Grade 4 Big Ideas •Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms. •Some questions can be answered by collecting, representing, and analyzing data, and the question to be answered determines the data to be collected, how best to collect it, and how best to represent it. •The likelihood of an event occurring can be described numerically and used to make predictions. •The same number sentence (e.g., 12 – 4 = 8) can be associated with different concrete or real-world situations AND different number sentences can be associated with the same concrete or real-world situation. •Numerical quantities and calculations can be estimated by using numbers that are close to the actual values, but are easier to compute with. •Some attributes of objects are measurable e.g., length, mass, capacity, and can be quantified. •Measures can be estimated by using known referents. SCASD K-5 Mathematics Curriculum Document 2010-2011

revised Feb. 24, 2011

•Patterns exhibit relationships that can be extended, described, and generalized. •There are some mathematical relationships that are always true and these relationships are used as the rules of arithmetic and algebra and are useful for writing equivalent forms of expressions and solving equations and inequalities. •2- and 3-Dimensional objects can be described, classified, and analyzed by their attributes, and their location can be described quantitatively. •Spatial reasoning and visualization are ways to orient thinking about the physical world. Grade 4 Standard Area 2.1 •Numbers, Number Systems, and Number Relationships PA Standard

Common Core Standard

Achievement Indicators

•Compare and/or order whole numbers through 6 digits and amounts of money to $100. (M4.A.1.2.2) •Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < through six digits. 2.1.4.A Apply number patterns 4.OA.3 Generate and analyze patterns. •Locate/identify fractions or decimals on a number line (decimals and fractions and relationships to count and 4.NF.2 Build fractions from unit fractions through the hundredths-do not mix fractions and decimals). (M4.A.1.2.1) compare values of whole numbers by applying and extending previous *fractions through twelfths. and simple fractions, and understandings of operations on whole •Compare fractions and decimals using greater than (>), less than (