Math Essential Skills

Kindergarten	High School
1st Grade	Algebra
2nd Grade	Algebra II
3rd Grade	General Math
4th Grade	Geometry
5th Grade	Pre-Algebra
6th Grade	Trig / Pre-Calculus
7th Grade
8th Grade

Kindergarten Kindergarten Checklist Students shall count orally to 100 read, write, order and compare numbers to 31 count backwards from ten perform addition and subtraction using ten objects understand more or less when comparing a set of objects locate numbers on a number line understand over, under, above, between, on, off, top and bottom use appropriate vocabular when comparing height, temperature and length use tally marks to collect data display data using pictorial graphs and tables recognize a circle, square, rectangle, triangle, and oval

1st Grade 1st Grade Checklist Students shall write, order and compare numbers to 100 write numbers 0 - 10 using words state and use basic addition facts 0-10 identify odd and even numbers to 50 identify and know the value of pennies, nickels and dimes skip count by 2's 5's and 10's to 50 add and subtract with sums to 20 using concrete objects (no regrouping) state how many days of the week and months of the year and list them in order read a regular and digital clock to the nearest half an hour recognize, draw and describe a circle, square, rectangle, triangle and oval organize and represent data on a simple bar graph or chart

2nd Grade 2nd Grade Checklist Students will read, write, order and compare numbers to 1000 know basic addition facts with sums of 20 perform adding and subtraction two-digit whole numbers with or without regrouping add and subtract money to $.99 count by 2's, 5's and 10's to 100 and 3' s to 36 tell time to the nearest quarter hour know how many minutes in an hour recognize and describe rhombus, hexagon, parallelogram, trapezoid and geometric solids such as cubes, cylinders, cones and spheres measure length and volume using U.S. and metric units graph using a Venn diagram with two attributes measure perimeter to nearest inch identify largest and smallest value in a set

3rd Grade 3rd Grade Checklist Students will compute whole number addition and subtraction up to one thousand with regrouping know subtraction facts to 18 recognize place value to the thousand's place and understand greater than, less than and equal to when comparing two numbers between 0-999 multiply numbers using addition, skip counting, a table, manipulative, etc. (concept building) measure length to nearest inch/centimeter understand telling time to nearest minute count change to a dollar using quarters, dimes, nickels and pennies recognize symmetrical shapes understand simple fractions (1/2, 1/4, 1/3) collect data, make a bar or line graph, answer questions related to the graph

4th Grade 4th Grade Checklist Students will understand decimals to the thousandths place add and subtract numbers to 1,000,000 multiply two digit by two digit numbers with carrying using basic facts divide two-digit by a one-digit number with remainder recognize and describe a rhombus, octagon, pentagon, circle, square, rectangle, triangle and eclipse (oval) find perimeter of a two-dimensional figure given measurement of all the sides measure objects to the nearest centimeter and one-fourth of an inch measure weight of an object to nearest pound or ounce add and subtract simple fractions (same denominators) add and subtract money using dollars and cents display whole numbers and categorical data on a frequency table and line graph identify and calculate mean (whole numbers only) and median (odd set of data points)

5th Grade 5th Grade Checklist Students shall: compare and order whole numbers, decimals and fractions greater than "0" explain and perform whole number division with remainders as whole numbers add, subtract and multiply decimals add and subtract fractions and mixed numbers without regrouping expressing answers in simplest form create mathematical models to show relationship between two or more thing using number lines, Venn Diagrams, etc. recognize, draw and describe points, lines, line segments, rays and angles as right, obtuse or acute know and use area and perimeter formulas for rectangles and squares organize, read and display numerical and non-numerical (categorical) data understand circle graphs calculate median for an even number of data points calculate range for a data set (36-12= 24, range is 24)

6th Grade 6th Grade Checklist Students shall: explain and use equivalent fractions/decimals perform whole number division and express remainder in decimals and fractions perform addition and subtraction of integers add, subtract multiply and divide with decimals add, subtract multiply fractions and mixed numbers answering in simplest form find whole number percents of a number (10% of 40) explain ration, proportion and percent recognize rays and angles as right, obtuse, acute and straight perform conversion of standard/metric units recognize scalene, isoceles and equilateral triangles graph and identify point on a coordinate plane using all quadrants describe probability of simple events using fractions organize and display data on a stem and leaf plot, scatter plot and line plot

7th Grade 7th Grade Checklist Students shall: add, subtract, multiply and divide fractions find percents and percent of numbers find perimeter and area of polygons find circumference and area of circles write and solve simple algebraic expressions in one variable write inequalities graph on a coordinate grid ordered pairs and linear equations name and use basic properties identify and continue patterns use ratios and proportions to solve problems describe probability of events using fractions, decimals and percents

8th Grade 8th Grade Checklist Students shall: explain irrational numbers know, explain and use the inverse relationship between whole number exponents and their roots add, subtract, multiply and divide integers explain and perform computations involving percent of increase and decrease explain linear fractions and write equations for linear fractions using slope and y-intercept solve linear equations and inequalities in one variable evaluate formulas and using subtractions know and explain the difference between linear and none - linear relationships know angle relationships formed by parallel lines cut by a transversal find surface area and volume of prisms and cylinders recognize, explain and perform single and multiple transformations know and explain the difference independent and dependent events

High School

Algebra I Algebraic Language The student will: Convert words into mathematical statements and equations Recognize and apply axioms and properties Develop and use models to represent and justify mathematical relationships Properties of Real Numbers The student will: Model and explain relationships between the number systems Implement operations when simplifying expressions Organize real numbers to simplify expressions Apply properties of rational and irrational numbers Equations The student will: Transform and solve equations from given information Recognize, solve and apply linear equations and systems Solve inequalities Use functions and relations Apply variations to solve problems Solve quadratic equations Polynomials The student will: Implement operations when simplifying polynomials Implement factoring techniques in simplifying polynomials Algebraic Fractions The student will: Apply operations to simplify algebraic fractions Express given information as ratios to solve proportions Evaluate problems involving percents Probability and Statistics The student will: Formalize probability theory Apply probability theory Generate, read, organize and interpret data (return to top of page)

Algebra II Linear Functions and Inequalities The student will: Perform operations of linear functions and inequalities. Perform operations of systems of linear functions and linear inequalities. Apply operations of linear functions, inequalities and systems to real world situations. Exponential and Logarithmic Functions The student will: Perform mathematical operations using properties of exponents. Perform the operations of exponential functions. Perform the operations of logarithmic functions. Quadratic and Radical Functions The student will: Recognize, graph, rewrite, and describe different forms of a quadratic function. Determine significant values in the graph of a quadratic function. Simplify and solve radical expressions and functions. Perform operations involving complex numbers. Polynomial and Rational Functions The student will: Identify and simplify polynomial expressions. Evaluate and solve polynomial functions. Perform the operations of rational functions. Probability, Statistics, and Modeling The student will: Perform basic matrix operations. Create linear, exponential, and matrix models to represent sets of data. Recognize and write non-biased survey questions based on the characteristics of type of data, population, sample, and leading questions. Interpret results of statistical data calculations. Determine probabilities, permutations, and combinations.

General Math Problem Solving The student will: Apply concept of looking for patterns Apply making and reading a table Apply the concept of using graphs and making lists Place-Value Systems The student will: Understand the base-ten place-value system Apply whole number addition, subtraction, multiplication, and division. Decimals & Percents The student will: Rewriting decimals, fractions, and percents. Ordering decimals Adding, subtract, divide, multiply decimals Fractions, Ratios, & Proportions The student will: Explore division and ratios Compare and order fractions Understand fractions greater than one Addition, subtraction, division, and multiplication of fraction. Geometry The student will: Exploring angles and their measures Exploring congruent and similar figures Understanding parallel, intersecting, and perpendicular lines Understanding area of circles and triangles Algebra The student will: Adding and subtracting integers Solving one step equations

Geometry Basic Terminology The student will: Identify and illustrate undefined terms. Define, identify, illustrate, and/or construct terms. Angles The student will: Classify and measure angles. Identify and compare 2 or more angles. Triangles The student will: Define, identify and illustrate parts of triangles. Classify triangles by sides. Classify triangles by angles. Identify and apply methods of proving triangles congruent. Identify and apply methods of proving triangles similar. Identify and apply inequalities in triangles. Perpendicular lines The student will: Define perpendicular lines. Apply concepts of perpendicular lines. Parallel lines The student will: Define parallel lines. Identify and apply concepts related to parallel lines and transversals. Quadrilaterals The student will: Identify parts of quadrilaterals. Classify quadrilaterals. Identify properties of quadrilaterals. Other Polygons The student will: Classify polygons. Identify properties of polygons. Circles The student will: Define terms related to circles. Apply properties of angles in circles.

Pre-Algebra Number Relationships and Theory The student will: Apply concept of value to real numbers Apply real number operations Apply the concept of estimation Distinguish between primes, composites, factors and multiples Recognize and apply properties of real numbers Recognize and interpret exponents and square roots Recognize and convert fractional forms of numbers Calculate fractional problems Calculate decimal problems Recognize and apply ratios and proportions Use multiple representations for the same real number Solve problems involving percents Measurement The student will: Estimate and measure a quantity appropriately Apply measurement concepts Geometry The student will: Identify, describe, compare and classify geometric ideas and figures Apply geometric properties and relationships Algebra The student will: Translate words into mathematical statements and equations using appropriate mathematical symbols Recognize, solve and apply equations and inequalities Formulate a graph using ordered pairs Probability and Statistics The student will: Recognize and interpret statistical information Recognize, interpret and calculate probability

Trig / Pre-Calculus Algebra Review The student will: Solve equations and inequalities Solve problems involving variation Manipulate algebraic expressions Recognize, manipulate and apply properties of basic trigonometric functions Trigonometry The student will: Recognize, manipulate and apply properties of basic trigonometric functions Solve trigonometric equations Apply trigonometric identities Solve triangles Identify, manipulate and apply angle sum, half angle and double angle formulas for sine & cosine Graph trigonometric functions Analytic Geometry The student will: Use formulas from coordinate geometry Recognize, manipulate and graph equations of conic sections and apply to practical problem solving situations Calculus The student will: Define and evaluate limits Define, evaluate and apply derivatives

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