AIM HIGH SCHOOL Curriculum Map 29230 W. 12 Mile Road Farmington Hills, MI 48334 (248) 702-6922 www.aimhighschool.com COURSE TITLE: Algebra 1 PREREQUISITES: Pre-Algebra DESCRIPTION OF COURSE: Algebra 1 focuses on the operations associated with linear and quadratic equations. The course starts off with a review of basic algebraic concepts, such as variables, order of operations, exponents, and problem solving skills. By the end of this course students will have the knowledge necessary to solve and graph equations and inequalities. Students will also be able to apply this knowledge to other areas of math, such as word problems, ratios, and proportions. Paced Algebra 1 is another option for students who may need an additional year to complete the course curriculum. Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills.
CONTENT CORE CONCEPTS ASSESSMENTS Unit 1: : To be given Number Types daily on each introduced and Order of topic. Operations o Identify natural numbers, whole numbers, integers, rational numbers, and irrational numbers o Multiple forms of the same number o Define operations (Addition/subtraction, multiplication/division, and exponents/roots) o Addition (and subtraction) of each number type o Multiplication (and division) of each number type o Exponents (and roots) of each number type o Order of Operations o Grouping symbols o Verbal and Algebraic Expressions o Distributive property o Add like terms : Students will be expected to be prepared for class, participate in class activities and actively engage in class discussion. o History of Number Types Activity o Blind Expression Game o Crossword zes ALTERNATE ASSESSMENTS NATIONAL AND STATE STANDARDS N.RN.1-3 A.CED.1 A.CED.2 F.BF.2 Unit 2: Solve Two- Step Equations and Proportions o One step equations o Two step equations o Percentages, Proportions, and Unit Rate o Convert between a percentage, decimal, and fraction o Cross multiplication basic o Cross multiplication advanced o Setup and solve real life examples Rewrite equations and formulas o Modeling Equations with Balance Scale o Recipe and Business o Consumer Math A.CED.1, A.CED.2 A.CED.4 A.REI.2 A.REI.4 S.ID.2 S.CP.9
Unit 3: Solve more Advanced Equations Unit 4: Solve and Absolute Values Equations and Unit 5: Linear Functions and o Multi-step equations o Variables on both sides of the equation o Solve equations with fractional coefficients (Variables in denominator) o Solve equations with decimal coefficients o Translate sentences into equations and solve o Probability and Combinations o Mean, median, and mode o Rewrite equations and formulas o Solve linear inequalities by using addition or subtraction o Solve linear inequalities using multiplication or division o Solve linear inequalities involving more than one operation o Solve linear inequalities involving grouping symbols o Solve compound inequalities o Graph linear inequalities on the coordinate plane o Write equations and inequalities o Plot points in a coordinate plane o Graph linear equations by plotting points in a table o Write linear equations from a table (Arithmetic Sequence) o Model real world data with linear functions and inequalities. o Graph linear equations using y=mx+b o Graph linear equations using intercepts o Identify linear equations, intercepts, and slope o Model direct variation problems o Magic Math Tricks o ACT Practice o restaurant example o Distance o Margin of Error o Arithmetic Sequences o Cups Activity o Real-world Application Packet o Restaurant Catastrophe 7.EE.4a A.CED.1 A.CED.3, A.CED.4 A.REI.2, S.ID.2 S.CP.9 A.CED.3 A.CED.4 A.REI.3 A.CED.1-4 A.REI.3 0-12 F.BF.1 F.BF.2
Unit 6: Writing Linear Equations Unit 8: Systems of Equations and o Write linear equations in slopeintercept form o Model real world data with equations in slope intercept form. o Write an equation of a line given the slope and one point o Write the equation of a line in slope-intercept given two points o Write equations of lines passing through a given point and either parallel or perpendicular to a given line o Investigate relationships between quantities by using scatter plots o Use line of best fit to make and evaluate predictions o Evaluate absolute value equations o Determine the number of solutions a system of equations has, if any o Solve systems of linear equations by graphing o Solve systems of equations by using substitution o Solve systems of equations by using elimination o Determine the best method for solving systems of equations o Apply systems of equations to solve real-world problems o Matrix equations o Line of Best Fit Stats Activity o Trace the image Desmos Activity o Where graphs intersect? o Construction (Area, Perimeter, and Volume) o Cost Problems o Rate Problems N.Q.1 N.Q.2 N.Q.3 0 1 S.ID.6-8 N.Q.1 N.Q.2 A.REI.5-7 2
Unit 9: Exponents and Exponential Functions o Apply Exponent Properties involving products and quotients o Define and use zero and negative exponents o Write and graph exponential growth and decay functions o Simplify expressions in scientific notation o Use the Power Property of Equality to solve radical equations and check for extraneous solutions o Geometric Sequences o Futurama (Modeling Bank Accounts) o Dominos o Shrinking Dollar Application N.Q.3 N.RN.1 0-12 F.IF.1-7 F.BF.1-3 F.BF.A.2 A.SSE.1 A.SSE.2 BF.A.1.B Unit 10: Polynomials and Factoring Unit 11: Quadratic Equations o Identify polynomials by finding the degree and rewriting in standard form o Add and subtract polynomials by identifying like terms o Use the distributive property to multiply polynomials o Find the squares of sums and differences o Find the product of a sum and a difference o Factor out the GCF of the terms of a polynomial o Factor polynomials in the form x 2 +bx+c o Factor polynomials in the form ax 2 +bx+c o Factor a polynomial by grouping o Graph y = ax 2 + c by using a table o Graph y = ax 2 + bx + c by using a table o Solve quadratic equations by graphing o Solve a quadratic equation by o Floor Plan Activity o Pascal s Triangle o Scientific Calculator Activity A.SSE.1-3 A.APR.1 A.SSE.1 A.SSE.3 A.REI.4 0-12 F.IF.1-5, F.IF.7 F.BF.1
Unit 12: Compare and Recognize Functions Unit 13: Probability and Statistics using the zero product property o Factor quadratic equations and solve o Factor quadratic equations that are the difference of squares o Factor the quadratic equations that are perfect squares o Solve quadratic equations (missing the middle term) using the square root method o Solve quadratic equations by using the Quadratic Formula o Compare linear, exponential, and quadratic models o Graph and examine absolute value functions o Graph and examine Square root functions o Graph and examine cubic functions o Understand how to represent data with Histograms and Box Plots o Compare different centers with mean median and mode o Recognize inear, quadratic, and exponential data models o Basketball o Bridges. Activity o Desmos discovery activity Project F.BF.3 A.SSE.1 F.IF.1-5 F.IF.7 F.IF.9 F.LE.1-3 F.LE.5 A.REI.7 F.LE.3 S.ID.1 S.ID.2 S.ID.4-9 Link to Standards http://www.cde.ca.gov/be/cc/cd/documents/may2012item12catt2.pdf