CK-12 Foundation
Horizontal Translations or Phase Shifts: Cosine
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...
CK-12 Foundation
Vertical Translations
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how to...
Curated OER
Translate Equations
For this translating equations worksheet, 7th graders solve 18 different problems related to translations. First, they use variables and the appropriate operations to write an expression or equation for each. Then, students evaluate each...
Curated OER
Chapter 2 - Objective 3.1 Translate Equations
In this translate worksheet, learners read statements and translate them into a variable expression. This one-page worksheet contains ten problems.
Curated OER
Extra Practice 1.4: Algebraic Equations
For this algebraic equations worksheet, students read given story problems, translate them into algebraic equations, draw models of the equation, and solve the problem. This one-page worksheet contains 18 multi-step problems.
Curated OER
Chemical Equations and Symbols
In this chemical equations and symbols worksheet, high schoolers are given two written equations and they translate each into chemical symbols. They are given two equations with chemical symbols and they translate them into written...
Curated OER
Test #2 Equations Review
For this equations review worksheet, students solve algebraic equations with one variable. They use inverse operations to solve for the unknown. Students translate word sentences to number sentences and then solve. This two-page...
Curated OER
Translate a Story Problem: Nickels, Dimes, and Quarters
In this translating a story problem worksheet, students translate a word problem into algebraic symbols. They solve the problem. Students move their mouse over the problem to see the answer.
Curated OER
Solving Using Linear Equations
Seventh graders explore linear equations. They observe the relationship between linear equations an patterns. Students make decisions using information given in graphs to solve linear equations. They perform a toothpick activity to...
Curated OER
Equations in Motion: Design and construct a mobile
Students participate in a lesson that covers the concepts of solving equations and inequalities. To master the concept they must demonstrate visually and verbally how both sides of an equation must be balanced. They construct a balanced...
Curated OER
Graphing Absolute Value Equations
In this algebra worksheet, learners graph absolute value equations and use translations to move the graph around on a coordinate plane. There are 4 questions with an answer key.
Mathematics Assessment Project
Sorting Equations of Circles 2
How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...
Illustrative Mathematics
Sharing Markers
Let your first graders translate these word problems into subtraction sentences. Some of the equations involve finding the answer after Char gives some of her markers away, while others require finding the amount of markers Char started...
Curated OER
Exploring Quadratic Data : Transformation Graphing
High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...
Curated OER
Algebraic Expressions
In this algebra worksheet, mathematicians identify important vocabulary related to solving equations. They create and simplify expressions and solve word problems. There are a total of 10 questions that provide a good review of the first...
Curated OER
Parent Functions Review Sheet
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
Curated OER
Formulae
Learners complete a 24 page unit. They solve expressions by plugging in values, and translate words into algebraic equations. Included are: mixed operations, square roots, exponents and negative numbers. This resource provides a good...
Illustrative Mathematics
Guess My Number
Make a game out of solving equations. This particular activity works well for pairs of learners. Follow the instructions to have player one pick a number and player two verbally give an equation. Participants need to make sense of a...
Curated OER
US Airports, Assessment Variation
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
Curated OER
Equations 1
Students discuss the meaning of balance and how it applies to equations. After listening to a lecture, they practice solving equations with two orders of operation and doing whatever they do on one side to the other side as a class. To...
Curated OER
Equation Translation
Students translate simple mathematical equations into sentences. For this equation lesson, students identify trigger words to translate simple math equations into sentences and sentences into mathematical equations.
EngageNY
Four Interesting Transformations of Functions (Part 2)
What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth instructional activity in a 26-part series focuses on...
Illustrative Mathematics
Similar Circles
Young geometers flex their transformation muscles in this brief but powerful exercise using dilations and translations to develop the similarity of circles. The plan provides guidelines to help learners navigate a pair of deceptively...