SUBJECT: Mathematics Advanced Algebra STRAND: Numerical Patterns Grade 8

Transcription

1 STRAND: Numerical Patterns 1. Algebraic Sequence Finding Common Difference Finding nth Term 2. Algebraic Series Finding Sum 3. Geometric Sequence Finding Common Ratio Finding nth Term 4. Geometric Series Finding Sum Observation of Patterns in Nature Video

2 SUBJECT: Mathematics STRAND: Geometry 1. Area 2. Volume Calculate area using apothem Calculate volume using apothem 3. Inductive Reasoning Introduction and investigating to proofs using inductive reasoning 4. Deductive Reasoning 5. Distance 6. Mid-Point 7. Angle Bisector. Angle Addition Introduction and investigating to proofs using deductive reasoning Relate distance formula to Pythagorean theorem and use formula to find distance of line segments on a coordinate plane Find end points and midpoint of a line segments using midpoint theorem Use and understand Angle Bisector Theorem Use and understand Angle Addition Theorem 9. Segment Addition Use and understand Angle Addition Theorem Observation of Patterns in Nature Video Protractors Compasses Tan grams Graphing 10. Triangle Similarity Apply AA Theorem Apply SSS Theorem Apply SAS Theorem

3 11. Triangle Congruence Apply SSS Theorem Apply SAS Theorem Apply HL Theorem 12. Geometric Mean Compute 13. Investigate Similar Figures Calculate perimeter of Similar figures Calculate area of Similar figures Calculate Volume of Similar figures Observation of Patterns in Nature Video Protractors Compasses Tan grams Graphing

4 STRAND: Fractions 1. Ratios and Rates Using Variables Converting Rates Understanding Slope as a Rate Direct Variation 2. Rational Expressions Simplifying with Polynomials Adding Rational Expressions with Polynomials Subtracting Rational Expressions with Polynomials Multiplying Rational Expressions with Polynomials Dividing Rational Expressions with Polynomials 3. Rational Equations Simplifying with Polynomials Adding Rational Expressions with Polynomials Subtracting Rational Equations with Polynomials Multiplying Rational Equations with Polynomials Dividing Rational Equations with Polynomials 4. Fractional Exponents Introduction to use of fraction exponents to indicate roots Simplify Expressions with fraction Exponents Rationalize denominators Observation of Patterns in Nature Video

5 STRAND: Money 1. Interest Problems Solve Compound Interest Word Problems 2. Mixture Problems Solve Word Problems Involving Mixtures Using Systems of Equations Observation of Patterns in Nature Video Protractors Compasses Tan grams Graphing

6 SUBJECT: STRAND: Measurement Mathematics Advanced Algebra 1. Find Distance Use Pythagorean Theorem to find Hypotenuse and sides of right Triangles 2. Estimate Distance 3. Chemistry 4. Physics Use Proportions to estimate and find distances Use Scientific Notation to solve equations involving amount of a substance Solve Newtonian physics problems for height and distance Observation of Patterns in Nature Video Protractors Graphing

7 SUBJECT: STRAND: Addition Mathematics Advanced Algebra 1. Matrices Add Matrices 2. Closure Understand Law of Closure apply to number systems 3. Rational Expressions Add Rational Expressions with polynomial and unlike denominators 4. Rational Equations Solve Equations involving addition of Rational Expressions with polynomial and unlike denominators

8 STRAND: Subtraction 5. Matrices Subtract Matrices 6. Rational Expressions Subtract Rational Expressions with polynomial and unlike denominators 7. Rational Equations Solve Equations involving Subtraction of Rational Expressions with polynomial and unlike denominators

9 STRAND: Multiplication 1. Binomials Multiply Binomials using distributive method Multiply Binomials using Foil Method Multiply Binomials using special patterns: perfect Square and difference between two Squares Introduce Binomial Expansion Theorem 2. Trinomials Multiply Trinomials using distributive method Multiply Trinomials using special patterns 3. Polynomials Multiply Polynomials using distributive method

10 SUBJECT: Mathematics Advance Algebra STRAND: Division 1. Factoring Factor Polynomials using guess and check method Factor Polynomials using X method 2. Long Division Use long division to divide rational expressions 3. Synthetic Division Introduce synthetic division to find roots 4. Rational Root Theorem Introduce Rational Root Theorem

11 STRAND: Problem Solving 1. Critical Thinking Word Problem Applications: Distance Rate Time with Head Winds, Currents; Interest- Compounded, Mixture and Solutions, Quadratics- Physics applications

12 STRAND: Number Theory 1. Number Groups Introduce Imaginary Introduce Complex

13 STRAND: Graphs 1. Graph Linear Equations Use slope intercept form Use intercept method Use table method Investigate all forms of a linear equation: standard, point slope, and intercept 2. Graph Linear Inequalities Use slope intercept form Use intercept method Use table method Investigate all forms of a linear inequalities: standard, point slope, and intercept 3. Graph Absolute Value Equations On a number line On a coordinate plane Vertex form 4. Graph Absolute Value Inequalities Use slope intercept form Use intercept method Use table method Investigate all forms of a linear equation: standard, point slope, and intercept 5. Graph Parabolic Equations Standard Form Vertex Form Axis of Symmetry Intercepts and Solutions 6. Graph Parabolic Inequalities Standard Form Vertex Form Axis of Symmetry Graph Paper Magazines Charts

14 Intercepts and Solutions 7. Relation Functions Domain And Range Correlations- Negative and Positive

15 STRAND: Place Value Use of Negative Exponents to Represent Place Value Graph Paper Magazines Charts

16 STRAND: Properties 1. Explore Reflexive Property 2. Explore Symmetric 3. Explore Transitive Property Graph Paper Magazines Charts

17 STRAND: Place Value Use of Negative Exponents to Represent Place Value Graph Paper Magazines Charts

18 STRAND: Probability 1. Central Tendency 2. Measure of Variation 3. Evaluating Compound Events 4. Finding Odds Graph Paper Magazines Charts Spinners Number cubes and coins

19 STRAND: Algebra 1. Solve Systems of Equations Using Matrices 2. Investigate Forms of a line: Point- Slope, Standard Form, and Standard 3. Manipulate Composite Functions 4. Investigate joint variation 5. Evaluate successive discounts, percent change 6. Factor Cubes 7. Evaluate Escape velocity. Use distance formulas 9. Solve Radical Equations 10. Use critical thinking problem solving strategies Graph Paper

20 STRAND: Properties 4. Explore Reflexive Property 5. Explore Symmetric 6. Explore Transitive Property Graph Paper Magazines Charts

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