Teacher: CORE Algebra Year: Essential Questions Content Skills Vocabulary Assessments

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1 Teacher: CORE Algebra Year: Course: Algebra Month: All Months S e p t e m b e r THE LANGUAGE OF ALGEBRA AND REAL NUMBERS Essential Questions Content Skills Vocabulary Assessments Algebraic Properties Order of Operations and Combining Like Terms Recognize the properties of identity and equality Recognize the commutative and associative property Use the commutative and associative properties to simplify additive identity multiplicative identity additive inverse multiplicative inverse associative property commutative property distributive property Evaluate numerical and algebraic by using order of operations order of operations like terms PEMDAS.org/htmlstandard/In Glencoe 1-4 Glencoe 1-6 Variables and Expressions Write mathematical for verbal??write verbal for mathematical variable verbal expression algebraic expression factors sum difference product quotient power Glencoe 1-1

2 base exponent evaluate Algebraic Equations Distinguish between an and an algebraic equation algebraic equation Real Numbers Find absolute values of rational numbers Organize rational numbers within an intersection of sets Organize rational numbers on a number line Real Numbers Rational Numbers Irrational Numbers Natural Numbers Whole Numbers Integers Number Line Absolute Value Square roots Union and Intersection of Sets Find the intersection of sets Draw a venn diagram set union intersection Venn Diagram

3 SOLVING LINEAR EQUATIONS Essential Questions Content Skills Vocabulary Assessments Lessons Resources Solving Multi- Step Linear Equations Literal Equations Solve involving more than one operation Solve with variable on each side Solve involving grouping symbols Translate verbal sentences into literal Solve literal Solve formulas for given variable equivalent solve an equation multi-step Glencoe 3-4 Glencoe 3-8 Ratios and Proportions Determine whether two ratio proportion.org.org

4 ratios form a proportion Solve proportions Calculate rates rate scale Percent Change Find percent percents change of increase increase decrease and decrease Solve problems involving percents Discount Solve problems involving discount and tax.org/htmlstandard/integrated Glencoe 3-7.org/htmlstandard/Integrated Glencoe 3-7 Direct Variation Solve problems involving direct variation direct variation

5 O c t o b e r GRAPHING RELATIONS AND FUNCTIONS Essential Questions Content Skills Vocabulary Assessments Describe how coordinate points are related to given functions. Explain how to graph a linear equation. What is a function? Graphing Linear Equations Functions Coordinate Plane Solve for y Graph Linear Equations Use a graphing calculator to graph linear Determine whether a point is on a line Determine whether an equation is linear Determine if a graph is a function Graph absolute value functions Identify Quadrants Locate points on Coordinate Plane Graph points on a coordinate plane linear equation function absolute value ordered pairs vertical line test Quadrant Coordinate plane Glencoe 4-5 Glencoe 4-6 N o v ANALYZING LINEAR EQUATIONS

6 e m b e r Essential Questions Content Skills Vocabulary Assessments Lessons Resources Slope Find the slope of a line Find the rate of change between independent and dependent variables slope rate of change dependent variable independent variable Glencoe 5-1 Slope- Intercept Form Write and slope-intercept graph linear form in slope-intercept form Determine the slope of a line, given its equation Glencoe 5-3 Point-Slope Form Write the equation of a line in pointslope form point-slope form Glencoe 5-5

7 Parallel Lines Write an equation of a line parallel to the x- or y- axis Determine if lines are parallel, given their parallel lines slope of parallel lines Scatter Plots Writet an and Lines of equation scatter plot line of fit Best Fit of a line of best fit line best fit from linear a given a interpolation scatter plot. Glencoe 5-6.org/htmlstan.org/htmlstan Glencoe 5-7 LINEAR INEQUALITIES Essential Questions Content Skills Vocabulary Assessments Lessons Resources Solving Inequalities Solve linear linear inequalities by inequality using addition compound and inequality subtraction set builder???solve notation linear interval inequalities by notation using roster form multiplication and division Solve linear inequalities involving more than one operation Glencoe 6-1 Glencoe 6-2 Glencoe 6-3 Glencoe 6-4

8 Solve linear inequalities involving the distributive property Determine if elements of an inequality are included in a set Modeling Inequalities Solve realworld problems involving linear inequalities algebraic inequality Graphing Inequalities Graph linear inequalities on the coordinate Glencoe 6-6

9 D e c e m b e r plane. SOLVING SYSTEMS OF EQUATIONS AND LINEAR INEQUALITIES Essential Questions Content Skills Vocabulary Assessments Lessons Resources Graphing Systems of Equations Solving Systems of Linear Equations Algebraically Determine graph whether system of system of linear linear has x-axis 0, 1, or y-axis infintely many solutions Solve a system of by graphing Solve systems substitution of elimination and real-world problems using substitution Solving systems of using elimination with addition and subtraction Solving systems of using elimination with multiplication Determine the best method for solving systems of Glencoe 7-1 Glencoe 7-2 Glencoe 7-3 Glencoe 7-4 Graphing Solve systems system of

10 Systems of Linear Inequalities of inequalities linear and real-world inequalities problems by graphing Glencoe 7-5 J a n u a r y POLYNOMIALS Essential Questions Content Skills Vocabulary Assessments Lessons Resources Multiplying and Dividing Monomials Multiply monomial with a common base, using properties of exponents Divide monomial with a common base, using the properties of exponents Simplify involving the quotient of monomials Simplify monomial constant exponent integral exponent zero exponent negative exponent common base properties of exponents Glencoe 8-1 Glencoe 8-2

11 Scientific Notation Adding and Subtracting Polynomials containing negative exponents Express scientific numbers in notation scientific notation and standard notation Find products and quotients of numbers expressed in scientific notation Add polynomials Subtract polynomials polynomial binomial trinomial.org/htmlstandard/ Glencoe 8-3 Glencoe 8-4 Glencoe 8-5 Multiplying Polynomials Find the perfect product of a squares monomial and product a polynomial Solve involving polynomials (Review) Find the product of two binomials Find the product of two polynomials Find the difference of two perfect squares Glencoe 8-6

12 F e b r u a r y FACTORING Essential Questions Content Skills Vocabulary Assessments Lessons Resources Factors and Greatest Common Factors Find the greatest common factors of integers and monomials Factor polynomials by using distributive property prime number composite number factor GCF Glencoe 9-1 Glencoe 9-2 Factoring Trinomials Factor trinomials of the form x^2 + bx +c Solve with factoring Glencoe 9-4

13 Factoring Difference of two Perfect Squares Factor difference of two perfect squares perfect squares Glencoe 9-6 M a r c h Review and Assessments QUADRATIC EQUATIONS AND EXPONENTIAL FUNCTIONS Essential Questions Content Skills Vocabulary Assessments Lessons Resources Graphing Quadractic Functions Graph quadratic functions Find the equation of axis of symmetry Find the coordinates of the vertex of a parabola parabola vertex axis of symmetry quadratic equation maximum minimum Graphing Quadratic Functions Vertex and Axis of Symmetry Learning Map Glencoe

14 Explore Quadratic Graphs State how coefficient changing coefficients affect its graph Understand how to use the graphing calculator to explore Exploring Quadratic Equations Glencoe Activity Solving Quadratic Equations by Graphing Solve quadratic by graphing roots zeros Solving Quadratics By Graphing Methods for Glencoe 10-2

15 Find the roots of a parabolic function by examining the graph Solving Quadratics Exponential Functions: Growth and Decay Quadratic Formula Graph exponential functions Solve problems involving Solve quadratic Quadratic formula by using the quadratic formula exponential function exponential decay exponential growth Exponential Functions Exponential Growth and Decay Glencoe 10-5 a

16 Systems of Linear and Quadratic Equations exponential growth (make sure students memorize formula) Solve problems involving exponential decay (make sure student memorize formula) Solve system of linear and quadratic graphically (Gr 8) Activity Glencoe Activity - Solve system of linear and quadratic Graphing Linear and Quadratics Functions Review and Assessments RADICAL EXPRESSIONS AND TRIANGLES Essential Content Skills Vocabulary AssessmentsLessons Resources Questions Simplifying Radical Expressions Simplify radical radical expression radicand Simplify Radical Expressions Glencoe 11-1.org/htmlstandard

17 Recognize a b form Operations Add, with Radical Subtract, Expressions Multiply & Divide Radical Expressions rationalizing the denomiator conjugate Add and Subtract Radical Expressions Multiply Radical Expressions Quotient of Radical Expressions Glencoe 11-2.org/htmlstandard/ Pythagorean Theorem Find the length of the third side of a right triangle given two other sides Recognize pythagorean triples hypotenuse legs Pythagorean triple corollary Pythagorean Theorem Glencoe 11-4 Trigonometric Ratios Determine trigonometric ratios given the length of the sides of a triangle Determine the measure of an angle of a right triangle, given two sides Determine the measure of a side of a right triangle, given trionometric ratios sine cosine tangent angle of elevation angle of depression Trig Ratios Trig Day 2 Trig Day 3 Trig Review Activity (Gr 8) Trigonometry Review (Gr 8) Trig Card Game Glencoe 11-7

18 an angle and a side Recognize when to use trigonometry with right triangles Review and Assessments A p r i l PROBABILITY Essential Content Skills Vocabulary Assessments Lessons Resources Questions Counting Outcomes Determine Tree the number of elements in a sample space Determine the number of favorable events Determine the number of possible events Evaluate involving factorials Draw a tree diagram and use to count outcomes Diagram Sample Space Event Fundamental Counting Principle Factorial Tree Glencoe 14-1 Diagrams.org/htmlstandard/Int and.org/htmlstandard/int Counting.org/htmlstandard/Int Principle

19 Permutations Determine the Permutations number of possible arrangments of a list of items (permutations) Probability Glencoe 14-2 Day 2.org/htmlstandard/Inte Probability of Compound Events Calculate the probability of an event Probability Day 3 Glencoe 14-3.org/htmlstanda Empirical and Theoretical Probability Determine Independent if events are Events equally Dependent likely or Events more likely Mutually to occur Exclusive than Complement another Calculate the probability of a series of independent events Probability Day 4 Glencoe 14-5.org/htmlstand.org/htmlstand.org/htmlstand.org/htmlstand

20 GEOMETRY Essential Questions Review and Assessment Content Skills Vocabulary Assessments Lessons Resources Area and Perimeter Find the area of polygons, circles and sectors of a circle Find the perimeter of polygons, area permineter polygons circles sectors triangles rectangles squares Area and Perimeter.

21 circles and sectors of a circle parallelograms rhomuses trapezoids semi-circles quartercircles M a y STATISTICS Essential Questions Volume and Surface Area Calculate volume volume of surface area rectangular rectangular solids and solids cylinders cylinders Calculate surface area of rectangular solids and cylinders Surface Area and Volume Content Skills Vocabulary Assessments Lessons Resources Organization and Display of Data Categorize data as qualitative or quantitative State whether data is univariate or bivariate Justify orally or in writing if a sample is biased qualitative quantitative univariate bivariate biased Statistics Day 1.org/htmlstandard.org/htmlstandard.org/htmlstandard.org/htmlstandard.org/htmlstandard Glencoe

22 Analyze data given in tables and graphs Conclude is a graph is misleading Scatter Plots and Line of Best Fit Create a positive scatter plot relationship of bivariate negative data relationship Draw a line independent of best fit dependent for a scatter correlation plot causation Determine the equation for the line of best fit Use a line of best fit to make a prediction State the relationship between the Statistics Day 2.org/htmlstanda.org/htmlstanda.org/htmlstanda.org/htmlstanda.org/htmlstanda.org/htmlstanda Glencoe 13-3 Follow-Up Glencoe 5-7 Glencoe 5-7 Follow-Up

23 independent and dependent variable from a scatter plot Measures of Central Tendency Calculate mean, median and mode Justify in writing which measure of central tendency best describes the data Conclude if a data's mean, median, mode and range are mean median mode range central tendency Statistics Day 3.org/htmlstandard.org/htmlstandard Glencoe 13-4

24 effected by a linear transformation Find the range of a set of data Box-andwhisker Plot Construct a quartile box-andwhisker plot using the minimum, maximum, and 3 quartile values Analyze and interpret a box-andwhisker plot Statistics Day 4.org/htmlstand.org/htmlstand.org/htmlstand.org/htmlstand Glencoe 13-5 Glencoe 13-5 Follow-Up

25 Histogram and Cumulative Frequency Histogram Construct a histogram Construct a cumulative frequency histogram histogram cumulative histogram Statistics Day 5.org/htmlstan.org/htmlstan Glencoe 13-3 Review and

26 Assessments RATIONAL EXPRESSIONS AND EQUATIONS Essential Questions Content Skills Vocabulary Assessments Lessons Resources Rational Expressions Identify values that make an algebraic fraction undefined Simplify rational rational expression undefined Glencoe 12-2 Multiplying Rational Expressions Multiply rational Glencoe 12-3 Dividing Rational Expressions Divide rational Glencoe 12-4 Dividing Polynomials Divide a polynomial by Glencoe 12-5

27 a monomial and binomial Rational Expressions with Like Denominators Add and subtract rational with like denominators Glencoe 12-6 Rational Expressions with Unlike Denominators Add and subtract rational with unlike denominators least common multiple least common denominator Glencoe 12-7 Solving Rational Equations Solve rational rational Glencoe 12-9

28 Review and Assessments

NEW YORK ALGEBRA TABLE OF CONTENTS

NEW YORK ALGEBRA TABLE OF CONTENTS CHAPTER 1 NUMBER SENSE & OPERATIONS TOPIC A: Number Theory: Properties of Real Numbers {A.N.1} PART 1: Closure...1 PART 2: Commutative Property...2 PART 3: Associative