Math Competencies PDF

QUARTER 1 1\. identify simple 2-dimensional shapes (triangle, rectangle, square) of different size and in different orientation. 2\. compare and distinguish 2-dimensional shapes according to features such as sides and corners. 3\. compose and decompose triangles, squares, and rectangles 4\. coun...

QUARTER 1 1\. identify simple 2-dimensional shapes (triangle, rectangle, square) of different size and in different orientation. 2\. compare and distinguish 2-dimensional shapes according to features such as sides and corners. 3\. compose and decompose triangles, squares, and rectangles 4\. count up to 100 (includes counting up or down from a given number and identifying a number that is 1 more or 1 less than a given number). 5\. read and write numerals up to 100. 6\. recognize and represent numbers up to 100 using a variety of concrete and pictorial models (e.g., number line, block or bar models, and numerals). 7\. compare two numbers up to 20. 8\. order numbers up to 20 from smallest to largest, and vice versa. 9\. describe the position of objects using ordinal numbers: 1st, 2nd, 3rd, up to 10th. 10\. compose and decompose numbers up to 10 using concrete materials (e.g., 5 is 5 and 0; 4 and 1; 3 and 2; 2 and 3; 1 and 4; 0 and 5). 11\. illustrate addition of numbers with sums up to 20 using a variety of concrete and pictorial models and describes addition as "counting up," and "putting together." 12\. illustrate by applying the following properties of addition, using sums up to 20: a. the sum of zero and any number is equal to the number, and b. changing the order of the addends does not change the sum. 13\. solve problems (given orally or in pictures) involving addition with sums up to 20. QUARTER 2 1\. measure the length of an object and the distance between two objects using non-standard units. 2\. compare lengths and distances using non-standard units. 3\. solve problems involving lengths and distances using non-standard units. 4\. order numbers up to 100 from smallest to largest, and vice versa. 5\. counts by 2s, 5s and 10s up to 100. 6\. determine a. the place value of a digit in a 2-digit number, b. the value of a digit, and c. the digit of a number, given its place value 7\. decompose any 2-digit number into tens and ones. 8\. add numbers by expressing addends as tens and ones (expanded form). 9\. add numbers with sums up to 100 without regrouping, using a variety of concrete and pictorial models for: a. 2-digit and 1-digit numbers, and b. 2-digit and 2-digit numbers. 10\. solve problems (given orally or in pictures) involving addition with sums up to 100 without regrouping. GRADE 4 QUARTER 1 1\. illustrate different angles (right, acute, and obtuse) using models. 2\. measure and draw angles using a protractor. 3\. draw and state the properties of triangles and quadrilaterals. 4\. classify triangles and quadrilaterals according to sides and angles. 5\. differentiate different quadrilaterals. 6\. find the perimeter of quadrilaterals that are not squares or rectangles. 7\. find the perimeter of composite figures composed of triangles and quadrilaterals. 8\. read and write numbers up to 1 000 000 in numerals and in words. 9\. determine a. the place value of a digit in a 6-digit number, b. the value of a digit, and c. the digit of number, given its place value. 10\. compare numbers up to 1 000 000 using =, \< and \>. 11\. round numbers to the nearest hundred thousand. 12\. estimate the sum and difference of two 5- to 6-digit numbers by rounding the addends to the nearest large place value of the numbers. 13\. add numbers with sums up to 1 000 000 and subtracts numbers where both numbers are less than 1 000 000, with and without regrouping. QUARTER 2 1\. multiply two numbers with and without regrouping: a. 3- to 4-digit numbers by a 1-digit number, and b. 2- to 3-digit numbers by 2-digit numbers, with products up to 1 000 000. 2\. estimate the result of multiplying two numbers where the product is less than 1 000 000. 3\. solve multi-step problems involving one or more of the four operations with results of calculations up to 1 000 000, including problems involving money. 4\. divide two numbers with and without regrouping a. 3- to 4-digit numbers by 1-digit numbers b. 2- to 3-digit numbers by 2-digit numbers 5\. estimate the quotient when dividing 3- to 4-digit dividends by 1- to 2-digit divisors, by first estimating the dividends and divisors using multiples of 10. 6\. represent situations involving one or more of the four operations using a number sentence. 7\. perform two or more different operations by applying the MDAS rules 8\. convert common units of measure from larger to smaller units, and vice versa: a. meter and centimeter, b. kilometer and meter, c. kilogram and gram, d. gram and milligram, and e. liter and milliliter. 9\. convert time measures from smaller to larger units, and vice versa: a. seconds to minutes, b. minutes to hours, c. hours to days, d. days to weeks e. weeks to months, and f. months to years. 10\. solve problems involving conversion of units of length, mass, capacity, and time, including problems involving elapsed time in hours and minutes. 11\. identify proper fractions, improper fractions, and mixed numbers. 12\. rewrite improper fractions into mixed numbers, and vice versa. 13\. plot fraction (proper fractions, improper fractions, and mixed numbers) with denominators 2, 4, 5, and 10 on the number line. 14\. add and subtract similar fractions: a. two proper fractions, b. two mixed numbers, c. a mixed number and a proper fraction, d. a whole number and a proper fraction, and e. a whole number and a mixed number. QUARTER 3 1\. represent dissimilar fractions, with denominators up to 10, using models. 2\. compare dissimilar fractions using the symbols =, \>, and \