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1 1 of 9 8/27/ :15 AM Units: Teacher: IntrotoAlgebra, CORE Course: IntrotoAlgebra Year: Integers Expressions and Variables Powers and Operations Scientific Notation Order of Operations What is a variable expression? What does a power mean? What does scientific notation look like? How can I remember Order of Operations? C - Use the order of evaluate numerical B - Represent and equivalent forms (e.g., exponents, scientific notation, square roots, C - Use the order of evaluate numerical Expressions and Variables Powers and Operations Scientific Notation Order of Operations -evaluate variable -write variable -use powers to describe repeated multiplication -evaluate a power -convert between scientific notation and standard form -order numbers in scientific notation -multiply numbers in scientific notation - use order of evaluate numerical expression variable variable expression evaluate verbal model power base exponent scientific notation order of Substitute numbers for Solve variable Write from verbal models Write and solve from word problems Write powers from repeated multiplication Recognize the job of an exponent Solve powers Recognize and convert between Scientific Notation and Standard Form Recognize order of Apply order of numerical expression Intro to Algebra Textbook Substitute numbers for Solve variable Write from verbal models Write and solve from word problems Write powers from repeated multiplication Recognize the job of an exponent Solve powers Recognize and convert between scientific noation and standard form 8/31/2013 Recognize order of Apply order of numerical Integers Comparing and Ordering Integers and Rational Numbers Integer Operations Decimal and Fraction Operations Properties (Commutative, Associative, and Identity) Distributive Property Simpllifying Variable Expressions What are rational numbers? Can I apply the rules of? How do I convert decimals, fractions and percents? Can I differentiate and apply the Properties of Multiplication and Addition? What is a variable expression? D - Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, mixed numbers, and/or A - and compare values of, mixed numbers, fractions, and decimals B - Add, subtract, multiply, and divide whole numbers, decimals, fractions, mixed numbers, or A - Use the concept of equality to demonstrate understanding of properties applied to rational numbers (e.g. identity, distributive, associative, commutative). Comparing and Ordering Integers and Rational Numbers Properties (Commutative, Associative, and Identity) Distributive Property Simpllifying Variable Expressions compare and order Integer Operations add, subtract, multiply, and Decimal and divide, Fraction decimals and Operations fractions without calculator recognize and use the commutative, associative, and identity properties of addition and multiplication simplify using the distributive property simplify variable by absolute value oppposite additive inverse multiplicative identity additive identity term coefficient absolute value and opposites of Compare Use a number line to order Add positive and negative. Subtract positive and negative Apply the rules for multiplying Apply the rules for dividing Add and subtract decimals Multiply with decimals Divide with decimals in the numerator and the denominator Add and subtract fractions with like denominators Add and subtract fractions with unlike denominators Recognize and use the commutitive properties of addition Intro to Algebra Textbook absolute value and opposites of Compare Use a number line to order Add positive and negative Subtract positive and negative Apply the rules for multiplying Apply the rules for dividing Add and subtract decimals 9/30/2013

2 2 of 9 8/27/ :15 AM A - and compare values of and rational numbers B - Add, subtract, multiply, and divide different kinds and forms of rational numbers including, decimal fractions, percents, and proper and improper fractions A - Use the concept of equality to demonstrate understanding of the inverse properties of numbers and the addition and multiplication properties of equality. combining like terms constant like terms and multiplication to solve and simplify Recognize and use the associative properties of addition and multiplication to solve and simplify Identify the multiplicative and additive identities Apply the identity properties of addition and multiplication to solve and simplify Identify and use the distributive property to simplify Identify terms, like tems, coefficients, and constants Combine like terms to simplify variable Multiply with decimals Divide with decimals inthe numerator and the denominator Add and subtract fractions with like denominators Add and subtract fractions with unlike denominators Recognize and use the commutative properties of addition and multiplication to solve and simplify Recognize and use the associative properties of addition and multiplication to solve and simplify Identify the multiplicative and additive identities Apply the identity properties of addition and multiplication to solve and simplify Apply the identity properties of addition and multiplication to solve and simplify Identify terms, like terms, coefficients, and constants Combine like terms to simplify variable Equations and Inequalities One step Two step Equations with like terms and parentheses What steps do I take to solve one, two and multiple step? One step Two step Equations with like terms and parentheses solve a one-step using inverse solve a two-step using inverse solve with like terms and parentheses using inverse solution inverse equivalent Differentiate between an expression and an Use inverse solve addition and subtraction one step Use inverse solve multiplication and division one step Use inverse so solve two-step Use knowledge of simplifying, the distributive property and inverse solve multi-step Intro to Algebra Textbook Differentiate between and an Use inverse solve addition and subtraction one step Use inverse solve multiplication and division one-step 9/30/2013 Use inverse solve two-step Use knoledge of simplifying, the distributive propertiy and

3 3 of 9 8/27/ :15 AM inverse to solve multi-step Rational Numbers and Proportions Ratio and Rates Writing and Solving Proportions Solving Proportions Using Cross Products Similar Figures Scale s How do I write ratios? How will I compare ratios? What do I do with a proportion? How do I apply propotions to similar? C - Use ratio and proportion to model relationships between quantities F - Understand the concepts of ratio, proportion, percents, and rates to determine unknown quantities in A - Compute measures of sides and using proportions, the Pythagorean Theorem, and right triangle relationships A - Compute measures of sides and using proportions, the Pythagorean Theorem, and right triangle relationships C - Use ratio and proportion to model relationships between quantities. Ratio and Rates Writing and Solving Proportions Solving Proportions Using Cross Products Similar Figures Scale s write the ratio of two quantities write and use unit rates write and use a proportion to solve a problem solve a proportion solve propotions using cross products identify similar and congruent recognize corresponding sides and of similar ratio rate proportion cross product similar congruent corresponding scale scale factor scale model scale drawing scale factor of similar missing measurement given similar use proportions to find missing measurements in a scale drawing or model Write two quantitites as a ratio Write and identify the purpose of unit rate Write and solve proportions from real life situtations Solve proportions algebraically Use cross products to solve proportions Identify similar Understand congruency of Identify corresponding sides of Identify corresponding of scale of drawings and models Use the scale of drawings and models to find missing measurements of similar Use proportions to missing measuremnts in s scale drawing or model Intro to Algebra Textbook Write two quantities as a ratio Write and identify the purpose of unit rate Write and solve proportions from real-life situations Solve proportions algebraically Use cross products to solve proportions Identify similiar Understand the congruency of Identify corresponding sides of Identify corresponding of scale of drawings and models 10/31/2013 Use the scale of drawings and models to find missing measurements of similiar Use proportions to find the missing measurements in a scale drawing or model Equations Equations with on both sides Solve one and two-step What steps do I take to solve with on both sides? How will I solve and graph an inequality? Equations with on both sides Solving one and two-step solve with on both sides using inverse solve and graph one and two-step using inverse inequality graph of inequality (open and closed) Use inverse solve with varables on both sides Solve one and two step addition and subtraction inequalitites using inverse Recognize the meaning of each inequality symbol Differentiate between an open and closed inequality Graph the solutions to addition and subtraction ineqaulities Intro to Algebra Textbook Use inverse solve with 10/31/2013 on both sides Solve one and two step additiona dn subtraction inequalitites using inverse Recognize the meaning of each inequlality symbol Checking solutions to Solve one and two step multiplication and division focusing on reversal of the inequality sign. Graph the solutions to multiplication and division Differentiate between an open and closed inequality Graph the solutions to assition and subtraction

4 4 of 9 8/27/ :15 AM Solve real word inequality problems and graph solutions Check the solutions to Solve one and two step multiplication and division focusing on reversale of the inequality sign Graph the solutions to multiplication and division inequaltities Solve real world inequality problems and graph solutions Rational Numbers, Percents Convert fractions, decimals, and percents Percent proportion Percent of change Percent Applications Simple Interest How do I convert fractions, decimals and percents? What do I use percent for? B - Represent and Convert fractions, equivalent forms (e.g. decimals, and percents exponents, powers, roots, A - and compare values of and rational numbers B - Represent and equivalent forms (e.g., exponents, scientific notation, square roots, Percent proportion Percent of change Percent Applications Simple Interest convert between fractions, decimals, and percents use the percent proportion to solve problems find percent of increase or decrease find markups, discounts, sales tax, and tips calculate interest earned or paid on balance percent proportion percent proportion percent of change increase decrease markup discount tax interest Understand the need for equivalent forms of rational numbers Convert between decimals and percents and vice versa Change fractions to decimal form Change decimals to fraction form Change fractions to percents Change percents to fractions and simplify Use the percent proportion to find the part of a base Use the percent proportion to find percent Use the percent proportion to find a base Use the percent proportion to solve real world problems Calculate the percent of increase Calculate the percent of decrease Use proportions to find retail price Use proportions to find sale price Use proportions to find sales tax Use proportions to find tips Use proportions to find an original amount Use the simple interest formula to calculate interest earned Use the simple interest formula to calculate interest to be paid on a balance Intro to Algebra Textbook Convert between fractions, decimals, and 11/30/2013 percents USe the percent proportion to solve problems percent of increase and decrease markups, discounts, sales, tax, and tips Calculate interest earned or paid on balance Data Analysis and Probability Probability and Odds (Theoretical and Experimental) Counting Principal Permutations and Combinations (basics) Independent and Dependent Events Review mean, median, and mode What does probability mean? What is the difference between odds and probability? Can I make C - Express the probability of a compound or complimentary as a fraction, decimal, or percent D - List the possible outcomes for two or more independent s and Probability and Odds (theoretical and experimental) theoretical probability of an experimental outcomes favorable outcomes probability theoretical probability experimental probability Differentiate between s, outcomes and favorable outcomes theoretical probability of an experimental probability of an Intro to Algebra Textbook theoretical probability of an experimental probability of an 12/31/2013

5 5 of 9 8/27/ :15 AM predictions based on compare the outcomes. probability? E - Find and interpret the experimental or theoretical probability of an outcome of a simple A - Calculate the probability of an involving and, or or not C - Determine the number of combinations and permutations for an E - experimental or theoretical probability of the outcomes of a simple or compound. Counting Principal Permutations and Combinations (basics) use combinations to count Independent and possibilities Dependent Events Review mean, median, and mode probability of an find odds in odds in favor favor and odds odds against against an tree diagram use the counting principle counting principle to find probabilities permutation n factorial use permutations to count possibilities probability of an independent probability of dependent mean of a data set median of a data set mode of a data set independent dependent mean median mode Differentiate betewen theoretical probability and experimental probability Differentiate between probability and odds odds in favor of an odds against an Use a tree diagram to all possible outcomes for s Use the counting principal to find all the possible outcomes for s Use permutations to count possibilities Use Combinations to count possibilitites Differentiate between an independent and dependent probability of an independent probability of a dependent mean of data median of data mode of data range of data mean, median, mode and range of real life data. odds in favor and against an Use the counting principle to find probability Use permuations to count possibilities Use combinations to count possibilities proabability of an independent and dependent mean, median, and mode of data set. Data Analysis Stem-and-leaf plots and histograms Box-and-Whisker Plots with outliers Choosing Data Displays Interpreting Data /Graphs Can I interpret data displays? How do I know which data display to use? B - Organize and display data using an appropriate data display, such as circle graphs, histograms, line graphs, double bar graphs, and stem and- leaf plots, Venn diagrams, tables, and charts C - Use numerical summaries to describe different sets of data D - Use measures of central tendency and spread to compare data sets E - Interpret trends and make predictions based on data displayed in a graph B - Organize and display one-variable data using appropriate data display, such as stem and- leaf and box-and whisker plots, and two variable data with scatter plots C - Calculate quartiles for one-variable data and describe the correlation coefficient for two-variable data displayed in a scatter plot D - Compare data sets graphically using double-bar and double line graphs and numerically using mean, median, mode, range, and quartiles. Stem-and-leaf plots and histograms Box-and-Whisker Plots with outliers Choosing Data Displays Interpreting Data /Graphs make histograms make stem and leaf plots make a box and whisker plot interpret a box and whisker plot choose appropriate displays for specific data sets make conclusions about populations using surveys stem and leaf plot frequency frequency table histogram box and whiskerk kplot lower quartile upper quartile lower extreme upper extreme interquartile range outlier categorical data numerical data population sample margin of error Read a stem and leaf plot Read frequency tables and histograms Create a stem and leaf plot from data Create a frequency table from data Use a frequency table to create a histogram Identify the lower and upper quartile Identify the lower and upper extreme Identify the interquartile range Create a box and whisker plot Differentiate between categorical data and numerical data Decide which data displays best fit specific data sets Decide which data displays best fit real life data Understand the different kinds of samples Use survey results to make conclusions about populations Understand and identify margin of error during the data analysis process Intro to Algebra Textbook Make histograms, stem-and-leaf, and 1/31/2014 box-and-whiskers Choose the appropriate displays for specific data sets Make conclusions about population using surveys E - Determine the effect of extreme values on numerical summaries and calculate estimates based on survey results or graphs.

6 6 of 9 8/27/ :15 AM Geometry Angle relationships Angles and parallel lines Angles and polygons Can I identify different shapes? How can you measure of in relation to each other? A - Name, describe and apply geometric relations for 1- dimensional shapes and 2- dimensional shapes and 3- dimensional solids. Angle relationships Angles and parallel lines Angles and polygons classify special pairs of identify when a transversal intersects two lines identify angle relationships when a transversal intersects two parallel lines complementary supplementary vertical transversal corresponding alternate interior alternate exterior interior angle exterior angle Classify special pairs of Find missing angle measures when given special pairs of Identify transversals and corresponding, alternate interior, alternate exterior Recognize the the pairs of that are formed that have equal measures when a transversal intersects two parallel lines Find missing angle measures when a transversal intersects two parallel lines Intro to Algebra Textbook Classify special pairs of Identify when a transversal intersects two lines, including when parallel measures of interior and exterior of polygons 1/31/2014 Find measures of interior and exterior of polygons sum of interior of a convex polygons measure of one interior angle of a convex polygon measure of an exterior angle of a convex polygon measure of an exterior angle of a regular polygon Use the sum of the measure of exterior to find a missing exterior angle Geometry Square Roots Simplifying Square Roots Pythagorean Theorem Tri (types, measure of interior and exterior, triangle inequality) Polygons (classifying, measure of interior ) Area of Parallelograms and Trapezoids Circumference and Area of a Circle Surface Area and Volume of prisms, cylinders, pyramids, and cones What is a square root? Are there different ways to find square roots of non perfect squares? What is the Pythagorean Theorem? How can I differentiate between different types of polygons? What is the difference between surface area and volume? What formulas will I need to find out measurements for different shapes? B - Represent and equivalent forms (e.g. exponents, powers, roots, A - Identify, define, label, and/or describe properties of 1-, 2-, and 3-dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties A - Compute Pythagorean measures of sides and Theorem using proportions, the Pythagorean Theorem, and right triangle relationships C - Use measurement formulas to calculate volume, area, and perimeter and to calculate circumference and area of circles B - Represent and equivalent forms (e.g., exponents, scientific notation, square roots, A - Name, describe and apply geometric relations for 1- dimensional shapes and 2- dimensional shapes and 3- dimensional solids A - Compute measures of sides and using proportions, the Pythagorean Theorem, and right Square Roots Simplifying Square Roots Tri (types, measure of interior and triangle inequality) Polygons (classifying, measure of interior ) square root square root of perfect square a perfect quadratic square solution approximate radical the square root of a non perfect square number solution of a simple quadratic simplify a radical expression missing side measure of a right triangle determine if a triangle is a right triangle given the measures of the three sides missing angle in a given triangle measure of one interior angle of a regular triangle classify a triangle by its given side and/or angle measures determine the possibilites for the thrid of a triangle given the other two sides right triangle legs hypotenuse otuse acute scalene isosceles equilateral equiangular interior angle polygon regular polygon quardrialeral convex concave positive and negative square roots of a number Approximate square roots of non perfect squares to the nearest integer Appoximate square roots of non perfect squares with a calculator Identify both solutions to a simple quadratic Evaluate a radical expression Factor using greatest perfect square factor Apply the Product Property of Square Roots to simplify radical expression Apply the Quotient Property of Square Roots to simplify radical Identify the pieces of right tri Use the Pythagorean Theorem to length of the hypotenuse Use the Pythagorean Theorem to length of a leg Apply the Pythagorean Theorem to tri to determine if they are right tri Classify tri by angle measure and side lengths Find missing in a given triangle Find angle measures of tira using a ratio Identify and classify polygons Classify quadrilaterals Intro to Algebra Textbook Square roots Simplifying square roots Pythagorean Theorem Tri (Types, measure of interior and triangle inequality) Polygons (classifying, measures of interior ) Area of parallelograms and trapezoids Circumference and area of circle Surface area and volume of prisms, cylinders, pyramids, and cones 2/28/2014

7 7 of 9 8/27/ :15 AM triangle relationships C - Calculate volume, surface area, and degrees of ; calculate circumference and area of circles, and use a measurement formula to solve for a missing quantity F - Understand the concepts of exponents and roots and use the inverse relationships between exponents and roots to determine unknown quantities in. Area of Parallelograms and Trapezoids Circumference and Area of a Circle determine whether a shape is a polygon determine whether a polygon is convex or concave classify a polygon missing angle measure of a given quadrilateral including variable pentagon hexagon heptagon octagon trapezoid parallelogram rhombus rectangle square base of a parallelogram height of a prallelogram bases of a trapezoid height of a trapezoid area of a parallelogram circle area center trapezoid radius area of diameter a compound circumference figure Find an unknow angle measure of a given quadrilateral including variable Use the formula to find area of a parallelogram Use the formula to find area of a trapezoid total area of compound from verbal and visual models radius and diameter of ciricles Use the formula to circumference of a circle Use the formula to area of a circle Classify solids and count the faces, bases, vertices, and edges Use the formula to surface area of prisms Use the formula to surface are of cylinders Surface Area and Volume of prisms, cylinders, pyramids, and cones circumference of a circle area of a circle radius of a circle given the area radius of a circle given the circumference surface area of prisms, cylinders, cones and pyramids volume of prisms, cylinders, cones and pyramids surface area net lateral face of a prims lateral survace of a cylinder lateral area of a cylinder diagonal of a polygon Use the formula to suface area of pyramids Use the formula to surface area of cones Use the correct formula to volume of prisms Use the correct formula to volume of cylinders Use the correct formula to volume of pyramids Use the correct formula to volume of cones Use the correct formulas to find the volume of solids Graph Equations and Inequalities Relations and Functions Graph using t-chart, slope-intercept, and x/y intercept Slope X and Y intercepts Write of line given the y-intercept Graph in two What are relations and functions? How can I graph a function? How can I use slope? How can I tell if an ordered pair is a solution? C - Recognize, describe, extend, create, replicate, form a rule, and/or find a missing element for a variety of rational number patterns, sequences, and relationships verbally, numerically, symbolically, and graphically D - Determine a functional rule from given data or a situation E - Use combinations of symbols and numbers to create,, and in one variable that model problem situations F - Interpret the results of solving in one variable in the context of the situation that Relations and Functions Graph using t-chart Define a relation relation domain Define a range function input Identify domain output Identify range function Determine vertical line test whether a relation is a function Represents a relation using a graph, ordered pairs, or mapping diagram Use the vertical line test to determine if a relation is a function solution linear Use a T-chart function form to list possibile t-chart solutions to a linear Identify ordered pairs from the chart to graph the line Determine whether an ordered pair is Identify and represent relations Identify and differentiate between domain and range as well as input and output. Represent a relation by using a graph and/or a mapping diagram. Identify which relations are functions by using ordered pairs, a mapping diagram or the vertical line test. Determine if an ordered pair is a solution of an with in two Use a T chart to list possible solutions to linear Selected ordered pairs from the T chart to graph the line of the Solve for y to write linear in function form intercepts of a linear by substituting zeros for x and then for y Plot the x intercept and the y interecept and connect them to graph a linear Intro to Algebra Textbook Relations and functions Graph using t-chart Graph using x/y intercepts Slope Graph using slope intercept form Write of the line given the y-intercept Function notation Graph inequalitites in two 3/31/2014

8 8 of 9 8/27/ :15 AM motivated the model C - missing elements and recognize, describe, and extend patterns to include linear, exponential, and simple quadratic D - Create a table or graph from a functional rule E - Use combinations of symbols and numbers to create and in one or two, and in one variable that model problem situations F - Interpret the results of solving in one or two and in one variable in the context of the situation that motivated the model. Graph using x/y intercepts Slope Graph using slope intercept form Write of line given the y-intercept a solution to the linear Write the linear in function form intercept x-intercept x and y-intercept y intercepts of a given linear Use the x and y intercepts to graph the linear slope of a graphed line slope between two given points Compare two slopes Identify positive and negative slopes Determine by slope whether the line is horizontal or vertical Rewrite the given equaiton in slope intercept form Indentify the slope and y intercept from the Graph the using the slope intercept form slope rise run undefined slope intercept form best fitting line Use rise over run to slope of a line Compare the slopes of different lines Identify positive, negative, zero, and undefined slope Interpret slope as a rate of change Rewrite given in slopeintercept form Graph in slope-intercept form Write the of a line by finding the slope (from two points) and the y intercept Evaluate a function at a given value Write a linear function that satisfies the given conditions by utilizing slope and the y-intercept of the boundary line by replacing the inequality sympol with = to graph linear ineqalitities Use test points to shade the correct half-plane of a linear inequality with two Function Notation Graph in two Write the of a line given slope or two points and the y-intercept Evaluate a function at a given value. Write a linear function that satisfies the given conditions Graph a linear inequality in two. function notation linear inequality solution of a linear inequality in two half-plane Exponent Rules Product and quotient theorems Negative and zero exponents Power theorems Content Skills Vocabulary What are the Product and Quotient Theorems? How do I work with negative and zero exponents? B - Represent and equivalent forms (e.g.,, fractions, decimals, percents, exponents, scientific notation, square roots, D - Extend place value concepts to represent large numbers using Negative and exponential, Zero exponents scientific, and calculator notation D - Use exponential, scientific, and calculator notation to represent any rational number B - Evaluate and and Product of Powers Property Quotient of Powers Property Power theorem Simplify and/or evaluate using the prodouct theorem Simplify and/or evaluate using the quotient theorem Simplify and/or evaluate involving negative and zero exponents Simplify using the power theorem product exponent base quotient Identify and utilize the Products of Powers Property Identify and utilize the Quotient of Powers Property Use both properties of powers to simplify Identify the zero exponents rule Write using only positive exponents Rewrite fractions without the fractions bar Use the powers properties with negative exponents Solve real life problems involving negative exponents Intro to Algebra Textbook Product of powers property Quotient of powers property Negative and Zero exponents Power theorem 4/30/2014

9 9 of 9 8/27/ :15 AM solve and graph linear, quadratic, exponential, and logarithmic and, and solve and graph systems of and Polynomials Classify and write polynomials in standard form Add and subtract polynomials Content Skills Vocabulary What is a polynomial? B - Evaluate and and solve and graph linear Classify and write polynomials in standard form Add and subtract polynomials classify polynomials write polynomials in standard form add and subtract polynomials polynomial term binomial trinomial degree of a term degree of a polynomial standard form opposite like terms Classify polynomials by the number of terms Write polynomials in standard form Add polynomials verticallly Add polynomials horizontally Subtract polynomials vertically Subtract polynomials horizontally Intro to Algebra Textbook Classify and write polynomials in standard form Add and Subtract Polynomials 4/30/2014 Polynomials Multiply monomials and polynomials Multiply binomials Multiply binomial times a trinomial Can I multiply monomials, polynomials and binomials? A - and compare values of irrational and complex numbers. Multiply monomials and polynomials Multiply binomials Multiply binomial times a trinomial Multiply 2 monomial monomials binomial Multiply a trinomial monomial and a binomial Multiply monomials and polynomial Multiply 2 binomials Multiply a monomial and a binomial Multiply a monomial and a trinomial Dividing a polynomial by a monomial Intro to Algebra Textbook Multiply a monomial with a binomial Multiply a monomial with a trinomial Divide a polynomial by a monomial 5/31/2014 Multiply a binomial and a trinomial