QUARTER 1 Problem Solving Strategies Objectives - The student will demonstrate the ability to: a. Select and then apply appropriate strategies to solve a problem from visual (draw a picture or diagram, create list, table or graph, act it out, use manipulatives, use spatial reasoning), numerical (guess and check, look for a pattern) symbolic (write an equation or number sentence, working backwards) perspectives. Number Relationships and Computation – Number Theory and Place Value Objectives - The student will demonstrate the ability to: a. Read and write whole numbers to millions and decimals through thousandths in standard and expanded form. b. Round whole numbers and decimals to any stated place value. c. State the value of each digit in a whole number through millions and a given decimal numeral through thousandths. d. Explore patterns found in ancient number systems including Roman and Egyptian. e. Compare, order, and describe decimals with or without using relationship symbols (<, >, =, ≠) and by placing decimals on a number line. f. Examine relationships among metric units of length (mm, cm, m). g. Estimate and measure length, using metric units. Select and use appropriate tools and units. h. Identify and describe the characteristics of numbers divisible by 2, 3, 4, 5, 6, 9, and 10. i. Identify prime and composite numbers through 100. j. Identify factors and prime factors using factor trees. k. Identify multiples. l. Identify and define perfect squares and their square roots. m. Write exponents to express powers of numbers and convert powers of numbers to standard form. n. Explore writing numerals in expanded form using exponential notation. o. Explain and apply the order of operations to evaluate numerical expressions using whole numbers. Number Relationships and Computation (Whole Numbers and Decimals) Objectives - The student will be able to: a. Estimate and calculate sums and differences of whole numbers and decimals using appropriate method of computation (mental mathematics, use of a calculator, use and discovery of alternate algorithms. b. Apply addition and subtraction of whole numbers and decimals to money. c. Multiply multiples of 10 by a one-or two-digit factor using mental computation. d. Estimate and calculate products of whole numbers using appropriate method of computation (mental mathematics, use of a calculator, use and discovery of alternate algorithms.) e. Estimate and calculate quotients of multiples of 10 by multiples of 10 using mental computation. f. Estimate and divide whole numbers with 1 and 2-digit divisor using appropriate method of computation (mental mathematics, use of a calculator, use and discovery of alternate algorithms.) g. Identify and apply identify, zero, commutative, associative, and distributive properties. h. Interpret the meaning of a remainder in a problem-solving situation and justify in writing. i. Select operations and appropriate symbols to solve multi-step problems, including problems involving perimeter and area.