Focus: Factors, Multiples, and Arrays N1D4 Classify and describe numbers by their characteristics, including odd, even, and multiples Classify numbers according to specific attributes (negative, positive, equivalent, divisors/factors). List common multiples and divisors/factors of a given number Find common multiples of given numbers. Apply rules of divisibility for 3. Identify sets and overlapping regions (using Venn diagrams with two strings) of numbers (multiples of 3, 4, 6, 7, 8, 9, positive divisors/factors). N2A4 Represent and recognize multiplication using various models, including sets and arrays. N2C4 Apply commutative and identity properties of multiplication to whole numbers. A2B4 Apply the commutative property of multiplication to whole numbers. A2A4 Represent a mathematical situation as an expression or number sentence Solve open sentences involving division (? ÷ 4 = 15). N3B4 Demonstrate fluency with basic number relationships (12x12) of multiplication and division. Recall 100 basic multiplication facts in four minutes Focus: Data Analysis and Probability D1A4 Collect data using observations, surveys and experiments Gather data and construct, charts, D1C4 Create tables or graphs to represent categorical and numerical data (including line plots). Construct tables, charts, and graphs (line, double bar, scatter point). Read and interpret double bar and scatter point graphs. D2A4 Describe important features of the data set. (range, outliers, median, mean and mode) Find the mean of a set of objects by balancing. D3A4 Given a set of data, propose and justify conclusions that are based on that data. Summarize and compare sets of data. Determine truth of statements (at most, at least, all, some, none, every, exactly). D4A4 Apply basic concepts of probability Analyze probability pictorially to find all of the outcomes and represent them in fractional form. Extend probability (such as 3 out of 4) to large numbers of trials (such as 100). GLE”s/ Objective Focus: Multiplication and Division N3A4 Represent a mental strategy used to compute a given multiplication problem (up to 2digit by 2-digit multiple of) N3C4 Apply the strategy used to compute a given multiplication problem up to a 2-digit by a 2digit Multiply whole numbers with up to four digits by one digit and two digit by two digit numbers without regrouping. N3C4 Apply and describe the strategy used to compute a given division problem up to a 3-digit by 1-digit Explain division in a variety of ways using concrete objects, repeated subtraction, pictures, diagrams, etc. Estimate quotients to three digit by one digit division problems. N3D4 Estimate and justify the results of multiplication of whole numbers Estimate products with up to four digits by one digit and two digit by two digit numbers with and without regrouping. Round numbers to the nearest ten, hundred, and thousand. Focus: 2D Geometry and Measurement G1A4 Identify and describe attributes of 2- dimensional shapes ( parallelism, perpendicularity) Identify properties of lines (parallel and perpendicular) Identify sets and overlapping regions (using Venn diagrams with two strings) (including negations) G1C4 Describe the results of sub dividing, combining and transforming shapes G2A4 Describe movement using common language and geometric vocabulary (forward, back, left, right, north, south, east, west). Calculate distances on maps and grids using given map scale. G3A4 Predict the results of sliding/translation, flipping/reflecting or turning/rotating around the center point of a polygon Predict the effects of rotating a figure. G3C4 Construct a figure with multiple lines of symmetry and identify the lines of symmetry. Create figures with a specified line of symmetry. Identify shapes with rotational symmetry. M1A4 Identify and justify the unit of linear measure including perimeter (customary and metric). M1C4 Tell time to the nearest minute. Tell and record time to the nearest minute Solve problems involving time duration to the nearest minute. M2A4 Select and use benchmarks to estimate measurements (linear...) Estimate, measure, and compare length (millimeter, eighth-inch) M2B4 Select and use benchmarks to estimate measurements of 0-, 45-, 90 degree angles. Classify angles (acute, obtuse). M2C4 Determine the area of a polygon on a rectangular grid. Using graph paper, construct triangles and quadrilaterals of specified areas. Estimate and count to find the area of regular and irregular shapes on grid paper to the nearest half unit using diagonals. Estimate and measure to find the perimeter of regular and irregular shapes to the nearest half unit. GLEs / Objectives Focus: Addition, Subtraction, and the Number System N1A4 Read, write, and compare whole numbers up to 6 digits. Model, read, write, spell, and order numbers from –1,000 to 1,000,000, in a variety of ways and identify the place value of each digit. Compare integers (-1,000 to 1,000,000) using appropriate mathematical notation (<, =, >, ≠) and terminology (less than, equal, greater than, not equal) N1C4 Recognize equivalent representations for the same number and generate them by decomposing and composing numbers. Mentally compute multi-step +, -, and x equations, with up to five numbers (<100) in a sequence. N2C4 Apply properties of operations. Apply the associative property of addition. N3C4 Develop and demonstrate fluency Recall basic addition facts in three minutes. Recall basic subtraction facts in three minutes Focus: Fractions and Decimals N1A4 Read, write, and compare decimals to the hundredths place. Read, write, model, identify, and explain mixed numbers. Model, read, write, spell, and order decimals to hundredths, in a variety of ways and identify the place value of each digit. Compare decimals (up to hundredths), using appropriate mathematical notation (<, =, >, ≠) and terminology (less than, equal, greater than, not equal) N1B4 Use models, benchmarks (0, size of fractions. Generate equivalent fractions 1 2 , and 1) and equivalent forms to judge the N3D4 Estimate and justifythe results of multiplication of whole numbers Estimate and multiply decimal numbers by single digits, 10, 100, and 1000. Estimate sums and differences and add and subtract (without regrouping) proper fractions with like denominators. Estimate and multiply proper fractions by whole numbers. M1B4 Identify equivalent linear measures within a system of measurement. Convert among metric units (milli, centi, kilo) by moving the decimal point. M1D4 Determine change from $10.00 and add and subtract money values to $10.00. Make change from $10.00. Focus: 3D Geometry and Measurement M2A4 Select and use benchmarks to estimate measurements ( capacity, weight) Estimate, measure, and compare volume (milliliter). G1A4 Identify and describe attributes of 3-dimensional shapes (prisms, cones Classify three-dimensional shapes according to their attributes (faces, edges, vertices). G4A4 Given a picture of a prism, identify the shapes of the faces. Draw three-dimensional figures from varying perspectives (top, bottom, side viewpoints). Focus: Multiplication and Division N3B4 Demonstrate fluency with basic number relationships (12x12) of division Recall basic division facts in five minutes. N3C4 Apply and describe the strategy used to compute a given multiplication problem up to a 2-digit by a 2-digit Estimate products and multiply whole numbers with up to two digit by two digit numbers with regrouping. N3C4 Apply the strategy used to compute a given division problem up to a 3digit by 1-digit A3A4 Model problem situations, using representations such as graphs, tables or number sentences Create and solve (using estimation, mental computation, calculator, paper/pencil) word problems to represent division equations. Focus: Patterns, Functions, and Change A1A4 Describe geometric and numeric patterns A1B4 Analyze patterns using words, tables and graphs. A4A4 Describe mathematical relationships in terms of constant rates of change