EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Curated OER
Matrix Inverses
Learners solve problems with matrices. In this algebra lesson plan, students find the inverse of a matrix. They calculate the determinant and solve for the identity.
Curated OER
Perfect Squares and Factoring
A teacher guided lesson on perfect squares and factoring. They discuss perfect squares, observe the expansion steps for finding the product, and practice solving problems. They complete a worksheet on perfect squares and factoring.
Blogger
Properties of Real Numbers
Three tables, prepared for learners to write notes about the properties of real numbers, are squeezed onto one printable. The addition and multiplication of real numbers are the focus of the notes.
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
EngageNY
When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
EngageNY
When Can We Reverse a Transformation? 3
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third lesson on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous two lessons....
CK-12 Foundation
Factor Polynomials Using Special Products: Difference of Two Squares
Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...
Curated OER
Worksheet 4 - Math 126: Sketching Polar Equations
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
Curated OER
Evaluate Integrals
For this evaluate integrals worksheet, learners solve and complete 10 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students substitute and use integral formulas for sine functions....
Curated OER
Trigonometry Worksheet
In this trigonometry worksheet, 4th graders solve trig functions using the identity properties. They are 2 problems.
Curated OER
Precalculus Test
For this worksheet, 11th graders assess their knowledge of arcsin, tan, arccos and other trig functions identity. There are 17 questions on this test.
Curated OER
Precalculus, Droodle Review Sheet
In this pre-calculus worksheet, students solve 20 problems in order to determine the "Droodle." Each correct answer the students achieve will be associated with a letter, that letter will be used to uncover the identity of a strange...
Curated OER
The Pink Panther
In this calculus activity, students use tangrams to create different shapes and patterns. They relate each segments to a trigonometric identity with its integral.
Curated OER
Transformation
In this transformation learning exercise, students identify and solve 10 different problems that include various images. First, they determine whether each object illustrated is a mirror image or reflection of the other image in the...
EngageNY
Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
CK-12 Foundation
Sum and Difference of Cubes: Stacking Blocks
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
Curated OER
Matrices
In this Algebra II learning exercise, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page learning exercise contains explanation of topic, worked examples, and five practice...
Curated OER
Linear Systems: Other Methods of Computing Determinants
In this computing determinants instructional activity, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This...
Curated OER
Trigonometry - Week 9
In this trigonometry worksheet, pupils use the sum-to-product formula, and the law of sines and cosines to solve trigonometry problems. This two-page worksheet contains eight problems.
Curated OER
Trigonometric Examples of Integration by Substitution
In this integration instructional activity, students use trigonometric identity and integration by substitution to solve given integrals. This two-page instructional activity contains three problems.
Curated OER
Trigonometry Worksheet
For this trigonometry worksheet, students use the law of sines to find the length of a missing side of a triangle. They prove trigonometric identity and use Heron's formula to find the area of a triangle. This two-page worksheet...
Curated OER
Evaluate Integrals
In this evaluating integrals activity, learners solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They also...
Curated OER
Evaluate Integrals
For this evaluate integrals worksheet, learners solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
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