I can fluently multiply within 100 using strategies and properties. (i.e., associative property of multiplication; basic facts) I/E R R

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1 FOURTH GRADE BROKEN ARROW MATH Operations and Algebraic Thinking: Use the four operations with whole numbers to solve problems *BA 1 I can explain how a multiplication equation can be used to compare. (i.e., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5) *BA 2 I can multiply or divide to solve word problems that use multiplication to compare. (i.e., this can be accomplished by using drawings and equations with a symbol for the unknown number 3 x = 18) BA/PASS 1:2 I can solve multistep word problems using the four operations. I can interpret the meanings of remainders. I can represent problems using equations with a letter standing for the unknown quantity (variable). I can decide if my answer makes sense using mental math, estimation, and rounding. Operations and Algebraic Thinking: Gain familiarity with factors and multiples BA/PASS 1:3; BA/PASS 2:2b(i) NE I E I can fluently multiply within 100 using strategies and properties. (i.e., associative property of multiplication; basic facts) I can fluently divide within 100 using strategies and properties such as associating with like multiplication facts. *BA 3 I can find factor pairs for whole numbers I can recognize a whole number as a multiple of each of its factors. I can decide whether a whole number (1-100) is a multiple of a given one-digit number. I can determine if a whole number (1-100) is prime or composite. Operations and Algebraic Thinking: Generate and analyze patterns BA/PASS 1:1 I can create a number or shape pattern that follows a given rule and identify characteristics that are not part of the rule. I can discover, describe, extend, and create a wide variety of patterns using tables, graphs, rules, and verbal models (i.e., determine the rule from a table or function machine, extend visual and number patterns) I E R 1

2 Number and Operations in Base Ten: Generalize place value understanding for multi-digit whole numbers BA/PASS 2:1 a (i) BA/PASS 2:1b (i) I can apply the concept of place value through 6 digits understanding that a digit represents ten times what it would be to its right. (i.e., write numbers in expanded form) I can read and write multi-digit whole numbers using numerals, number names, and expanded form. I can compare and order two multi-digit whole numbers using >,< and =. *BA 4 I can round multi-digit whole numbers to any place. Number and Operations in Base Ten: Use place value understanding and properties of operations to perform multi-digit arithmetic *BA 5 I can fluently add and subtract multi-digit numbers. BA/PASS 2:2a I can multiply a four digit whole number by a one digit whole number using strategies and properties of operations to solve application problems. I can represent and explain the calculation using an equation, rectangular array, and/or area models. PASS 2:2b (ii) BA/PASS 2:2b (iii) I can estimate the quotient with one- and two-digit divisors and a two- or three-digit dividend to solve application problems. I can apply strategies to find whole-number quotients (with or without remainders) with up to four-digit dividends and one-digit divisors. I can represent and explain the calculation using an equation, rectangular array, and/or area models. Number and Operations-Fractions: Extend understanding of fractions equivalence and ordering *BA 6 I can explain why fractions are equivalent using fraction models. I can recognize and create equivalent fractions. *BA 7 I can compare two fractions with different numerators and denominators using >, <, and =. I can show the comparison using a fraction model from the same whole. 2

3 Number and Operations-Fractions: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers BA/PASS 2:1b(iii) I can compare, add, or subtract fractions with like denominators using physical or pictorial models. *BA 8 *BA 9 I can break apart a fraction into a sum of fractions with the same denominator in more than one way. (i.e., 3/8 = 1/8 +1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = /8 = 8/8 + 8/8 + 1/8) I can record each sum of fractions using an equation. I can prove my equation using a fraction model. I can add mixed numbers with like denominators. I can subtract mixed numbers with like denominators. NE I E *BA 10 I can solve word problems using addition of fractions with the same denominator. I can solve word problems using subtraction of fractions with the same denominator. *BA 11 I can use a visual fraction model to show that fractions have multiples. (i.e., use a visual fraction model to represent 5/4 as the product 5 x 1/4, recording the conclusion by the equation 5/4 = 1 1/4) *BA 12 I can begin to use a fraction model to multiply a fraction by a whole number. NE NE I *BA 13 I can begin to use fraction models to solve word problems involving multiplication of a fraction by a whole number. NE NE I Numbers and Operations-Fractions: Understand decimal notation for fractions, and compare decimal fractions. BA/PASS 2:1a(ii) *BA 14 I can model, read, write and rename decimal numbers to the hundredths and relate those to fractions with denominators of 10 or 100. I can make an equivalent fraction for tenths as hundredths. I can make an equivalent fraction for tenths as hundredths; therefore I can add fractions for tenths and hundredths. I E R 3

4 BA/PASS 2:1b(i) I can compare two decimals to hundredths according to their size using <, > and =. I can show the comparison when the two decimals are from the same whole. PASS 2:1b (ii) I can prove the results using a visual model. I can use 0, 1/2, and 1 or 0, 0.5, and 1 as benchmarks and place additional fractions, decimals, and percents on a number line (i.e., 1/3, ¾, 0.7, 0.4, 62%, 12%) NE I E Measurement and Data: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit PASS 4:1a I can estimate the measures of a variety of objects using customary units. NE NE R PASS 4:1b I can relate metric units to everyday objects to estimate the measures of a variety of objects. (i.e., mass; the mass of the raisin is about 1 gram, length; the width of a finger is about 1 centimeter) PASS 4:1c I can select appropriate customary and metric units of measure and measurement instruments to solve problems involving length, weight, mass, area, and volume. *BA 15 I can determine the relative sizes of measurement within one system of units. (i.e., km, m, cm; kg, g; lb., oz.; 1, ml; hr., min, sec.) I can convert measurements from a larger unit to a smaller unit or smaller unit to larger unit within the same system. (i.e., a 4 ft. snake as 48 in.) NE NE R NE NE R *BA 16 BA/PASS 4:1d I can use the four operations to solve word problems including distance, time, volume, mass, and money. I can express measurements in a larger unit in terms of smaller units using simple fractions or decimals. (i.e., an inch is 1/12 of a ft.) I can use grids to develop and use the concept of area of different shapes to solve problems. I can use the area and perimeter formulas in real world math problems. (i.e., tile needed to floor a room 8 ft. by 12 ft.) 4

5 Measure and Data: Time, Temperature, and Money PASS 4:2a I can solve elapsed time problems. PASS 4:2b I can read thermometers using different intervals and solve for temperature change. PASS 4:3 I can determine the correct amount of change when a purchase is made with a twenty dollar bill. Measurement and Data: Represent and Interpret Data PASS 5:1a I can read, interpret, and ask and answer questions about data displays such as tallies, tables, charts, and graphs. BA/PASS 5:1b PASS 5:2 I can collect, organize, and record data in tables and graphs such as line graphs, bar graphs, pictographs. (i.e., make a line plot using fractional units to solve problems) I can predict the probability of outcomes of simple experiments using words such as certain, equally likely, impossible. PASS 5:3 I can determine the median, mode, and the range of a set of data. Measurement and Data: Geometric measurement: Understand concepts of angle and measure angles *BA 17 I can use degrees to measure angles. *BA 18 I can read the degree of an angle. *BA 19 I can use a protractor to construct and measure angles. *BA 20 I can recognize the sum of the angle parts is equal to the whole angle. I can solve addition and subtraction problems with unknown angles on a diagram. Geometry: Draw and identify lines and angles, and classify shapes by properties of their lines and angles PASS 3:1 I can identify, draw, and construct models of intersecting, parallel, and perpendicular lines. BA/PASS 3:2 I can recognize and identify right angles. I can identify and compare angles equal to, less than, or greater that a right angle of 90 degrees. 5

6 BA/PASS 3:3 PASS 3:4 *BA 21 I can draw geometric figures. (i.e., draw points, lines, line segments, angles (right, acute, obtuse), and perpendicular and parallel lines) I can use two- and three-dimensional figures to identify geometric terms. (i.e., regular and irregular polygons including triangles, quadrilaterals, pentagons, hexagons, heptagons, and octagons; solid figures such as cylinders, spheres, rectangular prisms, etc.) I can describe the effects on two-dimensional objects when they slide (translate), flip (reflect), and turn (rotate). I can recognize a line of symmetry. I can identify a figure with a line of symmetry. I can draw a line of symmetry. KEY: (PASS) = PASS skill; *(BA) = BA skill added to increase rigor; (BA/PASS) = PASS skill currently aligned with BASOI 6

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