direct and inverse variation. In the pre-assessment, 8th graders categorize numerical, graphical, and verbal representations as linear or nonlinear and determine...
Curated OER
Relate Multiplication and Division
In this word problem worksheet, students solve 6 problems in which they identify the relationship between multiplication and division as inverse operations. They draw arrays and write equations.
Curated OER
Multiplication and Division Facts, Sheet 2
In the multiplication and division worksheet, students write 2 related multiplication equations for 18 different division equations in order to learn about the inverse relationship between division and multiplication.
Curated OER
Exponential Expressions - Perfect Squares, Square Roots
Color tiles are used to model perfect squares. Alone or in pairs, middle schoolers will find patterns. Afterward, the relationship between perfect squares and roots will be discussed as a whole class.
Curated OER
Far Out Fact Families
Second graders explore related multiplication and division facts. They study the inverse relationship of multiplication and division and engage in a group discussion about families. They complete a web-based lesson which is imbedded in...
Curated OER
Joining Hands
Second graders explore the inverse relationship of addition and subtraction in a "hands-on" activity based on the fact families of ones, twos and threes.
Curated OER
Fact Families
With a few extra numbers, these fact families would be complete! After looking at an example, scholars write in the sums and differences for six equations as part of three different fact families. This is really for beginners to this...
Curated OER
Compare Two Numbers: How Many Times More Than...?
Explore the concept of "how many times" where the word "times" is defined. Learners will determine the product and quotient in a word problem. Then use manipulatives to solve the problem. Finally, they will write in their math journals...
Illustrative Mathematics
Temperatures in degrees Fahrenheit and Celsius
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...
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