REPUBLIC OF THE MARSHALL ISLANDS PUBLIC SCHOOL SYSTEM CONTENT STANDARDS AND PERFORMACE INDICATORS

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1 Page 1 Kindergarten STANDARD 1 Number Sense, Operations, Mental Computation and Estimation - Students will develop number sense and an understanding of numbers and operations By the end of Kindergarten students will be K.1.1 Know number names, the count sequence and compare numbers Students will be achieving the outcome for example, when they: Spell orally from 1 to 5 in Marshallese. Count from 0 to twenty and read and write these numerals. Count by 2s and 5s up to 20. count to 100. Count by 10s up to 100. Count from any given number to 100. Count back from 10. Count using a number line. Identify attributes that are the same and different in a set of objects or pictures. Compare two sets using one-to-one correspondence. Use the counting sequence to find one ore and one less than a given number. Compare numbers up to 20. Understand fewer, less, more and fewest, most. Recognize and understand number trains. Grade K: Teacher s Edition Chapter 1 Lessons 1, 3, 4 and 5 Chapter 2 Lessons 1, 2, 3 and 4 Chapter 4 Lessons1 and 3 Chapter 6 Lessons 1, 2, 3.and 4 Chapter 8 Chapter 12 Lessons 1 and 2 Chapter 1 Lesson 2, 3, 4, and 5 Chapter 2 Lesson 3, 4, 5 and 6 Chapter 4 Lesson 4, 5 and 6 Chapter 6 Lesson 5 Chapter 9 Lesson 1,2 and 3 Chapter 12 Lesson 3 K.1.2 Add and subtract numbers Compare and decompose numbers to 20 and understand facts. Write addition and subtraction sentences and represent addition and subtraction stories. Addition facts and subtraction facts to 5. Chapter 4 Lesson 1 Chapter 9 Lesson 4 Chapter 14 Chapters 17 and 18

2 Page 2 Kindergarten STANDARD 1 Number Sense, Operations, Mental Computation and Estimation - Students will develop number sense and an understanding of numbers and operations By the end of Kindergarten students will be K.1.3 Use ordinal numbers Students will be achieving the outcome for example, when they: Understand first, second, third and last to sequence events addition and subtraction stories. Addition facts and subtractions facts to 5. Grade K: Teacher s Edition Chapter 10 Lessons 1 and 2 K.1.4 Understand how to use pennies, nickels, and dimes to purchase objects less than 10 Recognize and know the value of a penny, nickel, dime and quarter. Add coins up to 10. Use 1 coins to buy up to three objects (up to 10 ). Recognize different combinations of coins that make up to 10. Chapter 20

3 Page 3 Kindergarten STANDARD 2 Geometry and Measurement Concepts - Students will name, describe, measure, and compare geometric shapes and their properties. By the end of Kindergarten students will be K.2.1 Identify and describe plane shapes and solid shapes Student s will be achieving this outcome for example, when they: Recognize big and small things. Identify positions of objects in space and use appropriate positional language to describe and compare. Recognize and name basic solid shapes (cube, cone, cylinder, sphere, and pyramid) Understand that some shapes have flat faces, edges, and corners and some do not. Recognize and name basic flat shapes (circle, triangle, square, rectangle, and hexagon). Recognize the relationship between sold shapes and flat shapes. Draw flat shapes revisiting big and small. Make a picture using basic flat shapes Grade K: Teacher s Edition Chapter 5 Lesson 1, 2, 3, and 4 Chapter 7 Lesson 1 Chapter 7 Lesson 2, 3, and 4 K.2.2 Sort and classify objects by one, two or three attributes. Classify objects according to one, two, or three attributes (color, size, shape, special features). Identify objects that do not belong to a set. Chapter 16 Lesson 1 and 2 K.2.3 Measure length, height, weight, capacity time. Compare and order objects by size, length, and weight through sight and feel. Use comparing words. Compare length and height using the words, long, longer, longest, short, shorter, shortest, tall, taller, and tallest. Measure and compare lengths and heights using nonstandard units. Chapter 3 Lesson 1, 2, 3, and 4

4 Page 4 Kindergarten STANDARD 2 Geometry and Measurement Concepts - Students will name, describe, measure, and compare geometric shapes and their properties. By the end of Kindergarten students will be K.2.3 Measure length, height, weight, capacity time. (continued). Student s will be achieving this outcome for example, when they: Compare weight using the words, heavy, heavier, light, and lighter. Compare weight using nonstandard units. Compare containers according to capacity. Use the terms holds more, holds less, and holds the same amount. Compare events according to duration. Grade K: Teacher s Edition Chapter 19 Lesson 1 Chapter 19 Lesson 2 Chapter 19 Lesson 3 STANDARD 3 Patterns, functions, and algebra concepts - Students will describe patterns and represent them with tables, graphs, equations, and verbal ruled. K.3.1 Understand patterns. Identify and extend a shape pattern. Recognize the names of the days of the week and months of the year. Recognize the pattern in the days and months. Chapter 7 Lesson 5 Chapter 11 Lesson 1 and 2 Chapter 13 Lesson 1 STANDARD 4 analyze situations. Statistics and probability concepts - Students will use data analysis, statistics and probability to K.4.1 Make picture graphs. Make picture graphs based on preferences. Chapter 10 Lesson 1

5 Page 5 Grade 1 STANDARD 1 Number Sense, Operations, Mental Computation and Estimation - Students will develop number sense and an understanding of numbers and operations By the end of Kindergarten students will be Count and compare numbers. Describe order. Students will be achieving the outcome for example, when they: Spell orally from 1 to 10 in Marshallese. Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral. Use place- value chart to show numbers up to 120 Compare numbers up to 100 using place value recording the results of comparisons with the symbols >, =, and <. Make number patterns. Show parts and whole using number bonds. Describe order using ordinal numbers and position using numbers and words. Grade 1: Teacher s Edition Chapter 1 Lesson 1 Chapter 7 Lesson 1 and 2 Chapter 12 Lesson 1 and 2 Chapter 16 Lesson 1, 1a, and 2 Chapter 1 Lesson 2 and 3 Chapter 7 Lesson 3 and 4 Chapter 12 Lesson 3 Chapter 16 Lesson 3 and 3a Chapter 2, 3, 4, and 8 Chapter Use place value understanding and properties of operations to add and subtract. Add two numbers to 100. Subtract 1- or 2-digit numbers to 100 without and with regrouping. Solve realworld addition and subtraction problems. Use number bonds to add or to subtract. Make fact families. Chapter 3, 4, 8, 13, 14, and 17 Chapter 3, 4, and Multiply by adding equal groups and divide by sharing equally or putting things into equal groups. Relate repeated addition to the concept of multiplication and find the total number of items in groups of the same size. Relate sharing equally to the concept of division and find the number of items in each group when sharing equally. Use objects or pictures to show the concept of division as finding the number of equal groups. Chapter 18 Lesson 1 \

6 Page 6 Grade 1 STANDARD 1 Number Sense, Operations, Mental Computation and Estimation - Students will develop number sense and an understanding of numbers and operations By the end of Grade 1 students will be Show and count coins. Add and subtract money. Students will be achieving the outcome for example, when they: Recognize and name penny, nickel, dime, and quarter. Exchange a coin for a set of coins of equal value. Use different combinations of coins to buy things. Count money in cents up to $1 using the "count on" strategy Add to find the cost of items. Subtract to find the change. Solve real-world problems involving addition and subtraction of money Math in Focuc Grade 1 : Teacher s Edition Chapter 19 Lesson 1, 2, and 3 Chapter 19 Lesson 4

7 Page 7 Grade 1 STANDARD 2 geometric shapes and their properties By the end of grade 1 students will be Explore, identify, and compare plane and solid shapes. Geometry and Measurement Concepts - Students will name, describe, measure, and compare Students will be achieving the outcome for example, when they: Identify, classify, and describe plane and solid shapes. Make same and different shapes. Divide shapes into two and four equal parts (half of~, quarter of~). Describe the whole as the sum of its parts. Understand that dividing a whole into more equal parts creates smaller parts. Combine and separate plane and solid shapes. Identify plane and solid shapes in real life. Grade 1: Teacher s Edition Chapter 5 Lesson 1, 1a, 2, 3, and Compare the height and length of more than two things. Measure and compare using non-standard units. Compare two and more than two lengths using the terms tall/taller/tallest, long/longer/longest, and short/shorter/shortest. Compare two lengths by comparing each with a third length. Use a common starting point when comparing lengths. Measure lengths using non-standard units. Understand that using different non-standard units may give different measurements for the same item. Use the term "unit" to describe length. Count measurement units in a group of ten and ones (e.g. 14 is 10 and 4). Chapter 9

8 Page 8 Grade 1 STANDARD 2 Geometry and Measurement Concepts - Students will name, describe, measure, and compare geometric shapes and their properties. By the end of Grade 1 students will be Compare the weights of more than two things. Measure and compare using non-standard units. Students will be achieving the outcome for example, when they: Compare the weight of two and more than two things using the terms heavy/heavier/heaviest, light/lighter/ lightest, and as heavy as. Find and compare weight of things using a non-standard object as a unit of measurement. Use the term "unit" when writing the weight of things. Explain why there is a difference in a measurement when using different non-standard units. Arrange things according to their weights. Grade 1: Teacher s Edition Chapter Tell and write time. Use the term o clock to tell the time to the hour. Read and show time to the hour and half hour on a clock and a digital clock. Use the tern half past. Relate time to daily activities. Chapter 15 Lesson 2, 2a, 3, and 3a

9 Page 9 Grade 1 STANDARD 3 Patterns, Functions, and Algebra Concepts - Students will describe patterns and represent them with tables, graphs, equations and verbal rules. By the end of Grade 1 students will be Make and extend repeating patterns with plane and solid shapes Students will be achieving the outcome for example, Grade 1 Teacher s Edition when they: Use plane and solid shapes to identify, extend, and create patterns. Chapter 5 Lesson 5 and 6 STANDARD 4 Statistics and probability concepts - Student s will use data analysis, statistics and probability to analyze situations. By the end of Grade 1 students will be Read and interpret picture graphs, tally charts, and bar Students will be achieving the outcome for example, when they: Collect and organize data. Show data as a picture graph. Understand the data show in a picture graphs using symbols. Draw picture graphs. Make a tally chart. Show data in a bar graph. Understand data show in a bar graph. Chapter 11

10 Page 10 Grade 2 STANDARD 1 Number Sense, Operations, Mental Computation and Estimation - Students will develop number sense and an understanding of numbers and operations By the end of Grade 1 students will be Count and compare numbers to 1,000. Students will be achieving the outcome for example, Grade 2 Teacher s Edition when they: Write from 1 to 10 in Marshallese, Chapter 1 Lesson 1 and 2 Count on by 1s,10s, and 100s to 1,000. Use base-ten blocks and a place-value chart to read, write, and represent numbers to 1,000. Read and write numbers to 1,000 in standard form, expanded form, and word form. Use base-ten block to compare numbers and express the relation using the terms greater than and less than or symbols > and <. Order three-digit numbers and identify the greatest number and the least number. Identify number patterns. Chapter 1 Lesson 3 and Add and subtract three- digit numbers with and without regrouping to 1,000. Add up to three-digit numbers with and without regrouping using base-ten blocks. Solve real-world addition problems. Subtract from three-digit numbers with and without regrouping using base-ten blocks. Apply the inverse operations of addition and subtraction. Subtract across zeros (eg ). Solve real-world subtraction problems Solve multi-digit addition and subtraction problems including real-world problems by using a bar model. Chapter 2 Chapter 3 Chapter 4

11 Page 11 Grade 2 STANDARD 1 Number Sense, Operations, Mental Computation and Estimation - Students will develop number sense and an understanding of numbers and operations By the end of Grade 2 students will be Add and subtract three- digit numbers with and without regrouping to 1,000. (continued) Focus in Math Grade 2 Teacher s Edition Understand the meaning of sum and difference. Develop mental math strategies using number bonds to add and subtract two- and three-digit numbers with and without regrouping. Round numbers to estimate sums and differences and check for reasonableness of answers. Chapter Understand the concept of multiplication and division. Understand the concept of multiplication as repeated addition and division as grouping or sharing. Use objects and pictures to show the concept of division as finding the number of equal groups. Multiply and divide with tables of 2,3,4,5 and 10 using models and known multiplication facts. Solve multiplication and division word problems. Make groups of 2 to find odd and even numbers. Understand that an even number is the sum of two equal numbers. Use bar models to solve multiplication and division problems on measurement and money. Chapter 5 Lesson 1, 2, and 3 Chapter 6 Chapter 15 Chapter 5 Lesson 2A Chapter 16

12 Page 12 Grade 2 STANDARD 1 Number Sense, Operations, Mental Computation and Estimation - Students will develop number sense and an understanding of numbers and operations By the end of Grade 2 students will be Show and count money amounts in bills and coins. Recognize bills up to $20. Show and count money using coins and bills to $20. Write money amounts using $ and. Compare amount of money using tables. Use bar models to solve real-world problems involving addition and subtraction of money. Focus in Math Grade 2 Teacher s Edition Chapter 11 Lesson 1 Chapter 11 Lesson 2 Clapter 11 Lesson 3 and 3a Understand the concept of fraction of halves, thirds, and fourths. Identify whether a shape is divided into equal fractional parts. Read, write, and identify unit fractions for halves, thirds, and fourths. Show fractions and a whole using model drawing. Compare two or more unit fractions using models of the same size. Order two or more unit fractions with or without the use of models of the same size. Identify fractions that name more than one equal part of a whole. Use models to add and subtract fractions. Add or subtract like fractions. Chapter 12 Lesson 1 Chapter 12 Lesson 2 Chapter 12 Lesson 3

13 Page 13 Grade 2 STANDARD 2 Geometry and measurement concepts - Students will name, describe, measure, and compare geometric shapes and their properties. By the end of Grade 2 students will be Measure, estimate, and compare lengths, masses, and volumes in standard units. Students will be achieving this outcome when they, for Estimate length of objects by using meter sticks. Measure, compare length of objects by using meter sticks and a centimeter ruler. Draw parts of given metric length. Find the difference in lengths of objects in meters and centimeters. Solve one-step and two-step problems involving metric length. Draw models to solve real-world problems. Estimate length of objects by using foot rulers. Measure, compare length of objects to nearest. Draw parts of given customary length. Find the difference in lengths of objects in feet and inches. Solve one-step and two-step problems involving customary length. Draw models to solve real-world problems. Measure mass in kilograms and grams by using a measurement scale. Compare and order masses in kilograms and grams. Solve real-world problems about mass by using bar models. Explore and compare volume. Estimate, measure, and compare volume by using liters. Solve realworld problems about volume by using bar models. Grade 2 Teacher s Edition Chapter 7 Chapter 13 Chapter 8 Chapter 9

14 Page 14 Grade 2 STANDARD 2 Geometry and measurement concepts - Students will name, describe, measure, and compare geometric shapes and their properties. By the end of Grade 2 students will be Work with time. Students will be achieving this outcome when they, for Use the minute hand to show and tell the number for Chapter 14 every five minutes after the hour. Show and tell time in hours and minutes. Use A.M. and P.M. to show morning, afternoon, or night. Order events time. Determine how much time has passed. Grade 2 Teacher s Edition Identify properties of parts of plane shapes and solid shapes. Recognize, identify, and describe parts of lines and curves. Draw parts of lines and curves. Identify, classify, and count flat and curved surfaces. Identify solids that can stack, slide, and/or roll. Chapter 18 Lesson 1 Chapter 18 Lesson Identify, combine, and separate plane and solid shapes. Recognize and identify plane shapes. Combine and separate plane shapes in figures. Draw plane shapes and figures on dot paper and square grid paper. Recognize and identify solid shapes. Build models using solid shapes. Combine and separate solid shapes. Identify and count the equal faces on a cube. Chapter 19 Lesson 1 and 1a Chapter 19 Lesson 2 and 2a

15 Page 15 Grade 2 STANDARD 3 Patterns, functions, and algebra concepts - Students will describe patterns and represent them with tables, graphs, equations, and verbal rules. By the end of Grade 2 students will be Make and extend repeating patterns with plane and solid shapes. Students will be achieving this outcome when they, for Identify, describe, extend, and create patterns using different sizes, shapes, colors, and positions (turning). Grade 2 Teacher s Edition Chapter 19 Lesson 3 STANDARD 4 Statistics and probability concepts - Student s will use data analysis, statistics and probability to analyze situations. By the end of Grade 2 students will be Represent and interpret data. By the end of Grade 2 students will be Read, analyze, and interpret picture graphs. Complete picture graphs. Make picture graphs. Solve real -world problems using picture graphs. Make a line plot to show data. Grade 2 Teacher s Edition Chapter 17

16 Page 16 Grade 3 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 3 students will be Use place value understanding and properties of operations to perform multidigit arithmetic. Grade 3 Teacher s Edition Students will be achieving this outcome when they, for Write from 1 to 20 in Marshallese. Use base-ten blocks to count, read, and write numbers Chapter 1 Lesson 1 and 2 to 10,000. Count by 1s, 10s, 100s, and 1,000s to 10,000. Use base-ten blocks and a place-value chart to read, write, and represent numbers to 10,000. Read and write numbers to 10,000 in standard form, expanded form, and word form. Use place value understanding and base-ten blocks to compare and order numbers. Chapter 1 Lesson 3 Use place value understanding to round whole numbers to the nearest 10 or 100. Chapter 2 Lesson 4 Add and subtract 2-digit numbers mentally with or without regrouping. Chapter 2 Lesson 1, 2, and 3 Add 4-digit to 4-digit numbers up to 10,000 with or without regrouping. Chapter 3 Subtract 4-digit numbers up to 10,000 with or without regrouping. Chapter 4 Use bar models to solve one-step and two-step realworld problems involving addition and subtraction of numbers up to 10,000. Chapter 5 Lesson 1 Chapter 12 Lessons 1 and 2 Add and subtract money using regrouping if needed. Chapter 10 Solve up to two-step real-world problems involving addition and subtraction of money.

17 Page 17 Grade 3 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 3 students will be Use place value understanding and properties of operations to perform multidigit arithmetic. (continued) Students will be achieving this outcome when they, for Understand and use properties of multiplication (e.g. Commutative property, associative property, multiplicative property of One and Zero). Recall the multiplication table of last year (x2,x3,x4,x5) and complete the understanding till x9 using models. Apply the results to multiply mentally (e.g.5x300, 20x8).Multiply 2-digit and 3-digit numbers by a 1- digit number with and without regrouping. Divide with tables of 6,7,8, and 9 using models and understand related multiplication and division facts. Divide 2-digit and 3-digit numbers by a 1-digit number with and without regrouping and with and without remainder. Identify odd and even numbers using different strategies. Use bar models to solve one-step and two-step word problems involving division and multiplication. Choose the correct operations to solve the problems. Grade 3 Teacher s Edition Chapter 6 Lesson 1, 2, 3, 4, and 5 Chapter 7 Chapter 6 Lesson 6 and 7 Chapter 8 Chapter 9 Chapter Develop understanding of fractions as numbers. 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 and identify numerator and denominator. Chapter 14 Lesson 1

18 Page 18 Grade 3 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 3 students will be Develop understanding of fractions as numbers. (continued) Students will be achieving this outcome when they, for Identify equivalent fractions using models and a number line. Find equivalent fractions using multiplication and division and write fractions in simplest form. Compare and order fractions using picture models, number lines, or benchmark fractions (e.g.0, 1/2, 1). Add two or three like fractions with sums to 1. Subtract a like fraction from another like fraction or one whole. Read, write, and identify fractions of a set. Find the number of items in a fraction of a set. 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 he same point of a number line diagram. Grade 3 Teacher s Edition Chapter 14 Lesson 2 and 3 Chapter 14 Lesson 4 Chapter 14 Lesson 5 Chapter 14 Lesson 6 Chapter 14 Lesson 6.a

19 Page 19 Grade 3 STANDARD 2 Geometry and measurement concepts - Students will name describe, measure and compare geometric shapes and their properties. By the end of grade 3 students will be Measure and covert length, weight, and capacity in metric units and customary units. Solve real-world problems. Students will be achieving this outcome when they, for Use cm, m, and km as units to measure length. Convert units of measurement. Read scales in kilograms and grams. Find actual masses of objects by using different scales. Convert units of measurement, Find the volume of liquid in liters and milliliters. Find the volume and capacity of a container. Convert units of measurement. Use inch, foot, yard, and mile as units of measurement for lengths. Use referents to estimate lengths. Estimate and measure lengths in halves and fourths of an inch. Use ounce, pound, and ton as units of measurement for weight. Read scales in ounces (oz.) and pounds (lbs.). Estimate and find actual weights of objects by using different scales. Use referents to estimate weight. Measure capacity with cup (c), pint (pt.), quart (qtr.), and gallon (gal). Estimate and find the actual capacity of a container. Relate units of capacity to one another. Grade 3 Teacher s Edition Chapter 11 Lesson 1 and 2 Chapter 11 Lesson 3 Chapter 11 Lesson 4 Chapter 15 Lesson 1 and 1a Chapter 15 Lesson 2 Chapter 15 Lesson 3

20 Page 20 Grade 3 STANDARD 2 Geometry and measurement concepts - Students will name describe, measure and compare geometric shapes and their properties. By the end of grade 3 students will be Solve problems of time and temperature. Apply knowledge to real-world problems. Grade 3 Teacher s Edition Students will be achieving this outcome when they, for Tell time to the minute. Read time on a digital clock. Chapter 16 Change minutes to hours or hours to minutes. Add Lesson 1, 2, 3, 4, 5, and 7 and subtract time with and without regrouping. Find elapsed time. Solve up to two-step word problems on time. Read a Fahrenheit thermometer. Choose the appropriate tool and unit to measure temperature. Use a referent to estimate temperature. Solve word problems involving temperature. Chapter 16 Lesson 6 and Recognize angles, perpendicular, and parallel lines. Understand, identify and name a point, a line, a line segment, and an angle. Compare angles to a right angle and identify right angles in plane shape using a tester (The corner of the folded paper). Define and identify perpendicular lines and parallel lines. Chapter 17 Lesson 1 and 2 Chapter 17 Lesson 3 and 4

21 Page 21 Grade 3 STANDARD 2 Geometry and measurement concepts - Students will name describe, measure and compare geometric shapes and their properties. By the end of grade 3 students will be Classify polygons. Determine congruency and symmetry of figures. Students will be achieving this outcome when they, for Grade 3 Teacher s Edition Identify open and close figures. Identify and classify Chapter 18 Lesson 1 the special polygons (triangle, rectangle, square, pentagon, hexagon, octagon,...) by the number of sides, vertices, and angles. Identify and classify quadrilaterals by parallel sides, length of sides, and angles. Combine and separate polygons to make other polygons. Identify a slide, flip, and turn. Slide, flip, and turn shapes to make congruent figures. Identify congruent figures. Chapter 18 Lesson 2 Identify symmetric figures. Use folding to find a line Chapter 18 Lesson 3 of symmetry Find the area and perimeter of figures. Understand the meaning of area. Use square units to find the area of plane figures made of squares and half-squares. Compare the area of plane figures. Represent whole-number products as rectangular areas. Find the area of figures by separating them into two rectangles and adding their areas. Understand the meaning of perimeter. Find the perimeter of figures using small squares or adding its sides. Understand two figures can have different perimeters even if they have the same area and vice versus. Choose the appropriate tool and units of length to measure perimeter. Chapter 19 Lesson 1, 2, 3, 4, and 4a

22 Page 22 Grade 3 STANDARD 4 Statistics and probability concepts - Students will use date analysis, statistics and probability to analyze situations. By the end of grade 3 students will be Make bar graph and line plots to solve real-world problems. Students will be achieving this outcome when they, for Make bar graphs with scales using data in picture graphs and tally charts. Read and interpret data from bar graphs. Solve real-world problems using bar graphs. Make a line plot to represent and interpret data. Grade 3 Teacher s Edition Chapter 13 Lesson 1 and 2 Chapter 13 Lesson 3

23 Page 23 Grade 4 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 4 students will be Count and compare numbers to 100,000. Students will be achieving this outcome when they, for Write from 1 to 1,000 in Marshallese. Write numbers to 100,000 in standard form, word form, and expanded form. Compare and order numbers to 100,000. Identify how much more or less one number is than another number. Find the rule in a number pattern. Grade 4 Teacher s Edition Chapter 1 Lesson 1 Chapter 1 Lesson Use multiplication facts and division to find common factors and multiples for whole numbers. Find the common factors and greatest common factor (GCF) of two whole numbers. Identify prime numbers and composite numbers. Find multiples of whole numbers. Find common multiples and the least common multiple of two or more numbers. Chapter 2 Lesson 2 Chapter 2 Lesson Use place value understanding and properties of operations to perform multi-digit arithmetic. Add and subtract multi-digit numbers with and without regrouping. Multiply a whole number of up to four digits by a onedigit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using rectangular arrays, and/or area models. Solve real-world problems. Chapter 1 Lesson 2a and 2b Chapter 3 Lesson 0, 1, 1a, 2, 5, and 5a

24 Page 24 Grade 4 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 4 students will be Use place value understanding and properties of operations to perform multi-digit arithmetic. (continued) Students will be achieving this outcome when they, for Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Solve real-world problems. Grade 4 Teacher s Edition Chapter 3 Lesson 3, 4, 5, and 5a Name wholes and parts of a whole using fractions and mixed numbers. Add and subtract fractions and mixed numbers. Compare unlike fractions using the symbols >, =, or <. Add and subtract unlike fractions using equivalent fractions. Write a mixed number or improper fraction for a model. Show mixed numbers and improper numbers on the number line. Use multiplication and division to rename improper fractions and mixed numbers. Add fractions to get mixed number sums. Subtract fractions from whole numbers. Use a bar model to represent a fraction of a set. Find a fractional part of a number using bar models or a multiplication of fractions and whole numbers. Chapter 6 Lesson 0 Chapter 6 Lessons 1, 2, and 8 Chapter 6 Lesson 3, 4, 5, 6, and 8 Chapter 6 Lesson 7, 7a, and 8

25 Page 25 Grade 4 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 4 students will be Recognize, compare, round, add, and subtract decimals in tenths and hundredths. Students will be achieving this outcome when they, for Read and write tenths and hundredths in decimal and fractional forms. Represent and interpret tenths and hundredths models. Compare and order decimals. Complete number patterns. Round decimals to the nearest whole number or tenth. Express a fraction as a decimal and express a decimal as a fraction. Add and subtract decimals up to two decimal places. Solve real-world problems involving addition and subtraction of decimals. Grade 4 Teacher s Edition Chapter 7 Lessons 1 and 2 Chapter 7 Lesson 3 Chapter 7 Lesson 4 Chapter 7 Lesson 5 Chapter 8 Lesson 1, 2, and 3

26 Page 26 Grade 4 STANDARD 2 Geometry and measurement concepts - Students will name describe, measure and compare geometric shapes and their properties. By the end of grade 4 students will be Identify, measure, and draw angles. Students will be achieving this outcome when they, for Use letters to name rays and angles. Estimate and measure angles with a protractor. Estimate whether the measure of an angle is less than or greater than a right angle(90 ). Use a protractor to draw acute and obtuse angles. Relate 1/4 -, 1/2 -, 3/4 -, and full turns to the number of right angles (90 ). Understand that an angle that turns through 1/360 of a circle is called a "onedegree angle". Find unknown angles on a diagram using addition or subtraction. Solve addition and subtraction problems to find unknown angles on a diagram in real-world problems. Grade 4 Teacher s Edition Chapter 9 Lesson 1 and 2 Chapter 9 Lesson 3 and 3a Chapter 9 Lesson 3b Identify and draw perpendicular and parallel line segments as well as horizontal and vertical lines. Draw perpendicular line segments and parallel lines segments using a protractor, a drawing triangles and grid paper. Understand the terms horizontal and vertical lines and identify horizontal and vertical lines in given figures and in your surroundings. Chapter 10 Lessons 1 and 2 Chapter 10 Lesson Identify squares and rectangles based on their properties. Understand and apply the properties of squares and rectangles. Find unknown angle measures and side lengths of squares, rectangles, and composite figures made up of squares and rectangles. Chapter 11 Lesson 1 and 2

27 Page 27 Grade 4 STANDARD 2 Geometry and measurement concepts - Students will name describe, measure and compare geometric shapes and their properties. By the end of grade 4 students will be Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Students will be achieving this outcome when they, for Know relative sizes of measurement units within one system of units including km,m, cm; kg, g; lb., oz.; l, ml; hr., min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. Solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. Grade 4 Teacher s Edition Chapter 12 Lesson 0a, 0b, 0c, and 0d Chapter 12 Lesson 1, 2, 3, and 4 4,2,5 Identify lines of symmetry, identify and create shapes and patterns with line and rotational Identify lines of symmetry of a figure. Relate rotational symmetry to turns. Trace a figure to determine whether it has rotational symmetry. Draw a shape or pattern about a line of symmetry and check for rotational symmetry. Complete a symmetric shape or pattern. Create symmetric patterns on grid paper. Chapter 13 Lesson 1, 2, and 3

28 Page 28 Grade 4 STANDARD 4 Statistics and probability concepts - Students will use date analysis, statistics and probability to analyze situations. By the end of grade 4 students will be Represent and interpret data. Students will be achieving this outcome when they, for Collect, organize, and interpret data in a table. Create a table from data in a tally chart and a bar graph. Read and interpret data in a table, using rows, columns, and intersections. Make, read, and interpret line graphs. Choose an appropriate graph (bar graph, picture graph and line graph) to display a given data set. Grade 4 Teacher s Edition Chapter 4 Lesson 1 and 2 Chapter 4 Lesson Analyze data to find a typical value for a data set. Find the mean (average), median, mode, and range of a set of data. Solve problems of line plots including fractional units. Solve real-world problems involving the mean, median, mode, and range. Organize and represent data in a stem-and-leaf plot. Use a stem-and-leaf plot to find median, mode, and range. Solve real-world problems involving a stemand-leaf plot. Chapter 5 Lesson 1, 2, and 6 Chapter 6 Lesson 8a Chapter 5 Lesson 3 and Predict the likelihood of an outcome. Decide whether an outcome is certain, more likely, equally likely, less likely, or impossible. Determine the probability of an event. Express probability as a fraction. Solve real-world problems involving probability. Chapter 5 Lesson 4, 5, and 6

29 Page 29 Grade 5 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 5 students will be Count, compare and estimate numbers to 10,000,000 using place value. Grade 5 Teacher s Edition Count by ten thousands and hundred thousands to 10,000,000. Use place-value charts to show numbers to 10,000,000 and identify the place value of any digit in numbers. Read and write the numbers in standard form, in word form and in expanded form. Chapter 1 Lesson 1 and 2 Compare and order numbers to 10,000,000. Identify and complete a number pattern. Find a rule for a number pattern. Chapter 1 Lesson 3 Estimate numbers using rounding, and compatible numbers. Chapter 1 Lesson Use rules and strategies to multiply and divide multi-digit numbers. Use the order of operations to evaluate numeric expressions. Multiply numbers by 10, 100, or 1,000 on the placevalue chart and find the pattern up to 4 digits. Multiply whole numbers by powers of ten (10 squared or 10 cubed). Multiply a 2-,3-, or 4-digit number by a 2 -digit number. Solve real-world multi-step problems. Express and interpret the product appropriately. Divide numbers by 10, 100, or 1,000 on the place value chart and find the pattern up to 4 digits. Divide a 2-, 3-, or 4-digit number by a 2-digit number. Solve real-world multi-step problems Express and interpret the quotient appropriately. Use order of operation to simplify a numeric expression. Chapter 2 Lesson 2, 2a, 3, and 7 Chapter 2 Lesson 4, 5, and 7 Chapter 2 Lesson 6

30 Page 30 Grade 5 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 5 students will be Add and subtract unlike fractions and mixed numbers by rewriting them with like denominators. Grade 5 Teacher s Edition Add and subtract fractions with unlike denominators Chapter 3 (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to Lesson 1, 2, 5, 6, and 7 produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/ /12 = 23/12 (In general, a/b + c/d = (ad + bc)/bd). Use estimate to deepen the understanding of fraction concept. Solve real-world problems involving fractions and mixed numbers. Express fractions as division of the numerator by the Chapter 3 Lesson 3, 4, and 7 denominator (a/b = a b) and mixed numbers as decimals Apply and extend previous understanding of multiplication and division to multiply and divide fractions. Use model to multiply fractions. Multiply proper fractions. Multiply improper fractions by proper or improper fractions. Multiply mixed number by a whole number. Compare the size of a product to the size of its factors. Solve real-world problems involving multiplication of proper fractions, whole numbers, and mixed numbers. Divide a fraction by a whole number. Divide a whole number by a unit fraction. Solve real- world problems. Chapter 6 Lesson0 Chapter 4 Lesson 0, 1, 2, 3, 4, 5, and 7 Chapter 4 Lesson 6, 6a, 7, and 7a

31 Page 31 Grade 5 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 5 students will be Compare two numbers or quantities by division and express as a ratio. Grade 5 Teacher s Edition Read and write ratios using a colon,": "with two or three quantities. Find the equivalent ratios with two or three quantities. Solve real-world problems involving ratios. Chapter 7 Lesson 1, 2, 3, 5, and 6 Interpret ratios given in fraction form. Write ratios in Chapter 7 Lesson 4 and 6 fraction form to find how many times as large as one number another number Recognize, compare, and round decimals in thousandths. Read and write thousandths in decimal and fractional forms. Represent and interpret thousandths in models or in placevalue charts. Write a fraction with denominator 1,000 as a decimal. Rewrite decimals as fractions and mixed numbers in simplest form. Compare and order decimals to 3 decimal places. Round decimals to the nearest hundredth. Chapter 8 Lesson 1 and 3 Chapter 8 Lesson 2

32 Page 32 Grade 5 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 5 students will be Multiply and divide decimals with one or two decimal places with and without regrouping. example Multiply tenths and hundredths by a 1-digit whole number, and multiples of 10, 100, and 1,000, and powers of ten( 10 squared or 10 cubed). Solve realworld problems involving decimals. Divide tenths and hundredths by a 1-digit whole number, and multiples of 10, 100, and 1,000. Solve real-world problems involving decimals. Estimate decimal sums, differences, products, and quotients. Grade 5 Teacher s Edition Chapter 9 Lesson 1, 2, 2a and 6 Chapter 9 Lesson 3, 4, and 6 Chapter 9 Lesson Understand percent concepts and use percent to solve problems. Relate and compare percents, decimals, and fractions. Convert one into another expression. Express fractions as percents by drawing Bar Models. Use different ways to find the number represented by a percent. (Way 1. find the value of 1% firstly and multiply the number of percent. Way 2. Convert the percent into fraction and multiply the whole ). Solve real-world problems involving percents. Chapter 10 Lesson 1 and 2 Chapter 10 Lesson 3 and 4

33 Page 33 Grade 5 STANDARD 2 Geometry and measurement concepts - Students will name describe, measure and compare geometric shapes and their properties. By the end of grade 5 students will be Find the area of a triangle using a formula. Identify the base given the height of a triangle and the height given the base of a triangle. Find the area of a triangle given its base and its height by using formula. Grade 5 Teacher s Edition Chapter 6 Lesson 1 and Understand and apply the properties of angles. Understand and apply the property that the sum of angle measures on a line is 180 and the sum of angle measures at a point is 360. Understand and apply the property that vertical angles have equal measures. Chapter Identify properties of triangles and four-sided figures. Classify triangles by their side lengths and angle measures. Understand and apply the property that the sum of the angle measures of a triangle is 180. Apply the properties of right, isosceles, and equilateral triangles. Chapter 13 Lesson 1, 2, and Identify and classify solid figures. Identify and classify prisms, pyramids, cylinders, spheres, and cones by the number of faces, edges, and vertices. Visualize solid figures (prism and pyramid and cylinder) using nets and identify the solid figure that can be formed from a net. Chapter 14 Lesson 1 and 2

34 Page 34 Grade 5 STANDARD 2 Geometry and measurement concepts - Students will name describe, measure and compare geometric shapes and their properties. By the end of grade 5 students will be Find the surface area of a prisms. Find the volume of rectangular prisms and liquids in rectangular containers. Grade 5 Teacher s Edition Build solids using unit cubes. Determine the number Chapter 15 Lesson 1 of unit cubes in an irregular solid. Draw and complete a partially drawn a cube and a rectangular prism on dot paper. Chapter 15 Lesson 2 Find the surface area of a prism(cube, rectangular prism, and triangular prism) by adding the area of each face. Chapter 15 Lesson 3 Find the volumes (cubes, rectangular prisms, a solid Chapter 15 constructed from unit cubes, and a solid figure composed Lesson 4, 5, 5a, and 5b of two rectangular prisms). Compare volumes (cubes, rectangular prism, and other objects). Find the volume of a rectangular prism using a formula. Find the capacity of a rectangular container. Solve realworld problems involving volume of rectangular prism, a solid figure composed of two rectangular prisms, and liquids.

35 Page 35 Grade 5 STANDARD 3 Patterns, functions, and algebra concepts - Students will describe patterns and represent them with tables, graphs, equations, and verbal rules. By the end of grade 5 students will be Graph and interpret linear equations on the first quadrant (positive). Read and plot points on a coordinate grid. Graph an equation. Grade 5 Teacher s Edition Chapter 11 Lesson 2 STANDARD 4 Statistics and probability concepts - Students will use date analysis, statistics and probability to analyze situations. By the end of grade 5 students will be Represent and interpret data. Make and interpret a double bar graph. Make a line plot to represent data given in fractions of a unit. Use operations on fractions to solve problems from the information presented. Chapter 11 Lesson 1 Chapter 11 Lesson 1.a To find the number of possible combinations. Understand theoretical and experimental probability. List and count all possible combinations. Draw a tree diagram to show all possible combinations. Use multiplication to find the number of combinations. Find and compare the results of an experiment with the theoretical probability. Chapter 11 Lesson 3 Chapter 11 Lesson 4

36 Page 36 Grade 6 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 6 students will be Understand Positive and Negative Number, and the Number Line. Focus in Math Grade 6 Teacher s Edition Represent whole numbers, fractions, and decimals on a horizontal or vertical number line. Interpret and write statements of inequality for two given positive number using the symbols > and <. Chapter 1 Lesson 1 Express a whole number as a product of its prime factors by using Method 1(Ladder Method) and Method 2(Fact tree). Chapter 1 Lesson 2 Find the common factors, the greatest common factor Chapter 1 Lesson 3 less than or equal to 100, common multiples, and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express as 4 (9 + 2). Find a square of a number and a cube of a number. Oppositely find a square root of a perfect square and a cube root of a perfect cube by using the multiplication facts or prime factorization. Evaluate numerical expressions involving whole number squared and cubed. Chapter 1 Lessons 4 and 5 Use negative numbers to represent real-world quantities. Represent, compare, and order positive and negative numbers on a number line. Chapter 2 Lesson 1

37 Page 37 Grade 6 STANDARD 1 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 6 students will be Understand Positive and Negative Number, and the Number Line. (continued) Grade 6 Teacher s Edition Understand the absolute value of a number as its distance from 0 on the number line. Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. Chapter 2 Lesson Apply and extend previous understandings of multiplication and division to divide fractions by fractions and decimals by decimals Extend previous under- standings of ratio and percent. Understand rates. Apply them to solve the realworld problems. Divide a fraction, whole number, or mixed number by fraction or a mixed number, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. Multiply a decimal by a decimal. Divide a whole number or a decimal by a decimal. Solve real-world problems involving fractions and decimals. Write ratios to compare two quantities. Interpret ratios given in fraction form. Use a ratio to find what fraction one quantity is of another or how many times as great one is as the other. Write equivalent ratios. Write ratios in simplest form. Compare ratios. Solve realworld problems involving ratios. Draw model to solve problems involving ratios. Solve problems involving rate, unit rate, unit pricing, and constant speed. For example, if Sarah earns $23 in one hour, the unit rate is $23/h. Chapter 3 Lesson 1 Chapter 3 Lesson 2 Chapter 3 Lesson 3 Chapter 3 Lesson 4 Chapter 4 Lessons 1, 2 and 3 Chapter 4 Lessons 1 and 23

38 Page 38 Grade 6 STANDARD 2 Number sense, operations, mental computations and estimation - Students will develop number sense and an understanding of numbers and operations By the end of grade 6 students will be Extend previous under- standings of ratio and percent. Understand rates. Apply them to solve the real- world problems. (continued) Understand percent notation. Write percent using equivalent fractions, decimals and convert each other. Solve three kinds of variation problems; to find the quantity represented by the percent, to find the percent represented by a quantity, and to find the whole given a quantity and its percent. Solve problems involving percent increase and decrease. Grade 6 Teacher s Edition Chapter 6 Lesson 1 and 2 Chapter 6 Lesson 3 and 4 Chapter 6 Lesson 5

39 Page 39 Grade 6 STANDARD 2 Geometry and measurement concepts - Students will name describe, measure and compare geometric shapes and their properties. By the end of grade 6 students will be Solve real-world and mathematical problems involving area, surface area, and volume. Grade 6 Teacher s Edition Name and locate points on the coordinate plane. Draw and identify polygons on the coordinate plane. Chapter 9 Lesson 1 Find lengths of horizontal and vertical line segments on the coordinate plane. Solve real- world problems involving coordinates and a coordinate plane. Chapter 9 Lesson 2 Use a triangle formula ( A = 1/2 bh ), a parallelogram formula( A = bh ), and a trapezoid formula ( A = 1/2 h (b1+b2) ) to find the area of each figure, given its base(s) and height. Find the area of a regular polygon by dividing it into triangles. Recognize that a plane figure is made up of polygons. Solve problems involving areas of composite figures. Chapter 10 Identify parts of a circle, center, radius (radii), diameter, and arc. Use formulas to find the circumference of a circle. Identify semicircles and quarter circles (quadrants) and find the length of the arc of them or the distance around them. Use formulas to calculate the areas of circles, semicircles, and quadrants. Solve real-world problems involving circles, semicircles, quadrants, and composite figures. Chapter 11 Identify the nets of a prism and a pyramid and identify the solid formed by a given net. Chapter 12 Lesson 1 Find the surface area of a prism and a pyramid. Chapter 12 Lesson 2 Use a formula ( V = lwh or V = Bh ) to find the volume of a prism. Chapter 12 Lesson 3 Solve real-world problems involving surface area and volume of prism. Chapter 12 Lesson 4