5 TH GRADE MATH CURRICULUM MAP Approximate Month AUG. SEPT. SINGAPORE CORE COMMON CORE STATE STANDARDS BOY ASSESSMENT UNIT 1: BILLIONS -Write very large s in -read and write s (in digits and Standard 1.1, 1.2, words, standard form and words up to the billions expanded form -recognize place value up to billions -Understand place value for -compare integers using <, >, and = very large s -Compare very large s -Approximation round to the nearest round value, up to millions -Estimation- perform simple -estimate quotient operations for very large s -Estimate answers by rounding before performing simple operations -Identify the greatest common factor of two s -Identify the lowest common multiple of two or more s -Prime factorization -determine GCF of given s -determine LCM of given s -identify s under 100 as prime or composite -identify prime factors of s to 100 and write exponential notation for multiple primes
-Multiplying by tens, hundreds or thousands -Dividing by tens, hundreds or thousands UNIT 2- MORE CALCULATIONS WITH WHOLE NUMBERS -Solving calculations with parenthesis -Identifying distributive property -Practicing mental addition, subtraction, and multiplication -Word problems -Multiplying by a 2-digit whole -multiply two factors up to four digits each -Dividing by a 2-digit whole Dividing with a 1-digit, 2-digit, or -divide dividends up to four digits by 3-digit quotient three digit divisors UNIT 3- FRACTIONS -Review fraction concepts Standard 1.3, 1.4 -Fractions and division -Adding and subtracting unlike fractions -Adding and subtracting mixed s -Fraction times a whole -determine the least common denominator of fractions with unlike denominators -add and subtract mixed s and fractions with like and unlike denominators -multiply and divide fractions -multiply mixed s and fractions Standard 1.3 Standard 1.3
-Fraction of a whole -Fraction of a measurement -Mixed measurements -Fraction of a whole -Word problems -solve word problems with multiple Standard 1.3, 1.4 steps UNIT 4- MULTIPLY AND -multiply and divide fractions DIVIDE FRACTIONS -A fraction of a fraction -Product of fraction -Divide a fraction by a whole -Divide a whole by a fraction -Divide a fraction by a unit fraction -Divide a whole by a fraction -Divide a fraction by a fraction -Word problems- multistep -solve word problems with multiple steps UNIT 5-PERIMETER, AREA AND SURFACE AREA -Square units -Rectangles and squares -Area of a triangle -Area of a parallelogram -Surface area UNIT 6- RATIO -Finding ratio
-Equivalent ratios -Combining three quantities UNIT 7- DECIMALS -Decimal places of tenths, -read, write and order decimals to Standard 1.1 hundredths, and thousandths nearest thousandth -Ordering and comparing -read, write and order decimals to the Standard 1.1 decimals nearest thousandth -Rounding whole s and -add and subtract decimals through the to 1 and 2 decimal places 10,000ths -Adding decimals and subtracting decimals -Multiplying decimals by 1 digit whole s -Dividing decimals by 1 digit whole s -Expressing fractions as -write fractions as decimals decimals -Multiplying by 10 and tens -multiply decimals by 10, 100, or 1,000 -Multiplying by 100, 1000, -multiply decimals by 10, 100, or 1,000 hundreds, and thousands -Dividing decimals by 10 and tens -divide decimals by whole s and decimals -know how to move the decimal point -Dividing decimals by 100, 1000, hundreds, and thousands -Multiplying by a 2 digit whole -Dividing by a 2 digit whole when dividing by 10, 100, or 1,000 -know how to move the decimal point when dividing by 10, 100, or 1,000
-Multiplying a decimal by 0.1 or 0.01 -Multiplying decimals by another decimal -Dividing a decimal by 0.1 or 0.01 -Dividing decimals by another decimal UNIT 8- MEASURES AND VOLUMES -Conversion of measurements to smaller/compound units -convert to common units involving adding and subtracting -regroup when multiplying and dividing amounts of time Standard 1.1, 1.2 -Conversion of measurements Standard 1.1 to larger units MEASURES OF RECT. PRISIMS AND IRREGULAR OBJ. TAUGHT IN SCIENCE (v= lxwxh, surface are a of rectangular prisims) Standard 4.1 UNIT 9- PERCENTAGE -Understanding percentage -Expressing decimal as percentage and vice versa -Expressing percentage as fraction -Expressing fractions as a percentage -Finding the value of percentage part of a whole UNIT 10- ANGLES -Measuring angles -measure the degrees in Standard 4.2
angles - know right, acute, obtuse, and straight -Angles on lines and at a point Standard 4.2 -Angles in a triangle Standard 4.2 -Exterior angle of triangle Standard 4.2 -Isosceles and equilateral Standard 4.2 triangles -Finding unknown angles in a Standard 4.2 triangle -Drawing triangles -identify and construct different types of triangles: equilateral, right, and isosceles Standard 4.2 -Angles in a quadrilateral Standard 4.2 -Parallelograms Standard 4.2 -Finding unknown angles in Standard 4.2 quadrilaterals -Drawing parallelograms and -identify polygons: rhombus Standard 4.2 rhombuses UNIT 11-AVERAGE AND RATE -Understanding average -Finding average of measurement in compound units -Understanding rate -Using line and arrow diagrams to solve rate problems UNIT 12- DATA ANALYSIS -collect and organize data in Standard 3.1
a graphic form -solve problems requiring interpretation and applicaton of graphically displayed data -Finding the mean, median, and mode -find the mean of a given set of s -Histograms Standard 3.1 -Line graphs Standard 3.1 -Circle graphs Standard 3.1 -Fraction pie charts Standard 3.1 -Percentage pie charts UNIT13- ALGEBRA -Algebraic expressions with addition and subtraction -Algebraic expressions with multiplication and division -Algebraic expressions with all four orders of operations -Exponents in algebraic expressions -Simplifying algebraic expressions -Understand the meaning of integers -Add integers with the same sign -Add positive and negative integers -recognize variables and solve basic equations using variables -write and solve equations for word problems -find the value of an expression given replacement values -locate positive and negative s on a line -add and subtract positive and negative s
-Ordered pairs -graph simple functions Standard 3.1 -Linear graphs -plot points on a coordinate Standard 3.1 plane -Vertical and horizontal lines Standard 3.1 -Linear graphs for data Standard 3.1