MATH GUARANTEEDS PRESCHOOL: ● Count to 20 verbally ● Recognize the numbers 1 – 10 ● Know shapes: Circle, square, triangle, rectangle, diamond, oval ● Match one to one up to 5 ● Sort Objects by size, shape and/or color ● Draw simple shapes KINDERGARTEN: ● Recognize and write numbers 0 – 20 ● Decompose numbers less than or equal to 10 into pairs in more than one way ● For any number 1 – 9, find the number that makes 10 ● Fluently add and subtract within 5 ● Knows shapes: circle, triangle, square, FIRST: ● ● ● ● ● Add and subtract word problems within 20 Understand place value to 120 Use comparison symbols to compare two 2-digit numbers Add and subtract single and double digit numbers Tell and write time to hour and half-hour using digital and analog clocks SECOND: ● Determine if groups of objects are odd or even numbered ● Understand that a three digit number represents hundreds, tens, ones ● Count with in 100, incude skip counting by 5’s, 10’s, and 100’s. ● Fluently add/subtract wihtin 100 ● Measure/select appropriate tool to nearest centimeter or inch ● Tell tiem from analog or digital clock to the nearest five minutes using a.m. or p.m. THIRD: ● Basic multiplication facts within 144 and division with graphic representation ● Place value to thousands ● Measure to the nearest ¼ inch ● Compare fractions using manipulatives ● Identify polygons (basic) FOURTH: ● Addition and subtaction with like fractions ● Multiply whole numbers up to 4 digit by 1 digit ● Multiply 2 digit, by 2 digit numbers ● Divide 4 digit dividends by 1 digit divisor with remainder FIFTH: ● ● ● ● SIXTH: ● ● Multiply multi-digit numbers together Compare, order, round all forms Adding and subtracting with like & unlike denominators Dividing whole numbers Decimals, fractions, & percents (all operations) GCF & LCM SEVENTH: ● Ratio/Proportion/Similarity ● Integers (all operations) ● Geometry Area and Perimeters ● Surface Area and Volume EIGHTH: ● Graph Lines (Linear Equations, Linear Inequalities, and Functions ● Solve multi-step equations ● Order of operations with complex opearations and multiple parentheses ● Pythagorean Theorem ALGEBRA I: ● Solve and graph linear functions ● Solve systems of linear equations by graphing, substitution and elimination ● Solve quadratics – factoring and quadratic formula ● Simplify and evaluate radical expressions and equations (rationalizing denominator GEOMETRY: ● Special right triangles and Pythagorean Theorem ● Use and apply formulas Spatial Relations (distance and midpoint) ● Right Triangle Trig functions ● Compute area, surface area, and volume ALGEBRA II: ● Exponents and Logarithms ● Quadratics – real and complex roots using multiple methods (factoring, formula, graphically) completing the square ● Complex numbers – basic operations ● Rational Expression Simplification