3rd Grade 3rd Quarter Standards Topic Fractions Fractions represented on a Number line Fraction represented on a Number line Fractions represented on a Number line CCSS 3.NF.A.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. 3.NF.A.2 Represent a fraction 1/b on a number line diagram. 3.NF.A.2.a Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has a size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line. 3.NF.A.2b Represent a fraction a/b on a number line diagram by marking off Created by the IZone Mathematics Department – October 2014 SPI Correlation 3rd Grade 3rd Quarter Standards Equivalent Fraction a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line. 3.NF.A.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. SPI 0306.2.12 Name fractions in various contexts that are less than, equal to, or greater than one. Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards SPI 0306.2.13 Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators. 1. Which list shows fractions in order from least to greatest? A. 1 , 4 1 B. 2 , 1 2 1 1 , 5 1 D. 1 1 4 5 Created by the IZone Mathematics Department – October 2014 1 5 1 ,5 4 C. , 4 , , , 1 2 1 2 3rd Grade 3rd Quarter Standards Equivalent Fractions 3.NF.A.3.a Understand two fractions as SPI 0306.2.10 equivalent (equal) if they are Identify equivalent fractions given by various representations. the same size, or the same point on a number line. SPI 0306.2.12 Name fractions in various contexts that are less than, equal to, or greater than one. SPI 0306.2.13 Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators. Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards Equivalent Fractions 3.NF.A.3.b Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model. SPI 0306.1.4 Match the spoken, written, concrete, and pictorial representations of fractions with denominators up to ten. 19. Four out of ten students in a science club are boys. Which fraction shows another way to write four out of ten? 10 A. 4 B. C. D. Created by the IZone Mathematics Department – October 2014 4 4 4 6 4 10 3rd Grade 3rd Quarter Standards SPI 0306.2.10 Identify equivalent fractions given by various representations. 15. The picture shows 6 9 of the baskets with a basketball. 6 Which Fraction is equivalent to ? 9 A. 1 B. 1 C. 1 D. 2 9 3 2 3 Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards SPI 0306.2.11 Recognize and use different interpretations of fractions. Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards WholeNumbers Expressed as Fractions 3.NF.A.3.c Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram. SPI 0306.2.12 Name fractions in various contexts that are less than, equal to, or greater than one. 41. Gabriel had one whole pizza. The pizza was divided into equal-sized slices. Some of the slices were topped with pepperoni, but not all of them. Which fraction could represent the part of the pizza that was topped with pepperoni? A. 3 10 B. 10 C. 10 D. 10 10 7 1 Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards SPI 0306.2.13 Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators. 33. Which fraction is closest in value to 1 whole? 4 A. 6 B. 2 C. 7 6 D. Fraction with like denominators 3.NF.A.3.d Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. 6 3 6 SPI 0306.2.13 Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators. 33. Which fraction is closest in value to 1 whole? A. B. C. D. 3 4 3 5 3 6 3 7 Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards Multiplying and Dividing Whole Numbers 3.OA.A.2 SPI 0306.2.5 Interpret whole number Identify various representations of multiplication and quotients of whole numbers. division. 20. Which model best represents the expression 16÷4? Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards Two-Step Word Problems Patterns 3. OA.D.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. SPI 0306.3.2 Express mathematical relationships using number sentences/equations. 13. Yesterday Patrick walked 12 laps around a track. Today he walked 6 laps around the track. Which number sentence could be used to find the difference between the numbers of laps Patrick walked on these two days? 3. OA.D.9 Identify arithmetic patterns (including patterns in the addition or multiplication tables), and explain them using properties of Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards operations. Measuring and Estimating Liquid 3.MD.A.2 Measure and estimate liquid volumes and masses of objects using standard units of grams (g),kilograms (kg), and liters (l).1Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem. SPI 0306.4.5 Choose reasonable units of measure, estimate common measurements using benchmarks, and use appropriate tools to make measurements. 34. Ella filled four objects with water. Which of the objects Ella filled could be measured in gallons? Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards Measuring halves and fourths with a ruler 3.MD.B.4 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters. SPI 0306.4.6 Measure length to the nearest centimeter or half inch. 25. Use the inch side of your ruler to help you solve this problem. A picture of a bookmark is shown below. What is the length of this picture, to the nearest half inch? 1 A. 3 2 B. 4 1 2 C. 9 D. 10 Standards in red are repeated from previous quarters. Created by the IZone Mathematics Department – October 2014 3rd Grade 3rd Quarter Standards Common Core State Standards Resources http://www.corestandards.org/Math/ (list of the standards) www.tncore.org (math tasks) http://maccss.ncdpi.wikispaces.net/home (unpacking the standards and examples) https://www.engageny.org/resource/new-york-state-common-core-sample-questions (sample questions) https://learnzillion.com/ (common core standards lessons) Learn Alberta (video lessons and assessments) Created by the IZone Mathematics Department – October 2014