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Curriculum

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:
 

  1. learn that God made everything and that there is an order of things in math
  2. learn to recognize numbers

 
Adding and Subtracting
The child will:
 

  1. learn that if you take an item and put it next to another item, you now have two items
  2. learn that if you have five items and take two items away, you now have three items

 
More & Less
The child will:
 

  1. 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
  2. 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:
 

  1. learn that the number system starts with zero
  2. learn that zero is the absence of any numbers
  3. learn that numbers can go on forever
  4. learn the numbers 0-9
  5. begin to learn the teens and twenties

 
Geometry
The child will:
 

  1. learn the difference between circles, squares, rectangles, and triangles
  2. learn the basic shapes

 
 
 
Kindergarten
Math
Objectives:
 
Number / Numeration
The child will:
 

  1. explore and identify the number of objects in a set
  2. explore and compare the number of objects in a set
  3. investigate whole numbers to 100
  4. identify and sequence numerals up to 30
  5. read and write numerals to 30
  6. explore and understand basic place value concepts for whole numbers
  7. explore and identify the following fractions- ½, ¼, and 1/3
  8. understand the definitions of addition and subtraction of whole numbers and apply it to problems
  9. identify objects in ordinal positions, first through tenth
  10. count by 2’s, 5’s and 10’s to 100
  11. read and match number names for whole numbers up to 10

                                                                                                                                                             
Measurement
The child will:
 

  1. use techniques related to measuring, using both arbitrary units of measure and inches
  2. understand the basic concepts of length, weight, capacity, area, time, temperature and monetary value
  3. explore the calendar and sequence events and duration of time
  4. identify the value of currency including pennies, nickels and dimes
  5. compare prices of items and identify enough money
  6. use location terms in appropriate ways ( above, below, etc.)
  7. identify left and right positions

 
Geometry
The child will:
 

  1. explore and identify the following basic geometric shapes:  circle, square, triangle, rectangle
  2. explore and identify the following figures:  sphere, cube, cylinder, cone, pyramid
  3. explore simple patterns of line symmetry

 
Statistics / Probability
The child will:
 

  1. gather data by counting
  2. explore  and construct a bar graph
  3. analyze data by most or least

 
 
Algebra
The child will:
 

  1. explore the concept of the “unknown” using physical objects
  2. explore pattern recognition ( red, blue, red, blue)

 
Problem Solving
The child will:
 

  1. use objects, pictures, and problem situations to model and interpret different definitions of addition and subtraction of whole numbers
  2. identify when a problem exists
  3. act out a problem situation
  4. recognize and use patterns and make generalizations
  5. check and revise solutions

 
 
Grades 1-2
Math
Objectives:
 
Number / Numeration
The child will:
 

  1. identify number of objects in a set
  2. compare and order numbers through 100’s place
  3. recognize numbers in word form or expanded form
  4. recognize ordinal numbers
  5. identify and write whole numbers up to 100
  6. count using multiples of 2, 5, 10
  7. recognize, read, and write simple fractions
  8. add 1, 2, 3, digits numbers with regrouping
  9. subtract 1, 2, 3, digit numbers with regrouping
  10. illustrate and understand the meaning of multiplication
  11. identify fractions that are part of a whole object and part of a set
  12. recognize and complete number patterns
  13. demonstrate a knowledge of basic addition & subtractions facts

 
Measurement
The child will:
 

  1. understand the basic concepts of length, weight, area, liquid capacity, time, temperature, and monetary value
  2. understand length, width and height measurement in inches, feet yards, meters, and centimeters
  3. demonstrate skills of weight measurement in pounds, grams ounces, and kilograms
  4. demonstrate skills associated with liquid capacity in cups, pints, quarts, gallons, & liters
  5. tell time to 5 minutes
  6. understand elapsed time in hours
  7. demonstrate knowledge of calendar
  8. identify units of measure and demonstrate the correct use of the appropriate measurement instrument
  9. recognize monetary value of coins and $1.00 bills
  10. add and subtract money through $9.99

 
Geometry
The child will:
 

  1. explore geometric shapes and attributes of plane figures2
  2. identify solid shapes and their attributes3
  3. explore the relationships of similarity and congruence
  4. identify patterns of symmetry
  5. recognize transformations such as slides, flips and turns

           
           
Statistics and Probability
The child will:
 

  1. Gather data by counting or measuring
  2. Organize the data in order to interpret it
  3. Demonstrate the ability to use tables, charts, and tallies
  4. Make and interpret pictographs and bar graphs
  5. understand the concept of probability

 
Algebra
The child will:
 

  1. model and write number sentences
  2. demonstrate knowledge of the properties of whole numbers
  3. recognize missing addends
  4. identify missing factors
  5. explain inequality symbols

 
Problem solving
The child will:
 

  1. find needed information in picture, maps, graphs, charts tables and tallies
  2. determine if there is too much information of not enough information in a problem
  3. act our problems and choose the correct operation to solve it
  4. use estimation in solving a problem
  5. illustrate the strategies used to solve a problem
  6. check the reasonableness of their answers

 
 
Grades 3-5
Math
Objectives:
 
Number / Numeration:
The child will:
 

  1. mentally add, subtract, multiply and divide basic facts to 9.
  2. read and write numerals through hundred millions and through thousandths.
  3. tell whether an estimate or an exact answer is necessary.
  4. understand place value of numerals through hundred millions and through thousandths.
  5. read, write and convert between standard, word and expanded form.
  6. compare, order, and round whole numbers through hundred millions.
  7. estimate and find products of whole numbers when multiplying by a 1, 2, or 3 digit number.
  8. estimate and find quotients of whole numbers when dividing by a dividend by a 2 digit divisor, with or without remainders.
  9. understand different uses of fractions, such as part of a whole or set, number line, percent, ratio and rates.
  10. estimate fractions that are close to 0, 1 and ½ .
  11. read and write fractions in words and numerals.
  12. find equivalent fractions.
  13. compare and order fractions with like and unlike denominators.
  14. convert fractions to decimals and decimals to fractions.
  15. estimate and find sums and differences of fractions and mixed numbers.
  16. convert whole numbers and mixed numbers to improper fractions and improper fractions to whole numbers and mixed numbers.
  17. estimate and find products of fractions.
  18. estimate and find sums and differences of decimals through thousandths.
  19. estimate and find products of decimals.
  20. estimate and find quotients of decimals divided by a whole number.
  21. find reciprocals of fractions.
  22. find the greatest common factor (GCF) and least common multiple (LCM) of a set list of numbers.
  23. identify prime and composite numbers through 50.
  24. understand associative and commutative properties.
  25. identify number patterns and sequences.
  26. find the prime factorization for a number.
  27. mentally multiply and divide by 10, 100, and 1000.

 
Measurement:
The child will:
 

  1. estimate lengths to the nearest centimeter or half-inch and measure to the nearest centimeter or eighth inch.
  2. estimate, measure, and/or convert inches, feet and yards or centimeters, and meters (units of length)
  3. find the perimeter of polygons using either addition or a formula.
  4. find the area of squares and rectangles directly or by using a formula.
  5. estimate, measure, and/or convert gallons, quarts, pints, and cups or liters and milliliters (units of liquid volume)
  6. estimate, measure, and/or convert seconds, minutes and hours.
  7. tell time given the number of hours and minutes before or after a stated time using A.M. and P.M.
  8. read temperature to the nearest degree on either a Fahrenheit or Celsius thermometer.
  9. compute measurement using addition, subtraction, multiplication and division.
  10. find the area of squares, rectangles and triangles either directly or by using a formula.
  11. find the surface area of cubes and prisms either directly or by using a formula.
  12. find the volume of a cube or prism either directly or by using a formula.

 
Geometry
The child will:
 

  1. Identify and classify the following three dimensional figures: cubes, rectangular prisms, pyramids, spheres, cylinders, and cones by the number of faces, vertices, and edges.
  2. identify congruent and similar shapes and their corresponding parts.
  3. identify and classify by angles, congruence of sides, and parallel sides the following quadrilaterals: squares, rectangles, parallelograms, rhombuses, trapezoids.
  4. identify by shape and classify by congruence of sides and angles scalene triangles, isosceles triangles, and equilateral triangles and describe each triangles properties.
  5. identify right, acute and obtuse angles by sight and by measurement.
  6. identify the radius and diameter of a circle.
  7. name and graph ordered pairs.

 
Statistics and Probability
The child will:
 

  1. gather data by counting, performing simple experiments, or by measuring.
  2. construct pictographs, bar graphs, and line graphs.
  3. determine the probability of simple events such as flipping a coin.
  4. make a table of information after conducting a simple probability experiment.
  5. Find the average of a group of numbers.

 
Problem Solving
The child will:
 

  1. use objects, pictures and problem situations to model and interpret different definitions of addition, subtraction, multiplication and division of whole numbers.
  2. identify when a problem exists.
  3. recognize and use number patterns and make generalizations.
  4. approximate the solution of a problem by gathering and using samples of data.
  5. check and revise solutions.
  6. solve word problems that require two steps.
  7. read, understand, and solve word problems that have extra, unnecessary, or to much information as well as recognize a problem that lacks information.
  8. estimate the answer to a word problem to check the reasonableness of the answer.
  9. write simple story problems that include addition, subtraction, multiplication and division.
  10. graph points on a coordinate plane.
  11. use lists and tables to answer problems.

 
 
 
Grades 6-8
Math
Objectives
 
Number / Numeration
The child will:
 

  1. Order decimals and fractions
  2. Round decimals
  3. Convert simple fractions and mixed numbers to decimals
  4. Know by memory the common decimals and fractions between zero and one
  5. Multiply by 10, 100, 1,000,…/ 0.1, 0.01, 0.001…
  6. Change word names for numbers to decimals
  7. Multiply by powers of 10
  8. Convert large and small numbers into scientific notation
  9. Convert percents to decimals
  10. Know common fractions and percent equivalents
  11. Find percents of numbers
  12. Use the order of operations to evaluate numerical expressions
  13. Evaluate numerical expressions containing grouping symbols
  14. Add any numbers written as decimals or fractions
  15. Calculate absolute value
  16. Apply properties of addition to simplify expressions
  17. Subtract any numbers written as decimals
  18. Multiply fractions
  19. Use the equal fractions property to rewrite fractions
  20. Given instances of a pattern write a description of the pattern using variables
  21. Give instances of a pattern described with variables
  22. Identify properties of addition
  23. Determine whether a number is prime or composite
  24. Find the meaning of unknown words
  25. Apply the properties of subtraction
  26. Distinguish equivalent  from non-equivalent sentences and formulas
  27. Identify propertied of multiplication
  28. Use properties to solve and check expressions and calculations
  29. Apply the multiplication property of 0 and -1
  30. Recognize and use the distributive property
  31.  Identify numbers as rational, irrational, or real
  32. Give situations where estimates are preferred over exact values
  33. Find percents of quantities in real situations
  34. Use simpler numbers to answer a question requiring only one operation
  35.  Graph a decimal on a number line
  36. Read a number line
  37. Indicate a key sequence for doing an arithmetic problem on a calculator
  38. Draw a line segment of a given length
  39. Picture addition and subtraction of positive and negative numbers using arrows on a number line
  40. Determine the proper amount of change from a purchased item
  41. Understand different uses of fractions such as part of a whole or set, quotient, number line, percent, ratio, and rates
  42. Understand and use squares, square roots, cube root and perfect squares
  43. Use cross-products

 
Measurement
The child will:
 

  1. Measure lengths to the nearest inch, half inch, quarter inch, or eighth inch, or to the nearest centimeter or millimeter
  2. Measure an angle to the nearest degree using a protractor
  3. Know the relationship in and between the U.S. and metric system with respect to length, weight, and capacity
  4. State and apply the estimation principle
  5. Give appropriate units for measuring mass, length, and capacity in the U.S. and metric systems
  6. Convert within and between the U.S. and metric systems
  7. Pick appropriate units in measurement situations
  8. Solve problems of adding pounds and ounces
  9. Determine actual height from scale drawings

 
Geometry
The child will:
 

  1. Find the area of squares, rectangles, triangles, parallelograms, trapezoids, and circles either directly by covering with squares or with a formula
  2. Find the surface area of cubes, pyramids, cylinders, cones, and rectangular prisms either directly or with a formula
  3. Find the volume of a cube, cylinder, pyramid, cone, sphere, or rectangular prism either directly or with a formula
  4. Find the surface area or volume of a sphere, given its radius or diameter
  5. Find the perimeter and area of a polygon
  6. Find measures of angles in figures with linear pairs, vertical angles, perpendicular line, or angles in figures with parallel line and transversals
  7. Use the triangle-sum property to find measures of angles
  8. Find measures of angles and sides in special quadrilaterals without measuring
  9. Draw and identify reflections, rotations, translations, and lines of symmetry
  10. Find area, perimeter, surface area, and volume of a rectangle or rectangular solid, given its dimensions
  11. Use the Pythagorean theorem to find lengths of third sides in right triangles
  12. Identify and use the diameter of a circle in solving problems with circumference and area
  13. Classify polygons
  14. Identify parts and give names of polygons
  15. Draw an angle with a given measure
  16. Draw a diagram to find the number of diagonals in a polygon
  17. Draw a diagram to aid in solving geometric problems
  18. Identify congruent shapes and their corresponding parts
  19. Find missing lengths in similar figures

 
Statistics/Probability
The child will:
 

  1. Interpret and display information on bar and line graphs
  2. Calculate probabilities of dependent and independent events
  3. Gather data by counting or performing simple experiments
  4. Determine the probability by the use of a spinner
  5. Define and calculate the mean, median, mode, and range for a given set of data
  6. Predict events and determine possible outcomes
  7. Use probability as a fraction of 1 or of 0
  8. Define and calculate permutations and combinations

 
Algebra
The child will:
 

  1. Understand the use of parentheses in the order of operations
  2. Find and define absolute value
  3. Evaluate numerical expressions given the values of all variables
  4. Solve equations of the form x+a=b and a-x=b
  5. Multiply positive and negative numbers
  6. Solve and check equations in the form ax=b mentally, by substitution, or using the multiplication property of equality
  7. Solve and check equations of the form ax+b=c
  8. Divide fractions with numbers or variables
  9. Divide positive and negative numbers
  10. Solve proportions
  11. Convert repeating decimals into fractions
  12. Solve and check equations of the form ax+b=cx+d
  13. Know and apply the substitution principle
  14. Given instances of a real world pattern, write a description of the pattern using variables
  15. Write a numerical expression for an English expression involving arithmetic operations
  16. Calculate the value of a variable, given the values of other variables in a formula
  17. Apply formula in real situations
  18. Graph the solutions to any inequality of the form x<a and similar inequalities and identify such graphs
  19. Plot and name points on a coordinate graph
  20. Graph equations for the lines of the form x+y=k or x-y+k

 
Problem Solving
The child will:
 

  1. Understand the methods followed by good problem solvers
  2. Identify when a problem exists
  3. Write and solve story problems involving addition, subtraction, multiplication, or division
  4. Use the formulas for interest, distance, perimeter, area, and volume to solve a problem
  5. Define a relation and a function
  6. Solve consumer math problems (profit and loss, earnings, and commission)
  7. Solve problems using the following techniques:
    1. Use objects to model the problem
    2. Make drawings of the problem
    3. Use lists or tables
    4. Use an equation
    5. Use simpler versions of the problem
    6. Act out the problem
    7. Conduct a simulation or experiment of the problem
    8. Find a pattern to solve the problem
    9. Guess and check
    10. Use outside sources to find information necessary to solve a problem
    11. Work backwards
    12. estimate, check, and revise solutions
    13. Identify extra or missing information in a word problem
    14. Identify proper equations to use in solving a word problem

  
 

Teacher:
Miss Cassandra Grys





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