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PRECALCULUS & CALCULUS 1&2 - ALL MY Activities Bundle PART 1

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Niki Math
128 Followers
Grade Levels
9th - 12th, Higher Education, Adult Education, Homeschool, Staff
Resource Type
Standards
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$290.22
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$290.22
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You Save:
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Niki Math
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Easel Activities Included
Some resources in this bundle include ready-to-use interactive activities that students can complete on any device.Β  Easel by TPT is free to use!Β Learn more.

Products in this Bundle (150)

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    Bonus

    Limits involving a parameter (plus solutions)

    Description

    (THE ITEMS INCLUDED HERE ARE ALL TURNED INTO EASEL DIGITAL!)

    This is PreCalculus and Calculus 1 & 2 ALL MY Activities Bundle PART 1. (Please check also PreCalculus & Calculus 1&2 ALL MY Activities Bundle PART 2 if you need more activities and more covered topics).

    This resource is a zipped file and represents 30% savings off of the items if purchased individually.

    With this bundle you will get fun and engaging partner and group activities, sorting and matching activities, independent and class self-checking practices, funny themed task cards, unique new activities like "Password Search", "Mathematician Search", "Calculus Terms Search" activities, "Win the hearts", "Turkey Hunting" , "Chase the Bats Away", "Who is Behind the Mask?"- matching games, rigorous practice problems classified into types/categories, etc. All these are created to strengthen and reinforce student learning, to improve students’ skills in PreCalculus and Differential and Integral Calculus and make students enjoy Math.

    The resource covers the following topics:

    PRECALCULUS

    ➻ Complex Numbers in Polar Form, Zeros of Polynomials, Polynomial Equations and Rational Functions

    β—ˆ Complex Numbers in Polar Form ( DeMoivre's Theorem)

    β—ˆ Zeros of Polynomials

    β—ˆ Polynomial Equations in Factored Form

    β€’ only with real solutions

    β€’ having imaginary and complex roots

    β€’ having real, imaginary and complex solutions

    β—ˆ Polynomial Equations in Standard Form (solving by factoring and by synthetic division)

    β€’ having only real solutions

    β€’ having real, imaginary and complex solutions

    β—ˆ Rational Functions (domain, range, x- and y - intercepts, vertical, horizontal and oblique asymptotes, holes)

    ➻ Exponential and Logarithmic Expressions & Equations

    β—ˆ Solving Exponential Equations without Using Logarithms

    β—ˆ Evaluating Logarithms and Logarithmic Expressions

    β—ˆ Expanding and Condensing Logarithms

    β—ˆ Solving Exponential Equations Using Logarithms

    β—ˆ Solving Logarithmic Equations

    β—ˆ Systems of Exponential and Logarithmic Equations

    ➻ Inequalities

    β—ˆ Solving Inequalities:

    Β· Quadratic

    Β· Polynomial

    Β· Rational

    Β· Radical

    Β· Exponential

    Β· Logarithmic

    Β· Trigonometric

    ➻ Nonlinear Systems

    β—ˆ Solving Systems of Nonlinear Equations

    Β· linear and quadratic functions ( a line and a parabola)

    Β· two quadratic functions ( two parabolas)

    ➻ Trigonometry (Trig Identities and Equations) and Geometry

    β—ˆ Law of Sines

    β—ˆ Law of Cosines

    β—ˆ Distance and Midpoint

    β—ˆ Equations of Circles

    β—ˆ Area of Plane Figures (using trigonometry, Heron's formula and Pythagorean Theorem)

    β—ˆ Simplifying Trigonometric Expressions by using

    β€’ fundamental trigonometric identities (Pythagorean, Quotient, Reciprocal, Co-function Identities)

    β€’ Double - Angle, Half - Angle, Angle - Sum and - Difference, Sum- to - Product, Product - to - Sum Identities

    β—ˆ Proving and Disproving Trigonometric Identities

    β—ˆ Solving Trigonometric Equations

    β€’ by Factoring β€’ by the Square Root Method β€’ by the Quadratic Formula β€’ by All Methods

    β€’ by using the fundamental trigonometric identities

    ➻ Linear Algebra

    β—ˆ Finding Determinants of 2x2 and 3x3 Matrices

    β—ˆ Adding, Subtracting and Scalar Multiplication of Matrices

    β—ˆ Multiplying Matrices

    β—ˆ Inverse of 2x2 and 3x3 Matrices

    β—ˆ Solving Matrix Equations

    β—ˆ Solving Linear Systems with Three Variables

    CALCULUS 1 (for the 1st semester)

    ➻ Limits

    β—ˆ Computing Limits

    β—ˆ Limits at Infinity

    β—ˆ Infinite Limits

    β—ˆ L'Hospital's Rule and Indeterminate Forms

    β—ˆ Using Limits to Find Asymptotes (vertical, horizontal and slant)

    β—ˆ Limits Involving a Parameter

    ➻ Derivatives

    β—ˆ Power Rule

    β—ˆ Product and Quotient Rule

    β—ˆ Derivatives of Exponential Functions

    β—ˆ Derivatives of Logarithmic Functions

    β—ˆ Derivatives of Trigonometric Functions

    β—ˆ Derivatives of Inverse Trigonometric Functions

    β—ˆ Derivatives of Hyperbolic Functions ( forthcoming products)

    β—ˆ Chain Rule

    β—ˆ Second Derivative

    β—ˆ Higher Order Derivatives

    β—ˆ Finding a Derivative at a Point

    β—ˆ Logarithmic Differentiation

    β—ˆ Implicit Differentiation

    β—ˆ Tangent Lines

    β—ˆ Absolute Extrema

    β—ˆ Classifying Critical Points

    β—ˆ Increasing and Decreasing Functions (Monotone Intervals)

    β—ˆ Relative Extrema

    β—ˆ Rolle's Theorem and the Mean Value Theorem

    β—ˆ First and Second Derivative Tests

    β—ˆ Intervals of Concavity and Inflection Points

    β—ˆ Curve Sketching

    ➻ Integrals

    β—ˆ Computing Indefinite Integrals

    β—ˆ Substitution Rule for Indefinite Integrals

    β—ˆ Computing Definite Integrals

    β—ˆ Properties of Definite Integrals

    β—ˆ Substitution Rule for Definite Integrals

    CALCULUS 2 (for the 2nd semester)

    ➻ Integrals

    β—ˆ Integration Using U - Substitution

    β—ˆ Integration by Parts

    β—ˆ Integrals Involving Trig Functions

    β—ˆ Integration Using Different Substitutions

    β—ˆ Integrals Involving Trig Functions Using Trig Substitutions

    β—ˆ Partial Fractions and Long Division

    β—ˆ Integrals Involving Roots

    β—ˆ Integrals Involving Quadratics ( Completing the Square Method)

    β—ˆ Improper Integrals

    β—ˆ Area Between Curves

    ➻ Differential Equations

    β—ˆ Separable Differential Equations (Finding General Solutions)

    β—ˆ Separable Differential Equations (Finding Particular Solutions)

    β—ˆ Linear Differential Equations (Finding General Solutions)

    ➻ Infinite Series

    β—ˆ The Ratio and Root Test

    β—ˆ Integral Test

    β—ˆ Alternating Series Test

    ➻ Parametric Equations

    β—ˆ Eliminating the Parameter, Finding Parametric Equations & Graphing Parametric Curves

    β—ˆ Finding the First and Second Derivatives

    β—ˆ Finding the Slope of a Parametric Curve

    β—ˆ Finding the Equation of a Tangent Line at a Point

    β—ˆ Determining the Concavity at a Point

    β—ˆ Finding the Arc Length on a Given Interval

    β—ˆ Finding the Area Under a Curve on a Given Interval

    ➻ Vectors in 2 and 3 Dimensions

    β—ˆ Component Form, Magnitude and Direction, Unit vectors, ijk Form

    β—ˆ Operations with Vectors, Linear Combinations

    β—ˆ Dot Product, Angle Between Two Vectors, Orthogonal Vectors, Projections

    ➻ Vector - Valued Functions

    β—ˆ Finding the Domain

    β—ˆ Graphing Vector- Valued Functions

    β—ˆ Computing Limits

    β—ˆ Finding Derivatives

    β—ˆ Evaluating Integrals

    ➻ Polar Coordinates

    β—ˆ Converting between Polar & Rectangular Coordinates

    β—ˆ Converting Rectangular Equations to Polar and Converting Polar Equations to Rectangular

    β—ˆ Slopes and Tangent Lines for Polar Curves

    NOTE: You are purchasing a single teacher license. You may share any part of this download with your ELL/ELS and Special Educational departments to benefit your students without purchasing additional licenses. If you need additional license for other members of your department they are available at a discounted rate.

    Total Pages
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    Answer Key
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    Teaching Duration
    Lifelong tool
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    Standards

    to see state-specific standards (only available in the US).
    Know there is a complex number π˜ͺ such that π˜ͺΒ² = –1, and every complex number has the form 𝘒 + 𝘣π˜ͺ with 𝘒 and 𝘣 real.
    Use the relation π˜ͺΒ² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
    Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
    Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.
    Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, (-1 + √3π˜ͺ)Β³ = 8 because (-1 + √3π˜ͺ) has modulus 2 and argument 120Β°.

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    128 Followers