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 Math Description: Math is the science dealing with the properties of and the relations between quantities, sets, and operations. We teach math because it is an important part of our daily life. As stewards of our Lord’s gifts, it is our responsibility to maximize the basic skills in mathematics. We also recognize the order in God’s creation and wish to make wise use of his material blessings, giving back to our Lord our first fruits out of love for what he has given us.    Curriculum: Preschool Math Objectives   General Objectives Math The child will:   learn that God made everything and that there is an order of things in math learn to recognize numbers   Adding and Subtracting The child will:   learn that if you take an item and put it next to another item, you now have two items learn that if you have five items and take two items away, you now have three items   More & Less The child will:   learn that if you are finding enough objects to make the number five and you have two  more than needed, they will need to put two objects back so that they have five objects when they are done counting learn that if you are finding enough objects to make the number five and you have only three objects, they have less than needed.  So, they will need to bring two more objects so that they have five objects when they are done counting   Counting The child will:   learn that the number system starts with zero learn that zero is the absence of any numbers learn that numbers can go on forever learn the numbers 0-9 begin to learn the teens and twenties   Geometry The child will:   learn the difference between circles, squares, rectangles, and triangles learn the basic shapes       Kindergarten Math Objectives:   Number / Numeration The child will:   explore and identify the number of objects in a set explore and compare the number of objects in a set investigate whole numbers to 100 identify and sequence numerals up to 30 read and write numerals to 30 explore and understand basic place value concepts for whole numbers explore and identify the following fractions- ½, ¼, and 1/3 understand the definitions of addition and subtraction of whole numbers and apply it to problems identify objects in ordinal positions, first through tenth count by 2’s, 5’s and 10’s to 100 read and match number names for whole numbers up to 10                                                                                                                                                               Measurement The child will:   use techniques related to measuring, using both arbitrary units of measure and inches understand the basic concepts of length, weight, capacity, area, time, temperature and monetary value explore the calendar and sequence events and duration of time identify the value of currency including pennies, nickels and dimes compare prices of items and identify enough money use location terms in appropriate ways ( above, below, etc.) identify left and right positions   Geometry The child will:   explore and identify the following basic geometric shapes:  circle, square, triangle, rectangle explore and identify the following figures:  sphere, cube, cylinder, cone, pyramid explore simple patterns of line symmetry   Statistics / Probability The child will:   gather data by counting explore  and construct a bar graph analyze data by most or least     Algebra The child will:   explore the concept of the “unknown” using physical objects explore pattern recognition ( red, blue, red, blue)   Problem Solving The child will:   use objects, pictures, and problem situations to model and interpret different definitions of addition and subtraction of whole numbers identify when a problem exists act out a problem situation recognize and use patterns and make generalizations check and revise solutions     Grades 1-2 Math Objectives:   Number / Numeration The child will:   identify number of objects in a set compare and order numbers through 100’s place recognize numbers in word form or expanded form recognize ordinal numbers identify and write whole numbers up to 100 count using multiples of 2, 5, 10 recognize, read, and write simple fractions add 1, 2, 3, digits numbers with regrouping subtract 1, 2, 3, digit numbers with regrouping illustrate and understand the meaning of multiplication identify fractions that are part of a whole object and part of a set recognize and complete number patterns demonstrate a knowledge of basic addition & subtractions facts   Measurement The child will:   understand the basic concepts of length, weight, area, liquid capacity, time, temperature, and monetary value understand length, width and height measurement in inches, feet yards, meters, and centimeters demonstrate skills of weight measurement in pounds, grams ounces, and kilograms demonstrate skills associated with liquid capacity in cups, pints, quarts, gallons, & liters tell time to 5 minutes understand elapsed time in hours demonstrate knowledge of calendar identify units of measure and demonstrate the correct use of the appropriate measurement instrument recognize monetary value of coins and \$1.00 bills add and subtract money through \$9.99   Geometry The child will:   explore geometric shapes and attributes of plane figures2 identify solid shapes and their attributes3 explore the relationships of similarity and congruence identify patterns of symmetry recognize transformations such as slides, flips and turns                         Statistics and Probability The child will:   Gather data by counting or measuring Organize the data in order to interpret it Demonstrate the ability to use tables, charts, and tallies Make and interpret pictographs and bar graphs understand the concept of probability   Algebra The child will:   model and write number sentences demonstrate knowledge of the properties of whole numbers recognize missing addends identify missing factors explain inequality symbols   Problem solving The child will:   find needed information in picture, maps, graphs, charts tables and tallies determine if there is too much information of not enough information in a problem act our problems and choose the correct operation to solve it use estimation in solving a problem illustrate the strategies used to solve a problem check the reasonableness of their answers     Grades 3-5 Math Objectives:   Number / Numeration: The child will:   mentally add, subtract, multiply and divide basic facts to 9. read and write numerals through hundred millions and through thousandths. tell whether an estimate or an exact answer is necessary. understand place value of numerals through hundred millions and through thousandths. read, write and convert between standard, word and expanded form. compare, order, and round whole numbers through hundred millions. estimate and find products of whole numbers when multiplying by a 1, 2, or 3 digit number. estimate and find quotients of whole numbers when dividing by a dividend by a 2 digit divisor, with or without remainders. understand different uses of fractions, such as part of a whole or set, number line, percent, ratio and rates. estimate fractions that are close to 0, 1 and ½ . read and write fractions in words and numerals. find equivalent fractions. compare and order fractions with like and unlike denominators. convert fractions to decimals and decimals to fractions. estimate and find sums and differences of fractions and mixed numbers. convert whole numbers and mixed numbers to improper fractions and improper fractions to whole numbers and mixed numbers. estimate and find products of fractions. estimate and find sums and differences of decimals through thousandths. estimate and find products of decimals. estimate and find quotients of decimals divided by a whole number. find reciprocals of fractions. find the greatest common factor (GCF) and least common multiple (LCM) of a set list of numbers. identify prime and composite numbers through 50. understand associative and commutative properties. identify number patterns and sequences. find the prime factorization for a number. mentally multiply and divide by 10, 100, and 1000.   Measurement: The child will:   estimate lengths to the nearest centimeter or half-inch and measure to the nearest centimeter or eighth inch. estimate, measure, and/or convert inches, feet and yards or centimeters, and meters (units of length) find the perimeter of polygons using either addition or a formula. find the area of squares and rectangles directly or by using a formula. estimate, measure, and/or convert gallons, quarts, pints, and cups or liters and milliliters (units of liquid volume) estimate, measure, and/or convert seconds, minutes and hours. tell time given the number of hours and minutes before or after a stated time using A.M. and P.M. read temperature to the nearest degree on either a Fahrenheit or Celsius thermometer. compute measurement using addition, subtraction, multiplication and division. find the area of squares, rectangles and triangles either directly or by using a formula. find the surface area of cubes and prisms either directly or by using a formula. find the volume of a cube or prism either directly or by using a formula.   Geometry The child will:   Identify and classify the following three dimensional figures: cubes, rectangular prisms, pyramids, spheres, cylinders, and cones by the number of faces, vertices, and edges. identify congruent and similar shapes and their corresponding parts. identify and classify by angles, congruence of sides, and parallel sides the following quadrilaterals: squares, rectangles, parallelograms, rhombuses, trapezoids. identify by shape and classify by congruence of sides and angles scalene triangles, isosceles triangles, and equilateral triangles and describe each triangles properties. identify right, acute and obtuse angles by sight and by measurement. identify the radius and diameter of a circle. name and graph ordered pairs.   Statistics and Probability The child will:   gather data by counting, performing simple experiments, or by measuring. construct pictographs, bar graphs, and line graphs. determine the probability of simple events such as flipping a coin. make a table of information after conducting a simple probability experiment. Find the average of a group of numbers.   Problem Solving The child will:   use objects, pictures and problem situations to model and interpret different definitions of addition, subtraction, multiplication and division of whole numbers. identify when a problem exists. recognize and use number patterns and make generalizations. approximate the solution of a problem by gathering and using samples of data. check and revise solutions. solve word problems that require two steps. read, understand, and solve word problems that have extra, unnecessary, or to much information as well as recognize a problem that lacks information. estimate the answer to a word problem to check the reasonableness of the answer. write simple story problems that include addition, subtraction, multiplication and division. graph points on a coordinate plane. use lists and tables to answer problems.       Grades 6-8 Math Objectives   Number / Numeration The child will:   Order decimals and fractions Round decimals Convert simple fractions and mixed numbers to decimals Know by memory the common decimals and fractions between zero and one Multiply by 10, 100, 1,000,…/ 0.1, 0.01, 0.001… Change word names for numbers to decimals Multiply by powers of 10 Convert large and small numbers into scientific notation Convert percents to decimals Know common fractions and percent equivalents Find percents of numbers Use the order of operations to evaluate numerical expressions Evaluate numerical expressions containing grouping symbols Add any numbers written as decimals or fractions Calculate absolute value Apply properties of addition to simplify expressions Subtract any numbers written as decimals Multiply fractions Use the equal fractions property to rewrite fractions Given instances of a pattern write a description of the pattern using variables Give instances of a pattern described with variables Identify properties of addition Determine whether a number is prime or composite Find the meaning of unknown words Apply the properties of subtraction Distinguish equivalent  from non-equivalent sentences and formulas Identify propertied of multiplication Use properties to solve and check expressions and calculations Apply the multiplication property of 0 and -1 Recognize and use the distributive property  Identify numbers as rational, irrational, or real Give situations where estimates are preferred over exact values Find percents of quantities in real situations Use simpler numbers to answer a question requiring only one operation  Graph a decimal on a number line Read a number line Indicate a key sequence for doing an arithmetic problem on a calculator Draw a line segment of a given length Picture addition and subtraction of positive and negative numbers using arrows on a number line Determine the proper amount of change from a purchased item Understand different uses of fractions such as part of a whole or set, quotient, number line, percent, ratio, and rates Understand and use squares, square roots, cube root and perfect squares Use cross-products   Measurement The child will:   Measure lengths to the nearest inch, half inch, quarter inch, or eighth inch, or to the nearest centimeter or millimeter Measure an angle to the nearest degree using a protractor Know the relationship in and between the U.S. and metric system with respect to length, weight, and capacity State and apply the estimation principle Give appropriate units for measuring mass, length, and capacity in the U.S. and metric systems Convert within and between the U.S. and metric systems Pick appropriate units in measurement situations Solve problems of adding pounds and ounces Determine actual height from scale drawings   Geometry The child will:   Find the area of squares, rectangles, triangles, parallelograms, trapezoids, and circles either directly by covering with squares or with a formula Find the surface area of cubes, pyramids, cylinders, cones, and rectangular prisms either directly or with a formula Find the volume of a cube, cylinder, pyramid, cone, sphere, or rectangular prism either directly or with a formula Find the surface area or volume of a sphere, given its radius or diameter Find the perimeter and area of a polygon Find measures of angles in figures with linear pairs, vertical angles, perpendicular line, or angles in figures with parallel line and transversals Use the triangle-sum property to find measures of angles Find measures of angles and sides in special quadrilaterals without measuring Draw and identify reflections, rotations, translations, and lines of symmetry Find area, perimeter, surface area, and volume of a rectangle or rectangular solid, given its dimensions Use the Pythagorean theorem to find lengths of third sides in right triangles Identify and use the diameter of a circle in solving problems with circumference and area Classify polygons Identify parts and give names of polygons Draw an angle with a given measure Draw a diagram to find the number of diagonals in a polygon Draw a diagram to aid in solving geometric problems Identify congruent shapes and their corresponding parts Find missing lengths in similar figures   Statistics/Probability The child will:   Interpret and display information on bar and line graphs Calculate probabilities of dependent and independent events Gather data by counting or performing simple experiments Determine the probability by the use of a spinner Define and calculate the mean, median, mode, and range for a given set of data Predict events and determine possible outcomes Use probability as a fraction of 1 or of 0 Define and calculate permutations and combinations   Algebra The child will:   Understand the use of parentheses in the order of operations Find and define absolute value Evaluate numerical expressions given the values of all variables Solve equations of the form x+a=b and a-x=b Multiply positive and negative numbers Solve and check equations in the form ax=b mentally, by substitution, or using the multiplication property of equality Solve and check equations of the form ax+b=c Divide fractions with numbers or variables Divide positive and negative numbers Solve proportions Convert repeating decimals into fractions Solve and check equations of the form ax+b=cx+d Know and apply the substitution principle Given instances of a real world pattern, write a description of the pattern using variables Write a numerical expression for an English expression involving arithmetic operations Calculate the value of a variable, given the values of other variables in a formula Apply formula in real situations Graph the solutions to any inequality of the form x

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